xref: /third_party/node/deps/ada/ada.cpp

/* auto-generated on 2023-07-23 15:03:22 -0400. Do not edit! */
/* begin file src/ada.cpp */
#include "ada.h"
/* begin file src/checkers.cpp */
#include <algorithm>

namespace ada::checkers {

ada_really_inline ada_constexpr bool is_ipv4(std::string_view view) noexcept {
  size_t last_dot = view.rfind('.');
  if (last_dot == view.size() - 1) {
    view.remove_suffix(1);
    last_dot = view.rfind('.');
  }
  std::string_view number =
      (last_dot == std::string_view::npos) ? view : view.substr(last_dot + 1);
  if (number.empty()) {
    return false;
  }
  /** Optimization opportunity: we have basically identified the last number of
     the ipv4 if we return true here. We might as well parse it and have at
     least one number parsed when we get to parse_ipv4. */
  if (std::all_of(number.begin(), number.end(), ada::checkers::is_digit)) {
    return true;
  }
  return (checkers::has_hex_prefix(number) &&
          std::all_of(number.begin() + 2, number.end(),
                      ada::unicode::is_lowercase_hex));
}

// for use with path_signature, we include all characters that need percent
// encoding.
static constexpr uint8_t path_signature_table[256] = {
    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, 1, 1, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 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, 2, 0, 0, 0,
    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, 0, 1, 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(path_signature_table[uint8_t('?')] == 1);
static_assert(path_signature_table[uint8_t('`')] == 1);
static_assert(path_signature_table[uint8_t('{')] == 1);
static_assert(path_signature_table[uint8_t('}')] == 1);
//
static_assert(path_signature_table[uint8_t(' ')] == 1);
static_assert(path_signature_table[uint8_t('?')] == 1);
static_assert(path_signature_table[uint8_t('"')] == 1);
static_assert(path_signature_table[uint8_t('#')] == 1);
static_assert(path_signature_table[uint8_t('<')] == 1);
static_assert(path_signature_table[uint8_t('>')] == 1);
static_assert(path_signature_table[uint8_t('\\')] == 2);
static_assert(path_signature_table[uint8_t('.')] == 4);
static_assert(path_signature_table[uint8_t('%')] == 8);

//
static_assert(path_signature_table[0] == 1);
static_assert(path_signature_table[31] == 1);
static_assert(path_signature_table[127] == 1);
static_assert(path_signature_table[128] == 1);
static_assert(path_signature_table[255] == 1);

ada_really_inline constexpr uint8_t path_signature(
    std::string_view input) noexcept {
  // The path percent-encode set is the query percent-encode set and U+003F (?),
  // U+0060 (`), U+007B ({), and U+007D (}). The query percent-encode set is the
  // C0 control percent-encode set and U+0020 SPACE, U+0022 ("), U+0023 (#),
  // U+003C (<), and U+003E (>). The C0 control percent-encode set are the C0
  // controls and all code points greater than U+007E (~).
  size_t i = 0;
  uint8_t accumulator{};
  for (; i + 7 < input.size(); i += 8) {
    accumulator |= uint8_t(path_signature_table[uint8_t(input[i])] |
                           path_signature_table[uint8_t(input[i + 1])] |
                           path_signature_table[uint8_t(input[i + 2])] |
                           path_signature_table[uint8_t(input[i + 3])] |
                           path_signature_table[uint8_t(input[i + 4])] |
                           path_signature_table[uint8_t(input[i + 5])] |
                           path_signature_table[uint8_t(input[i + 6])] |
                           path_signature_table[uint8_t(input[i + 7])]);
  }
  for (; i < input.size(); i++) {
    accumulator |= uint8_t(path_signature_table[uint8_t(input[i])]);
  }
  return accumulator;
}

ada_really_inline constexpr bool verify_dns_length(
    std::string_view input) noexcept {
  if (input.back() == '.') {
    if (input.size() > 254) return false;
  } else if (input.size() > 253)
    return false;

  size_t start = 0;
  while (start < input.size()) {
    auto dot_location = input.find('.', start);
    // If not found, it's likely the end of the domain
    if (dot_location == std::string_view::npos) dot_location = input.size();

    auto label_size = dot_location - start;
    if (label_size > 63 || label_size == 0) return false;

    start = dot_location + 1;
  }

  return true;
}
}  // namespace ada::checkers
/* end file src/checkers.cpp */
/* begin file src/unicode.cpp */

ADA_PUSH_DISABLE_ALL_WARNINGS
/* begin file src/ada_idna.cpp */
/* auto-generated on 2023-05-07 19:12:14 -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},
	{1353, 16906243}, {1354, 16906499}, {1355, 16906755}, {1356, 16907011},
	{1357, 16907267}, {1358, 16907523}, {1359, 16907779}, {1360, 16908035},
	{1361, 16908291}, {1362, 16908547}, {1363, 16908803}, {1364, 16909059},
	{1365, 16909315}, {1366, 16909571}, {1367, 2}, {1369, 1},
	{1415, 33687043}, {1416, 1}, {1419, 2}, {1421, 1},
	{1424, 2}, {1425, 1}, {1480, 2}, {1488, 1},
	{1515, 2}, {1519, 1}, {1525, 2}, {1542, 1},
	{1564, 2}, {1565, 1}, {1653, 33687555}, {1654, 33688067},
	{1655, 33688579}, {1656, 33689091}, {1657, 1}, {1757, 2},
	{1758, 1}, {1806, 2}, {1808, 1}, {1867, 2},
	{1869, 1}, {1970, 2}, {1984, 1}, {2043, 2},
	{2045, 1}, {2094, 2}, {2096, 1}, {2111, 2},
	{2112, 1}, {2140, 2}, {2142, 1}, {2143, 2},
	{2144, 1}, {2155, 2}, {2160, 1}, {2191, 2},
	{2200, 1}, {2274, 2}, {2275, 1}, {2392, 33689603},
	{2393, 33690115}, {2394, 33690627}, {2395, 33691139}, {2396, 33691651},
	{2397, 33692163}, {2398, 33692675}, {2399, 33693187}, {2400, 1},
	{2436, 2}, {2437, 1}, {2445, 2}, {2447, 1},
	{2449, 2}, {2451, 1}, {2473, 2}, {2474, 1},
	{2481, 2}, {2482, 1}, {2483, 2}, {2486, 1},
	{2490, 2}, {2492, 1}, {2501, 2}, {2503, 1},
	{2505, 2}, {2507, 1}, {2511, 2}, {2519, 1},
	{2520, 2}, {2524, 33693699}, {2525, 33694211}, {2526, 2},
	{2527, 33694723}, {2528, 1}, {2532, 2}, {2534, 1},
	{2559, 2}, {2561, 1}, {2564, 2}, {2565, 1},
	{2571, 2}, {2575, 1}, {2577, 2}, {2579, 1},
	{2601, 2}, {2602, 1}, {2609, 2}, {2610, 1},
	{2611, 33695235}, {2612, 2}, {2613, 1}, {2614, 33695747},
	{2615, 2}, {2616, 1}, {2618, 2}, {2620, 1},
	{2621, 2}, {2622, 1}, {2627, 2}, {2631, 1},
	{2633, 2}, {2635, 1}, {2638, 2}, {2641, 1},
	{2642, 2}, {2649, 33696259}, {2650, 33696771}, {2651, 33697283},
	{2652, 1}, {2653, 2}, {2654, 33697795}, {2655, 2},
	{2662, 1}, {2679, 2}, {2689, 1}, {2692, 2},
	{2693, 1}, {2702, 2}, {2703, 1}, {2706, 2},
	{2707, 1}, {2729, 2}, {2730, 1}, {2737, 2},
	{2738, 1}, {2740, 2}, {2741, 1}, {2746, 2},
	{2748, 1}, {2758, 2}, {2759, 1}, {2762, 2},
	{2763, 1}, {2766, 2}, {2768, 1}, {2769, 2},
	{2784, 1}, {2788, 2}, {2790, 1}, {2802, 2},
	{2809, 1}, {2816, 2}, {2817, 1}, {2820, 2},
	{2821, 1}, {2829, 2}, {2831, 1}, {2833, 2},
	{2835, 1}, {2857, 2}, {2858, 1}, {2865, 2},
	{2866, 1}, {2868, 2}, {2869, 1}, {2874, 2},
	{2876, 1}, {2885, 2}, {2887, 1}, {2889, 2},
	{2891, 1}, {2894, 2}, {2901, 1}, {2904, 2},
	{2908, 33698307}, {2909, 33698819}, {2910, 2}, {2911, 1},
	{2916, 2}, {2918, 1}, {2936, 2}, {2946, 1},
	{2948, 2}, {2949, 1}, {2955, 2}, {2958, 1},
	{2961, 2}, {2962, 1}, {2966, 2}, {2969, 1},
	{2971, 2}, {2972, 1}, {2973, 2}, {2974, 1},
	{2976, 2}, {2979, 1}, {2981, 2}, {2984, 1},
	{2987, 2}, {2990, 1}, {3002, 2}, {3006, 1},
	{3011, 2}, {3014, 1}, {3017, 2}, {3018, 1},
	{3022, 2}, {3024, 1}, {3025, 2}, {3031, 1},
	{3032, 2}, {3046, 1}, {3067, 2}, {3072, 1},
	{3085, 2}, {3086, 1}, {3089, 2}, {3090, 1},
	{3113, 2}, {3114, 1}, {3130, 2}, {3132, 1},
	{3141, 2}, {3142, 1}, {3145, 2}, {3146, 1},
	{3150, 2}, {3157, 1}, {3159, 2}, {3160, 1},
	{3163, 2}, {3165, 1}, {3166, 2}, {3168, 1},
	{3172, 2}, {3174, 1}, {3184, 2}, {3191, 1},
	{3213, 2}, {3214, 1}, {3217, 2}, {3218, 1},
	{3241, 2}, {3242, 1}, {3252, 2}, {3253, 1},
	{3258, 2}, {3260, 1}, {3269, 2}, {3270, 1},
	{3273, 2}, {3274, 1}, {3278, 2}, {3285, 1},
	{3287, 2}, {3293, 1}, {3295, 2}, {3296, 1},
	{3300, 2}, {3302, 1}, {3312, 2}, {3313, 1},
	{3316, 2}, {3328, 1}, {3341, 2}, {3342, 1},
	{3345, 2}, {3346, 1}, {3397, 2}, {3398, 1},
	{3401, 2}, {3402, 1}, {3408, 2}, {3412, 1},
	{3428, 2}, {3430, 1}, {3456, 2}, {3457, 1},
	{3460, 2}, {3461, 1}, {3479, 2}, {3482, 1},
	{3506, 2}, {3507, 1}, {3516, 2}, {3517, 1},
	{3518, 2}, {3520, 1}, {3527, 2}, {3530, 1},
	{3531, 2}, {3535, 1}, {3541, 2}, {3542, 1},
	{3543, 2}, {3544, 1}, {3552, 2}, {3558, 1},
	{3568, 2}, {3570, 1}, {3573, 2}, {3585, 1},
	{3635, 33699331}, {3636, 1}, {3643, 2}, {3647, 1},
	{3676, 2}, {3713, 1}, {3715, 2}, {3716, 1},
	{3717, 2}, {3718, 1}, {3723, 2}, {3724, 1},
	{3748, 2}, {3749, 1}, {3750, 2}, {3751, 1},
	{3763, 33699843}, {3764, 1}, {3774, 2}, {3776, 1},
	{3781, 2}, {3782, 1}, {3783, 2}, {3784, 1},
	{3791, 2}, {3792, 1}, {3802, 2}, {3804, 33700355},
	{3805, 33700867}, {3806, 1}, {3808, 2}, {3840, 1},
	{3852, 16924163}, {3853, 1}, {3907, 33701635}, {3908, 1},
	{3912, 2}, {3913, 1}, {3917, 33702147}, {3918, 1},
	{3922, 33702659}, {3923, 1}, {3927, 33703171}, {3928, 1},
	{3932, 33703683}, {3933, 1}, {3945, 33704195}, {3946, 1},
	{3949, 2}, {3953, 1}, {3955, 33704707}, {3956, 1},
	{3957, 33705219}, {3958, 33705731}, {3959, 50483459}, {3960, 33707011},
	{3961, 50484739}, {3962, 1}, {3969, 33706499}, {3970, 1},
	{3987, 33708291}, {3988, 1}, {3992, 2}, {3993, 1},
	{3997, 33708803}, {3998, 1}, {4002, 33709315}, {4003, 1},
	{4007, 33709827}, {4008, 1}, {4012, 33710339}, {4013, 1},
	{4025, 33710851}, {4026, 1}, {4029, 2}, {4030, 1},
	{4045, 2}, {4046, 1}, {4059, 2}, {4096, 1},
	{4256, 2}, {4295, 16934147}, {4296, 2}, {4301, 16934403},
	{4302, 2}, {4304, 1}, {4348, 16934659}, {4349, 1},
	{4447, 2}, {4449, 1}, {4681, 2}, {4682, 1},
	{4686, 2}, {4688, 1}, {4695, 2}, {4696, 1},
	{4697, 2}, {4698, 1}, {4702, 2}, {4704, 1},
	{4745, 2}, {4746, 1}, {4750, 2}, {4752, 1},
	{4785, 2}, {4786, 1}, {4790, 2}, {4792, 1},
	{4799, 2}, {4800, 1}, {4801, 2}, {4802, 1},
	{4806, 2}, {4808, 1}, {4823, 2}, {4824, 1},
	{4881, 2}, {4882, 1}, {4886, 2}, {4888, 1},
	{4955, 2}, {4957, 1}, {4989, 2}, {4992, 1},
	{5018, 2}, {5024, 1}, {5110, 2}, {5112, 16934915},
	{5113, 16935171}, {5114, 16935427}, {5115, 16935683}, {5116, 16935939},
	{5117, 16936195}, {5118, 2}, {5120, 1}, {5760, 2},
	{5761, 1}, {5789, 2}, {5792, 1}, {5881, 2},
	{5888, 1}, {5910, 2}, {5919, 1}, {5943, 2},
	{5952, 1}, {5972, 2}, {5984, 1}, {5997, 2},
	{5998, 1}, {6001, 2}, {6002, 1}, {6004, 2},
	{6016, 1}, {6068, 2}, {6070, 1}, {6110, 2},
	{6112, 1}, {6122, 2}, {6128, 1}, {6138, 2},
	{6144, 1}, {6150, 2}, {6151, 1}, {6155, 0},
	{6158, 2}, {6159, 0}, {6160, 1}, {6170, 2},
	{6176, 1}, {6265, 2}, {6272, 1}, {6315, 2},
	{6320, 1}, {6390, 2}, {6400, 1}, {6431, 2},
	{6432, 1}, {6444, 2}, {6448, 1}, {6460, 2},
	{6464, 1}, {6465, 2}, {6468, 1}, {6510, 2},
	{6512, 1}, {6517, 2}, {6528, 1}, {6572, 2},
	{6576, 1}, {6602, 2}, {6608, 1}, {6619, 2},
	{6622, 1}, {6684, 2}, {6686, 1}, {6751, 2},
	{6752, 1}, {6781, 2}, {6783, 1}, {6794, 2},
	{6800, 1}, {6810, 2}, {6816, 1}, {6830, 2},
	{6832, 1}, {6863, 2}, {6912, 1}, {6989, 2},
	{6992, 1}, {7039, 2}, {7040, 1}, {7156, 2},
	{7164, 1}, {7224, 2}, {7227, 1}, {7242, 2},
	{7245, 1}, {7296, 16867075}, {7297, 16867587}, {7298, 16870147},
	{7299, 16870915}, {7300, 16871171}, {7302, 16873219}, {7303, 16875011},
	{7304, 16936451}, {7305, 2}, {7312, 16936707}, {7313, 16936963},
	{7314, 16937219}, {7315, 16937475}, {7316, 16937731}, {7317, 16937987},
	{7318, 16938243}, {7319, 16938499}, {7320, 16938755}, {7321, 16939011},
	{7322, 16939267}, {7323, 16939523}, {7324, 16934659}, {7325, 16939779},
	{7326, 16940035}, {7327, 16940291}, {7328, 16940547}, {7329, 16940803},
	{7330, 16941059}, {7331, 16941315}, {7332, 16941571}, {7333, 16941827},
	{7334, 16942083}, {7335, 16942339}, {7336, 16942595}, {7337, 16942851},
	{7338, 16943107}, {7339, 16943363}, {7340, 16943619}, {7341, 16943875},
	{7342, 16944131}, {7343, 16944387}, {7344, 16944643}, {7345, 16944899},
	{7346, 16945155}, {7347, 16945411}, {7348, 16945667}, {7349, 16945923},
	{7350, 16946179}, {7351, 16946435}, {7352, 16946691}, {7353, 16946947},
	{7354, 16947203}, {7355, 2}, {7357, 16947459}, {7358, 16947715},
	{7359, 16947971}, {7360, 1}, {7368, 2}, {7376, 1},
	{7419, 2}, {7424, 1}, {7468, 16777219}, {7469, 16791043},
	{7470, 16777475}, {7471, 1}, {7472, 16777987}, {7473, 16778243},
	{7474, 16816131}, {7475, 16778755}, {7476, 16779011}, {7477, 16779267},
	{7478, 16779523}, {7479, 16779779}, {7480, 16780035}, {7481, 16780291},
	{7482, 16780547}, {7483, 1}, {7484, 16780803}, {7485, 16835843},
	{7486, 16781059}, {7487, 16781571}, {7488, 16782083}, {7489, 16782339},
	{7490, 16782851}, {7491, 16777219}, {7492, 16948227}, {7493, 16948483},
	{7494, 16948739}, {7495, 16777475}, {7496, 16777987}, {7497, 16778243},
	{7498, 16816387}, {7499, 16816643}, {7500, 16948995}, {7501, 16778755},
	{7502, 1}, {7503, 16779779}, {7504, 16780291}, {7505, 16807171},
	{7506, 16780803}, {7507, 16814851}, {7508, 16949251}, {7509, 16949507},
	{7510, 16781059}, {7511, 16782083}, {7512, 16782339}, {7513, 16949763},
	{7514, 16818435}, {7515, 16782595}, {7516, 16950019}, {7517, 16851971},
	{7518, 16852227}, {7519, 16852483}, {7520, 16856323}, {7521, 16856579},
	{7522, 16779267}, {7523, 16781571}, {7524, 16782339}, {7525, 16782595},
	{7526, 16851971}, {7527, 16852227}, {7528, 16855299}, {7529, 16856323},
	{7530, 16856579}, {7531, 1}, {7544, 16869891}, {7545, 1},
	{7579, 16950275}, {7580, 16777731}, {7581, 16950531}, {7582, 16793603},
	{7583, 16948995}, {7584, 16778499}, {7585, 16950787}, {7586, 16951043},
	{7587, 16951299}, {7588, 16817923}, {7589, 16817667}, {7590, 16951555},
	{7591, 16951811}, {7592, 16952067}, {7593, 16952323}, {7594, 16952579},
	{7595, 16952835}, {7596, 16953091}, {7597, 16953347}, {7598, 16818691},
	{7599, 16953603}, {7600, 16953859}, {7601, 16818947}, {7602, 16954115},
	{7603, 16954371}, {7604, 16820483}, {7605, 16954627}, {7606, 16839683},
	{7607, 16821507}, {7608, 16954883}, {7609, 16821763}, {7610, 16839939},
	{7611, 16783619}, {7612, 16955139}, {7613, 16955395}, {7614, 16822531},
	{7615, 16853507}, {7616, 1}, {7680, 16955651}, {7681, 1},
	{7682, 16955907}, {7683, 1}, {7684, 16956163}, {7685, 1},
	{7686, 16956419}, {7687, 1}, {7688, 16956675}, {7689, 1},
	{7690, 16956931}, {7691, 1}, {7692, 16957187}, {7693, 1},
	{7694, 16957443}, {7695, 1}, {7696, 16957699}, {7697, 1},
	{7698, 16957955}, {7699, 1}, {7700, 16958211}, {7701, 1},
	{7702, 16958467}, {7703, 1}, {7704, 16958723}, {7705, 1},
	{7706, 16958979}, {7707, 1}, {7708, 16959235}, {7709, 1},
	{7710, 16959491}, {7711, 1}, {7712, 16959747}, {7713, 1},
	{7714, 16960003}, {7715, 1}, {7716, 16960259}, {7717, 1},
	{7718, 16960515}, {7719, 1}, {7720, 16960771}, {7721, 1},
	{7722, 16961027}, {7723, 1}, {7724, 16961283}, {7725, 1},
	{7726, 16961539}, {7727, 1}, {7728, 16961795}, {7729, 1},
	{7730, 16962051}, {7731, 1}, {7732, 16962307}, {7733, 1},
	{7734, 16962563}, {7735, 1}, {7736, 16962819}, {7737, 1},
	{7738, 16963075}, {7739, 1}, {7740, 16963331}, {7741, 1},
	{7742, 16963587}, {7743, 1}, {7744, 16963843}, {7745, 1},
	{7746, 16964099}, {7747, 1}, {7748, 16964355}, {7749, 1},
	{7750, 16964611}, {7751, 1}, {7752, 16964867}, {7753, 1},
	{7754, 16965123}, {7755, 1}, {7756, 16965379}, {7757, 1},
	{7758, 16965635}, {7759, 1}, {7760, 16965891}, {7761, 1},
	{7762, 16966147}, {7763, 1}, {7764, 16966403}, {7765, 1},
	{7766, 16966659}, {7767, 1}, {7768, 16966915}, {7769, 1},
	{7770, 16967171}, {7771, 1}, {7772, 16967427}, {7773, 1},
	{7774, 16967683}, {7775, 1}, {7776, 16967939}, {7777, 1},
	{7778, 16968195}, {7779, 1}, {7780, 16968451}, {7781, 1},
	{7782, 16968707}, {7783, 1}, {7784, 16968963}, {7785, 1},
	{7786, 16969219}, {7787, 1}, {7788, 16969475}, {7789, 1},
	{7790, 16969731}, {7791, 1}, {7792, 16969987}, {7793, 1},
	{7794, 16970243}, {7795, 1}, {7796, 16970499}, {7797, 1},
	{7798, 16970755}, {7799, 1}, {7800, 16971011}, {7801, 1},
	{7802, 16971267}, {7803, 1}, {7804, 16971523}, {7805, 1},
	{7806, 16971779}, {7807, 1}, {7808, 16972035}, {7809, 1},
	{7810, 16972291}, {7811, 1}, {7812, 16972547}, {7813, 1},
	{7814, 16972803}, {7815, 1}, {7816, 16973059}, {7817, 1},
	{7818, 16973315}, {7819, 1}, {7820, 16973571}, {7821, 1},
	{7822, 16973827}, {7823, 1}, {7824, 16974083}, {7825, 1},
	{7826, 16974339}, {7827, 1}, {7828, 16974595}, {7829, 1},
	{7834, 33752067}, {7835, 16967939}, {7836, 1}, {7838, 33752579},
	{7839, 1}, {7840, 16975875}, {7841, 1}, {7842, 16976131},
	{7843, 1}, {7844, 16976387}, {7845, 1}, {7846, 16976643},
	{7847, 1}, {7848, 16976899}, {7849, 1}, {7850, 16977155},
	{7851, 1}, {7852, 16977411}, {7853, 1}, {7854, 16977667},
	{7855, 1}, {7856, 16977923}, {7857, 1}, {7858, 16978179},
	{7859, 1}, {7860, 16978435}, {7861, 1}, {7862, 16978691},
	{7863, 1}, {7864, 16978947}, {7865, 1}, {7866, 16979203},
	{7867, 1}, {7868, 16979459}, {7869, 1}, {7870, 16979715},
	{7871, 1}, {7872, 16979971}, {7873, 1}, {7874, 16980227},
	{7875, 1}, {7876, 16980483}, {7877, 1}, {7878, 16980739},
	{7879, 1}, {7880, 16980995}, {7881, 1}, {7882, 16981251},
	{7883, 1}, {7884, 16981507}, {7885, 1}, {7886, 16981763},
	{7887, 1}, {7888, 16982019}, {7889, 1}, {7890, 16982275},
	{7891, 1}, {7892, 16982531}, {7893, 1}, {7894, 16982787},
	{7895, 1}, {7896, 16983043}, {7897, 1}, {7898, 16983299},
	{7899, 1}, {7900, 16983555}, {7901, 1}, {7902, 16983811},
	{7903, 1}, {7904, 16984067}, {7905, 1}, {7906, 16984323},
	{7907, 1}, {7908, 16984579}, {7909, 1}, {7910, 16984835},
	{7911, 1}, {7912, 16985091}, {7913, 1}, {7914, 16985347},
	{7915, 1}, {7916, 16985603}, {7917, 1}, {7918, 16985859},
	{7919, 1}, {7920, 16986115}, {7921, 1}, {7922, 16986371},
	{7923, 1}, {7924, 16986627}, {7925, 1}, {7926, 16986883},
	{7927, 1}, {7928, 16987139}, {7929, 1}, {7930, 16987395},
	{7931, 1}, {7932, 16987651}, {7933, 1}, {7934, 16987907},
	{7935, 1}, {7944, 16988163}, {7945, 16988419}, {7946, 16988675},
	{7947, 16988931}, {7948, 16989187}, {7949, 16989443}, {7950, 16989699},
	{7951, 16989955}, {7952, 1}, {7958, 2}, {7960, 16990211},
	{7961, 16990467}, {7962, 16990723}, {7963, 16990979}, {7964, 16991235},
	{7965, 16991491}, {7966, 2}, {7968, 1}, {7976, 16991747},
	{7977, 16992003}, {7978, 16992259}, {7979, 16992515}, {7980, 16992771},
	{7981, 16993027}, {7982, 16993283}, {7983, 16993539}, {7984, 1},
	{7992, 16993795}, {7993, 16994051}, {7994, 16994307}, {7995, 16994563},
	{7996, 16994819}, {7997, 16995075}, {7998, 16995331}, {7999, 16995587},
	{8000, 1}, {8006, 2}, {8008, 16995843}, {8009, 16996099},
	{8010, 16996355}, {8011, 16996611}, {8012, 16996867}, {8013, 16997123},
	{8014, 2}, {8016, 1}, {8024, 2}, {8025, 16997379},
	{8026, 2}, {8027, 16997635}, {8028, 2}, {8029, 16997891},
	{8030, 2}, {8031, 16998147}, {8032, 1}, {8040, 16998403},
	{8041, 16998659}, {8042, 16998915}, {8043, 16999171}, {8044, 16999427},
	{8045, 16999683}, {8046, 16999939}, {8047, 17000195}, {8048, 1},
	{8049, 16849923}, {8050, 1}, {8051, 16850179}, {8052, 1},
	{8053, 16850435}, {8054, 1}, {8055, 16850691}, {8056, 1},
	{8057, 16850947}, {8058, 1}, {8059, 16851203}, {8060, 1},
	{8061, 16851459}, {8062, 2}, {8064, 33777667}, {8065, 33778179},
	{8066, 33778691}, {8067, 33779203}, {8068, 33779715}, {8069, 33780227},
	{8070, 33780739}, {8071, 33781251}, {8072, 33777667}, {8073, 33778179},
	{8074, 33778691}, {8075, 33779203}, {8076, 33779715}, {8077, 33780227},
	{8078, 33780739}, {8079, 33781251}, {8080, 33781763}, {8081, 33782275},
	{8082, 33782787}, {8083, 33783299}, {8084, 33783811}, {8085, 33784323},
	{8086, 33784835}, {8087, 33785347}, {8088, 33781763}, {8089, 33782275},
	{8090, 33782787}, {8091, 33783299}, {8092, 33783811}, {8093, 33784323},
	{8094, 33784835}, {8095, 33785347}, {8096, 33785859}, {8097, 33786371},
	{8098, 33786883}, {8099, 33787395}, {8100, 33787907}, {8101, 33788419},
	{8102, 33788931}, {8103, 33789443}, {8104, 33785859}, {8105, 33786371},
	{8106, 33786883}, {8107, 33787395}, {8108, 33787907}, {8109, 33788419},
	{8110, 33788931}, {8111, 33789443}, {8112, 1}, {8114, 33789955},
	{8115, 33790467}, {8116, 33790979}, {8117, 2}, {8118, 1},
	{8119, 33791491}, {8120, 17014787}, {8121, 17015043}, {8122, 17012739},
	{8123, 16849923}, {8124, 33790467}, {8125, 33792515}, {8126, 16846851},
	{8127, 33792515}, {8128, 33793027}, {8129, 50570755}, {8130, 33794307},
	{8131, 33794819}, {8132, 33795331}, {8133, 2}, {8134, 1},
	{8135, 33795843}, {8136, 17019139}, {8137, 16850179}, {8138, 17017091},
	{8139, 16850435}, {8140, 33794819}, {8141, 50573827}, {8142, 50574595},
	{8143, 50575363}, {8144, 1}, {8147, 17021699}, {8148, 2},
	{8150, 1}, {8152, 17021955}, {8153, 17022211}, {8154, 17022467},
	{8155, 16850691}, {8156, 2}, {8157, 50577155}, {8158, 50577923},
	{8159, 50578691}, {8160, 1}, {8163, 17025027}, {8164, 1},
	{8168, 17025283}, {8169, 17025539}, {8170, 17025795}, {8171, 16851203},
	{8172, 17026051}, {8173, 50580739}, {8174, 50403587}, {8175, 17027075},
	{8176, 2}, {8178, 33804547}, {8179, 33805059}, {8180, 33805571},
	{8181, 2}, {8182, 1}, {8183, 33806083}, {8184, 17029379},
	{8185, 16850947}, {8186, 17027331}, {8187, 16851459}, {8188, 33805059},
	{8189, 33562883}, {8190, 33799939}, {8191, 2}, {8192, 16783875},
	{8203, 0}, {8204, 1}, {8206, 2}, {8208, 1},
	{8209, 17029635}, {8210, 1}, {8215, 33807107}, {8216, 1},
	{8228, 2}, {8231, 1}, {8232, 2}, {8239, 16783875},
	{8240, 1}, {8243, 33807619}, {8244, 50585347}, {8245, 1},
	{8246, 33808899}, {8247, 50586627}, {8248, 1}, {8252, 33810179},
	{8253, 1}, {8254, 33810691}, {8255, 1}, {8263, 33811203},
	{8264, 33811715}, {8265, 33812227}, {8266, 1}, {8279, 67362051},
	{8280, 1}, {8287, 16783875}, {8288, 0}, {8289, 2},
	{8292, 0}, {8293, 2}, {8304, 17035523}, {8305, 16779267},
	{8306, 2}, {8308, 16787715}, {8309, 17035779}, {8310, 17036035},
	{8311, 17036291}, {8312, 17036547}, {8313, 17036803}, {8314, 17037059},
	{8315, 17037315}, {8316, 17037571}, {8317, 17037827}, {8318, 17038083},
	{8319, 16780547}, {8320, 17035523}, {8321, 16786947}, {8322, 16785155},
	{8323, 16785411}, {8324, 16787715}, {8325, 17035779}, {8326, 17036035},
	{8327, 17036291}, {8328, 17036547}, {8329, 17036803}, {8330, 17037059},
	{8331, 17037315}, {8332, 17037571}, {8333, 17037827}, {8334, 17038083},
	{8335, 2}, {8336, 16777219}, {8337, 16778243}, {8338, 16780803},
	{8339, 16783107}, {8340, 16816387}, {8341, 16779011}, {8342, 16779779},
	{8343, 16780035}, {8344, 16780291}, {8345, 16780547}, {8346, 16781059},
	{8347, 16781827}, {8348, 16782083}, {8349, 2}, {8352, 1},
	{8360, 33558787}, {8361, 1}, {8385, 2}, {8400, 1},
	{8433, 2}, {8448, 50592771}, {8449, 50593539}, {8450, 16777731},
	{8451, 33817091}, {8452, 1}, {8453, 50594819}, {8454, 50595587},
	{8455, 16816643}, {8456, 1}, {8457, 33819139}, {8458, 16778755},
	{8459, 16779011}, {8463, 16802051}, {8464, 16779267}, {8466, 16780035},
	{8468, 1}, {8469, 16780547}, {8470, 33557763}, {8471, 1},
	{8473, 16781059}, {8474, 16781315}, {8475, 16781571}, {8478, 1},
	{8480, 33819651}, {8481, 50597379}, {8482, 33820931}, {8483, 1},
	{8484, 16783619}, {8485, 1}, {8486, 16857091}, {8487, 1},
	{8488, 16783619}, {8489, 1}, {8490, 16779779}, {8491, 16790787},
	{8492, 16777475}, {8493, 16777731}, {8494, 1}, {8495, 16778243},
	{8497, 16778499}, {8498, 2}, {8499, 16780291}, {8500, 16780803},
	{8501, 17044227}, {8502, 17044483}, {8503, 17044739}, {8504, 17044995},
	{8505, 16779267}, {8506, 1}, {8507, 50599683}, {8508, 16855043},
	{8509, 16852227}, {8511, 16855043}, {8512, 17046019}, {8513, 1},
	{8517, 16777987}, {8519, 16778243}, {8520, 16779267}, {8521, 16779523},
	{8522, 1}, {8528, 50600707}, {8529, 50601475}, {8530, 67379459},
	{8531, 50603267}, {8532, 50604035}, {8533, 50604803}, {8534, 50605571},
	{8535, 50606339}, {8536, 50607107}, {8537, 50607875}, {8538, 50608643},
	{8539, 50609411}, {8540, 50610179}, {8541, 50610947}, {8542, 50611715},
	{8543, 33564419}, {8544, 16779267}, {8545, 33835267}, {8546, 50612995},
	{8547, 33836547}, {8548, 16782595}, {8549, 33837059}, {8550, 50614787},
	{8551, 67392771}, {8552, 33839363}, {8553, 16783107}, {8554, 33839875},
	{8555, 50617603}, {8556, 16780035}, {8557, 16777731}, {8558, 16777987},
	{8559, 16780291}, {8560, 16779267}, {8561, 33835267}, {8562, 50612483},
	{8563, 33836547}, {8564, 16782595}, {8565, 33837059}, {8566, 50614787},
	{8567, 67392771}, {8568, 33839363}, {8569, 16783107}, {8570, 33839875},
	{8571, 50617603}, {8572, 16780035}, {8573, 16777731}, {8574, 16777987},
	{8575, 16780291}, {8576, 1}, {8579, 2}, {8580, 1},
	{8585, 50618371}, {8586, 1}, {8588, 2}, {8592, 1},
	{8748, 33841923}, {8749, 50619651}, {8750, 1}, {8751, 33843203},
	{8752, 50620931}, {8753, 1}, {9001, 17067267}, {9002, 17067523},
	{9003, 1}, {9255, 2}, {9280, 1}, {9291, 2},
	{9312, 16786947}, {9313, 16785155}, {9314, 16785411}, {9315, 16787715},
	{9316, 17035779}, {9317, 17036035}, {9318, 17036291}, {9319, 17036547},
	{9320, 17036803}, {9321, 33825539}, {9322, 33564163}, {9323, 33844995},
	{9324, 33845507}, {9325, 33846019}, {9326, 33846531}, {9327, 33847043},
	{9328, 33847555}, {9329, 33848067}, {9330, 33848579}, {9331, 33849091},
	{9332, 50626819}, {9333, 50627587}, {9334, 50628355}, {9335, 50629123},
	{9336, 50629891}, {9337, 50630659}, {9338, 50631427}, {9339, 50632195},
	{9340, 50632963}, {9341, 67410947}, {9342, 67411971}, {9343, 67412995},
	{9344, 67414019}, {9345, 67415043}, {9346, 67416067}, {9347, 67417091},
	{9348, 67418115}, {9349, 67419139}, {9350, 67420163}, {9351, 67421187},
	{9352, 2}, {9372, 50644995}, {9373, 50645763}, {9374, 50646531},
	{9375, 50647299}, {9376, 50648067}, {9377, 50648835}, {9378, 50649603},
	{9379, 50650371}, {9380, 50651139}, {9381, 50651907}, {9382, 50652675},
	{9383, 50653443}, {9384, 50654211}, {9385, 50654979}, {9386, 50655747},
	{9387, 50656515}, {9388, 50657283}, {9389, 50658051}, {9390, 50658819},
	{9391, 50659587}, {9392, 50660355}, {9393, 50661123}, {9394, 50661891},
	{9395, 50662659}, {9396, 50663427}, {9397, 50664195}, {9398, 16777219},
	{9399, 16777475}, {9400, 16777731}, {9401, 16777987}, {9402, 16778243},
	{9403, 16778499}, {9404, 16778755}, {9405, 16779011}, {9406, 16779267},
	{9407, 16779523}, {9408, 16779779}, {9409, 16780035}, {9410, 16780291},
	{9411, 16780547}, {9412, 16780803}, {9413, 16781059}, {9414, 16781315},
	{9415, 16781571}, {9416, 16781827}, {9417, 16782083}, {9418, 16782339},
	{9419, 16782595}, {9420, 16782851}, {9421, 16783107}, {9422, 16783363},
	{9423, 16783619}, {9424, 16777219}, {9425, 16777475}, {9426, 16777731},
	{9427, 16777987}, {9428, 16778243}, {9429, 16778499}, {9430, 16778755},
	{9431, 16779011}, {9432, 16779267}, {9433, 16779523}, {9434, 16779779},
	{9435, 16780035}, {9436, 16780291}, {9437, 16780547}, {9438, 16780803},
	{9439, 16781059}, {9440, 16781315}, {9441, 16781571}, {9442, 16781827},
	{9443, 16782083}, {9444, 16782339}, {9445, 16782595}, {9446, 16782851},
	{9447, 16783107}, {9448, 16783363}, {9449, 16783619}, {9450, 17035523},
	{9451, 1}, {10764, 67396355}, {10765, 1}, {10868, 50664963},
	{10869, 33888515}, {10870, 50665475}, {10871, 1}, {10972, 33889027},
	{10973, 1}, {11124, 2}, {11126, 1}, {11158, 2},
	{11159, 1}, {11264, 17112323}, {11265, 17112579}, {11266, 17112835},
	{11267, 17113091}, {11268, 17113347}, {11269, 17113603}, {11270, 17113859},
	{11271, 17114115}, {11272, 17114371}, {11273, 17114627}, {11274, 17114883},
	{11275, 17115139}, {11276, 17115395}, {11277, 17115651}, {11278, 17115907},
	{11279, 17116163}, {11280, 17116419}, {11281, 17116675}, {11282, 17116931},
	{11283, 17117187}, {11284, 17117443}, {11285, 17117699}, {11286, 17117955},
	{11287, 17118211}, {11288, 17118467}, {11289, 17118723}, {11290, 17118979},
	{11291, 17119235}, {11292, 17119491}, {11293, 17119747}, {11294, 17120003},
	{11295, 17120259}, {11296, 17120515}, {11297, 17120771}, {11298, 17121027},
	{11299, 17121283}, {11300, 17121539}, {11301, 17121795}, {11302, 17122051},
	{11303, 17122307}, {11304, 17122563}, {11305, 17122819}, {11306, 17123075},
	{11307, 17123331}, {11308, 17123587}, {11309, 17123843}, {11310, 17124099},
	{11311, 17124355}, {11312, 1}, {11360, 17124611}, {11361, 1},
	{11362, 17124867}, {11363, 17125123}, {11364, 17125379}, {11365, 1},
	{11367, 17125635}, {11368, 1}, {11369, 17125891}, {11370, 1},
	{11371, 17126147}, {11372, 1}, {11373, 16948483}, {11374, 16953091},
	{11375, 16948227}, {11376, 16950275}, {11377, 1}, {11378, 17126403},
	{11379, 1}, {11381, 17126659}, {11382, 1}, {11388, 16779523},
	{11389, 16782595}, {11390, 17126915}, {11391, 17127171}, {11392, 17127427},
	{11393, 1}, {11394, 17127683}, {11395, 1}, {11396, 17127939},
	{11397, 1}, {11398, 17128195}, {11399, 1}, {11400, 17128451},
	{11401, 1}, {11402, 17128707}, {11403, 1}, {11404, 17128963},
	{11405, 1}, {11406, 17129219}, {11407, 1}, {11408, 17129475},
	{11409, 1}, {11410, 17129731}, {11411, 1}, {11412, 17129987},
	{11413, 1}, {11414, 17130243}, {11415, 1}, {11416, 17130499},
	{11417, 1}, {11418, 17130755}, {11419, 1}, {11420, 17131011},
	{11421, 1}, {11422, 17131267}, {11423, 1}, {11424, 17131523},
	{11425, 1}, {11426, 17131779}, {11427, 1}, {11428, 17132035},
	{11429, 1}, {11430, 17132291}, {11431, 1}, {11432, 17132547},
	{11433, 1}, {11434, 17132803}, {11435, 1}, {11436, 17133059},
	{11437, 1}, {11438, 17133315}, {11439, 1}, {11440, 17133571},
	{11441, 1}, {11442, 17133827}, {11443, 1}, {11444, 17134083},
	{11445, 1}, {11446, 17134339}, {11447, 1}, {11448, 17134595},
	{11449, 1}, {11450, 17134851}, {11451, 1}, {11452, 17135107},
	{11453, 1}, {11454, 17135363}, {11455, 1}, {11456, 17135619},
	{11457, 1}, {11458, 17135875}, {11459, 1}, {11460, 17136131},
	{11461, 1}, {11462, 17136387}, {11463, 1}, {11464, 17136643},
	{11465, 1}, {11466, 17136899}, {11467, 1}, {11468, 17137155},
	{11469, 1}, {11470, 17137411}, {11471, 1}, {11472, 17137667},
	{11473, 1}, {11474, 17137923}, {11475, 1}, {11476, 17138179},
	{11477, 1}, {11478, 17138435}, {11479, 1}, {11480, 17138691},
	{11481, 1}, {11482, 17138947}, {11483, 1}, {11484, 17139203},
	{11485, 1}, {11486, 17139459}, {11487, 1}, {11488, 17139715},
	{11489, 1}, {11490, 17139971}, {11491, 1}, {11499, 17140227},
	{11500, 1}, {11501, 17140483}, {11502, 1}, {11506, 17140739},
	{11507, 1}, {11508, 2}, {11513, 1}, {11558, 2},
	{11559, 1}, {11560, 2}, {11565, 1}, {11566, 2},
	{11568, 1}, {11624, 2}, {11631, 17140995}, {11632, 1},
	{11633, 2}, {11647, 1}, {11671, 2}, {11680, 1},
	{11687, 2}, {11688, 1}, {11695, 2}, {11696, 1},
	{11703, 2}, {11704, 1}, {11711, 2}, {11712, 1},
	{11719, 2}, {11720, 1}, {11727, 2}, {11728, 1},
	{11735, 2}, {11736, 1}, {11743, 2}, {11744, 1},
	{11870, 2}, {11904, 1}, {11930, 2}, {11931, 1},
	{11935, 17141251}, {11936, 1}, {12019, 17141507}, {12020, 2},
	{12032, 17141763}, {12033, 17142019}, {12034, 17142275}, {12035, 17142531},
	{12036, 17142787}, {12037, 17143043}, {12038, 17143299}, {12039, 17143555},
	{12040, 17143811}, {12041, 17144067}, {12042, 17144323}, {12043, 17144579},
	{12044, 17144835}, {12045, 17145091}, {12046, 17145347}, {12047, 17145603},
	{12048, 17145859}, {12049, 17146115}, {12050, 17146371}, {12051, 17146627},
	{12052, 17146883}, {12053, 17147139}, {12054, 17147395}, {12055, 17147651},
	{12056, 17147907}, {12057, 17148163}, {12058, 17148419}, {12059, 17148675},
	{12060, 17148931}, {12061, 17149187}, {12062, 17149443}, {12063, 17149699},
	{12064, 17149955}, {12065, 17150211}, {12066, 17150467}, {12067, 17150723},
	{12068, 17150979}, {12069, 17151235}, {12070, 17151491}, {12071, 17151747},
	{12072, 17152003}, {12073, 17152259}, {12074, 17152515}, {12075, 17152771},
	{12076, 17153027}, {12077, 17153283}, {12078, 17153539}, {12079, 17153795},
	{12080, 17154051}, {12081, 17154307}, {12082, 17154563}, {12083, 17154819},
	{12084, 17155075}, {12085, 17155331}, {12086, 17155587}, {12087, 17155843},
	{12088, 17156099}, {12089, 17156355}, {12090, 17156611}, {12091, 17156867},
	{12092, 17157123}, {12093, 17157379}, {12094, 17157635}, {12095, 17157891},
	{12096, 17158147}, {12097, 17158403}, {12098, 17158659}, {12099, 17158915},
	{12100, 17159171}, {12101, 17159427}, {12102, 17159683}, {12103, 17159939},
	{12104, 17160195}, {12105, 17160451}, {12106, 17160707}, {12107, 17160963},
	{12108, 17161219}, {12109, 17161475}, {12110, 17161731}, {12111, 17161987},
	{12112, 17162243}, {12113, 17162499}, {12114, 17162755}, {12115, 17163011},
	{12116, 17163267}, {12117, 17163523}, {12118, 17163779}, {12119, 17164035},
	{12120, 17164291}, {12121, 17164547}, {12122, 17164803}, {12123, 17165059},
	{12124, 17165315}, {12125, 17165571}, {12126, 17165827}, {12127, 17166083},
	{12128, 17166339}, {12129, 17166595}, {12130, 17166851}, {12131, 17167107},
	{12132, 17167363}, {12133, 17167619}, {12134, 17167875}, {12135, 17168131},
	{12136, 17168387}, {12137, 17168643}, {12138, 17168899}, {12139, 17169155},
	{12140, 17169411}, {12141, 17169667}, {12142, 17169923}, {12143, 17170179},
	{12144, 17170435}, {12145, 17170691}, {12146, 17170947}, {12147, 17171203},
	{12148, 17171459}, {12149, 17171715}, {12150, 17171971}, {12151, 17172227},
	{12152, 17172483}, {12153, 17172739}, {12154, 17172995}, {12155, 17173251},
	{12156, 17173507}, {12157, 17173763}, {12158, 17174019}, {12159, 17174275},
	{12160, 17174531}, {12161, 17174787}, {12162, 17175043}, {12163, 17175299},
	{12164, 17175555}, {12165, 17175811}, {12166, 17176067}, {12167, 17176323},
	{12168, 17176579}, {12169, 17176835}, {12170, 17177091}, {12171, 17177347},
	{12172, 17177603}, {12173, 17177859}, {12174, 17178115}, {12175, 17178371},
	{12176, 17178627}, {12177, 17178883}, {12178, 17179139}, {12179, 17179395},
	{12180, 17179651}, {12181, 17179907}, {12182, 17180163}, {12183, 17180419},
	{12184, 17180675}, {12185, 17180931}, {12186, 17181187}, {12187, 17181443},
	{12188, 17181699}, {12189, 17181955}, {12190, 17182211}, {12191, 17182467},
	{12192, 17182723}, {12193, 17182979}, {12194, 17183235}, {12195, 17183491},
	{12196, 17183747}, {12197, 17184003}, {12198, 17184259}, {12199, 17184515},
	{12200, 17184771}, {12201, 17185027}, {12202, 17185283}, {12203, 17185539},
	{12204, 17185795}, {12205, 17186051}, {12206, 17186307}, {12207, 17186563},
	{12208, 17186819}, {12209, 17187075}, {12210, 17187331}, {12211, 17187587},
	{12212, 17187843}, {12213, 17188099}, {12214, 17188355}, {12215, 17188611},
	{12216, 17188867}, {12217, 17189123}, {12218, 17189379}, {12219, 17189635},
	{12220, 17189891}, {12221, 17190147}, {12222, 17190403}, {12223, 17190659},
	{12224, 17190915}, {12225, 17191171}, {12226, 17191427}, {12227, 17191683},
	{12228, 17191939}, {12229, 17192195}, {12230, 17192451}, {12231, 17192707},
	{12232, 17192963}, {12233, 17193219}, {12234, 17193475}, {12235, 17193731},
	{12236, 17193987}, {12237, 17194243}, {12238, 17194499}, {12239, 17194755},
	{12240, 17195011}, {12241, 17195267}, {12242, 17195523}, {12243, 17195779},
	{12244, 17196035}, {12245, 17196291}, {12246, 2}, {12288, 16783875},
	{12289, 1}, {12290, 17196547}, {12291, 1}, {12342, 17196803},
	{12343, 1}, {12344, 17147651}, {12345, 17197059}, {12346, 17197315},
	{12347, 1}, {12352, 2}, {12353, 1}, {12439, 2},
	{12441, 1}, {12443, 33974787}, {12444, 33975299}, {12445, 1},
	{12447, 33975811}, {12448, 1}, {12543, 33976323}, {12544, 2},
	{12549, 1}, {12592, 2}, {12593, 17199619}, {12594, 17199875},
	{12595, 17200131}, {12596, 17200387}, {12597, 17200643}, {12598, 17200899},
	{12599, 17201155}, {12600, 17201411}, {12601, 17201667}, {12602, 17201923},
	{12603, 17202179}, {12604, 17202435}, {12605, 17202691}, {12606, 17202947},
	{12607, 17203203}, {12608, 17203459}, {12609, 17203715}, {12610, 17203971},
	{12611, 17204227}, {12612, 17204483}, {12613, 17204739}, {12614, 17204995},
	{12615, 17205251}, {12616, 17205507}, {12617, 17205763}, {12618, 17206019},
	{12619, 17206275}, {12620, 17206531}, {12621, 17206787}, {12622, 17207043},
	{12623, 17207299}, {12624, 17207555}, {12625, 17207811}, {12626, 17208067},
	{12627, 17208323}, {12628, 17208579}, {12629, 17208835}, {12630, 17209091},
	{12631, 17209347}, {12632, 17209603}, {12633, 17209859}, {12634, 17210115},
	{12635, 17210371}, {12636, 17210627}, {12637, 17210883}, {12638, 17211139},
	{12639, 17211395}, {12640, 17211651}, {12641, 17211907}, {12642, 17212163},
	{12643, 17212419}, {12644, 2}, {12645, 17212675}, {12646, 17212931},
	{12647, 17213187}, {12648, 17213443}, {12649, 17213699}, {12650, 17213955},
	{12651, 17214211}, {12652, 17214467}, {12653, 17214723}, {12654, 17214979},
	{12655, 17215235}, {12656, 17215491}, {12657, 17215747}, {12658, 17216003},
	{12659, 17216259}, {12660, 17216515}, {12661, 17216771}, {12662, 17217027},
	{12663, 17217283}, {12664, 17217539}, {12665, 17217795}, {12666, 17218051},
	{12667, 17218307}, {12668, 17218563}, {12669, 17218819}, {12670, 17219075},
	{12671, 17219331}, {12672, 17219587}, {12673, 17219843}, {12674, 17220099},
	{12675, 17220355}, {12676, 17220611}, {12677, 17220867}, {12678, 17221123},
	{12679, 17221379}, {12680, 17221635}, {12681, 17221891}, {12682, 17222147},
	{12683, 17222403}, {12684, 17222659}, {12685, 17222915}, {12686, 17223171},
	{12687, 2}, {12688, 1}, {12690, 17141763}, {12691, 17143299},
	{12692, 17223427}, {12693, 17223683}, {12694, 17223939}, {12695, 17224195},
	{12696, 17224451}, {12697, 17224707}, {12698, 17142787}, {12699, 17224963},
	{12700, 17225219}, {12701, 17225475}, {12702, 17225731}, {12703, 17143811},
	{12704, 1}, {12772, 2}, {12784, 1}, {12800, 50780419},
	{12801, 50781187}, {12802, 50781955}, {12803, 50782723}, {12804, 50783491},
	{12805, 50784259}, {12806, 50785027}, {12807, 50785795}, {12808, 50786563},
	{12809, 50787331}, {12810, 50788099}, {12811, 50788867}, {12812, 50789635},
	{12813, 50790403}, {12814, 50791171}, {12815, 50791939}, {12816, 50792707},
	{12817, 50793475}, {12818, 50794243}, {12819, 50795011}, {12820, 50795779},
	{12821, 50796547}, {12822, 50797315}, {12823, 50798083}, {12824, 50798851},
	{12825, 50799619}, {12826, 50800387}, {12827, 50801155}, {12828, 50801923},
	{12829, 67579907}, {12830, 67580931}, {12831, 2}, {12832, 50804739},
	{12833, 50805507}, {12834, 50806275}, {12835, 50807043}, {12836, 50807811},
	{12837, 50808579}, {12838, 50809347}, {12839, 50810115}, {12840, 50810883},
	{12841, 50811651}, {12842, 50812419}, {12843, 50813187}, {12844, 50813955},
	{12845, 50814723}, {12846, 50815491}, {12847, 50816259}, {12848, 50817027},
	{12849, 50817795}, {12850, 50818563}, {12851, 50819331}, {12852, 50820099},
	{12853, 50820867}, {12854, 50821635}, {12855, 50822403}, {12856, 50823171},
	{12857, 50823939}, {12858, 50824707}, {12859, 50825475}, {12860, 50826243},
	{12861, 50827011}, {12862, 50827779}, {12863, 50828547}, {12864, 50829315},
	{12865, 50830083}, {12866, 50830851}, {12867, 50831619}, {12868, 17277955},
	{12869, 17278211}, {12870, 17158659}, {12871, 17278467}, {12872, 1},
	{12880, 50833155}, {12881, 33845251}, {12882, 34056707}, {12883, 33562371},
	{12884, 34057219}, {12885, 34057731}, {12886, 34058243}, {12887, 34058755},
	{12888, 34059267}, {12889, 34059779}, {12890, 34060291}, {12891, 33827331},
	{12892, 33826563}, {12893, 34060803}, {12894, 34061315}, {12895, 34061827},
	{12896, 17199619}, {12897, 17200387}, {12898, 17201155}, {12899, 17201667},
	{12900, 17203715}, {12901, 17203971}, {12902, 17204739}, {12903, 17205251},
	{12904, 17205507}, {12905, 17206019}, {12906, 17206275}, {12907, 17206531},
	{12908, 17206787}, {12909, 17207043}, {12910, 17236995}, {12911, 17237763},
	{12912, 17238531}, {12913, 17239299}, {12914, 17240067}, {12915, 17240835},
	{12916, 17241603}, {12917, 17242371}, {12918, 17243139}, {12919, 17243907},
	{12920, 17244675}, {12921, 17245443}, {12922, 17246211}, {12923, 17246979},
	{12924, 34062339}, {12925, 34062851}, {12926, 17286147}, {12927, 1},
	{12928, 17141763}, {12929, 17143299}, {12930, 17223427}, {12931, 17223683},
	{12932, 17253635}, {12933, 17254403}, {12934, 17255171}, {12935, 17144579},
	{12936, 17256707}, {12937, 17147651}, {12938, 17160451}, {12939, 17163523},
	{12940, 17163267}, {12941, 17160707}, {12942, 17184259}, {12943, 17149699},
	{12944, 17159939}, {12945, 17263619}, {12946, 17264387}, {12947, 17265155},
	{12948, 17265923}, {12949, 17266691}, {12950, 17267459}, {12951, 17268227},
	{12952, 17268995}, {12953, 17286403}, {12954, 17286659}, {12955, 17151235},
	{12956, 17286915}, {12957, 17287171}, {12958, 17287427}, {12959, 17287683},
	{12960, 17287939}, {12961, 17275907}, {12962, 17288195}, {12963, 17288451},
	{12964, 17223939}, {12965, 17224195}, {12966, 17224451}, {12967, 17288707},
	{12968, 17288963}, {12969, 17289219}, {12970, 17289475}, {12971, 17271299},
	{12972, 17272067}, {12973, 17272835}, {12974, 17273603}, {12975, 17274371},
	{12976, 17289731}, {12977, 34067203}, {12978, 34067715}, {12979, 34068227},
	{12980, 34068739}, {12981, 34069251}, {12982, 33564931}, {12983, 34057475},
	{12984, 34061571}, {12985, 34069763}, {12986, 34070275}, {12987, 34070787},
	{12988, 34071299}, {12989, 34071811}, {12990, 34072323}, {12991, 34072835},
	{12992, 34073347}, {12993, 34073859}, {12994, 34074371}, {12995, 34074883},
	{12996, 34075395}, {12997, 34075907}, {12998, 34076419}, {12999, 34076931},
	{13000, 34077443}, {13001, 50855171}, {13002, 50855939}, {13003, 50856707},
	{13004, 34080259}, {13005, 50857987}, {13006, 34081539}, {13007, 50859267},
	{13008, 17305603}, {13009, 17305859}, {13010, 17306115}, {13011, 17306371},
	{13012, 17306627}, {13013, 17306883}, {13014, 17307139}, {13015, 17307395},
	{13016, 17307651}, {13017, 17199107}, {13018, 17307907}, {13019, 17308163},
	{13020, 17308419}, {13021, 17308675}, {13022, 17308931}, {13023, 17309187},
	{13024, 17309443}, {13025, 17309699}, {13026, 17309955}, {13027, 17199363},
	{13028, 17310211}, {13029, 17310467}, {13030, 17310723}, {13031, 17310979},
	{13032, 17311235}, {13033, 17311491}, {13034, 17311747}, {13035, 17312003},
	{13036, 17312259}, {13037, 17312515}, {13038, 17312771}, {13039, 17313027},
	{13040, 17313283}, {13041, 17313539}, {13042, 17313795}, {13043, 17314051},
	{13044, 17314307}, {13045, 17314563}, {13046, 17314819}, {13047, 17315075},
	{13048, 17315331}, {13049, 17315587}, {13050, 17315843}, {13051, 17316099},
	{13052, 17316355}, {13053, 17316611}, {13054, 17316867}, {13055, 34094339},
	{13056, 67649283}, {13057, 67650307}, {13058, 67651331}, {13059, 50875139},
	{13060, 67653123}, {13061, 50876931}, {13062, 50877699}, {13063, 84432899},
	{13064, 67656963}, {13065, 50880771}, {13066, 50881539}, {13067, 50882307},
	{13068, 67660291}, {13069, 67661315}, {13070, 50885123}, {13071, 50885891},
	{13072, 34109443}, {13073, 50887171}, {13074, 67665155}, {13075, 67666179},
	{13076, 34112771}, {13077, 84444931}, {13078, 101223427}, {13079, 84447747},
	{13080, 50891011}, {13081, 84449027}, {13082, 84450307}, {13083, 67674371},
	{13084, 50898179}, {13085, 50898947}, {13086, 50899715}, {13087, 67677699},
	{13088, 84455939}, {13089, 67680003}, {13090, 50903811}, {13091, 50904579},
	{13092, 50905347}, {13093, 34128899}, {13094, 34129411}, {13095, 34118147},
	{13096, 34129923}, {13097, 50907651}, {13098, 50908419}, {13099, 84463619},
	{13100, 50910467}, {13101, 67688451}, {13102, 84466691}, {13103, 50913539},
	{13104, 34137091}, {13105, 34137603}, {13106, 84469763}, {13107, 67693827},
	{13108, 84472067}, {13109, 50918915}, {13110, 84474115}, {13111, 34143747},
	{13112, 50921475}, {13113, 50922243}, {13114, 50923011}, {13115, 50923779},
	{13116, 50924547}, {13117, 67702531}, {13118, 50926339}, {13119, 34149891},
	{13120, 50927619}, {13121, 50928387}, {13122, 50929155}, {13123, 67707139},
	{13124, 50930947}, {13125, 50931715}, {13126, 50932483}, {13127, 84487683},
	{13128, 67711747}, {13129, 34158339}, {13130, 84490499}, {13131, 34160131},
	{13132, 67715075}, {13133, 67669507}, {13134, 50938883}, {13135, 50939651},
	{13136, 50940419}, {13137, 67718403}, {13138, 34164995}, {13139, 50942723},
	{13140, 67720707}, {13141, 34167299}, {13142, 84499459}, {13143, 50893827},
	{13144, 34169091}, {13145, 34169603}, {13146, 34170115}, {13147, 34170627},
	{13148, 34171139}, {13149, 34171651}, {13150, 34172163}, {13151, 34172675},
	{13152, 34173187}, {13153, 34173699}, {13154, 50951427}, {13155, 50952195},
	{13156, 50952963}, {13157, 50953731}, {13158, 50954499}, {13159, 50955267},
	{13160, 50956035}, {13161, 50956803}, {13162, 50957571}, {13163, 50958339},
	{13164, 50959107}, {13165, 50959875}, {13166, 50960643}, {13167, 50961411},
	{13168, 50962179}, {13169, 50962947}, {13170, 34186499}, {13171, 34187011},
	{13172, 50964739}, {13173, 34188291}, {13174, 34188803}, {13175, 34189315},
	{13176, 50967043}, {13177, 50967811}, {13178, 34191363}, {13179, 34191875},
	{13180, 34192387}, {13181, 34192899}, {13182, 34193411}, {13183, 67748355},
	{13184, 34185987}, {13185, 34194947}, {13186, 34195459}, {13187, 34195971},
	{13188, 34196483}, {13189, 34196995}, {13190, 34197507}, {13191, 34198019},
	{13192, 50975747}, {13193, 67753731}, {13194, 34200323}, {13195, 34200835},
	{13196, 34201347}, {13197, 34201859}, {13198, 34202371}, {13199, 34202883},
	{13200, 34203395}, {13201, 50981123}, {13202, 50981891}, {13203, 50980355},
	{13204, 50982659}, {13205, 34206211}, {13206, 34206723}, {13207, 34207235},
	{13208, 33556995}, {13209, 34207747}, {13210, 34208259}, {13211, 34208771},
	{13212, 34209283}, {13213, 34209795}, {13214, 34210307}, {13215, 50988035},
	{13216, 50988803}, {13217, 34190083}, {13218, 50989571}, {13219, 50990339},
	{13220, 50991107}, {13221, 34190851}, {13222, 50991875}, {13223, 50992643},
	{13224, 67770627}, {13225, 34185987}, {13226, 50994435}, {13227, 50995203},
	{13228, 50995971}, {13229, 50996739}, {13230, 84551939}, {13231, 101330435},
	{13232, 34223107}, {13233, 34223619}, {13234, 34224131}, {13235, 34224643},
	{13236, 34225155}, {13237, 34225667}, {13238, 34226179}, {13239, 34226691},
	{13240, 34227203}, {13241, 34226691}, {13242, 34227715}, {13243, 34228227},
	{13244, 34228739}, {13245, 34229251}, {13246, 34229763}, {13247, 34229251},
	{13248, 34230275}, {13249, 34230787}, {13250, 2}, {13251, 34231299},
	{13252, 33817347}, {13253, 33554947}, {13254, 67786243}, {13255, 2},
	{13256, 34232835}, {13257, 34233347}, {13258, 34233859}, {13259, 34185731},
	{13260, 34234371}, {13261, 34234883}, {13262, 34210307}, {13263, 34235395},
	{13264, 33557251}, {13265, 34235907}, {13266, 51013635}, {13267, 34237187},
	{13268, 34197507}, {13269, 51014915}, {13270, 51015683}, {13271, 34239235},
	{13272, 2}, {13273, 51016963}, {13274, 34240515}, {13275, 34221315},
	{13276, 34241027}, {13277, 34241539}, {13278, 51019267}, {13279, 51020035},
	{13280, 34243587}, {13281, 34244099}, {13282, 34244611}, {13283, 34245123},
	{13284, 34245635}, {13285, 34246147}, {13286, 34246659}, {13287, 34247171},
	{13288, 34247683}, {13289, 51025411}, {13290, 51026179}, {13291, 51026947},
	{13292, 51027715}, {13293, 51028483}, {13294, 51029251}, {13295, 51030019},
	{13296, 51030787}, {13297, 51031555}, {13298, 51032323}, {13299, 51033091},
	{13300, 51033859}, {13301, 51034627}, {13302, 51035395}, {13303, 51036163},
	{13304, 51036931}, {13305, 51037699}, {13306, 51038467}, {13307, 51039235},
	{13308, 51040003}, {13309, 51040771}, {13310, 51041539}, {13311, 51042307},
	{13312, 1}, {42125, 2}, {42128, 1}, {42183, 2},
	{42192, 1}, {42540, 2}, {42560, 17488643}, {42561, 1},
	{42562, 17488899}, {42563, 1}, {42564, 17489155}, {42565, 1},
	{42566, 17489411}, {42567, 1}, {42568, 17489667}, {42569, 1},
	{42570, 16936451}, {42571, 1}, {42572, 17489923}, {42573, 1},
	{42574, 17490179}, {42575, 1}, {42576, 17490435}, {42577, 1},
	{42578, 17490691}, {42579, 1}, {42580, 17490947}, {42581, 1},
	{42582, 17491203}, {42583, 1}, {42584, 17491459}, {42585, 1},
	{42586, 17491715}, {42587, 1}, {42588, 17491971}, {42589, 1},
	{42590, 17492227}, {42591, 1}, {42592, 17492483}, {42593, 1},
	{42594, 17492739}, {42595, 1}, {42596, 17492995}, {42597, 1},
	{42598, 17493251}, {42599, 1}, {42600, 17493507}, {42601, 1},
	{42602, 17493763}, {42603, 1}, {42604, 17494019}, {42605, 1},
	{42624, 17494275}, {42625, 1}, {42626, 17494531}, {42627, 1},
	{42628, 17494787}, {42629, 1}, {42630, 17495043}, {42631, 1},
	{42632, 17495299}, {42633, 1}, {42634, 17495555}, {42635, 1},
	{42636, 17495811}, {42637, 1}, {42638, 17496067}, {42639, 1},
	{42640, 17496323}, {42641, 1}, {42642, 17496579}, {42643, 1},
	{42644, 17496835}, {42645, 1}, {42646, 17497091}, {42647, 1},
	{42648, 17497347}, {42649, 1}, {42650, 17497603}, {42651, 1},
	{42652, 16873219}, {42653, 16873731}, {42654, 1}, {42744, 2},
	{42752, 1}, {42786, 17497859}, {42787, 1}, {42788, 17498115},
	{42789, 1}, {42790, 17498371}, {42791, 1}, {42792, 17498627},
	{42793, 1}, {42794, 17498883}, {42795, 1}, {42796, 17499139},
	{42797, 1}, {42798, 17499395}, {42799, 1}, {42802, 17499651},
	{42803, 1}, {42804, 17499907}, {42805, 1}, {42806, 17500163},
	{42807, 1}, {42808, 17500419}, {42809, 1}, {42810, 17500675},
	{42811, 1}, {42812, 17500931}, {42813, 1}, {42814, 17501187},
	{42815, 1}, {42816, 17501443}, {42817, 1}, {42818, 17501699},
	{42819, 1}, {42820, 17501955}, {42821, 1}, {42822, 17502211},
	{42823, 1}, {42824, 17502467}, {42825, 1}, {42826, 17502723},
	{42827, 1}, {42828, 17502979}, {42829, 1}, {42830, 17503235},
	{42831, 1}, {42832, 17503491}, {42833, 1}, {42834, 17503747},
	{42835, 1}, {42836, 17504003}, {42837, 1}, {42838, 17504259},
	{42839, 1}, {42840, 17504515}, {42841, 1}, {42842, 17504771},
	{42843, 1}, {42844, 17505027}, {42845, 1}, {42846, 17505283},
	{42847, 1}, {42848, 17505539}, {42849, 1}, {42850, 17505795},
	{42851, 1}, {42852, 17506051}, {42853, 1}, {42854, 17506307},
	{42855, 1}, {42856, 17506563}, {42857, 1}, {42858, 17506819},
	{42859, 1}, {42860, 17507075}, {42861, 1}, {42862, 17507331},
	{42863, 1}, {42864, 17507331}, {42865, 1}, {42873, 17507587},
	{42874, 1}, {42875, 17507843}, {42876, 1}, {42877, 17508099},
	{42878, 17508355}, {42879, 1}, {42880, 17508611}, {42881, 1},
	{42882, 17508867}, {42883, 1}, {42884, 17509123}, {42885, 1},
	{42886, 17509379}, {42887, 1}, {42891, 17509635}, {42892, 1},
	{42893, 16951299}, {42894, 1}, {42896, 17509891}, {42897, 1},
	{42898, 17510147}, {42899, 1}, {42902, 17510403}, {42903, 1},
	{42904, 17510659}, {42905, 1}, {42906, 17510915}, {42907, 1},
	{42908, 17511171}, {42909, 1}, {42910, 17511427}, {42911, 1},
	{42912, 17511683}, {42913, 1}, {42914, 17511939}, {42915, 1},
	{42916, 17512195}, {42917, 1}, {42918, 17512451}, {42919, 1},
	{42920, 17512707}, {42921, 1}, {42922, 16841475}, {42923, 16948995},
	{42924, 16951043}, {42925, 17512963}, {42926, 16951555}, {42927, 1},
	{42928, 17513219}, {42929, 17513475}, {42930, 16952067}, {42931, 17513731},
	{42932, 17513987}, {42933, 1}, {42934, 17514243}, {42935, 1},
	{42936, 17514499}, {42937, 1}, {42938, 17514755}, {42939, 1},
	{42940, 17515011}, {42941, 1}, {42942, 17515267}, {42943, 1},
	{42944, 17515523}, {42945, 1}, {42946, 17515779}, {42947, 1},
	{42948, 17516035}, {42949, 16954371}, {42950, 17516291}, {42951, 17516547},
	{42952, 1}, {42953, 17516803}, {42954, 1}, {42955, 2},
	{42960, 17517059}, {42961, 1}, {42962, 2}, {42963, 1},
	{42964, 2}, {42965, 1}, {42966, 17517315}, {42967, 1},
	{42968, 17517571}, {42969, 1}, {42970, 2}, {42994, 16777731},
	{42995, 16778499}, {42996, 16781315}, {42997, 17517827}, {42998, 1},
	{43000, 16802051}, {43001, 16808195}, {43002, 1}, {43053, 2},
	{43056, 1}, {43066, 2}, {43072, 1}, {43128, 2},
	{43136, 1}, {43206, 2}, {43214, 1}, {43226, 2},
	{43232, 1}, {43348, 2}, {43359, 1}, {43389, 2},
	{43392, 1}, {43470, 2}, {43471, 1}, {43482, 2},
	{43486, 1}, {43519, 2}, {43520, 1}, {43575, 2},
	{43584, 1}, {43598, 2}, {43600, 1}, {43610, 2},
	{43612, 1}, {43715, 2}, {43739, 1}, {43767, 2},
	{43777, 1}, {43783, 2}, {43785, 1}, {43791, 2},
	{43793, 1}, {43799, 2}, {43808, 1}, {43815, 2},
	{43816, 1}, {43823, 2}, {43824, 1}, {43868, 17498371},
	{43869, 17518083}, {43870, 17124867}, {43871, 17518339}, {43872, 1},
	{43881, 17518595}, {43882, 1}, {43884, 2}, {43888, 17518851},
	{43889, 17519107}, {43890, 17519363}, {43891, 17519619}, {43892, 17519875},
	{43893, 17520131}, {43894, 17520387}, {43895, 17520643}, {43896, 17520899},
	{43897, 17521155}, {43898, 17521411}, {43899, 17521667}, {43900, 17521923},
	{43901, 17522179}, {43902, 17522435}, {43903, 17522691}, {43904, 17522947},
	{43905, 17523203}, {43906, 17523459}, {43907, 17523715}, {43908, 17523971},
	{43909, 17524227}, {43910, 17524483}, {43911, 17524739}, {43912, 17524995},
	{43913, 17525251}, {43914, 17525507}, {43915, 17525763}, {43916, 17526019},
	{43917, 17526275}, {43918, 17526531}, {43919, 17526787}, {43920, 17527043},
	{43921, 17527299}, {43922, 17527555}, {43923, 17527811}, {43924, 17528067},
	{43925, 17528323}, {43926, 17528579}, {43927, 17528835}, {43928, 17529091},
	{43929, 17529347}, {43930, 17529603}, {43931, 17529859}, {43932, 17530115},
	{43933, 17530371}, {43934, 17530627}, {43935, 17530883}, {43936, 17531139},
	{43937, 17531395}, {43938, 17531651}, {43939, 17531907}, {43940, 17532163},
	{43941, 17532419}, {43942, 17532675}, {43943, 17532931}, {43944, 17533187},
	{43945, 17533443}, {43946, 17533699}, {43947, 17533955}, {43948, 17534211},
	{43949, 17534467}, {43950, 17534723}, {43951, 17534979}, {43952, 17535235},
	{43953, 17535491}, {43954, 17535747}, {43955, 17536003}, {43956, 17536259},
	{43957, 17536515}, {43958, 17536771}, {43959, 17537027}, {43960, 17537283},
	{43961, 17537539}, {43962, 17537795}, {43963, 17538051}, {43964, 17538307},
	{43965, 17538563}, {43966, 17538819}, {43967, 17539075}, {43968, 1},
	{44014, 2}, {44016, 1}, {44026, 2}, {44032, 1},
	{55204, 2}, {55216, 1}, {55239, 2}, {55243, 1},
	{55292, 2}, {63744, 17539331}, {63745, 17539587}, {63746, 17182211},
	{63747, 17539843}, {63748, 17540099}, {63749, 17540355}, {63750, 17540611},
	{63751, 17196035}, {63753, 17540867}, {63754, 17184259}, {63755, 17541123},
	{63756, 17541379}, {63757, 17541635}, {63758, 17541891}, {63759, 17542147},
	{63760, 17542403}, {63761, 17542659}, {63762, 17542915}, {63763, 17543171},
	{63764, 17543427}, {63765, 17543683}, {63766, 17543939}, {63767, 17544195},
	{63768, 17544451}, {63769, 17544707}, {63770, 17544963}, {63771, 17545219},
	{63772, 17545475}, {63773, 17545731}, {63774, 17545987}, {63775, 17546243},
	{63776, 17546499}, {63777, 17546755}, {63778, 17547011}, {63779, 17547267},
	{63780, 17547523}, {63781, 17547779}, {63782, 17548035}, {63783, 17548291},
	{63784, 17548547}, {63785, 17548803}, {63786, 17549059}, {63787, 17549315},
	{63788, 17549571}, {63789, 17549827}, {63790, 17550083}, {63791, 17550339},
	{63792, 17550595}, {63793, 17550851}, {63794, 17551107}, {63795, 17551363},
	{63796, 17173507}, {63797, 17551619}, {63798, 17551875}, {63799, 17552131},
	{63800, 17552387}, {63801, 17552643}, {63802, 17552899}, {63803, 17553155},
	{63804, 17553411}, {63805, 17553667}, {63806, 17553923}, {63807, 17554179},
	{63808, 17192195}, {63809, 17554435}, {63810, 17554691}, {63811, 17554947},
	{63812, 17555203}, {63813, 17555459}, {63814, 17555715}, {63815, 17555971},
	{63816, 17556227}, {63817, 17556483}, {63818, 17556739}, {63819, 17556995},
	{63820, 17557251}, {63821, 17557507}, {63822, 17557763}, {63823, 17558019},
	{63824, 17558275}, {63825, 17558531}, {63826, 17558787}, {63827, 17559043},
	{63828, 17559299}, {63829, 17559555}, {63830, 17559811}, {63831, 17560067},
	{63832, 17560323}, {63833, 17560579}, {63834, 17560835}, {63835, 17561091},
	{63836, 17543427}, {63837, 17561347}, {63838, 17561603}, {63839, 17561859},
	{63840, 17562115}, {63841, 17562371}, {63842, 17562627}, {63843, 17562883},
	{63844, 17563139}, {63845, 17563395}, {63846, 17563651}, {63847, 17563907},
	{63848, 17564163}, {63849, 17564419}, {63850, 17564675}, {63851, 17564931},
	{63852, 17565187}, {63853, 17565443}, {63854, 17565699}, {63855, 17565955},
	{63856, 17566211}, {63857, 17182723}, {63858, 17566467}, {63859, 17566723},
	{63860, 17566979}, {63861, 17567235}, {63862, 17567491}, {63863, 17567747},
	{63864, 17568003}, {63865, 17568259}, {63866, 17568515}, {63867, 17568771},
	{63868, 17569027}, {63869, 17569283}, {63870, 17569539}, {63871, 17569795},
	{63872, 17570051}, {63873, 17151235}, {63874, 17570307}, {63875, 17570563},
	{63876, 17570819}, {63877, 17571075}, {63878, 17571331}, {63879, 17571587},
	{63880, 17571843}, {63881, 17572099}, {63882, 17146371}, {63883, 17572355},
	{63884, 17572611}, {63885, 17572867}, {63886, 17573123}, {63887, 17573379},
	{63888, 17573635}, {63889, 17573891}, {63890, 17574147}, {63891, 17574403},
	{63892, 17574659}, {63893, 17574915}, {63894, 17575171}, {63895, 17575427},
	{63896, 17575683}, {63897, 17575939}, {63898, 17576195}, {63899, 17576451},
	{63900, 17576707}, {63901, 17576963}, {63902, 17577219}, {63903, 17577475},
	{63904, 17577731}, {63905, 17565955}, {63906, 17577987}, {63907, 17578243},
	{63908, 17578499}, {63909, 17578755}, {63910, 17579011}, {63911, 17579267},
	{63912, 17317123}, {63913, 17579523}, {63914, 17561859}, {63915, 17579779},
	{63916, 17580035}, {63917, 17580291}, {63918, 17580547}, {63919, 17580803},
	{63920, 17581059}, {63921, 17581315}, {63922, 17581571}, {63923, 17581827},
	{63924, 17582083}, {63925, 17582339}, {63926, 17582595}, {63927, 17582851},
	{63928, 17583107}, {63929, 17583363}, {63930, 17583619}, {63931, 17583875},
	{63932, 17584131}, {63933, 17584387}, {63934, 17584643}, {63935, 17543427},
	{63936, 17584899}, {63937, 17585155}, {63938, 17585411}, {63939, 17585667},
	{63940, 17195779}, {63941, 17585923}, {63942, 17586179}, {63943, 17586435},
	{63944, 17586691}, {63945, 17586947}, {63946, 17587203}, {63947, 17587459},
	{63948, 17587715}, {63949, 17587971}, {63950, 17588227}, {63951, 17588483},
	{63952, 17588739}, {63953, 17254403}, {63954, 17588995}, {63955, 17589251},
	{63956, 17589507}, {63957, 17589763}, {63958, 17590019}, {63959, 17590275},
	{63960, 17590531}, {63961, 17590787}, {63962, 17591043}, {63963, 17562371},
	{63964, 17591299}, {63965, 17591555}, {63966, 17591811}, {63967, 17592067},
	{63968, 17592323}, {63969, 17592579}, {63970, 17592835}, {63971, 17593091},
	{63972, 17593347}, {63973, 17593603}, {63974, 17593859}, {63975, 17594115},
	{63976, 17594371}, {63977, 17184003}, {63978, 17594627}, {63979, 17594883},
	{63980, 17595139}, {63981, 17595395}, {63982, 17595651}, {63983, 17595907},
	{63984, 17596163}, {63985, 17596419}, {63986, 17596675}, {63987, 17596931},
	{63988, 17597187}, {63989, 17597443}, {63990, 17597699}, {63991, 17171459},
	{63992, 17597955}, {63993, 17598211}, {63994, 17598467}, {63995, 17598723},
	{63996, 17598979}, {63997, 17599235}, {63998, 17599491}, {63999, 17599747},
	{64000, 17600003}, {64001, 17600259}, {64002, 17600515}, {64003, 17600771},
	{64004, 17601027}, {64005, 17601283}, {64006, 17601539}, {64007, 17601795},
	{64008, 17178371}, {64009, 17602051}, {64010, 17179139}, {64011, 17602307},
	{64012, 17602563}, {64013, 17602819}, {64014, 1}, {64016, 17603075},
	{64017, 1}, {64018, 17603331}, {64019, 1}, {64021, 17603587},
	{64022, 17603843}, {64023, 17604099}, {64024, 17604355}, {64025, 17604611},
	{64026, 17604867}, {64027, 17605123}, {64028, 17605379}, {64029, 17605635},
	{64030, 17173251}, {64031, 1}, {64032, 17605891}, {64033, 1},
	{64034, 17606147}, {64035, 1}, {64037, 17606403}, {64038, 17606659},
	{64039, 1}, {64042, 17606915}, {64043, 17607171}, {64044, 17607427},
	{64045, 17607683}, {64046, 17607939}, {64047, 17608195}, {64048, 17608451},
	{64049, 17608707}, {64050, 17608963}, {64051, 17609219}, {64052, 17609475},
	{64053, 17609731}, {64054, 17609987}, {64055, 17610243}, {64056, 17610499},
	{64057, 17610755}, {64058, 17611011}, {64059, 17611267}, {64060, 17153027},
	{64061, 17611523}, {64062, 17611779}, {64063, 17612035}, {64064, 17612291},
	{64065, 17612547}, {64066, 17612803}, {64067, 17613059}, {64068, 17613315},
	{64069, 17613571}, {64070, 17613827}, {64071, 17614083}, {64072, 17614339},
	{64073, 17614595}, {64074, 17614851}, {64075, 17615107}, {64076, 17265155},
	{64077, 17615363}, {64078, 17615619}, {64079, 17615875}, {64080, 17616131},
	{64081, 17268227}, {64082, 17616387}, {64083, 17616643}, {64084, 17616899},
	{64085, 17617155}, {64086, 17617411}, {64087, 17575171}, {64088, 17617667},
	{64089, 17617923}, {64090, 17618179}, {64091, 17618435}, {64092, 17618691},
	{64093, 17618947}, {64095, 17619203}, {64096, 17619459}, {64097, 17619715},
	{64098, 17619971}, {64099, 17620227}, {64100, 17620483}, {64101, 17620739},
	{64102, 17620995}, {64103, 17606403}, {64104, 17621251}, {64105, 17621507},
	{64106, 17621763}, {64107, 17622019}, {64108, 17622275}, {64109, 17622531},
	{64110, 2}, {64112, 17622787}, {64113, 17623043}, {64114, 17623299},
	{64115, 17623555}, {64116, 17623811}, {64117, 17624067}, {64118, 17624323},
	{64119, 17624579}, {64120, 17609987}, {64121, 17624835}, {64122, 17625091},
	{64123, 17625347}, {64124, 17603075}, {64125, 17625603}, {64126, 17625859},
	{64127, 17626115}, {64128, 17626371}, {64129, 17626627}, {64130, 17626883},
	{64131, 17627139}, {64132, 17627395}, {64133, 17627651}, {64134, 17627907},
	{64135, 17628163}, {64136, 17628419}, {64137, 17612035}, {64138, 17628675},
	{64139, 17612291}, {64140, 17628931}, {64141, 17629187}, {64142, 17629443},
	{64143, 17629699}, {64144, 17629955}, {64145, 17603331}, {64146, 17548803},
	{64147, 17630211}, {64148, 17630467}, {64149, 17161475}, {64150, 17566211},
	{64151, 17587203}, {64152, 17630723}, {64153, 17630979}, {64154, 17614083},
	{64155, 17631235}, {64156, 17614339}, {64157, 17631491}, {64158, 17631747},
	{64159, 17632003}, {64160, 17603843}, {64161, 17632259}, {64162, 17632515},
	{64163, 17632771}, {64164, 17633027}, {64165, 17633283}, {64166, 17604099},
	{64167, 17633539}, {64168, 17633795}, {64169, 17634051}, {64170, 17634307},
	{64171, 17634563}, {64172, 17634819}, {64173, 17617411}, {64174, 17635075},
	{64175, 17635331}, {64176, 17575171}, {64177, 17635587}, {64178, 17618435},
	{64179, 17635843}, {64180, 17636099}, {64181, 17636355}, {64182, 17636611},
	{64183, 17636867}, {64184, 17619715}, {64185, 17637123}, {64186, 17606147},
	{64187, 17637379}, {64188, 17619971}, {64189, 17561347}, {64190, 17637635},
	{64191, 17620227}, {64192, 17637891}, {64193, 17620739}, {64194, 17638147},
	{64195, 17638403}, {64196, 17638659}, {64197, 17638915}, {64198, 17639171},
	{64199, 17621251}, {64200, 17605379}, {64201, 17639427}, {64202, 17621507},
	{64203, 17639683}, {64204, 17621763}, {64205, 17639939}, {64206, 17196035},
	{64207, 17640195}, {64208, 17640451}, {64209, 17640707}, {64210, 17640963},
	{64211, 17641219}, {64212, 17641475}, {64213, 17641731}, {64214, 17641987},
	{64215, 17642243}, {64216, 17642499}, {64217, 17642755}, {64218, 2},
	{64256, 34420227}, {64257, 34420739}, {64258, 34421251}, {64259, 51197699},
	{64260, 51198979}, {64261, 33559043}, {64263, 2}, {64275, 34422531},
	{64276, 34423043}, {64277, 34423555}, {64278, 34424067}, {64279, 34424579},
	{64280, 2}, {64285, 34425091}, {64286, 1}, {64287, 34425603},
	{64288, 17648899}, {64289, 17044227}, {64290, 17044995}, {64291, 17649155},
	{64292, 17649411}, {64293, 17649667}, {64294, 17649923}, {64295, 17650179},
	{64296, 17650435}, {64297, 17037059}, {64298, 34427907}, {64299, 34428419},
	{64300, 51206147}, {64301, 51206915}, {64302, 34430467}, {64303, 34430979},
	{64304, 34431491}, {64305, 34432003}, {64306, 34432515}, {64307, 34433027},
	{64308, 34433539}, {64309, 34434051}, {64310, 34434563}, {64311, 2},
	{64312, 34435075}, {64313, 34435587}, {64314, 34436099}, {64315, 34436611},
	{64316, 34437123}, {64317, 2}, {64318, 34437635}, {64319, 2},
	{64320, 34438147}, {64321, 34438659}, {64322, 2}, {64323, 34439171},
	{64324, 34439683}, {64325, 2}, {64326, 34440195}, {64327, 34440707},
	{64328, 34441219}, {64329, 34428931}, {64330, 34441731}, {64331, 34442243},
	{64332, 34442755}, {64333, 34443267}, {64334, 34443779}, {64335, 34444291},
	{64336, 17667587}, {64338, 17667843}, {64342, 17668099}, {64346, 17668355},
	{64350, 17668611}, {64354, 17668867}, {64358, 17669123}, {64362, 17669379},
	{64366, 17669635}, {64370, 17669891}, {64374, 17670147}, {64378, 17670403},
	{64382, 17670659}, {64386, 17670915}, {64388, 17671171}, {64390, 17671427},
	{64392, 17671683}, {64394, 17671939}, {64396, 17672195}, {64398, 17672451},
	{64402, 17672707}, {64406, 17672963}, {64410, 17673219}, {64414, 17673475},
	{64416, 17673731}, {64420, 17673987}, {64422, 17674243}, {64426, 17674499},
	{64430, 17674755}, {64432, 17675011}, {64434, 1}, {64451, 2},
	{64467, 17675267}, {64471, 16911363}, {64473, 17675523}, {64475, 17675779},
	{64477, 33688579}, {64478, 17676035}, {64480, 17676291}, {64482, 17676547},
	{64484, 17676803}, {64488, 17677059}, {64490, 34454531}, {64492, 34455043},
	{64494, 34455555}, {64496, 34456067}, {64498, 34456579}, {64500, 34457091},
	{64502, 34457603}, {64505, 34458115}, {64508, 17681411}, {64512, 34458883},
	{64513, 34459395}, {64514, 34459907}, {64515, 34458115}, {64516, 34460419},
	{64517, 34460931}, {64518, 34461443}, {64519, 34461955}, {64520, 34462467},
	{64521, 34462979}, {64522, 34463491}, {64523, 34464003}, {64524, 34464515},
	{64525, 34465027}, {64526, 34465539}, {64527, 34466051}, {64528, 34466563},
	{64529, 34467075}, {64530, 34467587}, {64531, 34468099}, {64532, 34468611},
	{64533, 34469123}, {64534, 34469635}, {64535, 34469379}, {64536, 34470147},
	{64537, 34470659}, {64538, 34471171}, {64539, 34471683}, {64540, 34472195},
	{64541, 34472707}, {64542, 34473219}, {64543, 34473731}, {64544, 34474243},
	{64545, 34474755}, {64546, 34475267}, {64547, 34475779}, {64548, 34476291},
	{64549, 34476803}, {64550, 34477315}, {64551, 34477827}, {64552, 34478339},
	{64553, 34478851}, {64554, 34479363}, {64555, 34479875}, {64556, 34480387},
	{64557, 34480899}, {64558, 34481411}, {64559, 34481923}, {64560, 34482435},
	{64561, 34482947}, {64562, 34483459}, {64563, 34483971}, {64564, 34484483},
	{64565, 34484995}, {64566, 34485507}, {64567, 34486019}, {64568, 34486531},
	{64569, 34487043}, {64570, 34487555}, {64571, 34488067}, {64572, 34488579},
	{64573, 34489091}, {64574, 34489603}, {64575, 34490115}, {64576, 34490627},
	{64577, 34491139}, {64578, 34491651}, {64579, 34492163}, {64580, 34492675},
	{64581, 34493187}, {64582, 34469891}, {64583, 34470403}, {64584, 34493699},
	{64585, 34494211}, {64586, 34494723}, {64587, 34495235}, {64588, 34495747},
	{64589, 34496259}, {64590, 34496771}, {64591, 34497283}, {64592, 34497795},
	{64593, 34498307}, {64594, 34498819}, {64595, 34499331}, {64596, 34499843},
	{64597, 34468867}, {64598, 34500355}, {64599, 34500867}, {64600, 34492931},
	{64601, 34501379}, {64602, 34500099}, {64603, 34501891}, {64604, 34502403},
	{64605, 34502915}, {64606, 51280643}, {64607, 51281411}, {64608, 51282179},
	{64609, 51282947}, {64610, 51283715}, {64611, 51284483}, {64612, 34508035},
	{64613, 34508547}, {64614, 34459907}, {64615, 34509059}, {64616, 34458115},
	{64617, 34460419}, {64618, 34509571}, {64619, 34510083}, {64620, 34462467},
	{64621, 34510595}, {64622, 34462979}, {64623, 34463491}, {64624, 34511107},
	{64625, 34511619}, {64626, 34465539}, {64627, 34512131}, {64628, 34466051},
	{64629, 34466563}, {64630, 34512643}, {64631, 34513155}, {64632, 34467587},
	{64633, 34513667}, {64634, 34468099}, {64635, 34468611}, {64636, 34482947},
	{64637, 34483459}, {64638, 34484995}, {64639, 34485507}, {64640, 34486019},
	{64641, 34488067}, {64642, 34488579}, {64643, 34489091}, {64644, 34489603},
	{64645, 34491651}, {64646, 34492163}, {64647, 34492675}, {64648, 34514179},
	{64649, 34493699}, {64650, 34514691}, {64651, 34515203}, {64652, 34496771},
	{64653, 34515715}, {64654, 34497283}, {64655, 34497795}, {64656, 34502915},
	{64657, 34516227}, {64658, 34516739}, {64659, 34492931}, {64660, 34494979},
	{64661, 34501379}, {64662, 34500099}, {64663, 34458883}, {64664, 34459395},
	{64665, 34517251}, {64666, 34459907}, {64667, 34517763}, {64668, 34460931},
	{64669, 34461443}, {64670, 34461955}, {64671, 34462467}, {64672, 34518275},
	{64673, 34464003}, {64674, 34464515}, {64675, 34465027}, {64676, 34465539},
	{64677, 34518787}, {64678, 34467587}, {64679, 34469123}, {64680, 34469635},
	{64681, 34469379}, {64682, 34470147}, {64683, 34470659}, {64684, 34471683},
	{64685, 34472195}, {64686, 34472707}, {64687, 34473219}, {64688, 34473731},
	{64689, 34474243}, {64690, 34519299}, {64691, 34474755}, {64692, 34475267},
	{64693, 34475779}, {64694, 34476291}, {64695, 34476803}, {64696, 34477315},
	{64697, 34478339}, {64698, 34478851}, {64699, 34479363}, {64700, 34479875},
	{64701, 34480387}, {64702, 34480899}, {64703, 34481411}, {64704, 34481923},
	{64705, 34482435}, {64706, 34483971}, {64707, 34484483}, {64708, 34486531},
	{64709, 34487043}, {64710, 34487555}, {64711, 34488067}, {64712, 34488579},
	{64713, 34490115}, {64714, 34490627}, {64715, 34491139}, {64716, 34491651},
	{64717, 34519811}, {64718, 34493187}, {64719, 34469891}, {64720, 34470403},
	{64721, 34493699}, {64722, 34495235}, {64723, 34495747}, {64724, 34496259},
	{64725, 34496771}, {64726, 34520323}, {64727, 34498307}, {64728, 34498819},
	{64729, 34520835}, {64730, 34468867}, {64731, 34500355}, {64732, 34500867},
	{64733, 34492931}, {64734, 34498051}, {64735, 34459907}, {64736, 34517763},
	{64737, 34462467}, {64738, 34518275}, {64739, 34465539}, {64740, 34518787},
	{64741, 34467587}, {64742, 34521347}, {64743, 34473731}, {64744, 34521859},
	{64745, 34522371}, {64746, 34522883}, {64747, 34488067}, {64748, 34488579},
	{64749, 34491651}, {64750, 34496771}, {64751, 34520323}, {64752, 34492931},
	{64753, 34498051}, {64754, 51300611}, {64755, 51301379}, {64756, 51302147},
	{64757, 34525699}, {64758, 34526211}, {64759, 34526723}, {64760, 34527235},
	{64761, 34527747}, {64762, 34528259}, {64763, 34528771}, {64764, 34529283},
	{64765, 34529795}, {64766, 34530307}, {64767, 34530819}, {64768, 34500611},
	{64769, 34531331}, {64770, 34531843}, {64771, 34532355}, {64772, 34501123},
	{64773, 34532867}, {64774, 34533379}, {64775, 34533891}, {64776, 34534403},
	{64777, 34534915}, {64778, 34535427}, {64779, 34535939}, {64780, 34522371},
	{64781, 34536451}, {64782, 34536963}, {64783, 34537475}, {64784, 34537987},
	{64785, 34525699}, {64786, 34526211}, {64787, 34526723}, {64788, 34527235},
	{64789, 34527747}, {64790, 34528259}, {64791, 34528771}, {64792, 34529283},
	{64793, 34529795}, {64794, 34530307}, {64795, 34530819}, {64796, 34500611},
	{64797, 34531331}, {64798, 34531843}, {64799, 34532355}, {64800, 34501123},
	{64801, 34532867}, {64802, 34533379}, {64803, 34533891}, {64804, 34534403},
	{64805, 34534915}, {64806, 34535427}, {64807, 34535939}, {64808, 34522371},
	{64809, 34536451}, {64810, 34536963}, {64811, 34537475}, {64812, 34537987},
	{64813, 34534915}, {64814, 34535427}, {64815, 34535939}, {64816, 34522371},
	{64817, 34521859}, {64818, 34522883}, {64819, 34477827}, {64820, 34472195},
	{64821, 34472707}, {64822, 34473219}, {64823, 34534915}, {64824, 34535427},
	{64825, 34535939}, {64826, 34477827}, {64827, 34478339}, {64828, 34538499},
	{64830, 1}, {64848, 51316227}, {64849, 51316995}, {64851, 51317763},
	{64852, 51318531}, {64853, 51319299}, {64854, 51320067}, {64855, 51320835},
	{64856, 51246851}, {64858, 51321603}, {64859, 51322371}, {64860, 51323139},
	{64861, 51323907}, {64862, 51324675}, {64863, 51325443}, {64865, 51326211},
	{64866, 51326979}, {64868, 51327747}, {64870, 51328515}, {64871, 51329283},
	{64873, 51330051}, {64874, 51330819}, {64876, 51331587}, {64878, 51332355},
	{64879, 51333123}, {64881, 51333891}, {64883, 51334659}, {64884, 51335427},
	{64885, 51336195}, {64886, 51336963}, {64888, 51337731}, {64889, 51338499},
	{64890, 51339267}, {64891, 51340035}, {64892, 51340803}, {64894, 51341571},
	{64895, 51342339}, {64896, 51343107}, {64897, 51343875}, {64898, 51344643},
	{64899, 51345411}, {64901, 51346179}, {64903, 51346947}, {64905, 51347715},
	{64906, 51247107}, {64907, 51348483}, {64908, 51349251}, {64909, 51270403},
	{64910, 51247619}, {64911, 51350019}, {64912, 2}, {64914, 51350787},
	{64915, 51351555}, {64916, 51352323}, {64917, 51353091}, {64918, 51353859},
	{64919, 51354627}, {64921, 51355395}, {64922, 51356163}, {64923, 51356931},
	{64924, 51357699}, {64926, 51358467}, {64927, 51359235}, {64928, 51360003},
	{64929, 51360771}, {64930, 51361539}, {64931, 51362307}, {64932, 51363075},
	{64933, 51363843}, {64934, 51364611}, {64935, 51365379}, {64936, 51366147},
	{64937, 51366915}, {64938, 51367683}, {64939, 51368451}, {64940, 51369219},
	{64941, 51369987}, {64942, 51277571}, {64943, 51370755}, {64944, 51371523},
	{64945, 51372291}, {64946, 51373059}, {64947, 51373827}, {64948, 51341571},
	{64949, 51343107}, {64950, 51374595}, {64951, 51375363}, {64952, 51376131},
	{64953, 51376899}, {64954, 51377667}, {64955, 51378435}, {64956, 51377667},
	{64957, 51376131}, {64958, 51379203}, {64959, 51379971}, {64960, 51380739},
	{64961, 51381507}, {64962, 51382275}, {64963, 51378435}, {64964, 51336195},
	{64965, 51328515}, {64966, 51383043}, {64967, 51383811}, {64968, 2},
	{64975, 1}, {64976, 2}, {65008, 51384579}, {65009, 51385347},
	{65010, 68163331}, {65011, 68164355}, {65012, 68165379}, {65013, 68166403},
	{65014, 68167427}, {65015, 68168451}, {65016, 68169475}, {65017, 51393283},
	{65018, 303052291}, {65019, 135284739}, {65020, 68177923}, {65021, 1},
	{65024, 0}, {65040, 17847299}, {65041, 17847555}, {65042, 2},
	{65043, 17110531}, {65044, 16848643}, {65045, 17032963}, {65046, 17033987},
	{65047, 17847811}, {65048, 17848067}, {65049, 2}, {65056, 1},
	{65072, 2}, {65073, 17848323}, {65074, 17848579}, {65075, 17848835},
	{65077, 17037827}, {65078, 17038083}, {65079, 17849091}, {65080, 17849347},
	{65081, 17849603}, {65082, 17849859}, {65083, 17850115}, {65084, 17850371},
	{65085, 17850627}, {65086, 17850883}, {65087, 17067267}, {65088, 17067523},
	{65089, 17851139}, {65090, 17851395}, {65091, 17851651}, {65092, 17851907},
	{65093, 1}, {65095, 17852163}, {65096, 17852419}, {65097, 33810691},
	{65101, 17848835}, {65104, 17847299}, {65105, 17847555}, {65106, 2},
	{65108, 16848643}, {65109, 17110531}, {65110, 17033987}, {65111, 17032963},
	{65112, 17848323}, {65113, 17037827}, {65114, 17038083}, {65115, 17849091},
	{65116, 17849347}, {65117, 17849603}, {65118, 17849859}, {65119, 17852675},
	{65120, 17852931}, {65121, 17853187}, {65122, 17037059}, {65123, 17853443},
	{65124, 17853699}, {65125, 17853955}, {65126, 17037571}, {65127, 2},
	{65128, 17854211}, {65129, 17854467}, {65130, 17854723}, {65131, 17854979},
	{65132, 2}, {65136, 34632451}, {65137, 34632963}, {65138, 34503427},
	{65139, 1}, {65140, 34504195}, {65141, 2}, {65142, 34504963},
	{65143, 34523395}, {65144, 34505731}, {65145, 34524163}, {65146, 34506499},
	{65147, 34524931}, {65148, 34507267}, {65149, 34633475}, {65150, 34633987},
	{65151, 34634499}, {65152, 17857795}, {65153, 17858051}, {65155, 17858307},
	{65157, 17858563}, {65159, 17858819}, {65161, 17677315}, {65165, 16910339},
	{65167, 17683715}, {65171, 17859075}, {65173, 17686787}, {65177, 17689859},
	{65181, 17681923}, {65185, 17682435}, {65189, 17684995}, {65193, 17834499},
	{65195, 17724675}, {65197, 17725187}, {65199, 17731587}, {65201, 17694979},
	{65205, 17745155}, {65209, 17697027}, {65213, 17698051}, {65217, 17700099},
	{65221, 17701123}, {65225, 17701635}, {65229, 17702659}, {65233, 17703683},
	{65237, 17706755}, {65241, 17708803}, {65245, 17711107}, {65249, 17682947},
	{65253, 17718019}, {65257, 17721091}, {65261, 16910851}, {65263, 17677059},
	{65265, 16911875}, {65269, 34636547}, {65271, 34637059}, {65273, 34637571},
	{65275, 34622467}, {65277, 2}, {65279, 0}, {65280, 2},
	{65281, 17032963}, {65282, 17860867}, {65283, 17852675}, {65284, 17854467},
	{65285, 17854723}, {65286, 17852931}, {65287, 17861123}, {65288, 17037827},
	{65289, 17038083}, {65290, 17853187}, {65291, 17037059}, {65292, 17847299},
	{65293, 17853443}, {65294, 17196547}, {65295, 17038595}, {65296, 17035523},
	{65297, 16786947}, {65298, 16785155}, {65299, 16785411}, {65300, 16787715},
	{65301, 17035779}, {65302, 17036035}, {65303, 17036291}, {65304, 17036547},
	{65305, 17036803}, {65306, 17110531}, {65307, 16848643}, {65308, 17853699},
	{65309, 17037571}, {65310, 17853955}, {65311, 17033987}, {65312, 17854979},
	{65313, 16777219}, {65314, 16777475}, {65315, 16777731}, {65316, 16777987},
	{65317, 16778243}, {65318, 16778499}, {65319, 16778755}, {65320, 16779011},
	{65321, 16779267}, {65322, 16779523}, {65323, 16779779}, {65324, 16780035},
	{65325, 16780291}, {65326, 16780547}, {65327, 16780803}, {65328, 16781059},
	{65329, 16781315}, {65330, 16781571}, {65331, 16781827}, {65332, 16782083},
	{65333, 16782339}, {65334, 16782595}, {65335, 16782851}, {65336, 16783107},
	{65337, 16783363}, {65338, 16783619}, {65339, 17852163}, {65340, 17854211},
	{65341, 17852419}, {65342, 17861379}, {65343, 17848835}, {65344, 17027075},
	{65345, 16777219}, {65346, 16777475}, {65347, 16777731}, {65348, 16777987},
	{65349, 16778243}, {65350, 16778499}, {65351, 16778755}, {65352, 16779011},
	{65353, 16779267}, {65354, 16779523}, {65355, 16779779}, {65356, 16780035},
	{65357, 16780291}, {65358, 16780547}, {65359, 16780803}, {65360, 16781059},
	{65361, 16781315}, {65362, 16781571}, {65363, 16781827}, {65364, 16782083},
	{65365, 16782339}, {65366, 16782595}, {65367, 16782851}, {65368, 16783107},
	{65369, 16783363}, {65370, 16783619}, {65371, 17849091}, {65372, 17861635},
	{65373, 17849347}, {65374, 17861891}, {65375, 17862147}, {65376, 17862403},
	{65377, 17196547}, {65378, 17851139}, {65379, 17851395}, {65380, 17847555},
	{65381, 17862659}, {65382, 17316867}, {65383, 17319427}, {65384, 17362435},
	{65385, 17862915}, {65386, 17363971}, {65387, 17323523}, {65388, 17863171},
	{65389, 17333763}, {65390, 17379587}, {65391, 17329155}, {65392, 17318147},
	{65393, 17305603}, {65394, 17305859}, {65395, 17306115}, {65396, 17306371},
	{65397, 17306627}, {65398, 17306883}, {65399, 17307139}, {65400, 17307395},
	{65401, 17307651}, {65402, 17199107}, {65403, 17307907}, {65404, 17308163},
	{65405, 17308419}, {65406, 17308675}, {65407, 17308931}, {65408, 17309187},
	{65409, 17309443}, {65410, 17309699}, {65411, 17309955}, {65412, 17199363},
	{65413, 17310211}, {65414, 17310467}, {65415, 17310723}, {65416, 17310979},
	{65417, 17311235}, {65418, 17311491}, {65419, 17311747}, {65420, 17312003},
	{65421, 17312259}, {65422, 17312515}, {65423, 17312771}, {65424, 17313027},
	{65425, 17313283}, {65426, 17313539}, {65427, 17313795}, {65428, 17314051},
	{65429, 17314307}, {65430, 17314563}, {65431, 17314819}, {65432, 17315075},
	{65433, 17315331}, {65434, 17315587}, {65435, 17315843}, {65436, 17316099},
	{65437, 17319939}, {65438, 17197827}, {65439, 17198339}, {65440, 2},
	{65441, 17199619}, {65442, 17199875}, {65443, 17200131}, {65444, 17200387},
	{65445, 17200643}, {65446, 17200899}, {65447, 17201155}, {65448, 17201411},
	{65449, 17201667}, {65450, 17201923}, {65451, 17202179}, {65452, 17202435},
	{65453, 17202691}, {65454, 17202947}, {65455, 17203203}, {65456, 17203459},
	{65457, 17203715}, {65458, 17203971}, {65459, 17204227}, {65460, 17204483},
	{65461, 17204739}, {65462, 17204995}, {65463, 17205251}, {65464, 17205507},
	{65465, 17205763}, {65466, 17206019}, {65467, 17206275}, {65468, 17206531},
	{65469, 17206787}, {65470, 17207043}, {65471, 2}, {65474, 17207299},
	{65475, 17207555}, {65476, 17207811}, {65477, 17208067}, {65478, 17208323},
	{65479, 17208579}, {65480, 2}, {65482, 17208835}, {65483, 17209091},
	{65484, 17209347}, {65485, 17209603}, {65486, 17209859}, {65487, 17210115},
	{65488, 2}, {65490, 17210371}, {65491, 17210627}, {65492, 17210883},
	{65493, 17211139}, {65494, 17211395}, {65495, 17211651}, {65496, 2},
	{65498, 17211907}, {65499, 17212163}, {65500, 17212419}, {65501, 2},
	{65504, 17863427}, {65505, 17863683}, {65506, 17863939}, {65507, 33561859},
	{65508, 17864195}, {65509, 17864451}, {65510, 17864707}, {65511, 2},
	{65512, 17864963}, {65513, 17865219}, {65514, 17865475}, {65515, 17865731},
	{65516, 17865987}, {65517, 17866243}, {65518, 17866499}, {65519, 2},
	{65536, 1}, {65548, 2}, {65549, 1}, {65575, 2},
	{65576, 1}, {65595, 2}, {65596, 1}, {65598, 2},
	{65599, 1}, {65614, 2}, {65616, 1}, {65630, 2},
	{65664, 1}, {65787, 2}, {65792, 1}, {65795, 2},
	{65799, 1}, {65844, 2}, {65847, 1}, {65935, 2},
	{65936, 1}, {65949, 2}, {65952, 1}, {65953, 2},
	{66000, 1}, {66046, 2}, {66176, 1}, {66205, 2},
	{66208, 1}, {66257, 2}, {66272, 1}, {66300, 2},
	{66304, 1}, {66340, 2}, {66349, 1}, {66379, 2},
	{66384, 1}, {66427, 2}, {66432, 1}, {66462, 2},
	{66463, 1}, {66500, 2}, {66504, 1}, {66518, 2},
	{66560, 17866755}, {66561, 17867011}, {66562, 17867267}, {66563, 17867523},
	{66564, 17867779}, {66565, 17868035}, {66566, 17868291}, {66567, 17868547},
	{66568, 17868803}, {66569, 17869059}, {66570, 17869315}, {66571, 17869571},
	{66572, 17869827}, {66573, 17870083}, {66574, 17870339}, {66575, 17870595},
	{66576, 17870851}, {66577, 17871107}, {66578, 17871363}, {66579, 17871619},
	{66580, 17871875}, {66581, 17872131}, {66582, 17872387}, {66583, 17872643},
	{66584, 17872899}, {66585, 17873155}, {66586, 17873411}, {66587, 17873667},
	{66588, 17873923}, {66589, 17874179}, {66590, 17874435}, {66591, 17874691},
	{66592, 17874947}, {66593, 17875203}, {66594, 17875459}, {66595, 17875715},
	{66596, 17875971}, {66597, 17876227}, {66598, 17876483}, {66599, 17876739},
	{66600, 1}, {66718, 2}, {66720, 1}, {66730, 2},
	{66736, 17876995}, {66737, 17877251}, {66738, 17877507}, {66739, 17877763},
	{66740, 17878019}, {66741, 17878275}, {66742, 17878531}, {66743, 17878787},
	{66744, 17879043}, {66745, 17879299}, {66746, 17879555}, {66747, 17879811},
	{66748, 17880067}, {66749, 17880323}, {66750, 17880579}, {66751, 17880835},
	{66752, 17881091}, {66753, 17881347}, {66754, 17881603}, {66755, 17881859},
	{66756, 17882115}, {66757, 17882371}, {66758, 17882627}, {66759, 17882883},
	{66760, 17883139}, {66761, 17883395}, {66762, 17883651}, {66763, 17883907},
	{66764, 17884163}, {66765, 17884419}, {66766, 17884675}, {66767, 17884931},
	{66768, 17885187}, {66769, 17885443}, {66770, 17885699}, {66771, 17885955},
	{66772, 2}, {66776, 1}, {66812, 2}, {66816, 1},
	{66856, 2}, {66864, 1}, {66916, 2}, {66927, 1},
	{66928, 17886211}, {66929, 17886467}, {66930, 17886723}, {66931, 17886979},
	{66932, 17887235}, {66933, 17887491}, {66934, 17887747}, {66935, 17888003},
	{66936, 17888259}, {66937, 17888515}, {66938, 17888771}, {66939, 2},
	{66940, 17889027}, {66941, 17889283}, {66942, 17889539}, {66943, 17889795},
	{66944, 17890051}, {66945, 17890307}, {66946, 17890563}, {66947, 17890819},
	{66948, 17891075}, {66949, 17891331}, {66950, 17891587}, {66951, 17891843},
	{66952, 17892099}, {66953, 17892355}, {66954, 17892611}, {66955, 2},
	{66956, 17892867}, {66957, 17893123}, {66958, 17893379}, {66959, 17893635},
	{66960, 17893891}, {66961, 17894147}, {66962, 17894403}, {66963, 2},
	{66964, 17894659}, {66965, 17894915}, {66966, 2}, {66967, 1},
	{66978, 2}, {66979, 1}, {66994, 2}, {66995, 1},
	{67002, 2}, {67003, 1}, {67005, 2}, {67072, 1},
	{67383, 2}, {67392, 1}, {67414, 2}, {67424, 1},
	{67432, 2}, {67456, 1}, {67457, 17895171}, {67458, 17895427},
	{67459, 16791043}, {67460, 17895683}, {67461, 16814083}, {67462, 2},
	{67463, 17895939}, {67464, 17896195}, {67465, 17896451}, {67466, 17896707},
	{67467, 16815363}, {67468, 16815619}, {67469, 17896963}, {67470, 17897219},
	{67471, 17897475}, {67472, 17897731}, {67473, 17897987}, {67474, 17898243},
	{67475, 16817155}, {67476, 17898499}, {67477, 16802051}, {67478, 17898755},
	{67479, 17899011}, {67480, 17899267}, {67481, 17899523}, {67482, 17899779},
	{67483, 17512963}, {67484, 17900035}, {67485, 17900291}, {67486, 17900547},
	{67487, 17900803}, {67488, 17901059}, {67489, 17901315}, {67490, 16795395},
	{67491, 17901571}, {67492, 17901827}, {67493, 16781315}, {67494, 17902083},
	{67495, 17902339}, {67496, 17125379}, {67497, 17902595}, {67498, 16819971},
	{67499, 17902851}, {67500, 17903107}, {67501, 17903363}, {67502, 17903619},
	{67503, 16820995}, {67504, 17903875}, {67505, 2}, {67506, 17904131},
	{67507, 17904387}, {67508, 17904643}, {67509, 17904899}, {67510, 17905155},
	{67511, 17905411}, {67512, 17905667}, {67513, 17905923}, {67514, 17906179},
	{67515, 2}, {67584, 1}, {67590, 2}, {67592, 1},
	{67593, 2}, {67594, 1}, {67638, 2}, {67639, 1},
	{67641, 2}, {67644, 1}, {67645, 2}, {67647, 1},
	{67670, 2}, {67671, 1}, {67743, 2}, {67751, 1},
	{67760, 2}, {67808, 1}, {67827, 2}, {67828, 1},
	{67830, 2}, {67835, 1}, {67868, 2}, {67871, 1},
	{67898, 2}, {67903, 1}, {67904, 2}, {67968, 1},
	{68024, 2}, {68028, 1}, {68048, 2}, {68050, 1},
	{68100, 2}, {68101, 1}, {68103, 2}, {68108, 1},
	{68116, 2}, {68117, 1}, {68120, 2}, {68121, 1},
	{68150, 2}, {68152, 1}, {68155, 2}, {68159, 1},
	{68169, 2}, {68176, 1}, {68185, 2}, {68192, 1},
	{68256, 2}, {68288, 1}, {68327, 2}, {68331, 1},
	{68343, 2}, {68352, 1}, {68406, 2}, {68409, 1},
	{68438, 2}, {68440, 1}, {68467, 2}, {68472, 1},
	{68498, 2}, {68505, 1}, {68509, 2}, {68521, 1},
	{68528, 2}, {68608, 1}, {68681, 2}, {68736, 17906435},
	{68737, 17906691}, {68738, 17906947}, {68739, 17907203}, {68740, 17907459},
	{68741, 17907715}, {68742, 17907971}, {68743, 17908227}, {68744, 17908483},
	{68745, 17908739}, {68746, 17908995}, {68747, 17909251}, {68748, 17909507},
	{68749, 17909763}, {68750, 17910019}, {68751, 17910275}, {68752, 17910531},
	{68753, 17910787}, {68754, 17911043}, {68755, 17911299}, {68756, 17911555},
	{68757, 17911811}, {68758, 17912067}, {68759, 17912323}, {68760, 17912579},
	{68761, 17912835}, {68762, 17913091}, {68763, 17913347}, {68764, 17913603},
	{68765, 17913859}, {68766, 17914115}, {68767, 17914371}, {68768, 17914627},
	{68769, 17914883}, {68770, 17915139}, {68771, 17915395}, {68772, 17915651},
	{68773, 17915907}, {68774, 17916163}, {68775, 17916419}, {68776, 17916675},
	{68777, 17916931}, {68778, 17917187}, {68779, 17917443}, {68780, 17917699},
	{68781, 17917955}, {68782, 17918211}, {68783, 17918467}, {68784, 17918723},
	{68785, 17918979}, {68786, 17919235}, {68787, 2}, {68800, 1},
	{68851, 2}, {68858, 1}, {68904, 2}, {68912, 1},
	{68922, 2}, {69216, 1}, {69247, 2}, {69248, 1},
	{69290, 2}, {69291, 1}, {69294, 2}, {69296, 1},
	{69298, 2}, {69373, 1}, {69416, 2}, {69424, 1},
	{69466, 2}, {69488, 1}, {69514, 2}, {69552, 1},
	{69580, 2}, {69600, 1}, {69623, 2}, {69632, 1},
	{69710, 2}, {69714, 1}, {69750, 2}, {69759, 1},
	{69821, 2}, {69822, 1}, {69827, 2}, {69840, 1},
	{69865, 2}, {69872, 1}, {69882, 2}, {69888, 1},
	{69941, 2}, {69942, 1}, {69960, 2}, {69968, 1},
	{70007, 2}, {70016, 1}, {70112, 2}, {70113, 1},
	{70133, 2}, {70144, 1}, {70162, 2}, {70163, 1},
	{70210, 2}, {70272, 1}, {70279, 2}, {70280, 1},
	{70281, 2}, {70282, 1}, {70286, 2}, {70287, 1},
	{70302, 2}, {70303, 1}, {70314, 2}, {70320, 1},
	{70379, 2}, {70384, 1}, {70394, 2}, {70400, 1},
	{70404, 2}, {70405, 1}, {70413, 2}, {70415, 1},
	{70417, 2}, {70419, 1}, {70441, 2}, {70442, 1},
	{70449, 2}, {70450, 1}, {70452, 2}, {70453, 1},
	{70458, 2}, {70459, 1}, {70469, 2}, {70471, 1},
	{70473, 2}, {70475, 1}, {70478, 2}, {70480, 1},
	{70481, 2}, {70487, 1}, {70488, 2}, {70493, 1},
	{70500, 2}, {70502, 1}, {70509, 2}, {70512, 1},
	{70517, 2}, {70656, 1}, {70748, 2}, {70749, 1},
	{70754, 2}, {70784, 1}, {70856, 2}, {70864, 1},
	{70874, 2}, {71040, 1}, {71094, 2}, {71096, 1},
	{71134, 2}, {71168, 1}, {71237, 2}, {71248, 1},
	{71258, 2}, {71264, 1}, {71277, 2}, {71296, 1},
	{71354, 2}, {71360, 1}, {71370, 2}, {71424, 1},
	{71451, 2}, {71453, 1}, {71468, 2}, {71472, 1},
	{71495, 2}, {71680, 1}, {71740, 2}, {71840, 17919491},
	{71841, 17919747}, {71842, 17920003}, {71843, 17920259}, {71844, 17920515},
	{71845, 17920771}, {71846, 17921027}, {71847, 17921283}, {71848, 17921539},
	{71849, 17921795}, {71850, 17922051}, {71851, 17922307}, {71852, 17922563},
	{71853, 17922819}, {71854, 17923075}, {71855, 17923331}, {71856, 17923587},
	{71857, 17923843}, {71858, 17924099}, {71859, 17924355}, {71860, 17924611},
	{71861, 17924867}, {71862, 17925123}, {71863, 17925379}, {71864, 17925635},
	{71865, 17925891}, {71866, 17926147}, {71867, 17926403}, {71868, 17926659},
	{71869, 17926915}, {71870, 17927171}, {71871, 17927427}, {71872, 1},
	{71923, 2}, {71935, 1}, {71943, 2}, {71945, 1},
	{71946, 2}, {71948, 1}, {71956, 2}, {71957, 1},
	{71959, 2}, {71960, 1}, {71990, 2}, {71991, 1},
	{71993, 2}, {71995, 1}, {72007, 2}, {72016, 1},
	{72026, 2}, {72096, 1}, {72104, 2}, {72106, 1},
	{72152, 2}, {72154, 1}, {72165, 2}, {72192, 1},
	{72264, 2}, {72272, 1}, {72355, 2}, {72368, 1},
	{72441, 2}, {72448, 1}, {72458, 2}, {72704, 1},
	{72713, 2}, {72714, 1}, {72759, 2}, {72760, 1},
	{72774, 2}, {72784, 1}, {72813, 2}, {72816, 1},
	{72848, 2}, {72850, 1}, {72872, 2}, {72873, 1},
	{72887, 2}, {72960, 1}, {72967, 2}, {72968, 1},
	{72970, 2}, {72971, 1}, {73015, 2}, {73018, 1},
	{73019, 2}, {73020, 1}, {73022, 2}, {73023, 1},
	{73032, 2}, {73040, 1}, {73050, 2}, {73056, 1},
	{73062, 2}, {73063, 1}, {73065, 2}, {73066, 1},
	{73103, 2}, {73104, 1}, {73106, 2}, {73107, 1},
	{73113, 2}, {73120, 1}, {73130, 2}, {73440, 1},
	{73465, 2}, {73472, 1}, {73489, 2}, {73490, 1},
	{73531, 2}, {73534, 1}, {73562, 2}, {73648, 1},
	{73649, 2}, {73664, 1}, {73714, 2}, {73727, 1},
	{74650, 2}, {74752, 1}, {74863, 2}, {74864, 1},
	{74869, 2}, {74880, 1}, {75076, 2}, {77712, 1},
	{77811, 2}, {77824, 1}, {78896, 2}, {78912, 1},
	{78934, 2}, {82944, 1}, {83527, 2}, {92160, 1},
	{92729, 2}, {92736, 1}, {92767, 2}, {92768, 1},
	{92778, 2}, {92782, 1}, {92863, 2}, {92864, 1},
	{92874, 2}, {92880, 1}, {92910, 2}, {92912, 1},
	{92918, 2}, {92928, 1}, {92998, 2}, {93008, 1},
	{93018, 2}, {93019, 1}, {93026, 2}, {93027, 1},
	{93048, 2}, {93053, 1}, {93072, 2}, {93760, 17927683},
	{93761, 17927939}, {93762, 17928195}, {93763, 17928451}, {93764, 17928707},
	{93765, 17928963}, {93766, 17929219}, {93767, 17929475}, {93768, 17929731},
	{93769, 17929987}, {93770, 17930243}, {93771, 17930499}, {93772, 17930755},
	{93773, 17931011}, {93774, 17931267}, {93775, 17931523}, {93776, 17931779},
	{93777, 17932035}, {93778, 17932291}, {93779, 17932547}, {93780, 17932803},
	{93781, 17933059}, {93782, 17933315}, {93783, 17933571}, {93784, 17933827},
	{93785, 17934083}, {93786, 17934339}, {93787, 17934595}, {93788, 17934851},
	{93789, 17935107}, {93790, 17935363}, {93791, 17935619}, {93792, 1},
	{93851, 2}, {93952, 1}, {94027, 2}, {94031, 1},
	{94088, 2}, {94095, 1}, {94112, 2}, {94176, 1},
	{94181, 2}, {94192, 1}, {94194, 2}, {94208, 1},
	{100344, 2}, {100352, 1}, {101590, 2}, {101632, 1},
	{101641, 2}, {110576, 1}, {110580, 2}, {110581, 1},
	{110588, 2}, {110589, 1}, {110591, 2}, {110592, 1},
	{110883, 2}, {110898, 1}, {110899, 2}, {110928, 1},
	{110931, 2}, {110933, 1}, {110934, 2}, {110948, 1},
	{110952, 2}, {110960, 1}, {111356, 2}, {113664, 1},
	{113771, 2}, {113776, 1}, {113789, 2}, {113792, 1},
	{113801, 2}, {113808, 1}, {113818, 2}, {113820, 1},
	{113824, 0}, {113828, 2}, {118528, 1}, {118574, 2},
	{118576, 1}, {118599, 2}, {118608, 1}, {118724, 2},
	{118784, 1}, {119030, 2}, {119040, 1}, {119079, 2},
	{119081, 1}, {119134, 34713091}, {119135, 34713603}, {119136, 51491331},
	{119137, 51492099}, {119138, 51492867}, {119139, 51493635}, {119140, 51494403},
	{119141, 1}, {119155, 2}, {119163, 1}, {119227, 34717955},
	{119228, 34718467}, {119229, 51496195}, {119230, 51496963}, {119231, 51497731},
	{119232, 51498499}, {119233, 1}, {119275, 2}, {119296, 1},
	{119366, 2}, {119488, 1}, {119508, 2}, {119520, 1},
	{119540, 2}, {119552, 1}, {119639, 2}, {119648, 1},
	{119673, 2}, {119808, 16777219}, {119809, 16777475}, {119810, 16777731},
	{119811, 16777987}, {119812, 16778243}, {119813, 16778499}, {119814, 16778755},
	{119815, 16779011}, {119816, 16779267}, {119817, 16779523}, {119818, 16779779},
	{119819, 16780035}, {119820, 16780291}, {119821, 16780547}, {119822, 16780803},
	{119823, 16781059}, {119824, 16781315}, {119825, 16781571}, {119826, 16781827},
	{119827, 16782083}, {119828, 16782339}, {119829, 16782595}, {119830, 16782851},
	{119831, 16783107}, {119832, 16783363}, {119833, 16783619}, {119834, 16777219},
	{119835, 16777475}, {119836, 16777731}, {119837, 16777987}, {119838, 16778243},
	{119839, 16778499}, {119840, 16778755}, {119841, 16779011}, {119842, 16779267},
	{119843, 16779523}, {119844, 16779779}, {119845, 16780035}, {119846, 16780291},
	{119847, 16780547}, {119848, 16780803}, {119849, 16781059}, {119850, 16781315},
	{119851, 16781571}, {119852, 16781827}, {119853, 16782083}, {119854, 16782339},
	{119855, 16782595}, {119856, 16782851}, {119857, 16783107}, {119858, 16783363},
	{119859, 16783619}, {119860, 16777219}, {119861, 16777475}, {119862, 16777731},
	{119863, 16777987}, {119864, 16778243}, {119865, 16778499}, {119866, 16778755},
	{119867, 16779011}, {119868, 16779267}, {119869, 16779523}, {119870, 16779779},
	{119871, 16780035}, {119872, 16780291}, {119873, 16780547}, {119874, 16780803},
	{119875, 16781059}, {119876, 16781315}, {119877, 16781571}, {119878, 16781827},
	{119879, 16782083}, {119880, 16782339}, {119881, 16782595}, {119882, 16782851},
	{119883, 16783107}, {119884, 16783363}, {119885, 16783619}, {119886, 16777219},
	{119887, 16777475}, {119888, 16777731}, {119889, 16777987}, {119890, 16778243},
	{119891, 16778499}, {119892, 16778755}, {119893, 2}, {119894, 16779267},
	{119895, 16779523}, {119896, 16779779}, {119897, 16780035}, {119898, 16780291},
	{119899, 16780547}, {119900, 16780803}, {119901, 16781059}, {119902, 16781315},
	{119903, 16781571}, {119904, 16781827}, {119905, 16782083}, {119906, 16782339},
	{119907, 16782595}, {119908, 16782851}, {119909, 16783107}, {119910, 16783363},
	{119911, 16783619}, {119912, 16777219}, {119913, 16777475}, {119914, 16777731},
	{119915, 16777987}, {119916, 16778243}, {119917, 16778499}, {119918, 16778755},
	{119919, 16779011}, {119920, 16779267}, {119921, 16779523}, {119922, 16779779},
	{119923, 16780035}, {119924, 16780291}, {119925, 16780547}, {119926, 16780803},
	{119927, 16781059}, {119928, 16781315}, {119929, 16781571}, {119930, 16781827},
	{119931, 16782083}, {119932, 16782339}, {119933, 16782595}, {119934, 16782851},
	{119935, 16783107}, {119936, 16783363}, {119937, 16783619}, {119938, 16777219},
	{119939, 16777475}, {119940, 16777731}, {119941, 16777987}, {119942, 16778243},
	{119943, 16778499}, {119944, 16778755}, {119945, 16779011}, {119946, 16779267},
	{119947, 16779523}, {119948, 16779779}, {119949, 16780035}, {119950, 16780291},
	{119951, 16780547}, {119952, 16780803}, {119953, 16781059}, {119954, 16781315},
	{119955, 16781571}, {119956, 16781827}, {119957, 16782083}, {119958, 16782339},
	{119959, 16782595}, {119960, 16782851}, {119961, 16783107}, {119962, 16783363},
	{119963, 16783619}, {119964, 16777219}, {119965, 2}, {119966, 16777731},
	{119967, 16777987}, {119968, 2}, {119970, 16778755}, {119971, 2},
	{119973, 16779523}, {119974, 16779779}, {119975, 2}, {119977, 16780547},
	{119978, 16780803}, {119979, 16781059}, {119980, 16781315}, {119981, 2},
	{119982, 16781827}, {119983, 16782083}, {119984, 16782339}, {119985, 16782595},
	{119986, 16782851}, {119987, 16783107}, {119988, 16783363}, {119989, 16783619},
	{119990, 16777219}, {119991, 16777475}, {119992, 16777731}, {119993, 16777987},
	{119994, 2}, {119995, 16778499}, {119996, 2}, {119997, 16779011},
	{119998, 16779267}, {119999, 16779523}, {120000, 16779779}, {120001, 16780035},
	{120002, 16780291}, {120003, 16780547}, {120004, 2}, {120005, 16781059},
	{120006, 16781315}, {120007, 16781571}, {120008, 16781827}, {120009, 16782083},
	{120010, 16782339}, {120011, 16782595}, {120012, 16782851}, {120013, 16783107},
	{120014, 16783363}, {120015, 16783619}, {120016, 16777219}, {120017, 16777475},
	{120018, 16777731}, {120019, 16777987}, {120020, 16778243}, {120021, 16778499},
	{120022, 16778755}, {120023, 16779011}, {120024, 16779267}, {120025, 16779523},
	{120026, 16779779}, {120027, 16780035}, {120028, 16780291}, {120029, 16780547},
	{120030, 16780803}, {120031, 16781059}, {120032, 16781315}, {120033, 16781571},
	{120034, 16781827}, {120035, 16782083}, {120036, 16782339}, {120037, 16782595},
	{120038, 16782851}, {120039, 16783107}, {120040, 16783363}, {120041, 16783619},
	{120042, 16777219}, {120043, 16777475}, {120044, 16777731}, {120045, 16777987},
	{120046, 16778243}, {120047, 16778499}, {120048, 16778755}, {120049, 16779011},
	{120050, 16779267}, {120051, 16779523}, {120052, 16779779}, {120053, 16780035},
	{120054, 16780291}, {120055, 16780547}, {120056, 16780803}, {120057, 16781059},
	{120058, 16781315}, {120059, 16781571}, {120060, 16781827}, {120061, 16782083},
	{120062, 16782339}, {120063, 16782595}, {120064, 16782851}, {120065, 16783107},
	{120066, 16783363}, {120067, 16783619}, {120068, 16777219}, {120069, 16777475},
	{120070, 2}, {120071, 16777987}, {120072, 16778243}, {120073, 16778499},
	{120074, 16778755}, {120075, 2}, {120077, 16779523}, {120078, 16779779},
	{120079, 16780035}, {120080, 16780291}, {120081, 16780547}, {120082, 16780803},
	{120083, 16781059}, {120084, 16781315}, {120085, 2}, {120086, 16781827},
	{120087, 16782083}, {120088, 16782339}, {120089, 16782595}, {120090, 16782851},
	{120091, 16783107}, {120092, 16783363}, {120093, 2}, {120094, 16777219},
	{120095, 16777475}, {120096, 16777731}, {120097, 16777987}, {120098, 16778243},
	{120099, 16778499}, {120100, 16778755}, {120101, 16779011}, {120102, 16779267},
	{120103, 16779523}, {120104, 16779779}, {120105, 16780035}, {120106, 16780291},
	{120107, 16780547}, {120108, 16780803}, {120109, 16781059}, {120110, 16781315},
	{120111, 16781571}, {120112, 16781827}, {120113, 16782083}, {120114, 16782339},
	{120115, 16782595}, {120116, 16782851}, {120117, 16783107}, {120118, 16783363},
	{120119, 16783619}, {120120, 16777219}, {120121, 16777475}, {120122, 2},
	{120123, 16777987}, {120124, 16778243}, {120125, 16778499}, {120126, 16778755},
	{120127, 2}, {120128, 16779267}, {120129, 16779523}, {120130, 16779779},
	{120131, 16780035}, {120132, 16780291}, {120133, 2}, {120134, 16780803},
	{120135, 2}, {120138, 16781827}, {120139, 16782083}, {120140, 16782339},
	{120141, 16782595}, {120142, 16782851}, {120143, 16783107}, {120144, 16783363},
	{120145, 2}, {120146, 16777219}, {120147, 16777475}, {120148, 16777731},
	{120149, 16777987}, {120150, 16778243}, {120151, 16778499}, {120152, 16778755},
	{120153, 16779011}, {120154, 16779267}, {120155, 16779523}, {120156, 16779779},
	{120157, 16780035}, {120158, 16780291}, {120159, 16780547}, {120160, 16780803},
	{120161, 16781059}, {120162, 16781315}, {120163, 16781571}, {120164, 16781827},
	{120165, 16782083}, {120166, 16782339}, {120167, 16782595}, {120168, 16782851},
	{120169, 16783107}, {120170, 16783363}, {120171, 16783619}, {120172, 16777219},
	{120173, 16777475}, {120174, 16777731}, {120175, 16777987}, {120176, 16778243},
	{120177, 16778499}, {120178, 16778755}, {120179, 16779011}, {120180, 16779267},
	{120181, 16779523}, {120182, 16779779}, {120183, 16780035}, {120184, 16780291},
	{120185, 16780547}, {120186, 16780803}, {120187, 16781059}, {120188, 16781315},
	{120189, 16781571}, {120190, 16781827}, {120191, 16782083}, {120192, 16782339},
	{120193, 16782595}, {120194, 16782851}, {120195, 16783107}, {120196, 16783363},
	{120197, 16783619}, {120198, 16777219}, {120199, 16777475}, {120200, 16777731},
	{120201, 16777987}, {120202, 16778243}, {120203, 16778499}, {120204, 16778755},
	{120205, 16779011}, {120206, 16779267}, {120207, 16779523}, {120208, 16779779},
	{120209, 16780035}, {120210, 16780291}, {120211, 16780547}, {120212, 16780803},
	{120213, 16781059}, {120214, 16781315}, {120215, 16781571}, {120216, 16781827},
	{120217, 16782083}, {120218, 16782339}, {120219, 16782595}, {120220, 16782851},
	{120221, 16783107}, {120222, 16783363}, {120223, 16783619}, {120224, 16777219},
	{120225, 16777475}, {120226, 16777731}, {120227, 16777987}, {120228, 16778243},
	{120229, 16778499}, {120230, 16778755}, {120231, 16779011}, {120232, 16779267},
	{120233, 16779523}, {120234, 16779779}, {120235, 16780035}, {120236, 16780291},
	{120237, 16780547}, {120238, 16780803}, {120239, 16781059}, {120240, 16781315},
	{120241, 16781571}, {120242, 16781827}, {120243, 16782083}, {120244, 16782339},
	{120245, 16782595}, {120246, 16782851}, {120247, 16783107}, {120248, 16783363},
	{120249, 16783619}, {120250, 16777219}, {120251, 16777475}, {120252, 16777731},
	{120253, 16777987}, {120254, 16778243}, {120255, 16778499}, {120256, 16778755},
	{120257, 16779011}, {120258, 16779267}, {120259, 16779523}, {120260, 16779779},
	{120261, 16780035}, {120262, 16780291}, {120263, 16780547}, {120264, 16780803},
	{120265, 16781059}, {120266, 16781315}, {120267, 16781571}, {120268, 16781827},
	{120269, 16782083}, {120270, 16782339}, {120271, 16782595}, {120272, 16782851},
	{120273, 16783107}, {120274, 16783363}, {120275, 16783619}, {120276, 16777219},
	{120277, 16777475}, {120278, 16777731}, {120279, 16777987}, {120280, 16778243},
	{120281, 16778499}, {120282, 16778755}, {120283, 16779011}, {120284, 16779267},
	{120285, 16779523}, {120286, 16779779}, {120287, 16780035}, {120288, 16780291},
	{120289, 16780547}, {120290, 16780803}, {120291, 16781059}, {120292, 16781315},
	{120293, 16781571}, {120294, 16781827}, {120295, 16782083}, {120296, 16782339},
	{120297, 16782595}, {120298, 16782851}, {120299, 16783107}, {120300, 16783363},
	{120301, 16783619}, {120302, 16777219}, {120303, 16777475}, {120304, 16777731},
	{120305, 16777987}, {120306, 16778243}, {120307, 16778499}, {120308, 16778755},
	{120309, 16779011}, {120310, 16779267}, {120311, 16779523}, {120312, 16779779},
	{120313, 16780035}, {120314, 16780291}, {120315, 16780547}, {120316, 16780803},
	{120317, 16781059}, {120318, 16781315}, {120319, 16781571}, {120320, 16781827},
	{120321, 16782083}, {120322, 16782339}, {120323, 16782595}, {120324, 16782851},
	{120325, 16783107}, {120326, 16783363}, {120327, 16783619}, {120328, 16777219},
	{120329, 16777475}, {120330, 16777731}, {120331, 16777987}, {120332, 16778243},
	{120333, 16778499}, {120334, 16778755}, {120335, 16779011}, {120336, 16779267},
	{120337, 16779523}, {120338, 16779779}, {120339, 16780035}, {120340, 16780291},
	{120341, 16780547}, {120342, 16780803}, {120343, 16781059}, {120344, 16781315},
	{120345, 16781571}, {120346, 16781827}, {120347, 16782083}, {120348, 16782339},
	{120349, 16782595}, {120350, 16782851}, {120351, 16783107}, {120352, 16783363},
	{120353, 16783619}, {120354, 16777219}, {120355, 16777475}, {120356, 16777731},
	{120357, 16777987}, {120358, 16778243}, {120359, 16778499}, {120360, 16778755},
	{120361, 16779011}, {120362, 16779267}, {120363, 16779523}, {120364, 16779779},
	{120365, 16780035}, {120366, 16780291}, {120367, 16780547}, {120368, 16780803},
	{120369, 16781059}, {120370, 16781315}, {120371, 16781571}, {120372, 16781827},
	{120373, 16782083}, {120374, 16782339}, {120375, 16782595}, {120376, 16782851},
	{120377, 16783107}, {120378, 16783363}, {120379, 16783619}, {120380, 16777219},
	{120381, 16777475}, {120382, 16777731}, {120383, 16777987}, {120384, 16778243},
	{120385, 16778499}, {120386, 16778755}, {120387, 16779011}, {120388, 16779267},
	{120389, 16779523}, {120390, 16779779}, {120391, 16780035}, {120392, 16780291},
	{120393, 16780547}, {120394, 16780803}, {120395, 16781059}, {120396, 16781315},
	{120397, 16781571}, {120398, 16781827}, {120399, 16782083}, {120400, 16782339},
	{120401, 16782595}, {120402, 16782851}, {120403, 16783107}, {120404, 16783363},
	{120405, 16783619}, {120406, 16777219}, {120407, 16777475}, {120408, 16777731},
	{120409, 16777987}, {120410, 16778243}, {120411, 16778499}, {120412, 16778755},
	{120413, 16779011}, {120414, 16779267}, {120415, 16779523}, {120416, 16779779},
	{120417, 16780035}, {120418, 16780291}, {120419, 16780547}, {120420, 16780803},
	{120421, 16781059}, {120422, 16781315}, {120423, 16781571}, {120424, 16781827},
	{120425, 16782083}, {120426, 16782339}, {120427, 16782595}, {120428, 16782851},
	{120429, 16783107}, {120430, 16783363}, {120431, 16783619}, {120432, 16777219},
	{120433, 16777475}, {120434, 16777731}, {120435, 16777987}, {120436, 16778243},
	{120437, 16778499}, {120438, 16778755}, {120439, 16779011}, {120440, 16779267},
	{120441, 16779523}, {120442, 16779779}, {120443, 16780035}, {120444, 16780291},
	{120445, 16780547}, {120446, 16780803}, {120447, 16781059}, {120448, 16781315},
	{120449, 16781571}, {120450, 16781827}, {120451, 16782083}, {120452, 16782339},
	{120453, 16782595}, {120454, 16782851}, {120455, 16783107}, {120456, 16783363},
	{120457, 16783619}, {120458, 16777219}, {120459, 16777475}, {120460, 16777731},
	{120461, 16777987}, {120462, 16778243}, {120463, 16778499}, {120464, 16778755},
	{120465, 16779011}, {120466, 16779267}, {120467, 16779523}, {120468, 16779779},
	{120469, 16780035}, {120470, 16780291}, {120471, 16780547}, {120472, 16780803},
	{120473, 16781059}, {120474, 16781315}, {120475, 16781571}, {120476, 16781827},
	{120477, 16782083}, {120478, 16782339}, {120479, 16782595}, {120480, 16782851},
	{120481, 16783107}, {120482, 16783363}, {120483, 16783619}, {120484, 17944835},
	{120485, 17945091}, {120486, 2}, {120488, 16851715}, {120489, 16851971},
	{120490, 16852227}, {120491, 16852483}, {120492, 16852739}, {120493, 16852995},
	{120494, 16853251}, {120495, 16853507}, {120496, 16846851}, {120497, 16853763},
	{120498, 16854019}, {120499, 16786179}, {120500, 16854275}, {120501, 16854531},
	{120502, 16854787}, {120503, 16855043}, {120504, 16855299}, {120505, 16853507},
	{120506, 16855555}, {120507, 16855811}, {120508, 16856067}, {120509, 16856323},
	{120510, 16856579}, {120511, 16856835}, {120512, 16857091}, {120513, 17945347},
	{120514, 16851715}, {120515, 16851971}, {120516, 16852227}, {120517, 16852483},
	{120518, 16852739}, {120519, 16852995}, {120520, 16853251}, {120521, 16853507},
	{120522, 16846851}, {120523, 16853763}, {120524, 16854019}, {120525, 16786179},
	{120526, 16854275}, {120527, 16854531}, {120528, 16854787}, {120529, 16855043},
	{120530, 16855299}, {120531, 16855555}, {120533, 16855811}, {120534, 16856067},
	{120535, 16856323}, {120536, 16856579}, {120537, 16856835}, {120538, 16857091},
	{120539, 17945603}, {120540, 16852739}, {120541, 16853507}, {120542, 16853763},
	{120543, 16856323}, {120544, 16855299}, {120545, 16855043}, {120546, 16851715},
	{120547, 16851971}, {120548, 16852227}, {120549, 16852483}, {120550, 16852739},
	{120551, 16852995}, {120552, 16853251}, {120553, 16853507}, {120554, 16846851},
	{120555, 16853763}, {120556, 16854019}, {120557, 16786179}, {120558, 16854275},
	{120559, 16854531}, {120560, 16854787}, {120561, 16855043}, {120562, 16855299},
	{120563, 16853507}, {120564, 16855555}, {120565, 16855811}, {120566, 16856067},
	{120567, 16856323}, {120568, 16856579}, {120569, 16856835}, {120570, 16857091},
	{120571, 17945347}, {120572, 16851715}, {120573, 16851971}, {120574, 16852227},
	{120575, 16852483}, {120576, 16852739}, {120577, 16852995}, {120578, 16853251},
	{120579, 16853507}, {120580, 16846851}, {120581, 16853763}, {120582, 16854019},
	{120583, 16786179}, {120584, 16854275}, {120585, 16854531}, {120586, 16854787},
	{120587, 16855043}, {120588, 16855299}, {120589, 16855555}, {120591, 16855811},
	{120592, 16856067}, {120593, 16856323}, {120594, 16856579}, {120595, 16856835},
	{120596, 16857091}, {120597, 17945603}, {120598, 16852739}, {120599, 16853507},
	{120600, 16853763}, {120601, 16856323}, {120602, 16855299}, {120603, 16855043},
	{120604, 16851715}, {120605, 16851971}, {120606, 16852227}, {120607, 16852483},
	{120608, 16852739}, {120609, 16852995}, {120610, 16853251}, {120611, 16853507},
	{120612, 16846851}, {120613, 16853763}, {120614, 16854019}, {120615, 16786179},
	{120616, 16854275}, {120617, 16854531}, {120618, 16854787}, {120619, 16855043},
	{120620, 16855299}, {120621, 16853507}, {120622, 16855555}, {120623, 16855811},
	{120624, 16856067}, {120625, 16856323}, {120626, 16856579}, {120627, 16856835},
	{120628, 16857091}, {120629, 17945347}, {120630, 16851715}, {120631, 16851971},
	{120632, 16852227}, {120633, 16852483}, {120634, 16852739}, {120635, 16852995},
	{120636, 16853251}, {120637, 16853507}, {120638, 16846851}, {120639, 16853763},
	{120640, 16854019}, {120641, 16786179}, {120642, 16854275}, {120643, 16854531},
	{120644, 16854787}, {120645, 16855043}, {120646, 16855299}, {120647, 16855555},
	{120649, 16855811}, {120650, 16856067}, {120651, 16856323}, {120652, 16856579},
	{120653, 16856835}, {120654, 16857091}, {120655, 17945603}, {120656, 16852739},
	{120657, 16853507}, {120658, 16853763}, {120659, 16856323}, {120660, 16855299},
	{120661, 16855043}, {120662, 16851715}, {120663, 16851971}, {120664, 16852227},
	{120665, 16852483}, {120666, 16852739}, {120667, 16852995}, {120668, 16853251},
	{120669, 16853507}, {120670, 16846851}, {120671, 16853763}, {120672, 16854019},
	{120673, 16786179}, {120674, 16854275}, {120675, 16854531}, {120676, 16854787},
	{120677, 16855043}, {120678, 16855299}, {120679, 16853507}, {120680, 16855555},
	{120681, 16855811}, {120682, 16856067}, {120683, 16856323}, {120684, 16856579},
	{120685, 16856835}, {120686, 16857091}, {120687, 17945347}, {120688, 16851715},
	{120689, 16851971}, {120690, 16852227}, {120691, 16852483}, {120692, 16852739},
	{120693, 16852995}, {120694, 16853251}, {120695, 16853507}, {120696, 16846851},
	{120697, 16853763}, {120698, 16854019}, {120699, 16786179}, {120700, 16854275},
	{120701, 16854531}, {120702, 16854787}, {120703, 16855043}, {120704, 16855299},
	{120705, 16855555}, {120707, 16855811}, {120708, 16856067}, {120709, 16856323},
	{120710, 16856579}, {120711, 16856835}, {120712, 16857091}, {120713, 17945603},
	{120714, 16852739}, {120715, 16853507}, {120716, 16853763}, {120717, 16856323},
	{120718, 16855299}, {120719, 16855043}, {120720, 16851715}, {120721, 16851971},
	{120722, 16852227}, {120723, 16852483}, {120724, 16852739}, {120725, 16852995},
	{120726, 16853251}, {120727, 16853507}, {120728, 16846851}, {120729, 16853763},
	{120730, 16854019}, {120731, 16786179}, {120732, 16854275}, {120733, 16854531},
	{120734, 16854787}, {120735, 16855043}, {120736, 16855299}, {120737, 16853507},
	{120738, 16855555}, {120739, 16855811}, {120740, 16856067}, {120741, 16856323},
	{120742, 16856579}, {120743, 16856835}, {120744, 16857091}, {120745, 17945347},
	{120746, 16851715}, {120747, 16851971}, {120748, 16852227}, {120749, 16852483},
	{120750, 16852739}, {120751, 16852995}, {120752, 16853251}, {120753, 16853507},
	{120754, 16846851}, {120755, 16853763}, {120756, 16854019}, {120757, 16786179},
	{120758, 16854275}, {120759, 16854531}, {120760, 16854787}, {120761, 16855043},
	{120762, 16855299}, {120763, 16855555}, {120765, 16855811}, {120766, 16856067},
	{120767, 16856323}, {120768, 16856579}, {120769, 16856835}, {120770, 16857091},
	{120771, 17945603}, {120772, 16852739}, {120773, 16853507}, {120774, 16853763},
	{120775, 16856323}, {120776, 16855299}, {120777, 16855043}, {120778, 16858627},
	{120780, 2}, {120782, 17035523}, {120783, 16786947}, {120784, 16785155},
	{120785, 16785411}, {120786, 16787715}, {120787, 17035779}, {120788, 17036035},
	{120789, 17036291}, {120790, 17036547}, {120791, 17036803}, {120792, 17035523},
	{120793, 16786947}, {120794, 16785155}, {120795, 16785411}, {120796, 16787715},
	{120797, 17035779}, {120798, 17036035}, {120799, 17036291}, {120800, 17036547},
	{120801, 17036803}, {120802, 17035523}, {120803, 16786947}, {120804, 16785155},
	{120805, 16785411}, {120806, 16787715}, {120807, 17035779}, {120808, 17036035},
	{120809, 17036291}, {120810, 17036547}, {120811, 17036803}, {120812, 17035523},
	{120813, 16786947}, {120814, 16785155}, {120815, 16785411}, {120816, 16787715},
	{120817, 17035779}, {120818, 17036035}, {120819, 17036291}, {120820, 17036547},
	{120821, 17036803}, {120822, 17035523}, {120823, 16786947}, {120824, 16785155},
	{120825, 16785411}, {120826, 16787715}, {120827, 17035779}, {120828, 17036035},
	{120829, 17036291}, {120830, 17036547}, {120831, 17036803}, {120832, 1},
	{121484, 2}, {121499, 1}, {121504, 2}, {121505, 1},
	{121520, 2}, {122624, 1}, {122655, 2}, {122661, 1},
	{122667, 2}, {122880, 1}, {122887, 2}, {122888, 1},
	{122905, 2}, {122907, 1}, {122914, 2}, {122915, 1},
	{122917, 2}, {122918, 1}, {122923, 2}, {122928, 16866563},
	{122929, 16866819}, {122930, 16867075}, {122931, 16867331}, {122932, 16867587},
	{122933, 16867843}, {122934, 16868099}, {122935, 16868355}, {122936, 16868611},
	{122937, 16869123}, {122938, 16869379}, {122939, 16869635}, {122940, 16870147},
	{122941, 16870403}, {122942, 16870659}, {122943, 16870915}, {122944, 16871171},
	{122945, 16871427}, {122946, 16871683}, {122947, 16871939}, {122948, 16872195},
	{122949, 16872451}, {122950, 16872707}, {122951, 16873475}, {122952, 16873987},
	{122953, 16874243}, {122954, 17495299}, {122955, 16888835}, {122956, 16864003},
	{122957, 16864515}, {122958, 16890883}, {122959, 16883715}, {122960, 17945859},
	{122961, 16866563}, {122962, 16866819}, {122963, 16867075}, {122964, 16867331},
	{122965, 16867587}, {122966, 16867843}, {122967, 16868099}, {122968, 16868355},
	{122969, 16868611}, {122970, 16869123}, {122971, 16869379}, {122972, 16870147},
	{122973, 16870403}, {122974, 16870915}, {122975, 16871427}, {122976, 16871683},
	{122977, 16871939}, {122978, 16872195}, {122979, 16872451}, {122980, 16872707},
	{122981, 16873219}, {122982, 16873475}, {122983, 16879875}, {122984, 16864003},
	{122985, 16863747}, {122986, 16866307}, {122987, 16883203}, {122988, 17490435},
	{122989, 16883971}, {122990, 2}, {123023, 1}, {123024, 2},
	{123136, 1}, {123181, 2}, {123184, 1}, {123198, 2},
	{123200, 1}, {123210, 2}, {123214, 1}, {123216, 2},
	{123536, 1}, {123567, 2}, {123584, 1}, {123642, 2},
	{123647, 1}, {123648, 2}, {124112, 1}, {124154, 2},
	{124896, 1}, {124903, 2}, {124904, 1}, {124908, 2},
	{124909, 1}, {124911, 2}, {124912, 1}, {124927, 2},
	{124928, 1}, {125125, 2}, {125127, 1}, {125143, 2},
	{125184, 17946115}, {125185, 17946371}, {125186, 17946627}, {125187, 17946883},
	{125188, 17947139}, {125189, 17947395}, {125190, 17947651}, {125191, 17947907},
	{125192, 17948163}, {125193, 17948419}, {125194, 17948675}, {125195, 17948931},
	{125196, 17949187}, {125197, 17949443}, {125198, 17949699}, {125199, 17949955},
	{125200, 17950211}, {125201, 17950467}, {125202, 17950723}, {125203, 17950979},
	{125204, 17951235}, {125205, 17951491}, {125206, 17951747}, {125207, 17952003},
	{125208, 17952259}, {125209, 17952515}, {125210, 17952771}, {125211, 17953027},
	{125212, 17953283}, {125213, 17953539}, {125214, 17953795}, {125215, 17954051},
	{125216, 17954307}, {125217, 17954563}, {125218, 1}, {125260, 2},
	{125264, 1}, {125274, 2}, {125278, 1}, {125280, 2},
	{126065, 1}, {126133, 2}, {126209, 1}, {126270, 2},
	{126464, 16910339}, {126465, 17683715}, {126466, 17681923}, {126467, 17834499},
	{126468, 2}, {126469, 16910851}, {126470, 17731587}, {126471, 17682435},
	{126472, 17700099}, {126473, 16911875}, {126474, 17708803}, {126475, 17711107},
	{126476, 17682947}, {126477, 17718019}, {126478, 17694979}, {126479, 17701635},
	{126480, 17703683}, {126481, 17697027}, {126482, 17706755}, {126483, 17725187},
	{126484, 17745155}, {126485, 17686787}, {126486, 17689859}, {126487, 17684995},
	{126488, 17724675}, {126489, 17698051}, {126490, 17701123}, {126491, 17702659},
	{126492, 17954819}, {126493, 17673475}, {126494, 17955075}, {126495, 17955331},
	{126496, 2}, {126497, 17683715}, {126498, 17681923}, {126499, 2},
	{126500, 17721091}, {126501, 2}, {126503, 17682435}, {126504, 2},
	{126505, 16911875}, {126506, 17708803}, {126507, 17711107}, {126508, 17682947},
	{126509, 17718019}, {126510, 17694979}, {126511, 17701635}, {126512, 17703683},
	{126513, 17697027}, {126514, 17706755}, {126515, 2}, {126516, 17745155},
	{126517, 17686787}, {126518, 17689859}, {126519, 17684995}, {126520, 2},
	{126521, 17698051}, {126522, 2}, {126523, 17702659}, {126524, 2},
	{126530, 17681923}, {126531, 2}, {126535, 17682435}, {126536, 2},
	{126537, 16911875}, {126538, 2}, {126539, 17711107}, {126540, 2},
	{126541, 17718019}, {126542, 17694979}, {126543, 17701635}, {126544, 2},
	{126545, 17697027}, {126546, 17706755}, {126547, 2}, {126548, 17745155},
	{126549, 2}, {126551, 17684995}, {126552, 2}, {126553, 17698051},
	{126554, 2}, {126555, 17702659}, {126556, 2}, {126557, 17673475},
	{126558, 2}, {126559, 17955331}, {126560, 2}, {126561, 17683715},
	{126562, 17681923}, {126563, 2}, {126564, 17721091}, {126565, 2},
	{126567, 17682435}, {126568, 17700099}, {126569, 16911875}, {126570, 17708803},
	{126571, 2}, {126572, 17682947}, {126573, 17718019}, {126574, 17694979},
	{126575, 17701635}, {126576, 17703683}, {126577, 17697027}, {126578, 17706755},
	{126579, 2}, {126580, 17745155}, {126581, 17686787}, {126582, 17689859},
	{126583, 17684995}, {126584, 2}, {126585, 17698051}, {126586, 17701123},
	{126587, 17702659}, {126588, 17954819}, {126589, 2}, {126590, 17955075},
	{126591, 2}, {126592, 16910339}, {126593, 17683715}, {126594, 17681923},
	{126595, 17834499}, {126596, 17721091}, {126597, 16910851}, {126598, 17731587},
	{126599, 17682435}, {126600, 17700099}, {126601, 16911875}, {126602, 2},
	{126603, 17711107}, {126604, 17682947}, {126605, 17718019}, {126606, 17694979},
	{126607, 17701635}, {126608, 17703683}, {126609, 17697027}, {126610, 17706755},
	{126611, 17725187}, {126612, 17745155}, {126613, 17686787}, {126614, 17689859},
	{126615, 17684995}, {126616, 17724675}, {126617, 17698051}, {126618, 17701123},
	{126619, 17702659}, {126620, 2}, {126625, 17683715}, {126626, 17681923},
	{126627, 17834499}, {126628, 2}, {126629, 16910851}, {126630, 17731587},
	{126631, 17682435}, {126632, 17700099}, {126633, 16911875}, {126634, 2},
	{126635, 17711107}, {126636, 17682947}, {126637, 17718019}, {126638, 17694979},
	{126639, 17701635}, {126640, 17703683}, {126641, 17697027}, {126642, 17706755},
	{126643, 17725187}, {126644, 17745155}, {126645, 17686787}, {126646, 17689859},
	{126647, 17684995}, {126648, 17724675}, {126649, 17698051}, {126650, 17701123},
	{126651, 17702659}, {126652, 2}, {126704, 1}, {126706, 2},
	{126976, 1}, {127020, 2}, {127024, 1}, {127124, 2},
	{127136, 1}, {127151, 2}, {127153, 1}, {127168, 2},
	{127169, 1}, {127184, 2}, {127185, 1}, {127222, 2},
	{127233, 34732803}, {127234, 34733315}, {127235, 34733827}, {127236, 34734339},
	{127237, 34734851}, {127238, 34735363}, {127239, 34735875}, {127240, 34736387},
	{127241, 34736899}, {127242, 34737411}, {127243, 1}, {127248, 50644995},
	{127249, 50645763}, {127250, 50646531}, {127251, 50647299}, {127252, 50648067},
	{127253, 50648835}, {127254, 50649603}, {127255, 50650371}, {127256, 50651139},
	{127257, 50651907}, {127258, 50652675}, {127259, 50653443}, {127260, 50654211},
	{127261, 50654979}, {127262, 50655747}, {127263, 50656515}, {127264, 50657283},
	{127265, 50658051}, {127266, 50658819}, {127267, 50659587}, {127268, 50660355},
	{127269, 50661123}, {127270, 50661891}, {127271, 50662659}, {127272, 50663427},
	{127273, 50664195}, {127274, 51515139}, {127275, 16777731}, {127276, 16781571},
	{127277, 33554947}, {127278, 34738691}, {127279, 1}, {127280, 16777219},
	{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
      // 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/normalization_tables.cpp */
// IDNA  15.0.0

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

/**
 * Unicode Standard Annex #15
 *
 * UNICODE NORMALIZATION FORMS
 * https://www.unicode.org/reports/tr15/
 *
 * See https://github.com/uni-algo/uni-algo/blob/c612968c5ed3ace39bde4c894c24286c5f2c7fe2/include/uni_algo/impl/data/data_norm.h for reference.
 */

namespace ada::idna {

const uint8_t decomposition_index[4352] = {
    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,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    64, 65, 66, 7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,
    7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  7,  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 decomposition_block[67][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,
     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, 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, 3161, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168,
     3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168,
     3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168,
     3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168,
     3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168,
     3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168,
     3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168,
     3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168,
     3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168,
     3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168,
     3168, 3168, 3168, 3168, 3168},
    {3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168,
     3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168,
     3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3168, 3176,
     3184, 3192, 3200, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208,
     3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208,
     3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208,
     3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208,
     3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208,
     3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208,
     3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3208, 3209, 3217, 3225,
     3233, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240,
     3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240,
     3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240,
     3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240,
     3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240,
     3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240, 3240,
     3240, 3248, 3248, 3256, 3256, 3256, 3256, 3256, 3256, 3256, 3256, 3256,
     3256, 3256, 3256, 3256, 3256, 3256, 3256, 3256, 3264, 3264, 3264, 3264,
     3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264,
     3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264,
     3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264,
     3264, 3264, 3264, 3264, 3264},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264,
     3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264,
     3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264, 3264,
     3264, 3264, 3264, 3264, 3264, 3264, 3272, 3272, 3272, 3272, 3272, 3272,
     3272, 3272, 3280, 3280, 3280, 3288, 3288, 3288, 3288, 3288, 3288, 3288,
     3288, 3288, 3288, 3288, 3288, 3288, 3288, 3288, 3288, 3288, 3288, 3288,
     3288, 3288, 3288, 3288, 3288, 3288, 3288, 3288, 3288, 3288, 3288, 3288,
     3288, 3288, 3288, 3288, 3288, 3296, 3304, 3312, 3320, 3328, 3336, 3344,
     3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352,
     3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352,
     3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352,
     3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352,
     3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352,
     3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352,
     3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352,
     3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352,
     3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352, 3352,
     3360, 3368, 3368, 3368, 3368, 3368, 3368, 3368, 3368, 3368, 3368, 3368,
     3368, 3368, 3368, 3368, 3368, 3376, 3384, 3384, 3392, 3392, 3392, 3392,
     3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392,
     3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392,
     3392, 3392, 3392, 3392, 3392},
    {3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392,
     3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392,
     3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392,
     3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392, 3392,
     3392, 3392, 3392, 3392, 3400, 3400, 3400, 3408, 3408, 3408, 3408, 3408,
     3408, 3408, 3408, 3408, 3408, 3408, 3408, 3408, 3408, 3408, 3408, 3408,
     3408, 3408, 3408, 3408, 3408, 3408, 3408, 3408, 3408, 3408, 3408, 3408,
     3408, 3408, 3408, 3408, 3408, 3408, 3416, 3424, 3432, 3432, 3432, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440},
    {3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440, 3440,
     3440, 3448, 3448, 3448, 3456, 3464, 3464, 3464, 3464, 3464, 3464, 3464,
     3464, 3464, 3464, 3464, 3464, 3464, 3464, 3464, 3464, 3472, 3480, 3480,
     3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480,
     3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480,
     3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480,
     3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480, 3480,
     3480, 3480, 3480, 3480, 3480, 3488, 3488, 3488, 3488, 3488, 3488, 3488,
     3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488,
     3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488,
     3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488,
     3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3488, 3496,
     3504, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512,
     3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512,
     3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512,
     3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512,
     3512, 3512, 3512, 3512, 3512},
    {3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512,
     3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512,
     3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512,
     3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512,
     3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512,
     3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512, 3512,
     3512, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520,
     3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520,
     3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520,
     3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520,
     3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520,
     3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520,
     3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520,
     3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520,
     3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520,
     3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520, 3520,
     3520, 3528, 3528, 3528, 3528, 3528, 3528, 3528, 3536, 3544, 3544, 3552,
     3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564,
     3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564,
     3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564,
     3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564,
     3564, 3564, 3564, 3564, 3564},
    {3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564,
     3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564,
     3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564,
     3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564,
     3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564,
     3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564, 3564,
     3564, 3564, 3564, 3572, 3580, 3588, 3588, 3588, 3588, 3588, 3588, 3588,
     3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588,
     3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588,
     3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588,
     3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588,
     3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588,
     3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588,
     3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588,
     3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588,
     3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588,
     3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588,
     3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588, 3588,
     3588, 3588, 3588, 3596, 3596, 3604, 3616, 3624, 3624, 3624, 3624, 3624,
     3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624,
     3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624,
     3624, 3624, 3624, 3624, 3624},
    {3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624,
     3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624,
     3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624,
     3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624, 3624,
     3624, 3624, 3624, 3625, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632,
     3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632,
     3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632,
     3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632,
     3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632,
     3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632,
     3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632,
     3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632,
     3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632,
     3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632,
     3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3632, 3633,
     3640, 3640, 3640, 3640, 3640, 3640, 3640, 3640, 3640, 3640, 3640, 3640,
     3640, 3640, 3640, 3640, 3640, 3640, 3640, 3640, 3640, 3640, 3640, 3640,
     3640, 3640, 3640, 3640, 3640, 3640, 3640, 3640, 3640, 3640, 3640, 3640,
     3640, 3640, 3640, 3640, 3641, 3649, 3656, 3656, 3656, 3656, 3656, 3656,
     3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656,
     3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656,
     3656, 3656, 3656, 3656, 3656},
    {3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656, 3656,
     3657, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660,
     3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660,
     3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660,
     3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660,
     3660, 3660, 3660, 3660, 3660, 3660, 3660, 3660, 3668, 3668, 3668, 3668,
     3668, 3668, 3668, 3668, 3668, 3668, 3676, 3676, 3676, 3676, 3676, 3684,
     3684, 3684, 3684, 3684, 3692, 3692, 3692, 3692, 3692, 3700, 3700, 3700,
     3700, 3700, 3700, 3700, 3700, 3700, 3700, 3700, 3700, 3700, 3708, 3708,
     3708, 3708, 3708, 3708, 3708, 3708, 3708, 3708, 3716, 3716, 3724, 3733,
     3744, 3753, 3764, 3764, 3764, 3764, 3764, 3764, 3764, 3764, 3772, 3772,
     3772, 3772, 3772, 3772, 3772, 3772, 3772, 3772, 3772, 3772, 3772, 3772,
     3772, 3772, 3772, 3772, 3780, 3780, 3780, 3780, 3780, 3780, 3780, 3780,
     3780, 3780, 3788, 3788, 3788, 3788, 3788, 3796, 3796, 3796, 3796, 3796,
     3804, 3804, 3804, 3804, 3804, 3812, 3812, 3812, 3812, 3812, 3812, 3812,
     3812, 3812, 3812, 3812, 3812, 3812, 3820, 3820, 3820, 3820, 3820, 3820,
     3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820,
     3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820,
     3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820,
     3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820,
     3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820,
     3820, 3820, 3820, 3820, 3820},
    {3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820,
     3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820,
     3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820, 3820,
     3820, 3820, 3820, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828, 3828,
     3829, 3832, 3832, 3832, 3832},
    {3832, 3832, 3832, 3832, 3832, 3832, 3832, 3840, 3840, 3848, 3848, 3856,
     3856, 3864, 3864, 3872, 3872, 3872, 3872, 3880, 3880, 3880, 3880, 3880,
     3880, 3880, 3880, 3880, 3880, 3880, 3880, 3880, 3880, 3880, 3880, 3880,
     3880, 3880, 3880, 3880, 3880, 3880, 3880, 3880, 3880, 3880, 3880, 3880,
     3880, 3880, 3880, 3880, 3880, 3880, 3880, 3880, 3880, 3880, 3880, 3880,
     3888, 3888, 3896, 3896, 3896, 3904, 3912, 3912, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920},
    {3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920,
     3920, 3920, 3920, 3920, 3920, 3920, 3920, 3920, 3921, 3925, 3929, 3932,
     3933, 3937, 3941, 3945, 3949, 3953, 3957, 3961, 3965, 3969, 3973, 3976,
     3977, 3981, 3985, 3989, 3993, 3997, 4001, 4005, 4009, 4013, 4017, 4021,
     4025, 4029, 4033, 4037, 4041, 4045, 4048, 4049, 4053, 4057, 4061, 4065,
     4069, 4073, 4077, 4081, 4085, 4089, 4093, 4097, 4101, 4105, 4109, 4113,
     4117, 4121, 4125, 4129, 4133, 4137, 4141, 4145, 4149, 4153, 4157, 4160,
     4160, 4160, 4160, 4160, 4160, 4160, 4160, 4160, 4160, 4160, 4160, 4160,
     4161, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164,
     4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164,
     4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4164, 4165,
     4169, 4173, 4177, 4181, 4185, 4189, 4193, 4197, 4201, 4205, 4209, 4213,
     4217, 4221, 4225, 4229, 4233, 4237, 4241, 4245, 4249, 4253, 4257, 4261,
     4265, 4269, 4273, 4277, 4281, 4285, 4289, 4293, 4297, 4301, 4305, 4309,
     4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312,
     4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312,
     4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312,
     4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312,
     4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312, 4312,
     4312, 4312, 4312, 4312, 4312},
    {4312, 4320, 4328, 4336, 4344, 4352, 4360, 4368, 4376, 4388, 4400, 4408,
     4416, 4424, 4432, 4440, 4448, 4456, 4464, 4472, 4480, 4492, 4504, 4516,
     4528, 4536, 4544, 4552, 4560, 4572, 4584, 4592, 4600, 4608, 4616, 4624,
     4632, 4640, 4648, 4656, 4664, 4672, 4680, 4688, 4696, 4704, 4712, 4724,
     4736, 4744, 4752, 4760, 4768, 4776, 4784, 4792, 4800, 4812, 4824, 4832,
     4840, 4848, 4856, 4864, 4872, 4880, 4888, 4896, 4904, 4912, 4920, 4928,
     4936, 4944, 4952, 4960, 4968, 4980, 4992, 5004, 5016, 5028, 5040, 5052,
     5064, 5072, 5080, 5088, 5096, 5104, 5112, 5120, 5128, 5140, 5152, 5160,
     5168, 5176, 5184, 5192, 5200, 5212, 5224, 5236, 5248, 5260, 5272, 5280,
     5288, 5296, 5304, 5312, 5320, 5328, 5336, 5344, 5352, 5360, 5368, 5376,
     5384, 5396, 5408, 5420, 5432, 5440, 5448, 5456, 5464, 5472, 5480, 5488,
     5496, 5504, 5512, 5520, 5528, 5536, 5544, 5552, 5560, 5568, 5576, 5584,
     5592, 5600, 5608, 5616, 5624, 5632, 5640, 5648, 5656, 5664, 5673, 5682,
     5688, 5688, 5688, 5688, 5688, 5696, 5704, 5712, 5720, 5732, 5744, 5756,
     5768, 5780, 5792, 5804, 5816, 5828, 5840, 5852, 5864, 5876, 5888, 5900,
     5912, 5924, 5936, 5948, 5960, 5968, 5976, 5984, 5992, 6000, 6008, 6020,
     6032, 6044, 6056, 6068, 6080, 6092, 6104, 6116, 6128, 6136, 6144, 6152,
     6160, 6168, 6176, 6184, 6192, 6204, 6216, 6228, 6240, 6252, 6264, 6276,
     6288, 6300, 6312, 6324, 6336, 6348, 6360, 6372, 6384, 6396, 6408, 6420,
     6432, 6440, 6448, 6456, 6464, 6476, 6488, 6500, 6512, 6524, 6536, 6548,
     6560, 6572, 6584, 6592, 6600, 6608, 6616, 6624, 6632, 6640, 6648, 6648,
     6648, 6648, 6648, 6648, 6648},
    {6648, 6656, 6664, 6676, 6688, 6700, 6712, 6724, 6736, 6744, 6752, 6764,
     6776, 6788, 6800, 6812, 6824, 6832, 6840, 6852, 6864, 6876, 6888, 6888,
     6888, 6896, 6904, 6916, 6928, 6940, 6952, 6952, 6952, 6960, 6968, 6980,
     6992, 7004, 7016, 7028, 7040, 7048, 7056, 7068, 7080, 7092, 7104, 7116,
     7128, 7136, 7144, 7156, 7168, 7180, 7192, 7204, 7216, 7224, 7232, 7244,
     7256, 7268, 7280, 7292, 7304, 7312, 7320, 7332, 7344, 7356, 7368, 7368,
     7368, 7376, 7384, 7396, 7408, 7420, 7432, 7432, 7432, 7440, 7448, 7460,
     7472, 7484, 7496, 7508, 7520, 7520, 7528, 7528, 7540, 7540, 7552, 7552,
     7564, 7572, 7580, 7592, 7604, 7616, 7628, 7640, 7652, 7660, 7668, 7680,
     7692, 7704, 7716, 7728, 7740, 7748, 7756, 7764, 7772, 7780, 7788, 7796,
     7804, 7812, 7820, 7828, 7836, 7844, 7852, 7852, 7852, 7864, 7876, 7892,
     7908, 7924, 7940, 7956, 7972, 7984, 7996, 8012, 8028, 8044, 8060, 8076,
     8092, 8104, 8116, 8132, 8148, 8164, 8180, 8196, 8212, 8224, 8236, 8252,
     8268, 8284, 8300, 8316, 8332, 8344, 8356, 8372, 8388, 8404, 8420, 8436,
     8452, 8464, 8476, 8492, 8508, 8524, 8540, 8556, 8572, 8580, 8588, 8600,
     8608, 8620, 8620, 8628, 8640, 8648, 8656, 8664, 8672, 8681, 8688, 8693,
     8701, 8710, 8716, 8728, 8736, 8748, 8748, 8756, 8768, 8776, 8784, 8792,
     8800, 8810, 8818, 8826, 8832, 8840, 8848, 8860, 8872, 8872, 8872, 8880,
     8892, 8900, 8908, 8916, 8924, 8926, 8934, 8942, 8948, 8956, 8964, 8976,
     8988, 8996, 9004, 9012, 9024, 9032, 9040, 9048, 9056, 9066, 9074, 9080,
     9084, 9084, 9084, 9096, 9104, 9116, 9116, 9124, 9136, 9144, 9152, 9160,
     9168, 9178, 9181, 9188, 9190},
    {9190, 9194, 9197, 9201, 9205, 9209, 9213, 9217, 9221, 9225, 9229, 9232,
     9232, 9232, 9232, 9232, 9232, 9233, 9236, 9236, 9236, 9236, 9236, 9237,
     9244, 9244, 9244, 9244, 9244, 9244, 9244, 9244, 9244, 9244, 9244, 9244,
     9245, 9249, 9257, 9268, 9268, 9268, 9268, 9268, 9268, 9268, 9268, 9269,
     9272, 9272, 9272, 9273, 9281, 9292, 9293, 9301, 9312, 9312, 9312, 9312,
     9313, 9320, 9321, 9328, 9328, 9328, 9328, 9328, 9328, 9328, 9328, 9329,
     9337, 9345, 9352, 9352, 9352, 9352, 9352, 9352, 9352, 9352, 9352, 9352,
     9352, 9352, 9352, 9353, 9368, 9368, 9368, 9368, 9368, 9368, 9368, 9369,
     9372, 9372, 9372, 9372, 9372, 9372, 9372, 9372, 9372, 9372, 9372, 9372,
     9372, 9372, 9372, 9372, 9373, 9377, 9380, 9380, 9381, 9385, 9389, 9393,
     9397, 9401, 9405, 9409, 9413, 9417, 9421, 9425, 9429, 9433, 9437, 9441,
     9445, 9449, 9453, 9457, 9461, 9465, 9469, 9473, 9477, 9481, 9485, 9488,
     9489, 9493, 9497, 9501, 9505, 9509, 9513, 9517, 9521, 9525, 9529, 9533,
     9537, 9540, 9540, 9540, 9540, 9540, 9540, 9540, 9540, 9540, 9540, 9540,
     9541, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548,
     9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548,
     9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548,
     9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548,
     9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548,
     9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548,
     9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548, 9548,
     9548, 9548, 9548, 9548, 9549},
    {9549,  9561,  9573,  9577,  9584,  9585,  9597,  9609,  9612,  9613,
     9621,  9625,  9629,  9633,  9637,  9641,  9645,  9649,  9653,  9657,
     9660,  9661,  9665,  9672,  9672,  9673,  9677,  9681,  9685,  9689,
     9692,  9692,  9693,  9701,  9713,  9720,  9721,  9724,  9724,  9728,
     9729,  9732,  9732,  9736,  9745,  9749,  9752,  9753,  9757,  9761,
     9764,  9765,  9769,  9773,  9777,  9781,  9785,  9789,  9792,  9793,
     9805,  9809,  9813,  9817,  9821,  9824,  9824,  9824,  9824,  9825,
     9829,  9833,  9837,  9841,  9844,  9844,  9844,  9844,  9844,  9844,
     9845,  9857,  9869,  9885,  9897,  9909,  9921,  9933,  9945,  9957,
     9969,  9981,  9993,  10005, 10017, 10029, 10037, 10041, 10049, 10061,
     10069, 10073, 10081, 10093, 10109, 10117, 10121, 10129, 10141, 10145,
     10149, 10153, 10157, 10161, 10169, 10181, 10189, 10193, 10201, 10213,
     10229, 10237, 10241, 10249, 10261, 10265, 10269, 10273, 10276, 10276,
     10276, 10276, 10276, 10276, 10276, 10276, 10276, 10277, 10288, 10288,
     10288, 10288, 10288, 10288, 10288, 10288, 10288, 10288, 10288, 10288,
     10288, 10288, 10288, 10288, 10288, 10296, 10304, 10304, 10304, 10304,
     10304, 10304, 10304, 10304, 10304, 10304, 10304, 10304, 10304, 10304,
     10304, 10304, 10304, 10304, 10304, 10312, 10312, 10312, 10312, 10312,
     10312, 10312, 10312, 10312, 10312, 10312, 10312, 10312, 10312, 10312,
     10312, 10312, 10312, 10312, 10312, 10312, 10312, 10312, 10312, 10312,
     10312, 10312, 10312, 10312, 10312, 10312, 10320, 10328, 10336, 10336,
     10336, 10336, 10336, 10336, 10336, 10336, 10336, 10336, 10336, 10336,
     10336, 10336, 10336, 10336, 10336, 10336, 10336, 10336, 10336, 10336,
     10336, 10336, 10336, 10336, 10336, 10336, 10336, 10336, 10336, 10336,
     10336, 10336, 10336, 10336, 10336, 10336, 10336, 10336, 10336, 10336,
     10336, 10336, 10336, 10336, 10336, 10336, 10336},
    {10336, 10336, 10336, 10336, 10336, 10344, 10344, 10344, 10344, 10344,
     10352, 10352, 10352, 10360, 10360, 10360, 10360, 10360, 10360, 10360,
     10360, 10360, 10360, 10360, 10360, 10360, 10360, 10360, 10360, 10360,
     10360, 10360, 10360, 10360, 10360, 10360, 10360, 10368, 10368, 10376,
     10376, 10376, 10376, 10376, 10377, 10385, 10396, 10397, 10405, 10416,
     10416, 10416, 10416, 10416, 10416, 10416, 10416, 10416, 10416, 10416,
     10416, 10416, 10416, 10416, 10416, 10416, 10424, 10424, 10424, 10432,
     10432, 10432, 10440, 10440, 10448, 10448, 10448, 10448, 10448, 10448,
     10448, 10448, 10448, 10448, 10448, 10448, 10448, 10448, 10448, 10448,
     10448, 10448, 10448, 10448, 10448, 10448, 10448, 10456, 10456, 10464,
     10464, 10464, 10464, 10464, 10464, 10464, 10464, 10464, 10464, 10464,
     10472, 10480, 10488, 10496, 10504, 10504, 10504, 10512, 10520, 10520,
     10520, 10528, 10536, 10536, 10536, 10536, 10536, 10536, 10536, 10544,
     10552, 10552, 10552, 10560, 10568, 10568, 10568, 10576, 10584, 10584,
     10584, 10584, 10584, 10584, 10584, 10584, 10584, 10584, 10584, 10584,
     10584, 10584, 10584, 10584, 10584, 10584, 10584, 10584, 10584, 10584,
     10584, 10584, 10584, 10584, 10584, 10584, 10584, 10584, 10584, 10584,
     10584, 10584, 10584, 10592, 10600, 10608, 10616, 10616, 10616, 10616,
     10616, 10616, 10616, 10616, 10616, 10616, 10616, 10616, 10616, 10616,
     10616, 10616, 10616, 10616, 10616, 10616, 10616, 10616, 10616, 10616,
     10616, 10616, 10616, 10616, 10616, 10616, 10616, 10616, 10616, 10616,
     10616, 10616, 10616, 10616, 10616, 10616, 10616, 10616, 10616, 10616,
     10616, 10616, 10616, 10616, 10616, 10624, 10632, 10640, 10648, 10648,
     10648, 10648, 10648, 10648, 10648, 10656, 10664, 10672, 10680, 10680,
     10680, 10680, 10680, 10680, 10680, 10680, 10680, 10680, 10680, 10680,
     10680, 10680, 10680, 10680, 10680, 10680, 10680},
    {10680, 10680, 10680, 10680, 10680, 10680, 10680, 10680, 10680, 10680,
     10680, 10680, 10680, 10680, 10680, 10680, 10680, 10680, 10680, 10680,
     10680, 10680, 10680, 10680, 10680, 10680, 10680, 10680, 10680, 10680,
     10680, 10680, 10680, 10680, 10680, 10680, 10680, 10680, 10680, 10680,
     10680, 10680, 10684, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688},
    {10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688, 10688,
     10688, 10688, 10688, 10688, 10688, 10688, 10689, 10693, 10697, 10701,
     10705, 10709, 10713, 10717, 10721, 10725, 10733, 10741, 10749, 10757,
     10765, 10773, 10781, 10789, 10797, 10805, 10813, 10825, 10837, 10849,
     10861, 10873, 10885, 10897, 10909, 10921, 10937, 10953, 10969, 10985,
     11001, 11017, 11033, 11049, 11065, 11081, 11097, 11105, 11113, 11121,
     11129, 11137, 11145, 11153, 11161, 11169, 11181, 11193, 11205, 11217,
     11229, 11241, 11253, 11265, 11277, 11289, 11301, 11313, 11325, 11337,
     11349, 11361, 11373, 11385, 11397, 11409, 11421, 11433, 11445, 11457,
     11469, 11481, 11493, 11505, 11517, 11529, 11541, 11553, 11565, 11577,
     11589, 11601, 11613, 11617, 11621, 11625, 11629, 11633, 11637, 11641,
     11645, 11649, 11653, 11657, 11661, 11665, 11669, 11673, 11677, 11681,
     11685, 11689, 11693, 11697, 11701, 11705, 11709, 11713, 11717, 11721,
     11725, 11729, 11733, 11737, 11741, 11745, 11749, 11753, 11757, 11761,
     11765, 11769, 11773, 11777, 11781, 11785, 11789, 11793, 11797, 11801,
     11805, 11809, 11813, 11817, 11821, 11824, 11824, 11824, 11824, 11824,
     11824, 11824, 11824, 11824, 11824, 11824, 11824, 11824, 11824, 11824,
     11824, 11824, 11824, 11824, 11824, 11824, 11824},
    {11824, 11824, 11824, 11824, 11824, 11824, 11824, 11824, 11824, 11824,
     11824, 11824, 11825, 11840, 11840, 11840, 11840, 11840, 11840, 11840,
     11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840,
     11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840,
     11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840,
     11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840,
     11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840,
     11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840,
     11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840,
     11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840,
     11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840, 11840,
     11840, 11840, 11840, 11840, 11840, 11840, 11841, 11853, 11861, 11872,
     11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872,
     11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872,
     11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872,
     11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872,
     11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872,
     11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872,
     11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872,
     11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872,
     11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872,
     11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872, 11872,
     11872, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880,
     11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880,
     11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880,
     11880, 11880, 11880, 11880, 11880, 11880, 11880},
    {11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880,
     11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880,
     11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880,
     11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880,
     11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880,
     11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880,
     11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880,
     11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880,
     11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880,
     11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880,
     11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880,
     11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880, 11880,
     11880, 11880, 11880, 11880, 11881, 11885, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888},
    {11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888, 11888,
     11888, 11889, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892},
    {11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892,
     11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11892, 11893,
     11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896,
     11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896,
     11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896,
     11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896,
     11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896,
     11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896,
     11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896,
     11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896, 11896,
     11896, 11896, 11896, 11897, 11900, 11900, 11900, 11900, 11900, 11900,
     11900, 11900, 11900, 11900, 11900, 11900, 11901},
    {11901, 11905, 11909, 11913, 11917, 11921, 11925, 11929, 11933, 11937,
     11941, 11945, 11949, 11953, 11957, 11961, 11965, 11969, 11973, 11977,
     11981, 11985, 11989, 11993, 11997, 12001, 12005, 12009, 12013, 12017,
     12021, 12025, 12029, 12033, 12037, 12041, 12045, 12049, 12053, 12057,
     12061, 12065, 12069, 12073, 12077, 12081, 12085, 12089, 12093, 12097,
     12101, 12105, 12109, 12113, 12117, 12121, 12125, 12129, 12133, 12137,
     12141, 12145, 12149, 12153, 12157, 12161, 12165, 12169, 12173, 12177,
     12181, 12185, 12189, 12193, 12197, 12201, 12205, 12209, 12213, 12217,
     12221, 12225, 12229, 12233, 12237, 12241, 12245, 12249, 12253, 12257,
     12261, 12265, 12269, 12273, 12277, 12281, 12285, 12289, 12293, 12297,
     12301, 12305, 12309, 12313, 12317, 12321, 12325, 12329, 12333, 12337,
     12341, 12345, 12349, 12353, 12357, 12361, 12365, 12369, 12373, 12377,
     12381, 12385, 12389, 12393, 12397, 12401, 12405, 12409, 12413, 12417,
     12421, 12425, 12429, 12433, 12437, 12441, 12445, 12449, 12453, 12457,
     12461, 12465, 12469, 12473, 12477, 12481, 12485, 12489, 12493, 12497,
     12501, 12505, 12509, 12513, 12517, 12521, 12525, 12529, 12533, 12537,
     12541, 12545, 12549, 12553, 12557, 12561, 12565, 12569, 12573, 12577,
     12581, 12585, 12589, 12593, 12597, 12601, 12605, 12609, 12613, 12617,
     12621, 12625, 12629, 12633, 12637, 12641, 12645, 12649, 12653, 12657,
     12661, 12665, 12669, 12673, 12677, 12681, 12685, 12689, 12693, 12697,
     12701, 12705, 12709, 12713, 12717, 12721, 12725, 12729, 12733, 12737,
     12741, 12745, 12749, 12753, 12756, 12756, 12756, 12756, 12756, 12756,
     12756, 12756, 12756, 12756, 12756, 12756, 12756, 12756, 12756, 12756,
     12756, 12756, 12756, 12756, 12756, 12756, 12756, 12756, 12756, 12756,
     12756, 12756, 12756, 12756, 12756, 12756, 12756, 12756, 12756, 12756,
     12756, 12756, 12756, 12756, 12756, 12756, 12757},
    {12757, 12760, 12760, 12760, 12760, 12760, 12760, 12760, 12760, 12760,
     12760, 12760, 12760, 12760, 12760, 12760, 12760, 12760, 12760, 12760,
     12760, 12760, 12760, 12760, 12760, 12760, 12760, 12760, 12760, 12760,
     12760, 12760, 12760, 12760, 12760, 12760, 12760, 12760, 12760, 12760,
     12760, 12760, 12760, 12760, 12760, 12760, 12760, 12760, 12760, 12760,
     12760, 12760, 12760, 12760, 12761, 12764, 12765, 12769, 12773, 12776,
     12776, 12776, 12776, 12776, 12776, 12776, 12776, 12776, 12776, 12776,
     12776, 12776, 12776, 12776, 12776, 12776, 12776, 12784, 12784, 12792,
     12792, 12800, 12800, 12808, 12808, 12816, 12816, 12824, 12824, 12832,
     12832, 12840, 12840, 12848, 12848, 12856, 12856, 12864, 12864, 12872,
     12872, 12872, 12880, 12880, 12888, 12888, 12896, 12896, 12896, 12896,
     12896, 12896, 12896, 12904, 12912, 12912, 12920, 12928, 12928, 12936,
     12944, 12944, 12952, 12960, 12960, 12968, 12976, 12976, 12976, 12976,
     12976, 12976, 12976, 12976, 12976, 12976, 12976, 12976, 12976, 12976,
     12976, 12976, 12976, 12976, 12976, 12976, 12976, 12976, 12976, 12984,
     12984, 12984, 12984, 12984, 12984, 12985, 12993, 13000, 13000, 13009,
     13016, 13016, 13016, 13016, 13016, 13016, 13016, 13016, 13016, 13016,
     13016, 13016, 13016, 13024, 13024, 13032, 13032, 13040, 13040, 13048,
     13048, 13056, 13056, 13064, 13064, 13072, 13072, 13080, 13080, 13088,
     13088, 13096, 13096, 13104, 13104, 13112, 13112, 13112, 13120, 13120,
     13128, 13128, 13136, 13136, 13136, 13136, 13136, 13136, 13136, 13144,
     13152, 13152, 13160, 13168, 13168, 13176, 13184, 13184, 13192, 13200,
     13200, 13208, 13216, 13216, 13216, 13216, 13216, 13216, 13216, 13216,
     13216, 13216, 13216, 13216, 13216, 13216, 13216, 13216, 13216, 13216,
     13216, 13216, 13216, 13216, 13216, 13224, 13224, 13224, 13232, 13240,
     13248, 13256, 13256, 13256, 13256, 13265, 13272},
    {13272, 13272, 13272, 13272, 13272, 13272, 13272, 13272, 13272, 13272,
     13272, 13272, 13272, 13272, 13272, 13272, 13272, 13272, 13272, 13272,
     13272, 13272, 13272, 13272, 13272, 13272, 13272, 13272, 13272, 13272,
     13272, 13272, 13272, 13272, 13272, 13272, 13272, 13272, 13272, 13272,
     13272, 13272, 13272, 13272, 13272, 13272, 13272, 13272, 13272, 13273,
     13277, 13281, 13285, 13289, 13293, 13297, 13301, 13305, 13309, 13313,
     13317, 13321, 13325, 13329, 13333, 13337, 13341, 13345, 13349, 13353,
     13357, 13361, 13365, 13369, 13373, 13377, 13381, 13385, 13389, 13393,
     13397, 13401, 13405, 13409, 13413, 13417, 13421, 13425, 13429, 13433,
     13437, 13441, 13445, 13449, 13453, 13457, 13461, 13465, 13469, 13473,
     13477, 13481, 13485, 13489, 13493, 13497, 13501, 13505, 13509, 13513,
     13517, 13521, 13525, 13529, 13533, 13537, 13541, 13545, 13549, 13553,
     13557, 13561, 13565, 13569, 13573, 13577, 13581, 13585, 13589, 13593,
     13597, 13601, 13605, 13609, 13613, 13617, 13621, 13625, 13629, 13633,
     13637, 13641, 13645, 13648, 13648, 13648, 13649, 13653, 13657, 13661,
     13665, 13669, 13673, 13677, 13681, 13685, 13689, 13693, 13697, 13701,
     13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704,
     13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704,
     13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704,
     13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704,
     13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704,
     13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704,
     13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704,
     13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704,
     13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704, 13704,
     13704, 13704, 13704, 13704, 13704, 13704, 13705},
    {13705, 13717, 13729, 13741, 13753, 13765, 13777, 13789, 13801, 13813,
     13825, 13837, 13849, 13861, 13873, 13889, 13905, 13921, 13937, 13953,
     13969, 13985, 14001, 14017, 14033, 14049, 14065, 14081, 14097, 14113,
     14141, 14164, 14165, 14177, 14189, 14201, 14213, 14225, 14237, 14249,
     14261, 14273, 14285, 14297, 14309, 14321, 14333, 14345, 14357, 14369,
     14381, 14393, 14405, 14417, 14429, 14441, 14453, 14465, 14477, 14489,
     14501, 14513, 14525, 14537, 14549, 14561, 14573, 14585, 14597, 14601,
     14605, 14609, 14612, 14612, 14612, 14612, 14612, 14612, 14612, 14612,
     14613, 14625, 14633, 14641, 14649, 14657, 14665, 14673, 14681, 14689,
     14697, 14705, 14713, 14721, 14729, 14737, 14745, 14749, 14753, 14757,
     14761, 14765, 14769, 14773, 14777, 14781, 14785, 14789, 14793, 14797,
     14801, 14809, 14817, 14825, 14833, 14841, 14849, 14857, 14865, 14873,
     14881, 14889, 14897, 14905, 14913, 14933, 14949, 14956, 14957, 14961,
     14965, 14969, 14973, 14977, 14981, 14985, 14989, 14993, 14997, 15001,
     15005, 15009, 15013, 15017, 15021, 15025, 15029, 15033, 15037, 15041,
     15045, 15049, 15053, 15057, 15061, 15065, 15069, 15073, 15077, 15081,
     15085, 15089, 15093, 15097, 15101, 15105, 15109, 15113, 15117, 15121,
     15125, 15129, 15133, 15137, 15141, 15145, 15149, 15153, 15161, 15169,
     15177, 15185, 15193, 15201, 15209, 15217, 15225, 15233, 15241, 15249,
     15257, 15265, 15273, 15281, 15289, 15297, 15305, 15313, 15321, 15329,
     15337, 15345, 15357, 15369, 15381, 15389, 15401, 15409, 15421, 15425,
     15429, 15433, 15437, 15441, 15445, 15449, 15453, 15457, 15461, 15465,
     15469, 15473, 15477, 15481, 15485, 15489, 15493, 15497, 15501, 15505,
     15509, 15513, 15517, 15521, 15525, 15529, 15533, 15537, 15541, 15545,
     15549, 15553, 15557, 15561, 15565, 15569, 15573, 15577, 15581, 15585,
     15589, 15593, 15597, 15601, 15605, 15609, 15617},
    {15617, 15637, 15653, 15673, 15685, 15705, 15717, 15729, 15753, 15769,
     15781, 15793, 15805, 15821, 15837, 15853, 15869, 15885, 15901, 15917,
     15941, 15949, 15973, 15997, 16017, 16033, 16057, 16081, 16097, 16109,
     16121, 16137, 16153, 16173, 16193, 16205, 16217, 16233, 16245, 16257,
     16265, 16273, 16285, 16297, 16321, 16337, 16357, 16381, 16397, 16409,
     16421, 16445, 16461, 16485, 16497, 16517, 16529, 16545, 16557, 16573,
     16593, 16609, 16629, 16645, 16653, 16673, 16685, 16697, 16713, 16725,
     16737, 16749, 16769, 16785, 16793, 16817, 16829, 16849, 16865, 16881,
     16893, 16905, 16921, 16929, 16945, 16965, 16973, 16997, 17009, 17017,
     17025, 17033, 17041, 17049, 17057, 17065, 17073, 17081, 17089, 17101,
     17113, 17125, 17137, 17149, 17161, 17173, 17185, 17197, 17209, 17221,
     17233, 17245, 17257, 17269, 17281, 17289, 17297, 17309, 17317, 17325,
     17333, 17345, 17357, 17365, 17373, 17381, 17389, 17397, 17413, 17421,
     17429, 17437, 17445, 17453, 17461, 17469, 17477, 17489, 17505, 17513,
     17521, 17529, 17537, 17545, 17553, 17561, 17573, 17585, 17597, 17609,
     17617, 17625, 17633, 17641, 17649, 17657, 17665, 17673, 17681, 17689,
     17701, 17713, 17721, 17733, 17745, 17757, 17765, 17777, 17789, 17805,
     17813, 17825, 17837, 17849, 17861, 17881, 17905, 17913, 17921, 17929,
     17937, 17945, 17953, 17961, 17969, 17977, 17985, 17993, 18001, 18009,
     18017, 18025, 18033, 18041, 18049, 18065, 18073, 18081, 18089, 18105,
     18117, 18125, 18133, 18141, 18149, 18157, 18165, 18173, 18181, 18189,
     18197, 18209, 18217, 18225, 18237, 18249, 18257, 18273, 18285, 18293,
     18301, 18309, 18317, 18329, 18341, 18349, 18357, 18365, 18373, 18381,
     18389, 18397, 18405, 18413, 18425, 18437, 18449, 18461, 18473, 18485,
     18497, 18509, 18521, 18533, 18545, 18557, 18569, 18581, 18593, 18605,
     18617, 18629, 18641, 18653, 18665, 18677, 18688},
    {18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688,
     18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688,
     18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688,
     18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688,
     18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688,
     18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688,
     18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688,
     18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688,
     18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688,
     18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688,
     18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688,
     18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688,
     18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688,
     18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688,
     18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688, 18688,
     18688, 18688, 18688, 18688, 18688, 18688, 18689, 18693, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696},
    {18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696, 18696,
     18696, 18696, 18697, 18700, 18700, 18700, 18700, 18700, 18700, 18700,
     18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700,
     18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700,
     18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700,
     18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700,
     18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700,
     18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700,
     18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700,
     18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700,
     18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700,
     18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700,
     18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700,
     18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700, 18700,
     18700, 18700, 18701, 18705, 18709, 18712, 18712, 18712, 18713, 18717,
     18720, 18720, 18720, 18720, 18720, 18720, 18720},
    {18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720,
     18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720,
     18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720,
     18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720,
     18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720,
     18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720,
     18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720,
     18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720,
     18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720, 18720,
     18720, 18720, 18721, 18725, 18729, 18733, 18736, 18736, 18736, 18736,
     18736, 18736, 18736, 18736, 18736, 18737, 18740, 18740, 18740, 18740,
     18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740,
     18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740,
     18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740,
     18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740,
     18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740,
     18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740,
     18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740,
     18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740,
     18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740,
     18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740,
     18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740,
     18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740,
     18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740,
     18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740, 18740,
     18740, 18740, 18740, 18740, 18740, 18740, 18740},
    {18740, 18744, 18748, 18752, 18756, 18760, 18764, 18768, 18772, 18776,
     18780, 18784, 18788, 18792, 18796, 18800, 18804, 18808, 18812, 18816,
     18820, 18824, 18828, 18832, 18836, 18840, 18844, 18848, 18852, 18856,
     18860, 18864, 18868, 18872, 18876, 18880, 18884, 18888, 18892, 18896,
     18900, 18904, 18908, 18912, 18916, 18920, 18924, 18928, 18932, 18936,
     18940, 18944, 18948, 18952, 18956, 18960, 18964, 18968, 18972, 18976,
     18980, 18984, 18988, 18992, 18996, 19000, 19004, 19008, 19012, 19016,
     19020, 19024, 19028, 19032, 19036, 19040, 19044, 19048, 19052, 19056,
     19060, 19064, 19068, 19072, 19076, 19080, 19084, 19088, 19092, 19096,
     19100, 19104, 19108, 19112, 19116, 19120, 19124, 19128, 19132, 19136,
     19140, 19144, 19148, 19152, 19156, 19160, 19164, 19168, 19172, 19176,
     19180, 19184, 19188, 19192, 19196, 19200, 19204, 19208, 19212, 19216,
     19220, 19224, 19228, 19232, 19236, 19240, 19244, 19248, 19252, 19256,
     19260, 19264, 19268, 19272, 19276, 19280, 19284, 19288, 19292, 19296,
     19300, 19304, 19308, 19312, 19316, 19320, 19324, 19328, 19332, 19336,
     19340, 19344, 19348, 19352, 19356, 19360, 19364, 19368, 19372, 19376,
     19380, 19384, 19388, 19392, 19396, 19400, 19404, 19408, 19412, 19416,
     19420, 19424, 19428, 19432, 19436, 19440, 19444, 19448, 19452, 19456,
     19460, 19464, 19468, 19472, 19476, 19480, 19484, 19488, 19492, 19496,
     19500, 19504, 19508, 19512, 19516, 19520, 19524, 19528, 19532, 19536,
     19540, 19544, 19548, 19552, 19556, 19560, 19564, 19568, 19572, 19576,
     19580, 19584, 19588, 19592, 19596, 19600, 19604, 19608, 19612, 19616,
     19620, 19624, 19628, 19632, 19636, 19640, 19644, 19648, 19652, 19656,
     19660, 19664, 19668, 19672, 19676, 19680, 19684, 19688, 19692, 19696,
     19700, 19704, 19708, 19712, 19716, 19720, 19724, 19728, 19732, 19736,
     19740, 19744, 19748, 19752, 19756, 19760, 19764},
    {19764, 19768, 19772, 19776, 19780, 19784, 19788, 19792, 19796, 19800,
     19804, 19808, 19812, 19816, 19820, 19820, 19820, 19824, 19824, 19828,
     19828, 19828, 19832, 19836, 19840, 19844, 19848, 19852, 19856, 19860,
     19864, 19868, 19868, 19872, 19872, 19876, 19876, 19876, 19880, 19884,
     19884, 19884, 19884, 19888, 19892, 19896, 19900, 19904, 19908, 19912,
     19916, 19920, 19924, 19928, 19932, 19936, 19940, 19944, 19948, 19952,
     19956, 19960, 19964, 19968, 19972, 19976, 19980, 19984, 19988, 19992,
     19996, 20000, 20004, 20008, 20012, 20016, 20020, 20024, 20028, 20032,
     20036, 20040, 20044, 20048, 20052, 20056, 20060, 20064, 20068, 20072,
     20076, 20080, 20084, 20088, 20092, 20096, 20100, 20104, 20108, 20112,
     20116, 20120, 20124, 20128, 20132, 20136, 20140, 20144, 20148, 20152,
     20156, 20156, 20156, 20160, 20164, 20168, 20172, 20176, 20180, 20184,
     20188, 20192, 20196, 20200, 20204, 20208, 20212, 20216, 20220, 20224,
     20228, 20232, 20236, 20240, 20244, 20248, 20252, 20256, 20260, 20264,
     20268, 20272, 20276, 20280, 20284, 20288, 20292, 20296, 20300, 20304,
     20308, 20312, 20316, 20320, 20324, 20328, 20332, 20336, 20340, 20344,
     20348, 20352, 20356, 20360, 20364, 20368, 20372, 20376, 20380, 20384,
     20388, 20392, 20396, 20400, 20404, 20408, 20412, 20416, 20420, 20424,
     20428, 20432, 20436, 20440, 20444, 20448, 20452, 20456, 20460, 20464,
     20468, 20472, 20476, 20480, 20484, 20488, 20492, 20496, 20500, 20504,
     20508, 20512, 20516, 20520, 20524, 20528, 20532, 20536, 20540, 20544,
     20548, 20552, 20556, 20560, 20564, 20568, 20572, 20576, 20580, 20580,
     20580, 20580, 20580, 20580, 20580, 20580, 20580, 20580, 20580, 20580,
     20580, 20580, 20580, 20580, 20580, 20580, 20580, 20580, 20580, 20580,
     20580, 20580, 20580, 20580, 20580, 20580, 20580, 20580, 20580, 20580,
     20580, 20580, 20580, 20580, 20580, 20580, 20581},
    {20581, 20589, 20597, 20605, 20617, 20629, 20637, 20644, 20644, 20644,
     20644, 20644, 20644, 20644, 20644, 20644, 20644, 20644, 20644, 20645,
     20653, 20661, 20669, 20677, 20684, 20684, 20684, 20684, 20684, 20684,
     20692, 20692, 20701, 20705, 20709, 20713, 20717, 20721, 20725, 20729,
     20733, 20737, 20740, 20748, 20756, 20768, 20780, 20788, 20796, 20804,
     20812, 20820, 20828, 20836, 20844, 20852, 20852, 20860, 20868, 20876,
     20884, 20892, 20892, 20900, 20900, 20908, 20916, 20916, 20924, 20932,
     20932, 20940, 20948, 20956, 20964, 20972, 20980, 20988, 20996, 21005,
     21013, 21017, 21021, 21025, 21029, 21033, 21037, 21041, 21045, 21049,
     21053, 21057, 21061, 21065, 21069, 21073, 21077, 21081, 21085, 21089,
     21093, 21097, 21101, 21105, 21109, 21113, 21117, 21121, 21125, 21129,
     21133, 21137, 21141, 21145, 21149, 21153, 21157, 21161, 21165, 21169,
     21173, 21177, 21181, 21185, 21189, 21193, 21197, 21201, 21205, 21209,
     21213, 21217, 21221, 21225, 21229, 21233, 21237, 21241, 21245, 21249,
     21253, 21257, 21261, 21265, 21269, 21273, 21277, 21281, 21285, 21289,
     21293, 21297, 21301, 21305, 21309, 21313, 21317, 21321, 21325, 21329,
     21333, 21337, 21341, 21345, 21349, 21357, 21365, 21369, 21373, 21377,
     21381, 21385, 21389, 21393, 21397, 21401, 21405, 21413, 21420, 21420,
     21420, 21420, 21420, 21420, 21420, 21420, 21420, 21420, 21420, 21420,
     21420, 21420, 21420, 21420, 21420, 21420, 21420, 21420, 21420, 21420,
     21420, 21420, 21420, 21420, 21420, 21420, 21420, 21420, 21420, 21420,
     21420, 21421, 21425, 21429, 21433, 21437, 21441, 21445, 21449, 21453,
     21457, 21461, 21469, 21473, 21477, 21481, 21485, 21489, 21493, 21497,
     21501, 21505, 21509, 21513, 21517, 21529, 21541, 21553, 21565, 21577,
     21589, 21601, 21613, 21625, 21637, 21649, 21661, 21673, 21685, 21697,
     21709, 21721, 21733, 21737, 21741, 21745, 21749},
    {21749, 21761, 21773, 21785, 21797, 21809, 21817, 21825, 21833, 21841,
     21849, 21857, 21865, 21873, 21881, 21889, 21897, 21905, 21913, 21921,
     21929, 21937, 21945, 21953, 21961, 21969, 21977, 21985, 21993, 22001,
     22009, 22017, 22025, 22033, 22041, 22049, 22057, 22065, 22073, 22081,
     22089, 22097, 22105, 22113, 22121, 22129, 22137, 22145, 22153, 22161,
     22169, 22177, 22185, 22193, 22201, 22209, 22217, 22225, 22233, 22241,
     22249, 22257, 22265, 22273, 22281, 22289, 22297, 22305, 22313, 22321,
     22329, 22337, 22345, 22353, 22361, 22369, 22377, 22385, 22393, 22401,
     22409, 22417, 22425, 22433, 22441, 22449, 22457, 22465, 22473, 22481,
     22489, 22497, 22505, 22513, 22521, 22533, 22545, 22557, 22569, 22581,
     22593, 22605, 22617, 22629, 22641, 22653, 22665, 22673, 22681, 22689,
     22697, 22705, 22713, 22721, 22729, 22737, 22745, 22753, 22761, 22769,
     22777, 22785, 22793, 22801, 22809, 22817, 22825, 22833, 22841, 22849,
     22857, 22865, 22873, 22881, 22889, 22897, 22905, 22913, 22921, 22929,
     22937, 22945, 22953, 22961, 22969, 22977, 22985, 22993, 23001, 23009,
     23017, 23025, 23037, 23049, 23061, 23073, 23085, 23093, 23101, 23109,
     23117, 23125, 23133, 23141, 23149, 23157, 23165, 23173, 23181, 23189,
     23197, 23205, 23213, 23221, 23229, 23237, 23245, 23253, 23261, 23269,
     23277, 23285, 23293, 23301, 23309, 23317, 23325, 23333, 23341, 23349,
     23357, 23365, 23373, 23381, 23389, 23397, 23405, 23413, 23421, 23429,
     23437, 23445, 23453, 23461, 23469, 23477, 23485, 23493, 23501, 23509,
     23517, 23525, 23533, 23541, 23549, 23557, 23565, 23573, 23581, 23589,
     23597, 23605, 23613, 23621, 23633, 23645, 23653, 23661, 23669, 23677,
     23685, 23693, 23701, 23709, 23717, 23725, 23733, 23741, 23749, 23757,
     23765, 23773, 23781, 23793, 23805, 23817, 23825, 23833, 23841, 23849,
     23857, 23865, 23873, 23881, 23889, 23897, 23905},
    {23905, 23913, 23921, 23929, 23937, 23945, 23953, 23961, 23969, 23977,
     23985, 23993, 24001, 24009, 24017, 24025, 24033, 24041, 24049, 24057,
     24065, 24073, 24081, 24089, 24097, 24105, 24113, 24121, 24129, 24137,
     24145, 24153, 24161, 24169, 24177, 24185, 24193, 24201, 24209, 24217,
     24225, 24233, 24241, 24249, 24257, 24265, 24273, 24281, 24289, 24297,
     24305, 24313, 24321, 24329, 24337, 24345, 24353, 24361, 24369, 24377,
     24385, 24393, 24400, 24400, 24400, 24400, 24400, 24400, 24400, 24400,
     24400, 24400, 24400, 24400, 24400, 24400, 24400, 24400, 24400, 24400,
     24401, 24413, 24425, 24437, 24449, 24461, 24473, 24485, 24497, 24509,
     24521, 24533, 24545, 24557, 24569, 24581, 24593, 24605, 24617, 24629,
     24641, 24653, 24665, 24677, 24689, 24701, 24713, 24725, 24737, 24749,
     24761, 24773, 24785, 24797, 24809, 24821, 24833, 24845, 24857, 24869,
     24881, 24893, 24905, 24917, 24929, 24941, 24953, 24965, 24977, 24989,
     25001, 25013, 25025, 25037, 25049, 25061, 25073, 25085, 25097, 25109,
     25121, 25133, 25145, 25157, 25168, 25168, 25169, 25181, 25193, 25205,
     25217, 25229, 25241, 25253, 25265, 25277, 25289, 25301, 25313, 25325,
     25337, 25349, 25361, 25373, 25385, 25397, 25409, 25421, 25433, 25445,
     25457, 25469, 25481, 25493, 25505, 25517, 25529, 25541, 25553, 25565,
     25577, 25589, 25601, 25613, 25625, 25637, 25649, 25661, 25673, 25685,
     25697, 25709, 25721, 25733, 25745, 25757, 25769, 25781, 25793, 25805,
     25816, 25816, 25816, 25816, 25816, 25816, 25816, 25816, 25816, 25816,
     25816, 25816, 25816, 25816, 25816, 25816, 25816, 25816, 25816, 25816,
     25816, 25816, 25816, 25816, 25816, 25816, 25816, 25816, 25816, 25816,
     25816, 25816, 25816, 25816, 25816, 25816, 25816, 25816, 25816, 25816,
     25817, 25829, 25841, 25857, 25873, 25889, 25905, 25921, 25937, 25953,
     25965, 26037, 26069, 26084, 26084, 26084, 26084},
    {26084, 26084, 26084, 26084, 26084, 26084, 26084, 26084, 26084, 26084,
     26084, 26084, 26084, 26084, 26084, 26084, 26085, 26089, 26093, 26097,
     26101, 26105, 26109, 26113, 26117, 26121, 26132, 26132, 26132, 26132,
     26132, 26132, 26132, 26132, 26132, 26132, 26132, 26132, 26132, 26132,
     26132, 26132, 26132, 26132, 26132, 26132, 26132, 26132, 26133, 26141,
     26145, 26149, 26153, 26157, 26161, 26165, 26169, 26173, 26177, 26181,
     26185, 26189, 26193, 26197, 26201, 26205, 26209, 26213, 26217, 26220,
     26220, 26221, 26225, 26229, 26237, 26245, 26253, 26261, 26265, 26269,
     26273, 26277, 26281, 26284, 26285, 26289, 26293, 26297, 26301, 26305,
     26309, 26313, 26317, 26321, 26325, 26329, 26333, 26337, 26341, 26345,
     26349, 26353, 26357, 26360, 26361, 26365, 26369, 26373, 26376, 26376,
     26376, 26376, 26377, 26385, 26393, 26400, 26401, 26408, 26409, 26417,
     26425, 26433, 26441, 26449, 26457, 26465, 26473, 26481, 26489, 26493,
     26501, 26509, 26517, 26525, 26533, 26541, 26549, 26557, 26565, 26573,
     26581, 26589, 26593, 26597, 26601, 26605, 26609, 26613, 26617, 26621,
     26625, 26629, 26633, 26637, 26641, 26645, 26649, 26653, 26657, 26661,
     26665, 26669, 26673, 26677, 26681, 26685, 26689, 26693, 26697, 26701,
     26705, 26709, 26713, 26717, 26721, 26725, 26729, 26733, 26737, 26741,
     26745, 26749, 26753, 26757, 26761, 26765, 26769, 26773, 26777, 26781,
     26785, 26789, 26793, 26797, 26801, 26805, 26809, 26813, 26817, 26821,
     26825, 26829, 26833, 26837, 26841, 26845, 26849, 26853, 26857, 26861,
     26865, 26869, 26873, 26877, 26881, 26885, 26889, 26893, 26897, 26901,
     26905, 26909, 26913, 26917, 26921, 26925, 26929, 26933, 26937, 26941,
     26945, 26949, 26953, 26957, 26961, 26965, 26969, 26973, 26977, 26981,
     26985, 26989, 26993, 26997, 27001, 27005, 27017, 27029, 27041, 27053,
     27065, 27077, 27085, 27092, 27092, 27092, 27092},
    {27092, 27093, 27097, 27101, 27105, 27109, 27113, 27117, 27121, 27125,
     27129, 27133, 27137, 27141, 27145, 27149, 27153, 27157, 27161, 27165,
     27169, 27173, 27177, 27181, 27185, 27189, 27193, 27197, 27201, 27205,
     27209, 27213, 27217, 27221, 27225, 27229, 27233, 27237, 27241, 27245,
     27249, 27253, 27257, 27261, 27265, 27269, 27273, 27277, 27281, 27285,
     27289, 27293, 27297, 27301, 27305, 27309, 27313, 27317, 27321, 27325,
     27329, 27333, 27337, 27341, 27345, 27349, 27353, 27357, 27361, 27365,
     27369, 27373, 27377, 27381, 27385, 27389, 27393, 27397, 27401, 27405,
     27409, 27413, 27417, 27421, 27425, 27429, 27433, 27437, 27441, 27445,
     27449, 27453, 27457, 27461, 27465, 27469, 27473, 27477, 27481, 27485,
     27489, 27493, 27497, 27501, 27505, 27509, 27513, 27517, 27521, 27525,
     27529, 27533, 27537, 27541, 27545, 27549, 27553, 27557, 27561, 27565,
     27569, 27573, 27577, 27581, 27585, 27589, 27593, 27597, 27601, 27605,
     27609, 27613, 27617, 27621, 27625, 27629, 27633, 27637, 27641, 27645,
     27649, 27653, 27657, 27661, 27665, 27669, 27673, 27677, 27681, 27685,
     27689, 27693, 27697, 27701, 27705, 27709, 27713, 27717, 27721, 27725,
     27729, 27733, 27737, 27741, 27745, 27749, 27753, 27757, 27761, 27765,
     27769, 27773, 27777, 27781, 27785, 27789, 27793, 27797, 27801, 27805,
     27809, 27813, 27817, 27821, 27825, 27829, 27833, 27837, 27841, 27845,
     27849, 27852, 27852, 27852, 27853, 27857, 27861, 27865, 27869, 27873,
     27876, 27876, 27877, 27881, 27885, 27889, 27893, 27897, 27900, 27900,
     27901, 27905, 27909, 27913, 27917, 27921, 27924, 27924, 27925, 27929,
     27933, 27936, 27936, 27936, 27937, 27941, 27945, 27949, 27957, 27961,
     27965, 27968, 27969, 27973, 27977, 27981, 27985, 27989, 27993, 27996,
     27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996,
     27996, 27996, 27996, 27996, 27996, 27996, 27996},
    {27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996,
     27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996,
     27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996,
     27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996,
     27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996,
     27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996,
     27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996,
     27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996,
     27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996,
     27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996,
     27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996,
     27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996,
     27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27996, 27997,
     28001, 28005, 28009, 28013, 28016, 28017, 28021, 28025, 28029, 28033,
     28037, 28041, 28045, 28049, 28053, 28057, 28061, 28065, 28069, 28073,
     28077, 28081, 28085, 28089, 28093, 28097, 28101, 28105, 28109, 28113,
     28117, 28121, 28125, 28129, 28133, 28137, 28141, 28145, 28149, 28153,
     28157, 28161, 28165, 28169, 28173, 28177, 28181, 28184, 28185, 28189,
     28193, 28197, 28201, 28205, 28209, 28213, 28217, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220},
    {28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220, 28220,
     28220, 28220, 28220, 28220, 28220, 28228, 28228, 28236, 28236, 28236,
     28236, 28236, 28236, 28236, 28236, 28236, 28236, 28236, 28236, 28236,
     28236, 28236, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244,
     28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244,
     28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244,
     28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244,
     28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244,
     28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244,
     28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244,
     28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244,
     28244, 28244, 28244, 28244, 28244, 28244, 28244},
    {28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244,
     28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244,
     28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244,
     28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244, 28244,
     28244, 28244, 28244, 28244, 28244, 28244, 28244, 28252, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260},
    {28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260, 28260,
     28260, 28260, 28260, 28260, 28260, 28260, 28268, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276},
    {28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276,
     28276, 28276, 28276, 28276, 28276, 28276, 28276, 28276, 28284, 28292,
     28292, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300},
    {28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300, 28300,
     28300, 28300, 28300, 28300, 28300, 28300, 28300, 28308, 28316, 28316,
     28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316,
     28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316,
     28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316,
     28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316,
     28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316,
     28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316,
     28316, 28316, 28316, 28316, 28316, 28316, 28316},
    {28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316,
     28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316,
     28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316,
     28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316,
     28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316, 28316,
     28316, 28316, 28316, 28316, 28316, 28316, 28316, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324},
    {28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324, 28324,
     28324, 28324, 28324, 28324, 28324, 28332, 28340, 28352, 28364, 28376,
     28388, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400,
     28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400,
     28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400,
     28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400,
     28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400,
     28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400,
     28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400,
     28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400,
     28400, 28400, 28400, 28400, 28400, 28400, 28400, 28400, 28408, 28416,
     28428, 28440, 28452, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464},
    {28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464, 28464,
     28464, 28464, 28464, 28464, 28464, 28464, 28465},
    {28465, 28469, 28473, 28477, 28481, 28485, 28489, 28493, 28497, 28501,
     28505, 28509, 28513, 28517, 28521, 28525, 28529, 28533, 28537, 28541,
     28545, 28549, 28553, 28557, 28561, 28565, 28569, 28573, 28577, 28581,
     28585, 28589, 28593, 28597, 28601, 28605, 28609, 28613, 28617, 28621,
     28625, 28629, 28633, 28637, 28641, 28645, 28649, 28653, 28657, 28661,
     28665, 28669, 28673, 28677, 28681, 28685, 28689, 28693, 28697, 28701,
     28705, 28709, 28713, 28717, 28721, 28725, 28729, 28733, 28737, 28741,
     28745, 28749, 28753, 28757, 28761, 28765, 28769, 28773, 28777, 28781,
     28785, 28789, 28793, 28797, 28801, 28804, 28805, 28809, 28813, 28817,
     28821, 28825, 28829, 28833, 28837, 28841, 28845, 28849, 28853, 28857,
     28861, 28865, 28869, 28873, 28877, 28881, 28885, 28889, 28893, 28897,
     28901, 28905, 28909, 28913, 28917, 28921, 28925, 28929, 28933, 28937,
     28941, 28945, 28949, 28953, 28957, 28961, 28965, 28969, 28973, 28977,
     28981, 28985, 28989, 28993, 28997, 29001, 29005, 29009, 29013, 29017,
     29021, 29025, 29029, 29033, 29037, 29041, 29045, 29049, 29053, 29057,
     29061, 29065, 29069, 29073, 29077, 29081, 29085, 29088, 29089, 29093,
     29096, 29096, 29097, 29100, 29100, 29101, 29105, 29108, 29108, 29109,
     29113, 29117, 29121, 29124, 29125, 29129, 29133, 29137, 29141, 29145,
     29149, 29153, 29157, 29161, 29165, 29169, 29172, 29173, 29176, 29177,
     29181, 29185, 29189, 29193, 29197, 29201, 29204, 29205, 29209, 29213,
     29217, 29221, 29225, 29229, 29233, 29237, 29241, 29245, 29249, 29253,
     29257, 29261, 29265, 29269, 29273, 29277, 29281, 29285, 29289, 29293,
     29297, 29301, 29305, 29309, 29313, 29317, 29321, 29325, 29329, 29333,
     29337, 29341, 29345, 29349, 29353, 29357, 29361, 29365, 29369, 29373,
     29377, 29381, 29385, 29389, 29393, 29397, 29401, 29405, 29409, 29413,
     29417, 29421, 29425, 29429, 29433, 29437, 29441},
    {29441, 29445, 29449, 29453, 29457, 29461, 29464, 29465, 29469, 29473,
     29477, 29480, 29480, 29481, 29485, 29489, 29493, 29497, 29501, 29505,
     29509, 29512, 29513, 29517, 29521, 29525, 29529, 29533, 29537, 29540,
     29541, 29545, 29549, 29553, 29557, 29561, 29565, 29569, 29573, 29577,
     29581, 29585, 29589, 29593, 29597, 29601, 29605, 29609, 29613, 29617,
     29621, 29625, 29629, 29633, 29637, 29641, 29645, 29649, 29652, 29653,
     29657, 29661, 29665, 29668, 29669, 29673, 29677, 29681, 29685, 29688,
     29689, 29692, 29692, 29692, 29693, 29697, 29701, 29705, 29709, 29713,
     29717, 29720, 29721, 29725, 29729, 29733, 29737, 29741, 29745, 29749,
     29753, 29757, 29761, 29765, 29769, 29773, 29777, 29781, 29785, 29789,
     29793, 29797, 29801, 29805, 29809, 29813, 29817, 29821, 29825, 29829,
     29833, 29837, 29841, 29845, 29849, 29853, 29857, 29861, 29865, 29869,
     29873, 29877, 29881, 29885, 29889, 29893, 29897, 29901, 29905, 29909,
     29913, 29917, 29921, 29925, 29929, 29933, 29937, 29941, 29945, 29949,
     29953, 29957, 29961, 29965, 29969, 29973, 29977, 29981, 29985, 29989,
     29993, 29997, 30001, 30005, 30009, 30013, 30017, 30021, 30025, 30029,
     30033, 30037, 30041, 30045, 30049, 30053, 30057, 30061, 30065, 30069,
     30073, 30077, 30081, 30085, 30089, 30093, 30097, 30101, 30105, 30109,
     30113, 30117, 30121, 30125, 30129, 30133, 30137, 30141, 30145, 30149,
     30153, 30157, 30161, 30165, 30169, 30173, 30177, 30181, 30185, 30189,
     30193, 30197, 30201, 30205, 30209, 30213, 30217, 30221, 30225, 30229,
     30233, 30237, 30241, 30245, 30249, 30253, 30257, 30261, 30265, 30269,
     30273, 30277, 30281, 30285, 30289, 30293, 30297, 30301, 30305, 30309,
     30313, 30317, 30321, 30325, 30329, 30333, 30337, 30341, 30345, 30349,
     30353, 30357, 30361, 30365, 30369, 30373, 30377, 30381, 30385, 30389,
     30393, 30397, 30401, 30405, 30409, 30413, 30417},
    {30417, 30421, 30425, 30429, 30433, 30437, 30441, 30445, 30449, 30453,
     30457, 30461, 30465, 30469, 30473, 30477, 30481, 30485, 30489, 30493,
     30497, 30501, 30505, 30509, 30513, 30517, 30521, 30525, 30529, 30533,
     30537, 30541, 30545, 30549, 30553, 30557, 30561, 30565, 30569, 30573,
     30577, 30581, 30585, 30589, 30593, 30597, 30601, 30605, 30609, 30613,
     30617, 30621, 30625, 30629, 30633, 30637, 30641, 30645, 30649, 30653,
     30657, 30661, 30665, 30669, 30673, 30677, 30681, 30685, 30689, 30693,
     30697, 30701, 30705, 30709, 30713, 30717, 30721, 30725, 30729, 30733,
     30737, 30741, 30745, 30749, 30753, 30757, 30761, 30765, 30769, 30773,
     30777, 30781, 30785, 30789, 30793, 30797, 30801, 30805, 30809, 30813,
     30817, 30821, 30825, 30829, 30833, 30837, 30841, 30845, 30849, 30853,
     30857, 30861, 30865, 30869, 30873, 30877, 30881, 30885, 30889, 30893,
     30897, 30901, 30905, 30909, 30913, 30917, 30921, 30925, 30929, 30933,
     30937, 30941, 30945, 30949, 30953, 30957, 30961, 30965, 30969, 30973,
     30977, 30981, 30985, 30989, 30993, 30997, 31001, 31005, 31009, 31013,
     31017, 31021, 31025, 31029, 31033, 31037, 31041, 31045, 31049, 31053,
     31057, 31061, 31065, 31069, 31073, 31077, 31080, 31080, 31081, 31085,
     31089, 31093, 31097, 31101, 31105, 31109, 31113, 31117, 31121, 31125,
     31129, 31133, 31137, 31141, 31145, 31149, 31153, 31157, 31161, 31165,
     31169, 31173, 31177, 31181, 31185, 31189, 31193, 31197, 31201, 31205,
     31209, 31213, 31217, 31221, 31225, 31229, 31233, 31237, 31241, 31245,
     31249, 31253, 31257, 31261, 31265, 31269, 31273, 31277, 31281, 31285,
     31289, 31293, 31297, 31301, 31305, 31309, 31313, 31317, 31321, 31325,
     31329, 31333, 31337, 31341, 31345, 31349, 31353, 31357, 31361, 31365,
     31369, 31373, 31377, 31381, 31385, 31389, 31393, 31397, 31401, 31405,
     31409, 31413, 31417, 31421, 31425, 31429, 31433},
    {31433, 31437, 31441, 31445, 31449, 31453, 31457, 31461, 31465, 31469,
     31473, 31477, 31481, 31485, 31489, 31493, 31497, 31501, 31505, 31509,
     31513, 31517, 31521, 31525, 31529, 31533, 31537, 31541, 31545, 31549,
     31553, 31557, 31561, 31565, 31569, 31573, 31577, 31581, 31585, 31589,
     31593, 31597, 31601, 31605, 31609, 31613, 31617, 31621, 31625, 31629,
     31633, 31637, 31641, 31645, 31649, 31653, 31657, 31661, 31665, 31669,
     31673, 31677, 31681, 31685, 31689, 31693, 31697, 31701, 31705, 31709,
     31713, 31717, 31721, 31725, 31729, 31733, 31737, 31741, 31745, 31749,
     31753, 31757, 31761, 31765, 31769, 31773, 31777, 31781, 31785, 31789,
     31793, 31797, 31801, 31805, 31809, 31813, 31817, 31821, 31825, 31829,
     31833, 31837, 31841, 31845, 31849, 31853, 31857, 31861, 31865, 31869,
     31873, 31877, 31881, 31885, 31889, 31893, 31897, 31901, 31905, 31909,
     31913, 31917, 31921, 31925, 31929, 31933, 31937, 31941, 31945, 31949,
     31953, 31957, 31961, 31965, 31969, 31973, 31977, 31981, 31985, 31989,
     31993, 31997, 32001, 32005, 32009, 32013, 32017, 32021, 32025, 32029,
     32033, 32037, 32041, 32045, 32049, 32053, 32057, 32061, 32065, 32069,
     32073, 32077, 32081, 32085, 32089, 32093, 32097, 32101, 32105, 32109,
     32113, 32117, 32121, 32125, 32129, 32133, 32137, 32141, 32145, 32149,
     32153, 32157, 32161, 32165, 32169, 32173, 32177, 32181, 32185, 32189,
     32193, 32197, 32201, 32205, 32209, 32213, 32217, 32221, 32225, 32229,
     32233, 32237, 32241, 32245, 32248, 32248, 32249, 32253, 32257, 32261,
     32265, 32269, 32273, 32277, 32281, 32285, 32289, 32293, 32297, 32301,
     32305, 32309, 32313, 32317, 32321, 32325, 32329, 32333, 32337, 32341,
     32345, 32349, 32353, 32357, 32361, 32365, 32369, 32373, 32377, 32381,
     32385, 32389, 32393, 32397, 32401, 32405, 32409, 32413, 32417, 32421,
     32425, 32429, 32433, 32437, 32441, 32445, 32448},
    {32448, 32448, 32448, 32448, 32448, 32448, 32448, 32448, 32448, 32448,
     32448, 32448, 32448, 32448, 32448, 32448, 32448, 32448, 32448, 32448,
     32448, 32448, 32448, 32448, 32448, 32448, 32448, 32448, 32448, 32448,
     32448, 32448, 32448, 32448, 32448, 32448, 32448, 32448, 32448, 32448,
     32448, 32448, 32448, 32448, 32448, 32448, 32448, 32448, 32449, 32453,
     32457, 32461, 32465, 32469, 32473, 32477, 32481, 32485, 32489, 32493,
     32497, 32501, 32505, 32509, 32513, 32517, 32521, 32525, 32529, 32533,
     32537, 32541, 32545, 32549, 32553, 32557, 32561, 32565, 32569, 32573,
     32577, 32581, 32585, 32589, 32593, 32597, 32601, 32605, 32609, 32613,
     32617, 32621, 32625, 32629, 32633, 32637, 32641, 32645, 32649, 32653,
     32657, 32661, 32665, 32669, 32673, 32677, 32681, 32685, 32689, 32693,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696},
    {32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696, 32696,
     32696, 32696, 32696, 32696, 32696, 32696, 32697},
    {32697, 32701, 32705, 32709, 32712, 32713, 32717, 32721, 32725, 32729,
     32733, 32737, 32741, 32745, 32749, 32753, 32757, 32761, 32765, 32769,
     32773, 32777, 32781, 32785, 32789, 32793, 32797, 32801, 32805, 32809,
     32813, 32817, 32820, 32821, 32825, 32828, 32829, 32832, 32832, 32833,
     32836, 32837, 32841, 32845, 32849, 32853, 32857, 32861, 32865, 32869,
     32873, 32876, 32877, 32881, 32885, 32889, 32892, 32893, 32896, 32897,
     32900, 32900, 32900, 32900, 32900, 32900, 32901, 32904, 32904, 32904,
     32904, 32905, 32908, 32909, 32912, 32913, 32916, 32917, 32921, 32925,
     32928, 32929, 32933, 32936, 32937, 32940, 32940, 32941, 32944, 32945,
     32948, 32949, 32952, 32953, 32956, 32957, 32960, 32961, 32965, 32968,
     32969, 32972, 32972, 32973, 32977, 32981, 32985, 32988, 32989, 32993,
     32997, 33001, 33005, 33009, 33013, 33016, 33017, 33021, 33025, 33029,
     33032, 33033, 33037, 33041, 33045, 33048, 33049, 33052, 33053, 33057,
     33061, 33065, 33069, 33073, 33077, 33081, 33085, 33089, 33092, 33093,
     33097, 33101, 33105, 33109, 33113, 33117, 33121, 33125, 33129, 33133,
     33137, 33141, 33145, 33149, 33153, 33157, 33160, 33160, 33160, 33160,
     33160, 33161, 33165, 33169, 33172, 33173, 33177, 33181, 33185, 33189,
     33192, 33193, 33197, 33201, 33205, 33209, 33213, 33217, 33221, 33225,
     33229, 33233, 33237, 33241, 33245, 33249, 33253, 33257, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260},
    {33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260, 33260,
     33260, 33260, 33260, 33260, 33260, 33260, 33261},
    {33261, 33269, 33277, 33285, 33293, 33301, 33309, 33317, 33325, 33333,
     33341, 33348, 33348, 33348, 33348, 33348, 33349, 33361, 33373, 33385,
     33397, 33409, 33421, 33433, 33445, 33457, 33469, 33481, 33493, 33505,
     33517, 33529, 33541, 33553, 33565, 33577, 33589, 33601, 33613, 33625,
     33637, 33649, 33661, 33673, 33677, 33681, 33689, 33696, 33697, 33701,
     33705, 33709, 33713, 33717, 33721, 33725, 33729, 33733, 33737, 33741,
     33745, 33749, 33753, 33757, 33761, 33765, 33769, 33773, 33777, 33781,
     33785, 33789, 33793, 33797, 33801, 33809, 33817, 33825, 33833, 33845,
     33852, 33852, 33852, 33852, 33852, 33852, 33852, 33852, 33852, 33852,
     33852, 33852, 33852, 33852, 33852, 33852, 33852, 33852, 33852, 33852,
     33852, 33852, 33852, 33852, 33852, 33852, 33853, 33861, 33869, 33876,
     33876, 33876, 33876, 33876, 33876, 33876, 33876, 33876, 33876, 33876,
     33876, 33876, 33876, 33876, 33876, 33876, 33876, 33876, 33876, 33876,
     33876, 33876, 33876, 33876, 33876, 33876, 33876, 33876, 33876, 33876,
     33876, 33876, 33876, 33876, 33877, 33884, 33884, 33884, 33884, 33884,
     33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884,
     33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884,
     33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884,
     33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884,
     33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884,
     33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884,
     33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884,
     33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884,
     33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884,
     33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884, 33884,
     33884, 33884, 33884, 33884, 33884, 33884, 33885},
    {33885, 33893, 33901, 33904, 33904, 33904, 33904, 33904, 33904, 33904,
     33904, 33904, 33904, 33904, 33904, 33904, 33905, 33909, 33913, 33917,
     33925, 33929, 33933, 33937, 33941, 33945, 33949, 33953, 33957, 33961,
     33965, 33969, 33973, 33977, 33981, 33985, 33989, 33993, 33997, 34001,
     34005, 34009, 34013, 34017, 34021, 34025, 34029, 34033, 34037, 34041,
     34045, 34049, 34053, 34057, 34061, 34065, 34069, 34073, 34077, 34081,
     34084, 34084, 34084, 34084, 34085, 34097, 34109, 34121, 34133, 34145,
     34157, 34169, 34181, 34192, 34192, 34192, 34192, 34192, 34192, 34192,
     34193, 34197, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200},
    {34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200, 34200,
     34200, 34200, 34200, 34200, 34200, 34200, 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 decomposition_data[9102] = {
    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};

const uint8_t canonical_combining_class_index[4352] = {
    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,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,
    0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  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 canonical_combining_class_block[67][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,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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,   103, 103, 9,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     107, 107, 107, 107, 0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   118, 118, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   122, 122, 122, 122, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0},
    {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, 0,   0,   0, 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, 0,   220, 0,   216, 0, 0,
     0,   0, 0,   0,   0,   0,   0, 0, 0,   0,   0,   0,   0,   0, 0,
     0,   0, 0,   0,   0,   0,   0, 0, 0,   0,   0,   0,   0,   0, 0,
     0,   0, 0,   0,   0,   0,   0, 0, 0,   0,   0,   0,   0,   0, 0,
     0,   0, 0,   0,   0,   0,   0, 0, 129, 130, 0,   132, 0,   0, 0,
     0,   0, 130, 130, 130, 130, 0, 0, 130, 0,   230, 230, 9,   0, 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,   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, 0, 0, 0, 7, 0, 9, 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, 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, 0, 0, 0, 0, 0},
    {0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 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, 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, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 222, 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, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   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,   230, 230, 230,
     230, 230, 230, 230, 230, 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,   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, 220, 230, 230, 220, 0,   220, 220, 230, 230,
     220, 220, 230, 230, 230, 230, 230, 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,   0,   0,   0,   0,   0,   0,
     0},
    {0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,
     0,   0,   0, 0, 0, 0, 0, 0, 0, 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, 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, 230, 220, 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,   9,
     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,   7, 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,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   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,   0,   0,   0,
     0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0, 0, 0,   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, 0, 1, 220, 220, 220, 220, 220, 230, 230, 220, 220, 220, 220, 230,
     0,   1, 1, 1,   1,   1,   1,   1,   0,   0,   0,   0,   220, 0,   0,
     0,   0, 0, 0,   230, 0,   0,   0,   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,   230, 230, 220,
     230, 230, 230, 230, 230, 230, 230, 220, 230, 230, 234, 214, 220, 202, 230,
     230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230,
     230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230,
     230, 230, 230, 230, 230, 230, 232, 228, 228, 220, 218, 230, 233, 220, 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, 0, 0,   0,   0,   0,   0,   0,   0, 0,   0,   0,   0,   0,
     0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0, 0,   0,   0,   0,   0,
     0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0, 0,   0,   0,   0,   0,
     0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0, 0,   0,   0,   0,   0,
     0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0, 0,   0,   0,   0,   0,
     0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0, 0,   0,   0,   0,   0,
     0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0, 0,   0,   0,   0,   0,
     0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0, 0,   0,   0,   0,   0,
     0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0, 0,   0,   0,   0,   0,
     0,   0,   0, 0, 0,   0,   0,   0,   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, 1, 1, 230, 230, 230, 230, 1,   1,   1, 230, 230, 0,   0,   0,
     0,   230, 0, 0, 0,   1,   1,   230, 220, 230, 1, 1,   220, 220, 220, 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, 0, 0, 0, 0, 0, 0, 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,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   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,   230,
     230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230,
     230, 230, 230, 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, 218, 228, 232, 222, 224, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0,
     0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0},
    {0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0, 0, 0,   0,   0,   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, 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,   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,
     230, 230, 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,   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,   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,   230,
     230, 230, 230, 230, 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, 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, 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, 7, 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, 0,   0,   0,   0, 0, 0,   0,   0, 0, 0, 0, 0,
     0,   0,   0, 0,   0, 0,   0, 0,   0,   0,   0, 0, 0,   0,   0, 0, 0, 0, 0,
     0,   0,   0, 0,   0, 0,   0, 0,   0,   0,   0, 0, 0,   0,   0, 0, 0, 0, 0,
     0,   0,   0, 0,   0, 0,   0, 0,   0,   0,   0, 0, 0,   0,   0, 0, 0, 0, 0,
     0,   0,   0, 0,   0, 0,   0, 0,   0,   0,   0, 0, 0,   0,   0, 0, 0, 0, 0,
     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, 230, 230, 220, 0, 0, 230, 230, 0, 0, 0, 0, 0,
     230, 230, 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, 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, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0,  0, 0, 0, 0, 0, 0, 0, 0, 0},
    {0,   0,   0,   0,   0,   0,   0,   0,   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, 220, 220, 220, 220, 220,
     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,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0, 0, 0, 0, 0, 0, 0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 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, 220, 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,   230, 1, 220, 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,   0, 0, 0,   0, 0,   0,   0, 0,   0,
     0, 0, 0, 0, 0, 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, 0, 0, 0,   0, 0,   0,   0, 0,   0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0, 0, 0,   0, 0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,  0, 0, 0, 0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,  0, 0, 0, 0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,  0, 0, 0, 0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,  0, 0, 0, 0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,  0, 0, 0, 0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,  0, 0, 0, 0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,  0, 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, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,  0, 0, 0, 0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,  0, 0, 0, 0,   0,   0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 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,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 220, 220,
     230, 230, 230, 220, 230, 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,   230, 220, 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,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0,   0,
     0,   0,   0,   0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 9, 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, 9, 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},
    {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, 9, 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, 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, 9, 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, 0,
     0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0,   0,   0,   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 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, 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, 7, 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,   7,   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, 230, 230, 230, 230, 230, 230, 230, 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, 9, 0, 0, 0, 7,   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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,
     0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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,
     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, 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, 9, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 9, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 9, 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, 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, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     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, 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, 0, 0,
     0, 0, 0, 0, 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, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,   0,   0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {0,   0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0, 0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0, 0, 216, 216, 1,   1,   1,   0,   0,   0,   226, 216, 216,
     216, 216, 216, 0, 0, 0,   0,   0,   0,   0,   0,   220, 220, 220, 220, 220,
     220, 220, 220, 0, 0, 230, 230, 230, 230, 230, 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,   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,
     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},
    {230, 230, 230, 230, 230, 230, 230, 0,   230, 230, 230, 230, 230, 230, 230,
     230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 0,   0,   230, 230, 230,
     230, 230, 230, 230, 0,   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,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   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,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
     0},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   0,   0,   0,   0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   0,   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, 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, 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 composition_index[4352] = {
    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 composition_block[67][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,
     1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263,
     1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1265, 1267, 1267,
     1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267,
     1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267,
     1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267,
     1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267,
     1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267,
     1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267,
     1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267,
     1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267,
     1267, 1269, 1271, 1271, 1271, 1271, 1271, 1271, 1271, 1271, 1271, 1271,
     1271, 1271, 1271, 1271, 1271, 1273, 1275, 1275, 1275, 1275, 1275, 1275,
     1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275,
     1275, 1275, 1275, 1275, 1275},
    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
     0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275,
     1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275,
     1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275, 1275,
     1275, 1275, 1275, 1275, 1281, 1281, 1281, 1281, 1281, 1281, 1281, 1281,
     1281, 1281, 1281, 1281, 1281, 1281, 1281, 1281, 1281, 1281, 1281, 1281,
     1281, 1281, 1281, 1281, 1281, 1281, 1281, 1281, 1281, 1281, 1281, 1281,
     1281, 1283, 1283, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285,
     1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285,
     1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285,
     1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285,
     1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285,
     1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285,
     1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285,
     1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285,
     1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285,
     1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285,
     1285, 1285, 1287, 1287, 1287, 1287, 1287, 1287, 1287, 1287, 1287, 1287,
     1287, 1287, 1287, 1287, 1287, 1287, 1287, 1289, 1289, 1289, 1291, 1291,
     1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291,
     1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291,
     1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291,
     1291, 1291, 1291, 1291, 1291},
    {1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291,
     1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291,
     1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291,
     1291, 1291, 1291, 1291, 1291, 1293, 1293, 1293, 1293, 1293, 1293, 1293,
     1293, 1295, 1295, 1295, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297,
     1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297,
     1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297,
     1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297,
     1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297,
     1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297,
     1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297,
     1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297,
     1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297,
     1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297,
     1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297,
     1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297,
     1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1301, 1301, 1301, 1301,
     1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301,
     1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301,
     1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301,
     1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301,
     1301, 1301, 1301, 1301, 1301},
    {1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301,
     1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301,
     1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301,
     1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301,
     1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301,
     1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301,
     1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307,
     1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307,
     1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307,
     1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307,
     1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307,
     1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307,
     1307, 1307, 1307, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309,
     1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309,
     1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309,
     1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309,
     1309, 1309, 1309, 1309, 1309, 1309, 1309, 1313, 1315, 1315, 1315, 1315,
     1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315,
     1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315,
     1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315,
     1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315,
     1315, 1315, 1315, 1315, 1315},
    {1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315,
     1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315,
     1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315,
     1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315,
     1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315,
     1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1317,
     1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317,
     1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317,
     1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317,
     1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317,
     1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317,
     1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317,
     1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317,
     1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317,
     1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317,
     1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317,
     1319, 1319, 1319, 1319, 1319, 1319, 1319, 1325, 1325, 1325, 1325, 1327,
     1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327,
     1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327,
     1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327,
     1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327,
     1327, 1327, 1327, 1327, 1327},
    {1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327,
     1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327,
     1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327,
     1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327,
     1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327,
     1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1327, 1331,
     1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333,
     1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333,
     1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333,
     1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333,
     1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333,
     1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333,
     1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333,
     1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333,
     1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333,
     1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333,
     1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333,
     1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333, 1333,
     1333, 1333, 1339, 1339, 1339, 1341, 1341, 1341, 1341, 1341, 1341, 1341,
     1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341,
     1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341,
     1341, 1341, 1341, 1341, 1341},
    {1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341,
     1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341,
     1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341, 1341,
     1341, 1341, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343, 1343,
     1343, 1343, 1343, 1343, 1343},
    {1343, 1343, 1343, 1343, 1343, 1343, 1345, 1345, 1347, 1347, 1349, 1349,
     1351, 1351, 1353, 1353, 1353, 1353, 1355, 1355, 1355, 1355, 1355, 1355,
     1355, 1355, 1355, 1355, 1355, 1355, 1355, 1355, 1355, 1355, 1355, 1355,
     1355, 1355, 1355, 1355, 1355, 1355, 1355, 1355, 1355, 1355, 1355, 1355,
     1355, 1355, 1355, 1355, 1355, 1355, 1355, 1355, 1355, 1355, 1355, 1357,
     1357, 1359, 1359, 1361, 1363, 1363, 1363, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365},
    {1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365, 1365,
     1365, 1365, 1365, 1365, 1365, 1365, 1365, 1367, 1369, 1369, 1369, 1369,
     1369, 1369, 1369, 1369, 1369, 1369, 1369, 1369, 1369, 1369, 1369, 1369,
     1369, 1369, 1369, 1369, 1369, 1369, 1369, 1369, 1369, 1369, 1369, 1369,
     1369, 1369, 1369, 1369, 1369, 1369, 1369, 1371, 1373, 1373, 1373, 1373,
     1373, 1373, 1373, 1375, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377,
     1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377,
     1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377,
     1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377,
     1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377, 1377,
     1377, 1377, 1377, 1377, 1377, 1381, 1385, 1385, 1385, 1385, 1385, 1385,
     1385, 1385, 1385, 1385, 1385, 1385, 1385, 1385, 1385, 1385, 1385, 1385,
     1385, 1385, 1385, 1385, 1385, 1387, 1389, 1389, 1389, 1389, 1389, 1389,
     1389, 1389, 1389, 1389, 1389, 1389, 1389, 1389, 1389, 1389, 1389, 1389,
     1389, 1391, 1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393,
     1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393,
     1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393,
     1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393, 1393,
     1393, 1393, 1393, 1393, 1393},
    {1393, 1401, 1409, 1411, 1413, 1415, 1417, 1419, 1421, 1429, 1437, 1439,
     1441, 1443, 1445, 1447, 1449, 1453, 1457, 1457, 1457, 1457, 1457, 1457,
     1457, 1461, 1465, 1465, 1465, 1465, 1465, 1465, 1465, 1473, 1481, 1483,
     1485, 1487, 1489, 1491, 1493, 1501, 1509, 1511, 1513, 1515, 1517, 1519,
     1521, 1527, 1533, 1533, 1533, 1533, 1533, 1533, 1533, 1539, 1545, 1545,
     1545, 1545, 1545, 1545, 1545, 1549, 1553, 1553, 1553, 1553, 1553, 1553,
     1553, 1557, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1567, 1573, 1573,
     1573, 1573, 1573, 1573, 1573, 1573, 1579, 1579, 1579, 1579, 1579, 1579,
     1579, 1587, 1595, 1597, 1599, 1601, 1603, 1605, 1607, 1615, 1623, 1625,
     1627, 1629, 1631, 1633, 1635, 1637, 1637, 1637, 1637, 1639, 1639, 1639,
     1639, 1639, 1639, 1639, 1639, 1641, 1641, 1641, 1641, 1641, 1641, 1641,
     1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641,
     1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641,
     1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641,
     1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641, 1641,
     1641, 1641, 1641, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643, 1643,
     1649, 1649, 1649, 1649, 1649, 1649, 1649, 1651, 1651, 1651, 1651, 1651,
     1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651,
     1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651,
     1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651, 1651,
     1651, 1651, 1651, 1651, 1651, 1651, 1651, 1653, 1653, 1653, 1653, 1653,
     1653, 1653, 1653, 1659, 1659},
    {1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659,
     1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659,
     1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659,
     1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659,
     1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659,
     1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659,
     1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659,
     1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659,
     1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659,
     1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659,
     1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659,
     1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659, 1659,
     1659, 1661, 1661, 1663, 1663, 1665, 1665, 1665, 1665, 1665, 1665, 1665,
     1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665,
     1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665,
     1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665,
     1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665, 1665,
     1665, 1665, 1665, 1665, 1665, 1667, 1667, 1669, 1669, 1671, 1671, 1671,
     1671, 1671, 1671, 1671, 1671, 1671, 1671, 1671, 1671, 1671, 1671, 1671,
     1671, 1671, 1671, 1671, 1671, 1671, 1671, 1671, 1671, 1671, 1671, 1671,
     1671, 1671, 1671, 1671, 1671, 1671, 1671, 1671, 1671, 1671, 1671, 1671,
     1671, 1671, 1671, 1671, 1671},
    {1671, 1671, 1671, 1671, 1673, 1673, 1673, 1673, 1673, 1675, 1675, 1675,
     1677, 1677, 1677, 1677, 1677, 1677, 1677, 1677, 1677, 1677, 1677, 1677,
     1677, 1677, 1677, 1677, 1677, 1677, 1677, 1677, 1677, 1677, 1677, 1677,
     1679, 1679, 1681, 1681, 1681, 1681, 1681, 1681, 1681, 1681, 1681, 1681,
     1681, 1681, 1681, 1681, 1681, 1681, 1681, 1681, 1681, 1681, 1681, 1681,
     1681, 1683, 1683, 1683, 1683, 1683, 1683, 1683, 1685, 1685, 1687, 1687,
     1687, 1689, 1689, 1689, 1689, 1689, 1691, 1691, 1691, 1691, 1691, 1691,
     1691, 1691, 1691, 1691, 1691, 1691, 1691, 1691, 1691, 1691, 1691, 1691,
     1691, 1691, 1693, 1693, 1693, 1695, 1697, 1697, 1697, 1697, 1697, 1697,
     1697, 1697, 1697, 1697, 1697, 1697, 1697, 1699, 1701, 1701, 1701, 1703,
     1705, 1705, 1705, 1707, 1709, 1711, 1713, 1713, 1713, 1713, 1713, 1715,
     1717, 1717, 1717, 1719, 1721, 1721, 1721, 1721, 1721, 1721, 1721, 1721,
     1721, 1721, 1723, 1725, 1725, 1725, 1725, 1725, 1725, 1725, 1725, 1725,
     1725, 1725, 1725, 1725, 1725, 1725, 1725, 1727, 1727, 1727, 1727, 1727,
     1727, 1729, 1731, 1731, 1733, 1733, 1733, 1733, 1733, 1733, 1733, 1735,
     1737, 1739, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741,
     1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741,
     1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741,
     1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741,
     1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741,
     1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741,
     1741, 1741, 1741, 1741, 1741},
    {1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741,
     1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741,
     1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741,
     1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741,
     1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741,
     1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1741, 1743,
     1743, 1743, 1743, 1743, 1745, 1745, 1747, 1747, 1749, 1749, 1751, 1751,
     1753, 1753, 1755, 1755, 1757, 1757, 1759, 1759, 1761, 1761, 1763, 1763,
     1765, 1765, 1767, 1767, 1767, 1769, 1769, 1771, 1771, 1773, 1773, 1773,
     1773, 1773, 1773, 1773, 1777, 1777, 1777, 1781, 1781, 1781, 1785, 1785,
     1785, 1789, 1789, 1789, 1793, 1793, 1793, 1793, 1793, 1793, 1793, 1793,
     1793, 1793, 1793, 1793, 1793, 1793, 1793, 1793, 1793, 1793, 1793, 1793,
     1793, 1793, 1793, 1793, 1793, 1793, 1793, 1793, 1793, 1793, 1793, 1793,
     1793, 1793, 1795, 1795, 1795, 1795, 1795, 1795, 1795, 1795, 1795, 1797,
     1797, 1797, 1797, 1797, 1799, 1799, 1801, 1801, 1803, 1803, 1805, 1805,
     1807, 1807, 1809, 1809, 1811, 1811, 1813, 1813, 1815, 1815, 1817, 1817,
     1819, 1819, 1821, 1821, 1821, 1823, 1823, 1825, 1825, 1827, 1827, 1827,
     1827, 1827, 1827, 1827, 1831, 1831, 1831, 1835, 1835, 1835, 1839, 1839,
     1839, 1843, 1843, 1843, 1847, 1847, 1847, 1847, 1847, 1847, 1847, 1847,
     1847, 1847, 1847, 1847, 1847, 1847, 1847, 1847, 1847, 1847, 1847, 1847,
     1849, 1851, 1853, 1855, 1855, 1855, 1855, 1855, 1855, 1855, 1855, 1855,
     1855, 1855, 1857, 1857, 1857},
    {1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857,
     1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857,
     1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857,
     1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857,
     1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857,
     1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857,
     1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857,
     1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857,
     1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857,
     1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857,
     1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857,
     1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857,
     1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1857, 1859, 1859,
     1861, 1861, 1861, 1861, 1861, 1861, 1861, 1861, 1861, 1861, 1863, 1863,
     1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863,
     1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863,
     1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863,
     1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863,
     1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863,
     1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863,
     1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863,
     1863, 1863, 1863, 1863, 1863},
    {1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863,
     1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863,
     1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863,
     1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863, 1863,
     1863, 1863, 1865, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867},
    {1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867, 1867,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871},
    {1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871, 1871,
     1871, 1871, 1871, 1871, 1871, 1871, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877},
    {1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877, 1877,
     1877, 1877, 1877, 1877, 1877, 1879, 1881, 1881, 1881, 1881, 1881, 1881,
     1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881,
     1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881,
     1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881,
     1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881,
     1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881,
     1881, 1881, 1881, 1881, 1881},
    {1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881,
     1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881,
     1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881,
     1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881, 1881,
     1881, 1881, 1881, 1881, 1881, 1881, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883, 1883,
     1883, 1883, 1883, 1883, 1883}};
const char32_t composition_data[1883] = {
    0,     824,   8814,  824,   8800,  824,   8815,  768,   192,   769,   193,
    770,   194,   771,   195,   772,   256,   774,   258,   775,   550,   776,
    196,   777,   7842,  778,   197,   780,   461,   783,   512,   785,   514,
    803,   7840,  805,   7680,  808,   260,   775,   7682,  803,   7684,  817,
    7686,  769,   262,   770,   264,   775,   266,   780,   268,   807,   199,
    775,   7690,  780,   270,   803,   7692,  807,   7696,  813,   7698,  817,
    7694,  768,   200,   769,   201,   770,   202,   771,   7868,  772,   274,
    774,   276,   775,   278,   776,   203,   777,   7866,  780,   282,   783,
    516,   785,   518,   803,   7864,  807,   552,   808,   280,   813,   7704,
    816,   7706,  775,   7710,  769,   500,   770,   284,   772,   7712,  774,
    286,   775,   288,   780,   486,   807,   290,   770,   292,   775,   7714,
    776,   7718,  780,   542,   803,   7716,  807,   7720,  814,   7722,  768,
    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};

}  // namespace ada::idna
#endif  // ADA_IDNA_NORMALIZATION_TABLES_H
/* end file src/normalization_tables.cpp */

namespace ada::idna {

// See
// https://github.com/uni-algo/uni-algo/blob/c612968c5ed3ace39bde4c894c24286c5f2c7fe2/include/uni_algo/impl/impl_norm.h#L467
constexpr char32_t hangul_sbase = 0xAC00;
constexpr char32_t hangul_tbase = 0x11A7;
constexpr char32_t hangul_vbase = 0x1161;
constexpr char32_t hangul_lbase = 0x1100;
constexpr char32_t hangul_lcount = 19;
constexpr char32_t hangul_vcount = 21;
constexpr char32_t hangul_tcount = 28;
constexpr char32_t hangul_ncount = hangul_vcount * hangul_tcount;
constexpr char32_t hangul_scount =
    hangul_lcount * hangul_vcount * hangul_tcount;

std::pair<bool, size_t> compute_decomposition_length(
    const std::u32string_view input) noexcept {
  bool decomposition_needed{false};
  size_t additional_elements{0};
  for (char32_t current_character : input) {
    size_t decomposition_length{0};

    if (current_character >= hangul_sbase &&
        current_character < hangul_sbase + hangul_scount) {
      decomposition_length = 2;
      if ((current_character - hangul_sbase) % hangul_tcount) {
        decomposition_length = 3;
      }
    } else if (current_character < 0x110000) {
      const uint8_t di = decomposition_index[current_character >> 8];
      const uint16_t* const decomposition =
          decomposition_block[di] + (current_character % 256);
      decomposition_length = (decomposition[1] >> 2) - (decomposition[0] >> 2);
      if ((decomposition_length > 0) && (decomposition[0] & 1)) {
        decomposition_length = 0;
      }
    }
    if (decomposition_length != 0) {
      decomposition_needed = true;
      additional_elements += decomposition_length - 1;
    }
  }
  return {decomposition_needed, additional_elements};
}

void decompose(std::u32string& input, size_t additional_elements) {
  input.resize(input.size() + additional_elements);
  for (size_t descending_idx = input.size(),
              input_count = descending_idx - additional_elements;
       input_count--;) {
    if (input[input_count] >= hangul_sbase &&
        input[input_count] < hangul_sbase + hangul_scount) {
      // Hangul decomposition.
      char32_t s_index = input[input_count] - hangul_sbase;
      if (s_index % hangul_tcount != 0) {
        input[--descending_idx] = hangul_tbase + s_index % hangul_tcount;
      }
      input[--descending_idx] =
          hangul_vbase + (s_index % hangul_ncount) / hangul_tcount;
      input[--descending_idx] = hangul_lbase + s_index / hangul_ncount;
    } else if (input[input_count] < 0x110000) {
      // Check decomposition_data.
      const uint16_t* decomposition =
          decomposition_block[decomposition_index[input[input_count] >> 8]] +
          (input[input_count] % 256);
      uint16_t decomposition_length =
          (decomposition[1] >> 2) - (decomposition[0] >> 2);
      if (decomposition_length > 0 && (decomposition[0] & 1)) {
        decomposition_length = 0;
      }
      if (decomposition_length > 0) {
        // Non-recursive decomposition.
        while (decomposition_length-- > 0) {
          input[--descending_idx] = decomposition_data[(decomposition[0] >> 2) +
                                                       decomposition_length];
        }
      } else {
        // No decomposition.
        input[--descending_idx] = input[input_count];
      }
    } else {
      // Non-Unicode character.
      input[--descending_idx] = input[input_count];
    }
  }
}

uint8_t get_ccc(char32_t c) noexcept {
  return c < 0x110000 ? canonical_combining_class_block
                            [canonical_combining_class_index[c >> 8]][c % 256]
                      : 0;
}

void sort_marks(std::u32string& input) {
  for (size_t idx = 1; idx < input.size(); idx++) {
    uint8_t ccc = get_ccc(input[idx]);
    if (ccc == 0) {
      continue;
    }  // Skip non-combining characters.
    auto current_character = input[idx];
    size_t back_idx = idx;
    while (back_idx != 0 && get_ccc(input[back_idx - 1]) > ccc) {
      input[back_idx] = input[back_idx - 1];
      back_idx--;
    }
    input[back_idx] = current_character;
  }
}

void decompose_nfc(std::u32string& input) {
  /**
   * Decompose the domain_name string to Unicode Normalization Form C.
   * @see https://www.unicode.org/reports/tr46/#ProcessingStepDecompose
   */
  auto [decomposition_needed, additional_elements] =
      compute_decomposition_length(input);
  if (decomposition_needed) {
    decompose(input, additional_elements);
  }
  sort_marks(input);
}

void compose(std::u32string& input) {
  /**
   * Compose the domain_name string to Unicode Normalization Form C.
   * @see https://www.unicode.org/reports/tr46/#ProcessingStepCompose
   */
  size_t input_count{0};
  size_t composition_count{0};
  for (; input_count < input.size(); input_count++, composition_count++) {
    input[composition_count] = input[input_count];
    if (input[input_count] >= hangul_lbase &&
        input[input_count] < hangul_lbase + hangul_lcount) {
      if (input_count + 1 < input.size() &&
          input[input_count + 1] >= hangul_vbase &&
          input[input_count + 1] < hangul_vbase + hangul_vcount) {
        input[composition_count] =
            hangul_sbase +
            ((input[input_count] - hangul_lbase) * hangul_vcount +
             input[input_count + 1] - hangul_vbase) *
                hangul_tcount;
        input_count++;
        if (input_count + 1 < input.size() &&
            input[input_count + 1] > hangul_tbase &&
            input[input_count + 1] < hangul_tbase + hangul_tcount) {
          input[composition_count] += input[++input_count] - hangul_tbase;
        }
      }
    } else if (input[input_count] >= hangul_sbase &&
               input[input_count] < hangul_sbase + hangul_scount) {
      if ((input[input_count] - hangul_sbase) % hangul_tcount &&
          input_count + 1 < input.size() &&
          input[input_count + 1] > hangul_tbase &&
          input[input_count + 1] < hangul_tbase + hangul_tcount) {
        input[composition_count] += input[++input_count] - hangul_tbase;
      }
    } else if (input[input_count] < 0x110000) {
      const uint16_t* composition =
          &composition_block[composition_index[input[input_count] >> 8]]
                            [input[input_count] % 256];
      size_t initial_composition_count = composition_count;
      for (int32_t previous_ccc = -1; input_count + 1 < input.size();
           input_count++) {
        uint8_t ccc = get_ccc(input[input_count + 1]);

        if (composition[1] != composition[0] && previous_ccc < ccc) {
          // Try finding a composition.
          uint16_t left = composition[0];
          uint16_t right = composition[1];
          while (left + 2 < right) {
            // mean without overflow
            uint16_t middle = left + (((right - left) >> 1) & ~1);
            if (composition_data[middle] <= input[input_count + 1]) {
              left = middle;
            }
            if (composition_data[middle] >= input[input_count + 1]) {
              right = middle;
            }
          }
          if (composition_data[left] == input[input_count + 1]) {
            input[initial_composition_count] = composition_data[left + 1];
            composition =
                &composition_block
                    [composition_index[composition_data[left + 1] >> 8]]
                    [composition_data[left + 1] % 256];
            continue;
          }
        }

        if (ccc == 0) {
          break;
        }  // Not a combining character.
        previous_ccc = ccc;
        input[++composition_count] = input[input_count + 1];
      }
    }
  }

  if (composition_count < input_count) {
    input.resize(composition_count);
  }
}

void normalize(std::u32string& input) {
  /**
   * Normalize the domain_name string to Unicode Normalization Form C.
   * @see https://www.unicode.org/reports/tr46/#ProcessingStepNormalize
   */
  decompose_nfc(input);
  compose(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 satisfy 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 */
/* end file src/ada_idna.cpp */
ADA_POP_DISABLE_WARNINGS

#include <algorithm>
#if ADA_NEON
#include <arm_neon.h>
#elif ADA_SSE2
#include <emmintrin.h>
#endif

namespace ada::unicode {

constexpr uint64_t broadcast(uint8_t v) noexcept {
  return 0x101010101010101ull * v;
}

constexpr bool to_lower_ascii(char* input, size_t length) noexcept {
  uint64_t broadcast_80 = broadcast(0x80);
  uint64_t broadcast_Ap = broadcast(128 - 'A');
  uint64_t broadcast_Zp = broadcast(128 - 'Z' - 1);
  uint64_t non_ascii = 0;
  size_t i = 0;

  for (; i + 7 < length; i += 8) {
    uint64_t word{};
    memcpy(&word, input + i, sizeof(word));
    non_ascii |= (word & broadcast_80);
    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);
    non_ascii |= (word & broadcast_80);
    word ^=
        (((word + broadcast_Ap) ^ (word + broadcast_Zp)) & broadcast_80) >> 2;
    memcpy(input + i, &word, length - i);
  }
  return non_ascii == 0;
}
#if ADA_NEON
ada_really_inline bool has_tabs_or_newline(
    std::string_view user_input) noexcept {
  size_t i = 0;
  const uint8x16_t mask1 = vmovq_n_u8('\r');
  const uint8x16_t mask2 = vmovq_n_u8('\n');
  const uint8x16_t mask3 = vmovq_n_u8('\t');
  uint8x16_t running{0};
  for (; i + 15 < user_input.size(); i += 16) {
    uint8x16_t word = vld1q_u8((const uint8_t*)user_input.data() + i);
    running = vorrq_u8(vorrq_u8(running, vorrq_u8(vceqq_u8(word, mask1),
                                                  vceqq_u8(word, mask2))),
                       vceqq_u8(word, mask3));
  }
  if (i < user_input.size()) {
    uint8_t buffer[16]{};
    memcpy(buffer, user_input.data() + i, user_input.size() - i);
    uint8x16_t word = vld1q_u8((const uint8_t*)user_input.data() + i);
    running = vorrq_u8(vorrq_u8(running, vorrq_u8(vceqq_u8(word, mask1),
                                                  vceqq_u8(word, mask2))),
                       vceqq_u8(word, mask3));
  }
  return vmaxvq_u8(running) != 0;
}
#elif ADA_SSE2
ada_really_inline bool has_tabs_or_newline(
    std::string_view user_input) noexcept {
  size_t i = 0;
  const __m128i mask1 = _mm_set1_epi8('\r');
  const __m128i mask2 = _mm_set1_epi8('\n');
  const __m128i mask3 = _mm_set1_epi8('\t');
  __m128i running{0};
  for (; i + 15 < user_input.size(); i += 16) {
    __m128i word = _mm_loadu_si128((const __m128i*)(user_input.data() + i));
    running = _mm_or_si128(
        _mm_or_si128(running, _mm_or_si128(_mm_cmpeq_epi8(word, mask1),
                                           _mm_cmpeq_epi8(word, mask2))),
        _mm_cmpeq_epi8(word, mask3));
  }
  if (i < user_input.size()) {
    alignas(16) uint8_t buffer[16]{};
    memcpy(buffer, user_input.data() + i, user_input.size() - i);
    __m128i word = _mm_load_si128((const __m128i*)buffer);
    running = _mm_or_si128(
        _mm_or_si128(running, _mm_or_si128(_mm_cmpeq_epi8(word, mask1),
                                           _mm_cmpeq_epi8(word, mask2))),
        _mm_cmpeq_epi8(word, mask3));
  }
  return _mm_movemask_epi8(running) != 0;
}
#else
ada_really_inline bool has_tabs_or_newline(
    std::string_view user_input) noexcept {
  auto has_zero_byte = [](uint64_t v) {
    return ((v - 0x0101010101010101) & ~(v)&0x8080808080808080);
  };
  size_t i = 0;
  uint64_t mask1 = broadcast('\r');
  uint64_t mask2 = broadcast('\n');
  uint64_t mask3 = broadcast('\t');
  uint64_t running{0};
  for (; i + 7 < user_input.size(); i += 8) {
    uint64_t word{};
    memcpy(&word, user_input.data() + i, sizeof(word));
    uint64_t xor1 = word ^ mask1;
    uint64_t xor2 = word ^ mask2;
    uint64_t xor3 = word ^ mask3;
    running |= has_zero_byte(xor1) | has_zero_byte(xor2) | has_zero_byte(xor3);
  }
  if (i < user_input.size()) {
    uint64_t word{};
    memcpy(&word, user_input.data() + i, user_input.size() - i);
    uint64_t xor1 = word ^ mask1;
    uint64_t xor2 = word ^ mask2;
    uint64_t xor3 = word ^ mask3;
    running |= has_zero_byte(xor1) | has_zero_byte(xor2) | has_zero_byte(xor3);
  }
  return running;
}
#endif

// A forbidden host code point is U+0000 NULL, U+0009 TAB, U+000A LF, U+000D CR,
// U+0020 SPACE, U+0023 (#), U+002F (/), U+003A (:), U+003C (<), U+003E (>),
// U+003F (?), U+0040 (@), U+005B ([), U+005C (\), U+005D (]), U+005E (^), or
// U+007C (|).
constexpr static bool is_forbidden_host_code_point_table[] = {
    1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
static_assert(sizeof(is_forbidden_host_code_point_table) == 256);

ada_really_inline constexpr bool is_forbidden_host_code_point(
    const char c) noexcept {
  return is_forbidden_host_code_point_table[uint8_t(c)];
}

static_assert(unicode::is_forbidden_host_code_point('\0'));
static_assert(unicode::is_forbidden_host_code_point('\t'));
static_assert(unicode::is_forbidden_host_code_point('\n'));
static_assert(unicode::is_forbidden_host_code_point('\r'));
static_assert(unicode::is_forbidden_host_code_point(' '));
static_assert(unicode::is_forbidden_host_code_point('#'));
static_assert(unicode::is_forbidden_host_code_point('/'));
static_assert(unicode::is_forbidden_host_code_point(':'));
static_assert(unicode::is_forbidden_host_code_point('?'));
static_assert(unicode::is_forbidden_host_code_point('@'));
static_assert(unicode::is_forbidden_host_code_point('['));
static_assert(unicode::is_forbidden_host_code_point('?'));
static_assert(unicode::is_forbidden_host_code_point('<'));
static_assert(unicode::is_forbidden_host_code_point('>'));
static_assert(unicode::is_forbidden_host_code_point('\\'));
static_assert(unicode::is_forbidden_host_code_point(']'));
static_assert(unicode::is_forbidden_host_code_point('^'));
static_assert(unicode::is_forbidden_host_code_point('|'));

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);

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

ada_really_inline constexpr bool contains_forbidden_domain_code_point(
    const char* input, size_t length) noexcept {
  size_t i = 0;
  uint8_t accumulator{};
  for (; i + 4 <= length; i += 4) {
    accumulator |= is_forbidden_domain_code_point_table[uint8_t(input[i])];
    accumulator |= is_forbidden_domain_code_point_table[uint8_t(input[i + 1])];
    accumulator |= is_forbidden_domain_code_point_table[uint8_t(input[i + 2])];
    accumulator |= is_forbidden_domain_code_point_table[uint8_t(input[i + 3])];
  }
  for (; i < length; i++) {
    accumulator |= is_forbidden_domain_code_point_table[uint8_t(input[i])];
  }
  return accumulator;
}

constexpr static uint8_t is_forbidden_domain_code_point_table_or_upper[] = {
    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, 2, 2, 2, 2, 2, 2, 2,
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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_or_upper) == 256);
static_assert(is_forbidden_domain_code_point_table_or_upper[uint8_t('A')] == 2);
static_assert(is_forbidden_domain_code_point_table_or_upper[uint8_t('Z')] == 2);

ada_really_inline constexpr uint8_t
contains_forbidden_domain_code_point_or_upper(const char* input,
                                              size_t length) noexcept {
  size_t i = 0;
  uint8_t accumulator{};
  for (; i + 4 <= length; i += 4) {
    accumulator |=
        is_forbidden_domain_code_point_table_or_upper[uint8_t(input[i])];
    accumulator |=
        is_forbidden_domain_code_point_table_or_upper[uint8_t(input[i + 1])];
    accumulator |=
        is_forbidden_domain_code_point_table_or_upper[uint8_t(input[i + 2])];
    accumulator |=
        is_forbidden_domain_code_point_table_or_upper[uint8_t(input[i + 3])];
  }
  for (; i < length; i++) {
    accumulator |=
        is_forbidden_domain_code_point_table_or_upper[uint8_t(input[i])];
  }
  return accumulator;
}

static_assert(unicode::is_forbidden_domain_code_point('%'));
static_assert(unicode::is_forbidden_domain_code_point('\x7f'));
static_assert(unicode::is_forbidden_domain_code_point('\0'));
static_assert(unicode::is_forbidden_domain_code_point('\t'));
static_assert(unicode::is_forbidden_domain_code_point('\n'));
static_assert(unicode::is_forbidden_domain_code_point('\r'));
static_assert(unicode::is_forbidden_domain_code_point(' '));
static_assert(unicode::is_forbidden_domain_code_point('#'));
static_assert(unicode::is_forbidden_domain_code_point('/'));
static_assert(unicode::is_forbidden_domain_code_point(':'));
static_assert(unicode::is_forbidden_domain_code_point('?'));
static_assert(unicode::is_forbidden_domain_code_point('@'));
static_assert(unicode::is_forbidden_domain_code_point('['));
static_assert(unicode::is_forbidden_domain_code_point('?'));
static_assert(unicode::is_forbidden_domain_code_point('<'));
static_assert(unicode::is_forbidden_domain_code_point('>'));
static_assert(unicode::is_forbidden_domain_code_point('\\'));
static_assert(unicode::is_forbidden_domain_code_point(']'));
static_assert(unicode::is_forbidden_domain_code_point('^'));
static_assert(unicode::is_forbidden_domain_code_point('|'));

constexpr static bool is_alnum_plus_table[] = {
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 0,
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};

static_assert(sizeof(is_alnum_plus_table) == 256);

ada_really_inline constexpr bool is_alnum_plus(const char c) noexcept {
  return is_alnum_plus_table[uint8_t(c)];
  // A table is almost surely much faster than the
  // following under most compilers: return
  // return (std::isalnum(c) || c == '+' || c == '-' || c == '.');
}
static_assert(unicode::is_alnum_plus('+'));
static_assert(unicode::is_alnum_plus('-'));
static_assert(unicode::is_alnum_plus('.'));
static_assert(unicode::is_alnum_plus('0'));
static_assert(unicode::is_alnum_plus('1'));
static_assert(unicode::is_alnum_plus('a'));
static_assert(unicode::is_alnum_plus('b'));

ada_really_inline constexpr bool is_ascii_hex_digit(const char c) noexcept {
  return (c >= '0' && c <= '9') || (c >= 'A' && c <= 'F') ||
         (c >= 'a' && c <= 'f');
}

ada_really_inline constexpr bool is_c0_control_or_space(const char c) noexcept {
  return (unsigned char)c <= ' ';
}

ada_really_inline constexpr bool is_ascii_tab_or_newline(
    const char c) noexcept {
  return c == '\t' || c == '\n' || c == '\r';
}

constexpr std::string_view table_is_double_dot_path_segment[] = {
    "..", "%2e.", ".%2e", "%2e%2e"};

ada_really_inline ada_constexpr bool is_double_dot_path_segment(
    std::string_view input) noexcept {
  // This will catch most cases:
  // The length must be 2,4 or 6.
  // We divide by two and require
  // that the result be between 1 and 3 inclusively.
  uint64_t half_length = uint64_t(input.size()) / 2;
  if (half_length - 1 > 2) {
    return false;
  }
  // We have a string of length 2, 4 or 6.
  // We now check the first character:
  if ((input[0] != '.') && (input[0] != '%')) {
    return false;
  }
  // We are unlikely the get beyond this point.
  int hash_value = (input.size() + (unsigned)(input[0])) & 3;
  const std::string_view target = table_is_double_dot_path_segment[hash_value];
  if (target.size() != input.size()) {
    return false;
  }
  // We almost never get here.
  // Optimizing the rest is relatively unimportant.
  auto prefix_equal_unsafe = [](std::string_view a, std::string_view b) {
    uint16_t A, B;
    memcpy(&A, a.data(), sizeof(A));
    memcpy(&B, b.data(), sizeof(B));
    return A == B;
  };
  if (!prefix_equal_unsafe(input, target)) {
    return false;
  }
  for (size_t i = 2; i < input.size(); i++) {
    char c = input[i];
    if ((uint8_t((c | 0x20) - 0x61) <= 25 ? (c | 0x20) : c) != target[i]) {
      return false;
    }
  }
  return true;
  // The above code might be a bit better than the code below. Compilers
  // are not stupid and may use the fact that these strings have length 2,4 and
  // 6 and other tricks.
  // return input == ".." ||
  //  input == ".%2e" || input == ".%2E" ||
  //  input == "%2e." || input == "%2E." ||
  //  input == "%2e%2e" || input == "%2E%2E" || input == "%2E%2e" || input ==
  //  "%2e%2E";
}

ada_really_inline constexpr bool is_single_dot_path_segment(
    std::string_view input) noexcept {
  return input == "." || input == "%2e" || input == "%2E";
}

ada_really_inline constexpr bool is_lowercase_hex(const char c) noexcept {
  return (c >= '0' && c <= '9') || (c >= 'a' && c <= 'f');
}

unsigned constexpr convert_hex_to_binary(const char c) noexcept {
  // this code can be optimized.
  if (c <= '9') {
    return c - '0';
  }
  char del = c >= 'a' ? 'a' : 'A';
  return 10 + (c - del);
}

std::string percent_decode(const std::string_view input, size_t first_percent) {
  // next line is for safety only, we expect users to avoid calling
  // percent_decode when first_percent is outside the range.
  if (first_percent == std::string_view::npos) {
    return std::string(input);
  }
  std::string dest(input.substr(0, first_percent));
  dest.reserve(input.length());
  const char* pointer = input.data() + first_percent;
  const char* end = input.data() + input.size();
  // Optimization opportunity: if the following code gets
  // called often, it can be optimized quite a bit.
  while (pointer < end) {
    const char ch = pointer[0];
    size_t remaining = end - pointer - 1;
    if (ch != '%' || remaining < 2 ||
        (  // ch == '%' && // It is unnecessary to check that ch == '%'.
            (!is_ascii_hex_digit(pointer[1]) ||
             !is_ascii_hex_digit(pointer[2])))) {
      dest += ch;
      pointer++;
      continue;
    } else {
      unsigned a = convert_hex_to_binary(pointer[1]);
      unsigned b = convert_hex_to_binary(pointer[2]);
      char c = static_cast<char>(a * 16 + b);
      dest += c;
      pointer += 3;
    }
  }
  return dest;
}

std::string percent_encode(const std::string_view input,
                           const uint8_t character_set[]) {
  auto pointer =
      std::find_if(input.begin(), input.end(), [character_set](const char c) {
        return character_sets::bit_at(character_set, c);
      });
  // Optimization: Don't iterate if percent encode is not required
  if (pointer == input.end()) {
    return std::string(input);
  }

  std::string result(input.substr(0, std::distance(input.begin(), pointer)));
  result.reserve(input.length());  // in the worst case, percent encoding might
                                   // produce 3 characters.

  for (; pointer != input.end(); pointer++) {
    if (character_sets::bit_at(character_set, *pointer)) {
      result.append(character_sets::hex + uint8_t(*pointer) * 4, 3);
    } else {
      result += *pointer;
    }
  }

  return result;
}

template <bool append>
bool percent_encode(const std::string_view input, const uint8_t character_set[],
                    std::string& out) {
  ada_log("percent_encode ", input, " to output string while ",
          append ? "appending" : "overwriting");
  auto pointer =
      std::find_if(input.begin(), input.end(), [character_set](const char c) {
        return character_sets::bit_at(character_set, c);
      });
  ada_log("percent_encode done checking, moved to ",
          std::distance(input.begin(), pointer));

  // Optimization: Don't iterate if percent encode is not required
  if (pointer == input.end()) {
    ada_log("percent_encode encoding not needed.");
    return false;
  }
  if (!append) {
    out.clear();
  }
  ada_log("percent_encode appending ", std::distance(input.begin(), pointer),
          " bytes");
  out.append(input.data(), std::distance(input.begin(), pointer));
  ada_log("percent_encode processing ", std::distance(pointer, input.end()),
          " bytes");
  for (; pointer != input.end(); pointer++) {
    if (character_sets::bit_at(character_set, *pointer)) {
      out.append(character_sets::hex + uint8_t(*pointer) * 4, 3);
    } else {
      out += *pointer;
    }
  }
  return true;
}

bool to_ascii(std::optional<std::string>& out, const std::string_view plain,
              size_t first_percent) {
  std::string percent_decoded_buffer;
  std::string_view input = plain;
  if (first_percent != std::string_view::npos) {
    percent_decoded_buffer = unicode::percent_decode(plain, first_percent);
    input = percent_decoded_buffer;
  }
  // input is a non-empty UTF-8 string, must be percent decoded
  std::string idna_ascii = ada::idna::to_ascii(input);
  if (idna_ascii.empty() || contains_forbidden_domain_code_point(
                                idna_ascii.data(), idna_ascii.size())) {
    return false;
  }
  out = std::move(idna_ascii);
  return true;
}

std::string percent_encode(const std::string_view input,
                           const uint8_t character_set[], size_t index) {
  std::string out;
  out.append(input.data(), index);
  auto pointer = input.begin() + index;
  for (; pointer != input.end(); pointer++) {
    if (character_sets::bit_at(character_set, *pointer)) {
      out.append(character_sets::hex + uint8_t(*pointer) * 4, 3);
    } else {
      out += *pointer;
    }
  }
  return out;
}

std::string to_unicode(std::string_view input) {
  return ada::idna::to_unicode(input);
}

}  // namespace ada::unicode
/* end file src/unicode.cpp */
/* begin file src/serializers.cpp */

#include <array>
#include <string>

namespace ada::serializers {

void find_longest_sequence_of_ipv6_pieces(
    const std::array<uint16_t, 8>& address, size_t& compress,
    size_t& compress_length) noexcept {
  for (size_t i = 0; i < 8; i++) {
    if (address[i] == 0) {
      size_t next = i + 1;
      while (next != 8 && address[next] == 0) ++next;
      const size_t count = next - i;
      if (compress_length < count) {
        compress_length = count;
        compress = i;
        if (next == 8) break;
        i = next;
      }
    }
  }
}

std::string ipv6(const std::array<uint16_t, 8>& address) noexcept {
  size_t compress_length = 0;  // The length of a long sequence of zeros.
  size_t compress = 0;         // The start of a long sequence of zeros.
  find_longest_sequence_of_ipv6_pieces(address, compress, compress_length);

  if (compress_length <= 1) {
    // Optimization opportunity: Find a faster way then snprintf for imploding
    // and return here.
    compress = compress_length = 8;
  }

  std::string output(4 * 8 + 7 + 2, '\0');
  size_t piece_index = 0;
  char* point = output.data();
  char* point_end = output.data() + output.size();
  *point++ = '[';
  while (true) {
    if (piece_index == compress) {
      *point++ = ':';
      // If we skip a value initially, we need to write '::', otherwise
      // a single ':' will do since it follows a previous ':'.
      if (piece_index == 0) {
        *point++ = ':';
      }
      piece_index += compress_length;
      if (piece_index == 8) {
        break;
      }
    }
    point = std::to_chars(point, point_end, address[piece_index], 16).ptr;
    piece_index++;
    if (piece_index == 8) {
      break;
    }
    *point++ = ':';
  }
  *point++ = ']';
  output.resize(point - output.data());
  return output;
}

std::string ipv4(const uint64_t address) noexcept {
  std::string output(15, '\0');
  char* point = output.data();
  char* point_end = output.data() + output.size();
  point = std::to_chars(point, point_end, uint8_t(address >> 24)).ptr;
  for (int i = 2; i >= 0; i--) {
    *point++ = '.';
    point = std::to_chars(point, point_end, uint8_t(address >> (i * 8))).ptr;
  }
  output.resize(point - output.data());
  return output;
}

}  // namespace ada::serializers
/* end file src/serializers.cpp */
/* begin file src/implementation.cpp */
#include <string_view>


namespace ada {

template <class result_type>
ada_warn_unused tl::expected<result_type, ada::errors> parse(
    std::string_view input, const result_type* base_url) {
  result_type u = ada::parser::parse_url<result_type>(input, base_url);
  if (!u.is_valid) {
    return tl::unexpected(errors::generic_error);
  }
  return u;
}

template ada::result<url> parse<url>(std::string_view input,
                                     const url* base_url = nullptr);
template ada::result<url_aggregator> parse<url_aggregator>(
    std::string_view input, const url_aggregator* base_url = nullptr);

std::string href_from_file(std::string_view input) {
  // This is going to be much faster than constructing a URL.
  std::string tmp_buffer;
  std::string_view internal_input;
  if (unicode::has_tabs_or_newline(input)) {
    tmp_buffer = input;
    helpers::remove_ascii_tab_or_newline(tmp_buffer);
    internal_input = tmp_buffer;
  } else {
    internal_input = input;
  }
  std::string path;
  if (internal_input.empty()) {
    path = "/";
  } else if ((internal_input[0] == '/') || (internal_input[0] == '\\')) {
    helpers::parse_prepared_path(internal_input.substr(1),
                                 ada::scheme::type::FILE, path);
  } else {
    helpers::parse_prepared_path(internal_input, ada::scheme::type::FILE, path);
  }
  return "file://" + path;
}

bool can_parse(std::string_view input, const std::string_view* base_input) {
  ada::result<ada::url_aggregator> base;
  ada::url_aggregator* base_pointer = nullptr;
  if (base_input != nullptr) {
    base = ada::parse<url_aggregator>(*base_input);
    if (!base) {
      return false;
    }
    base_pointer = &base.value();
  }
  return ada::parse<url_aggregator>(input, base_pointer).has_value();
}

ada_warn_unused std::string to_string(ada::encoding_type type) {
  switch (type) {
    case ada::encoding_type::UTF8:
      return "UTF-8";
    case ada::encoding_type::UTF_16LE:
      return "UTF-16LE";
    case ada::encoding_type::UTF_16BE:
      return "UTF-16BE";
    default:
      unreachable();
  }
}

}  // namespace ada
/* end file src/implementation.cpp */
/* begin file src/helpers.cpp */

#include <algorithm>
#include <charconv>
#include <cstring>
#include <sstream>

namespace ada::helpers {

template <typename out_iter>
void encode_json(std::string_view view, out_iter out) {
  // trivial implementation. could be faster.
  const char* hexvalues =
      "000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f";
  for (uint8_t c : view) {
    if (c == '\\') {
      *out++ = '\\';
      *out++ = '\\';
    } else if (c == '"') {
      *out++ = '\\';
      *out++ = '"';
    } else if (c <= 0x1f) {
      *out++ = '\\';
      *out++ = 'u';
      *out++ = '0';
      *out++ = '0';
      *out++ = hexvalues[2 * c];
      *out++ = hexvalues[2 * c + 1];
    } else {
      *out++ = c;
    }
  }
}

ada_unused std::string get_state(ada::state s) {
  switch (s) {
    case ada::state::AUTHORITY:
      return "Authority";
    case ada::state::SCHEME_START:
      return "Scheme Start";
    case ada::state::SCHEME:
      return "Scheme";
    case ada::state::HOST:
      return "Host";
    case ada::state::NO_SCHEME:
      return "No Scheme";
    case ada::state::FRAGMENT:
      return "Fragment";
    case ada::state::RELATIVE_SCHEME:
      return "Relative Scheme";
    case ada::state::RELATIVE_SLASH:
      return "Relative Slash";
    case ada::state::FILE:
      return "File";
    case ada::state::FILE_HOST:
      return "File Host";
    case ada::state::FILE_SLASH:
      return "File Slash";
    case ada::state::PATH_OR_AUTHORITY:
      return "Path or Authority";
    case ada::state::SPECIAL_AUTHORITY_IGNORE_SLASHES:
      return "Special Authority Ignore Slashes";
    case ada::state::SPECIAL_AUTHORITY_SLASHES:
      return "Special Authority Slashes";
    case ada::state::SPECIAL_RELATIVE_OR_AUTHORITY:
      return "Special Relative or Authority";
    case ada::state::QUERY:
      return "Query";
    case ada::state::PATH:
      return "Path";
    case ada::state::PATH_START:
      return "Path Start";
    case ada::state::OPAQUE_PATH:
      return "Opaque Path";
    case ada::state::PORT:
      return "Port";
    default:
      return "unknown state";
  }
}

ada_really_inline std::optional<std::string_view> prune_hash(
    std::string_view& input) noexcept {
  // compiles down to 20--30 instructions including a class to memchr (C
  // function). this function should be quite fast.
  size_t location_of_first = input.find('#');
  if (location_of_first == std::string_view::npos) {
    return std::nullopt;
  }
  std::string_view hash = input;
  hash.remove_prefix(location_of_first + 1);
  input.remove_suffix(input.size() - location_of_first);
  return hash;
}

ada_really_inline bool shorten_path(std::string& path,
                                    ada::scheme::type type) noexcept {
  size_t first_delimiter = path.find_first_of('/', 1);

  // Let path be url's path.
  // If url's scheme is "file", path's size is 1, and path[0] is a normalized
  // Windows drive letter, then return.
  if (type == ada::scheme::type::FILE &&
      first_delimiter == std::string_view::npos && !path.empty()) {
    if (checkers::is_normalized_windows_drive_letter(
            helpers::substring(path, 1))) {
      return false;
    }
  }

  // Remove path's last item, if any.
  size_t last_delimiter = path.rfind('/');
  if (last_delimiter != std::string::npos) {
    path.erase(last_delimiter);
    return true;
  }

  return false;
}

ada_really_inline bool shorten_path(std::string_view& path,
                                    ada::scheme::type type) noexcept {
  size_t first_delimiter = path.find_first_of('/', 1);

  // Let path be url's path.
  // If url's scheme is "file", path's size is 1, and path[0] is a normalized
  // Windows drive letter, then return.
  if (type == ada::scheme::type::FILE &&
      first_delimiter == std::string_view::npos && !path.empty()) {
    if (checkers::is_normalized_windows_drive_letter(
            helpers::substring(path, 1))) {
      return false;
    }
  }

  // Remove path's last item, if any.
  if (!path.empty()) {
    size_t slash_loc = path.rfind('/');
    if (slash_loc != std::string_view::npos) {
      path.remove_suffix(path.size() - slash_loc);
      return true;
    }
  }

  return false;
}

ada_really_inline void remove_ascii_tab_or_newline(
    std::string& input) noexcept {
  // if this ever becomes a performance issue, we could use an approach similar
  // to has_tabs_or_newline
  input.erase(std::remove_if(input.begin(), input.end(),
                             [](char c) {
                               return ada::unicode::is_ascii_tab_or_newline(c);
                             }),
              input.end());
}

ada_really_inline std::string_view substring(std::string_view input,
                                             size_t pos) noexcept {
  ADA_ASSERT_TRUE(pos <= input.size());
  // The following is safer but unneeded if we have the above line:
  // return pos > input.size() ? std::string_view() : input.substr(pos);
  return input.substr(pos);
}

ada_really_inline void resize(std::string_view& input, size_t pos) noexcept {
  ADA_ASSERT_TRUE(pos <= input.size());
  input.remove_suffix(input.size() - pos);
}

// Reverse the byte order.
ada_really_inline uint64_t swap_bytes(uint64_t val) noexcept {
  // performance: this often compiles to a single instruction (e.g., bswap)
  return ((((val)&0xff00000000000000ull) >> 56) |
          (((val)&0x00ff000000000000ull) >> 40) |
          (((val)&0x0000ff0000000000ull) >> 24) |
          (((val)&0x000000ff00000000ull) >> 8) |
          (((val)&0x00000000ff000000ull) << 8) |
          (((val)&0x0000000000ff0000ull) << 24) |
          (((val)&0x000000000000ff00ull) << 40) |
          (((val)&0x00000000000000ffull) << 56));
}

ada_really_inline uint64_t swap_bytes_if_big_endian(uint64_t val) noexcept {
  // performance: under little-endian systems (most systems), this function
  // is free (just returns the input).
#if ADA_IS_BIG_ENDIAN
  return swap_bytes(val);
#else
  return val;  // unchanged (trivial)
#endif
}

// starting at index location, this finds the next location of a character
// :, /, \\, ? or [. If none is found, view.size() is returned.
// For use within get_host_delimiter_location.
ada_really_inline size_t find_next_host_delimiter_special(
    std::string_view view, size_t location) noexcept {
  // performance: if you plan to call find_next_host_delimiter more than once,
  // you *really* want find_next_host_delimiter to be inlined, because
  // otherwise, the constants may get reloaded each time (bad).
  auto has_zero_byte = [](uint64_t v) {
    return ((v - 0x0101010101010101) & ~(v)&0x8080808080808080);
  };
  auto index_of_first_set_byte = [](uint64_t v) {
    return ((((v - 1) & 0x101010101010101) * 0x101010101010101) >> 56) - 1;
  };
  auto broadcast = [](uint8_t v) -> uint64_t {
    return 0x101010101010101ull * v;
  };
  size_t i = location;
  uint64_t mask1 = broadcast(':');
  uint64_t mask2 = broadcast('/');
  uint64_t mask3 = broadcast('\\');
  uint64_t mask4 = broadcast('?');
  uint64_t mask5 = broadcast('[');
  // This loop will get autovectorized under many optimizing compilers,
  // so you get actually SIMD!
  for (; i + 7 < view.size(); i += 8) {
    uint64_t word{};
    // performance: the next memcpy translates into a single CPU instruction.
    memcpy(&word, view.data() + i, sizeof(word));
    // performance: on little-endian systems (most systems), this next line is
    // free.
    word = swap_bytes_if_big_endian(word);
    uint64_t xor1 = word ^ mask1;
    uint64_t xor2 = word ^ mask2;
    uint64_t xor3 = word ^ mask3;
    uint64_t xor4 = word ^ mask4;
    uint64_t xor5 = word ^ mask5;
    uint64_t is_match = has_zero_byte(xor1) | has_zero_byte(xor2) |
                        has_zero_byte(xor3) | has_zero_byte(xor4) |
                        has_zero_byte(xor5);
    if (is_match) {
      return size_t(i + index_of_first_set_byte(is_match));
    }
  }
  if (i < view.size()) {
    uint64_t word{};
    // performance: the next memcpy translates into a function call, but
    // that is difficult to avoid. Might be a bit expensive.
    memcpy(&word, view.data() + i, view.size() - i);
    word = swap_bytes_if_big_endian(word);
    uint64_t xor1 = word ^ mask1;
    uint64_t xor2 = word ^ mask2;
    uint64_t xor3 = word ^ mask3;
    uint64_t xor4 = word ^ mask4;
    uint64_t xor5 = word ^ mask5;
    uint64_t is_match = has_zero_byte(xor1) | has_zero_byte(xor2) |
                        has_zero_byte(xor3) | has_zero_byte(xor4) |
                        has_zero_byte(xor5);
    if (is_match) {
      return size_t(i + index_of_first_set_byte(is_match));
    }
  }
  return view.size();
}

// starting at index location, this finds the next location of a character
// :, /, ? or [. If none is found, view.size() is returned.
// For use within get_host_delimiter_location.
ada_really_inline size_t find_next_host_delimiter(std::string_view view,
                                                  size_t location) noexcept {
  // performance: if you plan to call find_next_host_delimiter more than once,
  // you *really* want find_next_host_delimiter to be inlined, because
  // otherwise, the constants may get reloaded each time (bad).
  auto has_zero_byte = [](uint64_t v) {
    return ((v - 0x0101010101010101) & ~(v)&0x8080808080808080);
  };
  auto index_of_first_set_byte = [](uint64_t v) {
    return ((((v - 1) & 0x101010101010101) * 0x101010101010101) >> 56) - 1;
  };
  auto broadcast = [](uint8_t v) -> uint64_t {
    return 0x101010101010101ull * v;
  };
  size_t i = location;
  uint64_t mask1 = broadcast(':');
  uint64_t mask2 = broadcast('/');
  uint64_t mask4 = broadcast('?');
  uint64_t mask5 = broadcast('[');
  // This loop will get autovectorized under many optimizing compilers,
  // so you get actually SIMD!
  for (; i + 7 < view.size(); i += 8) {
    uint64_t word{};
    // performance: the next memcpy translates into a single CPU instruction.
    memcpy(&word, view.data() + i, sizeof(word));
    // performance: on little-endian systems (most systems), this next line is
    // free.
    word = swap_bytes_if_big_endian(word);
    uint64_t xor1 = word ^ mask1;
    uint64_t xor2 = word ^ mask2;
    uint64_t xor4 = word ^ mask4;
    uint64_t xor5 = word ^ mask5;
    uint64_t is_match = has_zero_byte(xor1) | has_zero_byte(xor2) |
                        has_zero_byte(xor4) | has_zero_byte(xor5);
    if (is_match) {
      return size_t(i + index_of_first_set_byte(is_match));
    }
  }
  if (i < view.size()) {
    uint64_t word{};
    // performance: the next memcpy translates into a function call, but
    // that is difficult to avoid. Might be a bit expensive.
    memcpy(&word, view.data() + i, view.size() - i);
    // performance: on little-endian systems (most systems), this next line is
    // free.
    word = swap_bytes_if_big_endian(word);
    uint64_t xor1 = word ^ mask1;
    uint64_t xor2 = word ^ mask2;
    uint64_t xor4 = word ^ mask4;
    uint64_t xor5 = word ^ mask5;
    uint64_t is_match = has_zero_byte(xor1) | has_zero_byte(xor2) |
                        has_zero_byte(xor4) | has_zero_byte(xor5);
    if (is_match) {
      return size_t(i + index_of_first_set_byte(is_match));
    }
  }
  return view.size();
}

ada_really_inline std::pair<size_t, bool> get_host_delimiter_location(
    const bool is_special, std::string_view& view) noexcept {
  /**
   * The spec at https://url.spec.whatwg.org/#hostname-state expects us to
   * compute a variable called insideBrackets but this variable is only used
   * once, to check whether a ':' character was found outside brackets. Exact
   * text: "Otherwise, if c is U+003A (:) and insideBrackets is false, then:".
   * It is conceptually simpler and arguably more efficient to just return a
   * Boolean indicating whether ':' was found outside brackets.
   */
  const size_t view_size = view.size();
  size_t location = 0;
  bool found_colon = false;
  /**
   * Performance analysis:
   *
   * We are basically seeking the end of the hostname which can be indicated
   * by the end of the view, or by one of the characters ':', '/', '?', '\\'
   * (where '\\' is only applicable for special URLs). However, these must
   * appear outside a bracket range. E.g., if you have [something?]fd: then the
   * '?' does not count.
   *
   * So we can skip ahead to the next delimiter, as long as we include '[' in
   * the set of delimiters, and that we handle it first.
   *
   * So the trick is to have a fast function that locates the next delimiter.
   * Unless we find '[', then it only needs to be called once! Ideally, such a
   * function would be provided by the C++ standard library, but it seems that
   * find_first_of is not very fast, so we are forced to roll our own.
   *
   * We do not break into two loops for speed, but for clarity.
   */
  if (is_special) {
    // We move to the next delimiter.
    location = find_next_host_delimiter_special(view, location);
    // Unless we find '[' then we are going only going to have to call
    // find_next_host_delimiter_special once.
    for (; location < view_size;
         location = find_next_host_delimiter_special(view, location)) {
      if (view[location] == '[') {
        location = view.find(']', location);
        if (location == std::string_view::npos) {
          // performance: view.find might get translated to a memchr, which
          // has no notion of std::string_view::npos, so the code does not
          // reflect the assembly.
          location = view_size;
          break;
        }
      } else {
        found_colon = view[location] == ':';
        break;
      }
    }
  } else {
    // We move to the next delimiter.
    location = find_next_host_delimiter(view, location);
    // Unless we find '[' then we are going only going to have to call
    // find_next_host_delimiter_special once.
    for (; location < view_size;
         location = find_next_host_delimiter(view, location)) {
      if (view[location] == '[') {
        location = view.find(']', location);
        if (location == std::string_view::npos) {
          // performance: view.find might get translated to a memchr, which
          // has no notion of std::string_view::npos, so the code does not
          // reflect the assembly.
          location = view_size;
          break;
        }
      } else {
        found_colon = view[location] == ':';
        break;
      }
    }
  }
  // performance: remove_suffix may translate into a single instruction.
  view.remove_suffix(view_size - location);
  return {location, found_colon};
}

ada_really_inline void trim_c0_whitespace(std::string_view& input) noexcept {
  while (!input.empty() &&
         ada::unicode::is_c0_control_or_space(input.front())) {
    input.remove_prefix(1);
  }
  while (!input.empty() && ada::unicode::is_c0_control_or_space(input.back())) {
    input.remove_suffix(1);
  }
}

ada_really_inline void parse_prepared_path(std::string_view input,
                                           ada::scheme::type type,
                                           std::string& path) {
  ada_log("parse_prepared_path ", input);
  uint8_t accumulator = checkers::path_signature(input);
  // Let us first detect a trivial case.
  // If it is special, we check that we have no dot, no %,  no \ and no
  // character needing percent encoding. Otherwise, we check that we have no %,
  // no dot, and no character needing percent encoding.
  constexpr uint8_t need_encoding = 1;
  constexpr uint8_t backslash_char = 2;
  constexpr uint8_t dot_char = 4;
  constexpr uint8_t percent_char = 8;
  bool special = type != ada::scheme::NOT_SPECIAL;
  bool may_need_slow_file_handling = (type == ada::scheme::type::FILE &&
                                      checkers::is_windows_drive_letter(input));
  bool trivial_path =
      (special ? (accumulator == 0)
               : ((accumulator & (need_encoding | dot_char | percent_char)) ==
                  0)) &&
      (!may_need_slow_file_handling);
  if (accumulator == dot_char && !may_need_slow_file_handling) {
    // '4' means that we have at least one dot, but nothing that requires
    // percent encoding or decoding. The only part that is not trivial is
    // that we may have single dots and double dots path segments.
    // If we have such segments, then we either have a path that begins
    // with '.' (easy to check), or we have the sequence './'.
    // Note: input cannot be empty, it must at least contain one character ('.')
    // Note: we know that '\' is not present.
    if (input[0] != '.') {
      size_t slashdot = input.find("/.");
      if (slashdot == std::string_view::npos) {  // common case
        trivial_path = true;
      } else {  // uncommon
        // only three cases matter: /./, /.. or a final /
        trivial_path =
            !(slashdot + 2 == input.size() || input[slashdot + 2] == '.' ||
              input[slashdot + 2] == '/');
      }
    }
  }
  if (trivial_path) {
    ada_log("parse_path trivial");
    path += '/';
    path += input;
    return;
  }
  // We are going to need to look a bit at the path, but let us see if we can
  // ignore percent encoding *and* backslashes *and* percent characters.
  // Except for the trivial case, this is likely to capture 99% of paths out
  // there.
  bool fast_path =
      (special &&
       (accumulator & (need_encoding | backslash_char | percent_char)) == 0) &&
      (type != ada::scheme::type::FILE);
  if (fast_path) {
    ada_log("parse_prepared_path fast");
    // Here we don't need to worry about \ or percent encoding.
    // We also do not have a file protocol. We might have dots, however,
    // but dots must as appear as '.', and they cannot be encoded because
    // the symbol '%' is not present.
    size_t previous_location = 0;  // We start at 0.
    do {
      size_t new_location = input.find('/', previous_location);
      // std::string_view path_view = input;
      //  We process the last segment separately:
      if (new_location == std::string_view::npos) {
        std::string_view path_view = input.substr(previous_location);
        if (path_view == "..") {  // The path ends with ..
          // e.g., if you receive ".." with an empty path, you go to "/".
          if (path.empty()) {
            path = '/';
            return;
          }
          // Fast case where we have nothing to do:
          if (path.back() == '/') {
            return;
          }
          // If you have the path "/joe/myfriend",
          // then you delete 'myfriend'.
          path.resize(path.rfind('/') + 1);
          return;
        }
        path += '/';
        if (path_view != ".") {
          path.append(path_view);
        }
        return;
      } else {
        // This is a non-final segment.
        std::string_view path_view =
            input.substr(previous_location, new_location - previous_location);
        previous_location = new_location + 1;
        if (path_view == "..") {
          size_t last_delimiter = path.rfind('/');
          if (last_delimiter != std::string::npos) {
            path.erase(last_delimiter);
          }
        } else if (path_view != ".") {
          path += '/';
          path.append(path_view);
        }
      }
    } while (true);
  } else {
    ada_log("parse_path slow");
    // we have reached the general case
    bool needs_percent_encoding = (accumulator & 1);
    std::string path_buffer_tmp;
    do {
      size_t location = (special && (accumulator & 2))
                            ? input.find_first_of("/\\")
                            : input.find('/');
      std::string_view path_view = input;
      if (location != std::string_view::npos) {
        path_view.remove_suffix(path_view.size() - location);
        input.remove_prefix(location + 1);
      }
      // path_buffer is either path_view or it might point at a percent encoded
      // temporary file.
      std::string_view path_buffer =
          (needs_percent_encoding &&
           ada::unicode::percent_encode<false>(
               path_view, character_sets::PATH_PERCENT_ENCODE, path_buffer_tmp))
              ? path_buffer_tmp
              : path_view;
      if (unicode::is_double_dot_path_segment(path_buffer)) {
        if ((helpers::shorten_path(path, type) || special) &&
            location == std::string_view::npos) {
          path += '/';
        }
      } else if (unicode::is_single_dot_path_segment(path_buffer) &&
                 (location == std::string_view::npos)) {
        path += '/';
      }
      // Otherwise, if path_buffer is not a single-dot path segment, then:
      else if (!unicode::is_single_dot_path_segment(path_buffer)) {
        // If url's scheme is "file", url's path is empty, and path_buffer is a
        // Windows drive letter, then replace the second code point in
        // path_buffer with U+003A (:).
        if (type == ada::scheme::type::FILE && path.empty() &&
            checkers::is_windows_drive_letter(path_buffer)) {
          path += '/';
          path += path_buffer[0];
          path += ':';
          path_buffer.remove_prefix(2);
          path.append(path_buffer);
        } else {
          // Append path_buffer to url's path.
          path += '/';
          path.append(path_buffer);
        }
      }
      if (location == std::string_view::npos) {
        return;
      }
    } while (true);
  }
}

bool overlaps(std::string_view input1, const std::string& input2) noexcept {
  ada_log("helpers::overlaps check if string_view '", input1, "' [",
          input1.size(), " bytes] is part of string '", input2, "' [",
          input2.size(), " bytes]");
  return !input1.empty() && !input2.empty() && input1.data() >= input2.data() &&
         input1.data() < input2.data() + input2.size();
}

template <class url_type>
ada_really_inline void strip_trailing_spaces_from_opaque_path(
    url_type& url) noexcept {
  ada_log("helpers::strip_trailing_spaces_from_opaque_path");
  if (!url.has_opaque_path) return;
  if (url.has_hash()) return;
  if (url.has_search()) return;

  auto path = std::string(url.get_pathname());
  while (!path.empty() && path.back() == ' ') {
    path.resize(path.size() - 1);
  }
  url.update_base_pathname(path);
}

ada_really_inline size_t
find_authority_delimiter_special(std::string_view view) noexcept {
  auto has_zero_byte = [](uint64_t v) {
    return ((v - 0x0101010101010101) & ~(v)&0x8080808080808080);
  };
  auto index_of_first_set_byte = [](uint64_t v) {
    return ((((v - 1) & 0x101010101010101) * 0x101010101010101) >> 56) - 1;
  };
  auto broadcast = [](uint8_t v) -> uint64_t {
    return 0x101010101010101ull * v;
  };
  size_t i = 0;
  uint64_t mask1 = broadcast('@');
  uint64_t mask2 = broadcast('/');
  uint64_t mask3 = broadcast('?');
  uint64_t mask4 = broadcast('\\');

  for (; i + 7 < view.size(); i += 8) {
    uint64_t word{};
    memcpy(&word, view.data() + i, sizeof(word));
    word = swap_bytes_if_big_endian(word);
    uint64_t xor1 = word ^ mask1;
    uint64_t xor2 = word ^ mask2;
    uint64_t xor3 = word ^ mask3;
    uint64_t xor4 = word ^ mask4;
    uint64_t is_match = has_zero_byte(xor1) | has_zero_byte(xor2) |
                        has_zero_byte(xor3) | has_zero_byte(xor4);
    if (is_match) {
      return size_t(i + index_of_first_set_byte(is_match));
    }
  }

  if (i < view.size()) {
    uint64_t word{};
    memcpy(&word, view.data() + i, view.size() - i);
    word = swap_bytes_if_big_endian(word);
    uint64_t xor1 = word ^ mask1;
    uint64_t xor2 = word ^ mask2;
    uint64_t xor3 = word ^ mask3;
    uint64_t xor4 = word ^ mask4;
    uint64_t is_match = has_zero_byte(xor1) | has_zero_byte(xor2) |
                        has_zero_byte(xor3) | has_zero_byte(xor4);
    if (is_match) {
      return size_t(i + index_of_first_set_byte(is_match));
    }
  }

  return view.size();
}

ada_really_inline size_t
find_authority_delimiter(std::string_view view) noexcept {
  auto has_zero_byte = [](uint64_t v) {
    return ((v - 0x0101010101010101) & ~(v)&0x8080808080808080);
  };
  auto index_of_first_set_byte = [](uint64_t v) {
    return ((((v - 1) & 0x101010101010101) * 0x101010101010101) >> 56) - 1;
  };
  auto broadcast = [](uint8_t v) -> uint64_t {
    return 0x101010101010101ull * v;
  };
  size_t i = 0;
  uint64_t mask1 = broadcast('@');
  uint64_t mask2 = broadcast('/');
  uint64_t mask3 = broadcast('?');

  for (; i + 7 < view.size(); i += 8) {
    uint64_t word{};
    memcpy(&word, view.data() + i, sizeof(word));
    word = swap_bytes_if_big_endian(word);
    uint64_t xor1 = word ^ mask1;
    uint64_t xor2 = word ^ mask2;
    uint64_t xor3 = word ^ mask3;
    uint64_t is_match =
        has_zero_byte(xor1) | has_zero_byte(xor2) | has_zero_byte(xor3);
    if (is_match) {
      return size_t(i + index_of_first_set_byte(is_match));
    }
  }

  if (i < view.size()) {
    uint64_t word{};
    memcpy(&word, view.data() + i, view.size() - i);
    word = swap_bytes_if_big_endian(word);
    uint64_t xor1 = word ^ mask1;
    uint64_t xor2 = word ^ mask2;
    uint64_t xor3 = word ^ mask3;
    uint64_t is_match =
        has_zero_byte(xor1) | has_zero_byte(xor2) | has_zero_byte(xor3);
    if (is_match) {
      return size_t(i + index_of_first_set_byte(is_match));
    }
  }

  return view.size();
}

}  // namespace ada::helpers

namespace ada {
ada_warn_unused std::string to_string(ada::state state) {
  return ada::helpers::get_state(state);
}
}  // namespace ada
/* end file src/helpers.cpp */
/* begin file src/url.cpp */

#include <numeric>
#include <algorithm>
#include <string>

namespace ada {

bool url::parse_opaque_host(std::string_view input) {
  ada_log("parse_opaque_host ", input, "[", input.size(), " bytes]");
  if (std::any_of(input.begin(), input.end(),
                  ada::unicode::is_forbidden_host_code_point)) {
    return is_valid = false;
  }

  // Return the result of running UTF-8 percent-encode on input using the C0
  // control percent-encode set.
  host = ada::unicode::percent_encode(
      input, ada::character_sets::C0_CONTROL_PERCENT_ENCODE);
  return true;
}

bool url::parse_ipv4(std::string_view input) {
  ada_log("parse_ipv4 ", input, "[", input.size(), " bytes]");
  if (input.back() == '.') {
    input.remove_suffix(1);
  }
  size_t digit_count{0};
  int pure_decimal_count = 0;  // entries that are decimal
  std::string_view original_input =
      input;  // we might use this if pure_decimal_count == 4.
  uint64_t ipv4{0};
  // we could unroll for better performance?
  for (; (digit_count < 4) && !(input.empty()); digit_count++) {
    uint32_t
        segment_result{};  // If any number exceeds 32 bits, we have an error.
    bool is_hex = checkers::has_hex_prefix(input);
    if (is_hex && ((input.length() == 2) ||
                   ((input.length() > 2) && (input[2] == '.')))) {
      // special case
      segment_result = 0;
      input.remove_prefix(2);
    } else {
      std::from_chars_result r;
      if (is_hex) {
        r = std::from_chars(input.data() + 2, input.data() + input.size(),
                            segment_result, 16);
      } else if ((input.length() >= 2) && input[0] == '0' &&
                 checkers::is_digit(input[1])) {
        r = std::from_chars(input.data() + 1, input.data() + input.size(),
                            segment_result, 8);
      } else {
        pure_decimal_count++;
        r = std::from_chars(input.data(), input.data() + input.size(),
                            segment_result, 10);
      }
      if (r.ec != std::errc()) {
        return is_valid = false;
      }
      input.remove_prefix(r.ptr - input.data());
    }
    if (input.empty()) {
      // We have the last value.
      // At this stage, ipv4 contains digit_count*8 bits.
      // So we have 32-digit_count*8 bits left.
      if (segment_result > (uint64_t(1) << (32 - digit_count * 8))) {
        return is_valid = false;
      }
      ipv4 <<= (32 - digit_count * 8);
      ipv4 |= segment_result;
      goto final;
    } else {
      // There is more, so that the value must no be larger than 255
      // and we must have a '.'.
      if ((segment_result > 255) || (input[0] != '.')) {
        return is_valid = false;
      }
      ipv4 <<= 8;
      ipv4 |= segment_result;
      input.remove_prefix(1);  // remove '.'
    }
  }
  if ((digit_count != 4) || (!input.empty())) {
    return is_valid = false;
  }
final:
  // We could also check r.ptr to see where the parsing ended.
  if (pure_decimal_count == 4) {
    host = original_input;  // The original input was already all decimal and we
                            // validated it.
  } else {
    host = ada::serializers::ipv4(ipv4);  // We have to reserialize the address.
  }
  return true;
}

bool url::parse_ipv6(std::string_view input) {
  ada_log("parse_ipv6 ", input, "[", input.size(), " bytes]");

  if (input.empty()) {
    return is_valid = false;
  }
  // Let address be a new IPv6 address whose IPv6 pieces are all 0.
  std::array<uint16_t, 8> address{};

  // Let pieceIndex be 0.
  int piece_index = 0;

  // Let compress be null.
  std::optional<int> compress{};

  // Let pointer be a pointer for input.
  std::string_view::iterator pointer = input.begin();

  // If c is U+003A (:), then:
  if (input[0] == ':') {
    // If remaining does not start with U+003A (:), validation error, return
    // failure.
    if (input.size() == 1 || input[1] != ':') {
      ada_log("parse_ipv6 starts with : but the rest does not start with :");
      return is_valid = false;
    }

    // Increase pointer by 2.
    pointer += 2;

    // Increase pieceIndex by 1 and then set compress to pieceIndex.
    compress = ++piece_index;
  }

  // While c is not the EOF code point:
  while (pointer != input.end()) {
    // If pieceIndex is 8, validation error, return failure.
    if (piece_index == 8) {
      ada_log("parse_ipv6 piece_index == 8");
      return is_valid = false;
    }

    // If c is U+003A (:), then:
    if (*pointer == ':') {
      // If compress is non-null, validation error, return failure.
      if (compress.has_value()) {
        ada_log("parse_ipv6 compress is non-null");
        return is_valid = false;
      }

      // Increase pointer and pieceIndex by 1, set compress to pieceIndex, and
      // then continue.
      pointer++;
      compress = ++piece_index;
      continue;
    }

    // Let value and length be 0.
    uint16_t value = 0, length = 0;

    // While length is less than 4 and c is an ASCII hex digit,
    // set value to value times 0x10 + c interpreted as hexadecimal number, and
    // increase pointer and length by 1.
    while (length < 4 && pointer != input.end() &&
           unicode::is_ascii_hex_digit(*pointer)) {
      // https://stackoverflow.com/questions/39060852/why-does-the-addition-of-two-shorts-return-an-int
      value = uint16_t(value * 0x10 + unicode::convert_hex_to_binary(*pointer));
      pointer++;
      length++;
    }

    // If c is U+002E (.), then:
    if (pointer != input.end() && *pointer == '.') {
      // If length is 0, validation error, return failure.
      if (length == 0) {
        ada_log("parse_ipv6 length is 0");
        return is_valid = false;
      }

      // Decrease pointer by length.
      pointer -= length;

      // If pieceIndex is greater than 6, validation error, return failure.
      if (piece_index > 6) {
        ada_log("parse_ipv6 piece_index > 6");
        return is_valid = false;
      }

      // Let numbersSeen be 0.
      int numbers_seen = 0;

      // While c is not the EOF code point:
      while (pointer != input.end()) {
        // Let ipv4Piece be null.
        std::optional<uint16_t> ipv4_piece{};

        // If numbersSeen is greater than 0, then:
        if (numbers_seen > 0) {
          // If c is a U+002E (.) and numbersSeen is less than 4, then increase
          // pointer by 1.
          if (*pointer == '.' && numbers_seen < 4) {
            pointer++;
          }
          // Otherwise, validation error, return failure.
          else {
            ada_log("parse_ipv6 Otherwise, validation error, return failure");
            return is_valid = false;
          }
        }

        // If c is not an ASCII digit, validation error, return failure.
        if (pointer == input.end() || !checkers::is_digit(*pointer)) {
          ada_log(
              "parse_ipv6 If c is not an ASCII digit, validation error, return "
              "failure");
          return is_valid = false;
        }

        // While c is an ASCII digit:
        while (pointer != input.end() && checkers::is_digit(*pointer)) {
          // Let number be c interpreted as decimal number.
          int number = *pointer - '0';

          // If ipv4Piece is null, then set ipv4Piece to number.
          if (!ipv4_piece.has_value()) {
            ipv4_piece = number;
          }
          // Otherwise, if ipv4Piece is 0, validation error, return failure.
          else if (ipv4_piece == 0) {
            ada_log("parse_ipv6 if ipv4Piece is 0, validation error");
            return is_valid = false;
          }
          // Otherwise, set ipv4Piece to ipv4Piece times 10 + number.
          else {
            ipv4_piece = *ipv4_piece * 10 + number;
          }

          // If ipv4Piece is greater than 255, validation error, return failure.
          if (ipv4_piece > 255) {
            ada_log("parse_ipv6 ipv4_piece > 255");
            return is_valid = false;
          }

          // Increase pointer by 1.
          pointer++;
        }

        // Set address[pieceIndex] to address[pieceIndex] times 0x100 +
        // ipv4Piece.
        // https://stackoverflow.com/questions/39060852/why-does-the-addition-of-two-shorts-return-an-int
        address[piece_index] =
            uint16_t(address[piece_index] * 0x100 + *ipv4_piece);

        // Increase numbersSeen by 1.
        numbers_seen++;

        // If numbersSeen is 2 or 4, then increase pieceIndex by 1.
        if (numbers_seen == 2 || numbers_seen == 4) {
          piece_index++;
        }
      }

      // If numbersSeen is not 4, validation error, return failure.
      if (numbers_seen != 4) {
        return is_valid = false;
      }

      // Break.
      break;
    }
    // Otherwise, if c is U+003A (:):
    else if ((pointer != input.end()) && (*pointer == ':')) {
      // Increase pointer by 1.
      pointer++;

      // If c is the EOF code point, validation error, return failure.
      if (pointer == input.end()) {
        ada_log(
            "parse_ipv6 If c is the EOF code point, validation error, return "
            "failure");
        return is_valid = false;
      }
    }
    // Otherwise, if c is not the EOF code point, validation error, return
    // failure.
    else if (pointer != input.end()) {
      ada_log(
          "parse_ipv6 Otherwise, if c is not the EOF code point, validation "
          "error, return failure");
      return is_valid = false;
    }

    // Set address[pieceIndex] to value.
    address[piece_index] = value;

    // Increase pieceIndex by 1.
    piece_index++;
  }

  // If compress is non-null, then:
  if (compress.has_value()) {
    // Let swaps be pieceIndex - compress.
    int swaps = piece_index - *compress;

    // Set pieceIndex to 7.
    piece_index = 7;

    // While pieceIndex is not 0 and swaps is greater than 0,
    // swap address[pieceIndex] with address[compress + swaps - 1], and then
    // decrease both pieceIndex and swaps by 1.
    while (piece_index != 0 && swaps > 0) {
      std::swap(address[piece_index], address[*compress + swaps - 1]);
      piece_index--;
      swaps--;
    }
  }
  // Otherwise, if compress is null and pieceIndex is not 8, validation error,
  // return failure.
  else if (piece_index != 8) {
    ada_log(
        "parse_ipv6 if compress is null and pieceIndex is not 8, validation "
        "error, return failure");
    return is_valid = false;
  }
  host = ada::serializers::ipv6(address);
  ada_log("parse_ipv6 ", *host);
  return true;
}

template <bool has_state_override>
ada_really_inline bool url::parse_scheme(const std::string_view input) {
  auto parsed_type = ada::scheme::get_scheme_type(input);
  bool is_input_special = (parsed_type != ada::scheme::NOT_SPECIAL);
  /**
   * In the common case, we will immediately recognize a special scheme (e.g.,
   *http, https), in which case, we can go really fast.
   **/
  if (is_input_special) {  // fast path!!!
    if (has_state_override) {
      // If url's scheme is not a special scheme and buffer is a special scheme,
      // then return.
      if (is_special() != is_input_special) {
        return true;
      }

      // If url includes credentials or has a non-null port, and buffer is
      // "file", then return.
      if ((has_credentials() || port.has_value()) &&
          parsed_type == ada::scheme::type::FILE) {
        return true;
      }

      // If url's scheme is "file" and its host is an empty host, then return.
      // An empty host is the empty string.
      if (type == ada::scheme::type::FILE && host.has_value() &&
          host.value().empty()) {
        return true;
      }
    }

    type = parsed_type;

    if (has_state_override) {
      // This is uncommon.
      uint16_t urls_scheme_port = get_special_port();

      if (urls_scheme_port) {
        // If url's port is url's scheme's default port, then set url's port to
        // null.
        if (port.has_value() && *port == urls_scheme_port) {
          port = std::nullopt;
        }
      }
    }
  } else {  // slow path
    std::string _buffer = std::string(input);
    // Next function is only valid if the input is ASCII and returns false
    // otherwise, but it seems that we always have ascii content so we do not
    // need to check the return value.
    // bool is_ascii =
    unicode::to_lower_ascii(_buffer.data(), _buffer.size());

    if (has_state_override) {
      // If url's scheme is a special scheme and buffer is not a special scheme,
      // then return. If url's scheme is not a special scheme and buffer is a
      // special scheme, then return.
      if (is_special() != ada::scheme::is_special(_buffer)) {
        return true;
      }

      // If url includes credentials or has a non-null port, and buffer is
      // "file", then return.
      if ((has_credentials() || port.has_value()) && _buffer == "file") {
        return true;
      }

      // If url's scheme is "file" and its host is an empty host, then return.
      // An empty host is the empty string.
      if (type == ada::scheme::type::FILE && host.has_value() &&
          host.value().empty()) {
        return true;
      }
    }

    set_scheme(std::move(_buffer));

    if (has_state_override) {
      // This is uncommon.
      uint16_t urls_scheme_port = get_special_port();

      if (urls_scheme_port) {
        // If url's port is url's scheme's default port, then set url's port to
        // null.
        if (port.has_value() && *port == urls_scheme_port) {
          port = std::nullopt;
        }
      }
    }
  }

  return true;
}

ada_really_inline bool url::parse_host(std::string_view input) {
  ada_log("parse_host ", input, "[", input.size(), " bytes]");
  if (input.empty()) {
    return is_valid = false;
  }  // technically unnecessary.
  // If input starts with U+005B ([), then:
  if (input[0] == '[') {
    // If input does not end with U+005D (]), validation error, return failure.
    if (input.back() != ']') {
      return is_valid = false;
    }
    ada_log("parse_host ipv6");

    // Return the result of IPv6 parsing input with its leading U+005B ([) and
    // trailing U+005D (]) removed.
    input.remove_prefix(1);
    input.remove_suffix(1);
    return parse_ipv6(input);
  }

  // If isNotSpecial is true, then return the result of opaque-host parsing
  // input.
  if (!is_special()) {
    return parse_opaque_host(input);
  }
  // Let domain be the result of running UTF-8 decode without BOM on the
  // percent-decoding of input. Let asciiDomain be the result of running domain
  // to ASCII with domain and false. The most common case is an ASCII input, in
  // which case we do not need to call the expensive 'to_ascii' if a few
  // conditions are met: no '%' and no 'xn-' subsequence.
  std::string buffer = std::string(input);
  // This next function checks that the result is ascii, but we are going to
  // to check anyhow with is_forbidden.
  // bool is_ascii =
  unicode::to_lower_ascii(buffer.data(), buffer.size());
  bool is_forbidden = unicode::contains_forbidden_domain_code_point(
      buffer.data(), buffer.size());
  if (is_forbidden == 0 && buffer.find("xn-") == std::string_view::npos) {
    // fast path
    host = std::move(buffer);
    if (checkers::is_ipv4(host.value())) {
      ada_log("parse_host fast path ipv4");
      return parse_ipv4(host.value());
    }
    ada_log("parse_host fast path ", *host);
    return true;
  }
  ada_log("parse_host calling to_ascii");
  is_valid = ada::unicode::to_ascii(host, input, input.find('%'));
  if (!is_valid) {
    ada_log("parse_host to_ascii returns false");
    return is_valid = false;
  }

  if (std::any_of(host.value().begin(), host.value().end(),
                  ada::unicode::is_forbidden_domain_code_point)) {
    host = std::nullopt;
    return is_valid = false;
  }

  // If asciiDomain ends in a number, then return the result of IPv4 parsing
  // asciiDomain.
  if (checkers::is_ipv4(host.value())) {
    ada_log("parse_host got ipv4", *host);
    return parse_ipv4(host.value());
  }

  return true;
}

ada_really_inline void url::parse_path(std::string_view input) {
  ada_log("parse_path ", input);
  std::string tmp_buffer;
  std::string_view internal_input;
  if (unicode::has_tabs_or_newline(input)) {
    tmp_buffer = input;
    // Optimization opportunity: Instead of copying and then pruning, we could
    // just directly build the string from user_input.
    helpers::remove_ascii_tab_or_newline(tmp_buffer);
    internal_input = tmp_buffer;
  } else {
    internal_input = input;
  }

  // If url is special, then:
  if (is_special()) {
    if (internal_input.empty()) {
      path = "/";
    } else if ((internal_input[0] == '/') || (internal_input[0] == '\\')) {
      helpers::parse_prepared_path(internal_input.substr(1), type, path);
      return;
    } else {
      helpers::parse_prepared_path(internal_input, type, path);
      return;
    }
  } else if (!internal_input.empty()) {
    if (internal_input[0] == '/') {
      helpers::parse_prepared_path(internal_input.substr(1), type, path);
      return;
    } else {
      helpers::parse_prepared_path(internal_input, type, path);
      return;
    }
  } else {
    if (!host.has_value()) {
      path = "/";
    }
  }
  return;
}

std::string url::to_string() const {
  if (!is_valid) {
    return "null";
  }
  std::string answer;
  auto back = std::back_insert_iterator(answer);
  answer.append("{\n");
  answer.append("\t\"protocol\":\"");
  helpers::encode_json(get_protocol(), back);
  answer.append("\",\n");
  if (has_credentials()) {
    answer.append("\t\"username\":\"");
    helpers::encode_json(username, back);
    answer.append("\",\n");
    answer.append("\t\"password\":\"");
    helpers::encode_json(password, back);
    answer.append("\",\n");
  }
  if (host.has_value()) {
    answer.append("\t\"host\":\"");
    helpers::encode_json(host.value(), back);
    answer.append("\",\n");
  }
  if (port.has_value()) {
    answer.append("\t\"port\":\"");
    answer.append(std::to_string(port.value()));
    answer.append("\",\n");
  }
  answer.append("\t\"path\":\"");
  helpers::encode_json(path, back);
  answer.append("\",\n");
  answer.append("\t\"opaque path\":");
  answer.append((has_opaque_path ? "true" : "false"));
  if (has_search()) {
    answer.append(",\n");
    answer.append("\t\"query\":\"");
    helpers::encode_json(query.value(), back);
    answer.append("\"");
  }
  if (hash.has_value()) {
    answer.append(",\n");
    answer.append("\t\"hash\":\"");
    helpers::encode_json(hash.value(), back);
    answer.append("\"");
  }
  answer.append("\n}");
  return answer;
}

[[nodiscard]] bool url::has_valid_domain() const noexcept {
  if (!host.has_value()) {
    return false;
  }
  return checkers::verify_dns_length(host.value());
}

}  // namespace ada
/* end file src/url.cpp */
/* begin file src/url-getters.cpp */
/**
 * @file url-getters.cpp
 * Includes all the getters of `ada::url`
 */

#include <algorithm>
#include <string>

namespace ada {
[[nodiscard]] std::string url::get_origin() const noexcept {
  if (is_special()) {
    // Return a new opaque origin.
    if (type == scheme::FILE) {
      return "null";
    }
    return ada::helpers::concat(get_protocol(), "//", get_host());
  }

  if (non_special_scheme == "blob") {
    if (!path.empty()) {
      auto result = ada::parse<ada::url>(path);
      if (result &&
          (result->type == scheme::HTTP || result->type == scheme::HTTPS)) {
        // If pathURL's scheme is not "http" and not "https", then return a
        // new opaque origin.
        return ada::helpers::concat(result->get_protocol(), "//",
                                    result->get_host());
      }
    }
  }

  // Return a new opaque origin.
  return "null";
}

[[nodiscard]] std::string url::get_protocol() const noexcept {
  if (is_special()) {
    return helpers::concat(ada::scheme::details::is_special_list[type], ":");
  }
  // We only move the 'scheme' if it is non-special.
  return helpers::concat(non_special_scheme, ":");
}

[[nodiscard]] std::string url::get_host() const noexcept {
  // If url's host is null, then return the empty string.
  // If url's port is null, return url's host, serialized.
  // Return url's host, serialized, followed by U+003A (:) and url's port,
  // serialized.
  if (!host.has_value()) {
    return "";
  }
  if (port.has_value()) {
    return host.value() + ":" + get_port();
  }
  return host.value();
}

[[nodiscard]] std::string url::get_hostname() const noexcept {
  return host.value_or("");
}

[[nodiscard]] const std::string_view url::get_pathname() const noexcept {
  return path;
}

[[nodiscard]] std::string url::get_search() const noexcept {
  // If this's URL's query is either null or the empty string, then return the
  // empty string. Return U+003F (?), followed by this's URL's query.
  return (!query.has_value() || (query.value().empty())) ? ""
                                                         : "?" + query.value();
}

[[nodiscard]] const std::string& url::get_username() const noexcept {
  return username;
}

[[nodiscard]] const std::string& url::get_password() const noexcept {
  return password;
}

[[nodiscard]] std::string url::get_port() const noexcept {
  return port.has_value() ? std::to_string(port.value()) : "";
}

[[nodiscard]] std::string url::get_hash() const noexcept {
  // If this's URL's fragment is either null or the empty string, then return
  // the empty string. Return U+0023 (#), followed by this's URL's fragment.
  return (!hash.has_value() || (hash.value().empty())) ? ""
                                                       : "#" + hash.value();
}

}  // namespace ada
/* end file src/url-getters.cpp */
/* begin file src/url-setters.cpp */
/**
 * @file url-setters.cpp
 * Includes all the setters of `ada::url`
 */

#include <optional>
#include <string>

namespace ada {

template <bool override_hostname>
bool url::set_host_or_hostname(const std::string_view input) {
  if (has_opaque_path) {
    return false;
  }

  std::optional<std::string> previous_host = host;
  std::optional<uint16_t> previous_port = port;

  size_t host_end_pos = input.find('#');
  std::string _host(input.data(), host_end_pos != std::string_view::npos
                                      ? host_end_pos
                                      : input.size());
  helpers::remove_ascii_tab_or_newline(_host);
  std::string_view new_host(_host);

  // If url's scheme is "file", then set state to file host state, instead of
  // host state.
  if (type != ada::scheme::type::FILE) {
    std::string_view host_view(_host.data(), _host.length());
    auto [location, found_colon] =
        helpers::get_host_delimiter_location(is_special(), host_view);

    // Otherwise, if c is U+003A (:) and insideBrackets is false, then:
    // Note: the 'found_colon' value is true if and only if a colon was
    // encountered while not inside brackets.
    if (found_colon) {
      if (override_hostname) {
        return false;
      }
      std::string_view buffer = new_host.substr(location + 1);
      if (!buffer.empty()) {
        set_port(buffer);
      }
    }
    // If url is special and host_view is the empty string, validation error,
    // return failure. Otherwise, if state override is given, host_view is the
    // empty string, and either url includes credentials or url's port is
    // non-null, return.
    else if (host_view.empty() &&
             (is_special() || has_credentials() || port.has_value())) {
      return false;
    }

    // Let host be the result of host parsing host_view with url is not special.
    if (host_view.empty()) {
      host = "";
      return true;
    }

    bool succeeded = parse_host(host_view);
    if (!succeeded) {
      host = previous_host;
      update_base_port(previous_port);
    }
    return succeeded;
  }

  size_t location = new_host.find_first_of("/\\?");
  if (location != std::string_view::npos) {
    new_host.remove_suffix(new_host.length() - location);
  }

  if (new_host.empty()) {
    // Set url's host to the empty string.
    host = "";
  } else {
    // Let host be the result of host parsing buffer with url is not special.
    if (!parse_host(new_host)) {
      host = previous_host;
      update_base_port(previous_port);
      return false;
    }

    // If host is "localhost", then set host to the empty string.
    if (host.has_value() && host.value() == "localhost") {
      host = "";
    }
  }
  return true;
}

bool url::set_host(const std::string_view input) {
  return set_host_or_hostname<false>(input);
}

bool url::set_hostname(const std::string_view input) {
  return set_host_or_hostname<true>(input);
}

bool url::set_username(const std::string_view input) {
  if (cannot_have_credentials_or_port()) {
    return false;
  }
  username = ada::unicode::percent_encode(
      input, character_sets::USERINFO_PERCENT_ENCODE);
  return true;
}

bool url::set_password(const std::string_view input) {
  if (cannot_have_credentials_or_port()) {
    return false;
  }
  password = ada::unicode::percent_encode(
      input, character_sets::USERINFO_PERCENT_ENCODE);
  return true;
}

bool url::set_port(const std::string_view input) {
  if (cannot_have_credentials_or_port()) {
    return false;
  }
  std::string trimmed(input);
  helpers::remove_ascii_tab_or_newline(trimmed);
  if (trimmed.empty()) {
    port = std::nullopt;
    return true;
  }
  // Input should not start with control characters.
  if (ada::unicode::is_c0_control_or_space(trimmed.front())) {
    return false;
  }
  // Input should contain at least one ascii digit.
  if (input.find_first_of("0123456789") == std::string_view::npos) {
    return false;
  }

  // Revert changes if parse_port fails.
  std::optional<uint16_t> previous_port = port;
  parse_port(trimmed);
  if (is_valid) {
    return true;
  }
  port = previous_port;
  is_valid = true;
  return false;
}

void url::set_hash(const std::string_view input) {
  if (input.empty()) {
    hash = std::nullopt;
    helpers::strip_trailing_spaces_from_opaque_path(*this);
    return;
  }

  std::string new_value;
  new_value = input[0] == '#' ? input.substr(1) : input;
  helpers::remove_ascii_tab_or_newline(new_value);
  hash = unicode::percent_encode(new_value,
                                 ada::character_sets::FRAGMENT_PERCENT_ENCODE);
  return;
}

void url::set_search(const std::string_view input) {
  if (input.empty()) {
    query = std::nullopt;
    helpers::strip_trailing_spaces_from_opaque_path(*this);
    return;
  }

  std::string new_value;
  new_value = input[0] == '?' ? input.substr(1) : input;
  helpers::remove_ascii_tab_or_newline(new_value);

  auto query_percent_encode_set =
      is_special() ? ada::character_sets::SPECIAL_QUERY_PERCENT_ENCODE
                   : ada::character_sets::QUERY_PERCENT_ENCODE;

  query = ada::unicode::percent_encode(std::string_view(new_value),
                                       query_percent_encode_set);
}

bool url::set_pathname(const std::string_view input) {
  if (has_opaque_path) {
    return false;
  }
  path = "";
  parse_path(input);
  return true;
}

bool url::set_protocol(const std::string_view input) {
  std::string view(input);
  helpers::remove_ascii_tab_or_newline(view);
  if (view.empty()) {
    return true;
  }

  // Schemes should start with alpha values.
  if (!checkers::is_alpha(view[0])) {
    return false;
  }

  view.append(":");

  std::string::iterator pointer =
      std::find_if_not(view.begin(), view.end(), unicode::is_alnum_plus);

  if (pointer != view.end() && *pointer == ':') {
    return parse_scheme<true>(
        std::string_view(view.data(), pointer - view.begin()));
  }
  return false;
}

bool url::set_href(const std::string_view input) {
  ada::result<ada::url> out = ada::parse<ada::url>(input);

  if (out) {
    username = out->username;
    password = out->password;
    host = out->host;
    port = out->port;
    path = out->path;
    query = out->query;
    hash = out->hash;
    type = out->type;
    non_special_scheme = out->non_special_scheme;
    has_opaque_path = out->has_opaque_path;
  }

  return out.has_value();
}

}  // namespace ada
/* end file src/url-setters.cpp */
/* begin file src/parser.cpp */

#include <numeric>
#include <limits>

namespace ada::parser {

template <class result_type>
result_type parse_url(std::string_view user_input,
                      const result_type* base_url) {
  // We can specialize the implementation per type.
  // Important: result_type_is_ada_url is evaluated at *compile time*. This
  // means that doing if constexpr(result_type_is_ada_url) { something } else {
  // something else } is free (at runtime). This means that ada::url_aggregator
  // and ada::url **do not have to support the exact same API**.
  constexpr bool result_type_is_ada_url =
      std::is_same<ada::url, result_type>::value;
  constexpr bool result_type_is_ada_url_aggregator =
      std::is_same<ada::url_aggregator, result_type>::value;
  static_assert(result_type_is_ada_url ||
                result_type_is_ada_url_aggregator);  // We don't support
                                                     // anything else for now.

  ada_log("ada::parser::parse_url('", user_input, "' [", user_input.size(),
          " bytes],", (base_url != nullptr ? base_url->to_string() : "null"),
          ")");

  ada::state state = ada::state::SCHEME_START;
  result_type url{};

  // We refuse to parse URL strings that exceed 4GB. Such strings are almost
  // surely the result of a bug or are otherwise a security concern.
  if (user_input.size() > std::numeric_limits<uint32_t>::max()) {
    url.is_valid = false;
  }
  // Going forward, user_input.size() is in [0,
  // std::numeric_limits<uint32_t>::max). If we are provided with an invalid
  // base, or the optional_url was invalid, we must return.
  if (base_url != nullptr) {
    url.is_valid &= base_url->is_valid;
  }
  if (!url.is_valid) {
    return url;
  }
  if constexpr (result_type_is_ada_url_aggregator) {
    // Most of the time, we just need user_input.size().
    // In some instances, we may need a bit more.
    ///////////////////////////
    // This is *very* important. This line should *not* be removed
    // hastily. There are principled reasons why reserve is important
    // for performance. If you have a benchmark with small inputs,
    // it may not matter, but in other instances, it could.
    ////
    // This rounds up to the next power of two.
    // We know that user_input.size() is in [0,
    // std::numeric_limits<uint32_t>::max).
    uint32_t reserve_capacity =
        (0xFFFFFFFF >>
         helpers::leading_zeroes(uint32_t(1 | user_input.size()))) +
        1;
    url.reserve(reserve_capacity);
    //
    //
    //
  }
  std::string tmp_buffer;
  std::string_view internal_input;
  if (unicode::has_tabs_or_newline(user_input)) {
    tmp_buffer = user_input;
    // Optimization opportunity: Instead of copying and then pruning, we could
    // just directly build the string from user_input.
    helpers::remove_ascii_tab_or_newline(tmp_buffer);
    internal_input = tmp_buffer;
  } else {
    internal_input = user_input;
  }

  // Leading and trailing control characters are uncommon and easy to deal with
  // (no performance concern).
  std::string_view url_data = internal_input;
  helpers::trim_c0_whitespace(url_data);

  // Optimization opportunity. Most websites do not have fragment.
  std::optional<std::string_view> fragment = helpers::prune_hash(url_data);
  // We add it last so that an implementation like ada::url_aggregator
  // can append it last to its internal buffer, thus improving performance.

  // Here url_data no longer has its fragment.
  // We are going to access the data from url_data (it is immutable).
  // At any given time, we are pointing at byte 'input_position' in url_data.
  // The input_position variable should range from 0 to input_size.
  // It is illegal to access url_data at input_size.
  size_t input_position = 0;
  const size_t input_size = url_data.size();
  // Keep running the following state machine by switching on state.
  // If after a run pointer points to the EOF code point, go to the next step.
  // Otherwise, increase pointer by 1 and continue with the state machine.
  // We never decrement input_position.
  while (input_position <= input_size) {
    ada_log("In parsing at ", input_position, " out of ", input_size,
            " in state ", ada::to_string(state));
    switch (state) {
      case ada::state::SCHEME_START: {
        ada_log("SCHEME_START ", helpers::substring(url_data, input_position));
        // If c is an ASCII alpha, append c, lowercased, to buffer, and set
        // state to scheme state.
        if ((input_position != input_size) &&
            checkers::is_alpha(url_data[input_position])) {
          state = ada::state::SCHEME;
          input_position++;
        } else {
          // Otherwise, if state override is not given, set state to no scheme
          // state and decrease pointer by 1.
          state = ada::state::NO_SCHEME;
        }
        break;
      }
      case ada::state::SCHEME: {
        ada_log("SCHEME ", helpers::substring(url_data, input_position));
        // If c is an ASCII alphanumeric, U+002B (+), U+002D (-), or U+002E (.),
        // append c, lowercased, to buffer.
        while ((input_position != input_size) &&
               (ada::unicode::is_alnum_plus(url_data[input_position]))) {
          input_position++;
        }
        // Otherwise, if c is U+003A (:), then:
        if ((input_position != input_size) &&
            (url_data[input_position] == ':')) {
          ada_log("SCHEME the scheme should be ",
                  url_data.substr(0, input_position));
          if constexpr (result_type_is_ada_url) {
            if (!url.parse_scheme(url_data.substr(0, input_position))) {
              return url;
            }
          } else {
            // we pass the colon along instead of painfully adding it back.
            if (!url.parse_scheme_with_colon(
                    url_data.substr(0, input_position + 1))) {
              return url;
            }
          }
          ada_log("SCHEME the scheme is ", url.get_protocol());

          // If url's scheme is "file", then:
          if (url.type == ada::scheme::type::FILE) {
            // Set state to file state.
            state = ada::state::FILE;
          }
          // Otherwise, if url is special, base is non-null, and base's scheme
          // is url's scheme: Note: Doing base_url->scheme is unsafe if base_url
          // != nullptr is false.
          else if (url.is_special() && base_url != nullptr &&
                   base_url->type == url.type) {
            // Set state to special relative or authority state.
            state = ada::state::SPECIAL_RELATIVE_OR_AUTHORITY;
          }
          // Otherwise, if url is special, set state to special authority
          // slashes state.
          else if (url.is_special()) {
            state = ada::state::SPECIAL_AUTHORITY_SLASHES;
          }
          // Otherwise, if remaining starts with an U+002F (/), set state to
          // path or authority state and increase pointer by 1.
          else if (input_position + 1 < input_size &&
                   url_data[input_position + 1] == '/') {
            state = ada::state::PATH_OR_AUTHORITY;
            input_position++;
          }
          // Otherwise, set url's path to the empty string and set state to
          // opaque path state.
          else {
            state = ada::state::OPAQUE_PATH;
          }
        }
        // Otherwise, if state override is not given, set buffer to the empty
        // string, state to no scheme state, and start over (from the first code
        // point in input).
        else {
          state = ada::state::NO_SCHEME;
          input_position = 0;
          break;
        }
        input_position++;
        break;
      }
      case ada::state::NO_SCHEME: {
        ada_log("NO_SCHEME ", helpers::substring(url_data, input_position));
        // If base is null, or base has an opaque path and c is not U+0023 (#),
        // validation error, return failure.
        if (base_url == nullptr ||
            (base_url->has_opaque_path && !fragment.has_value())) {
          ada_log("NO_SCHEME validation error");
          url.is_valid = false;
          return url;
        }
        // Otherwise, if base has an opaque path and c is U+0023 (#),
        // set url's scheme to base's scheme, url's path to base's path, url's
        // query to base's query, and set state to fragment state.
        else if (base_url->has_opaque_path && fragment.has_value() &&
                 input_position == input_size) {
          ada_log("NO_SCHEME opaque base with fragment");
          url.copy_scheme(*base_url);
          url.has_opaque_path = base_url->has_opaque_path;

          if constexpr (result_type_is_ada_url) {
            url.path = base_url->path;
            url.query = base_url->query;
          } else {
            url.update_base_pathname(base_url->get_pathname());
            url.update_base_search(base_url->get_search());
          }
          url.update_unencoded_base_hash(*fragment);
          return url;
        }
        // Otherwise, if base's scheme is not "file", set state to relative
        // state and decrease pointer by 1.
        else if (base_url->type != ada::scheme::type::FILE) {
          ada_log("NO_SCHEME non-file relative path");
          state = ada::state::RELATIVE_SCHEME;
        }
        // Otherwise, set state to file state and decrease pointer by 1.
        else {
          ada_log("NO_SCHEME file base type");
          state = ada::state::FILE;
        }
        break;
      }
      case ada::state::AUTHORITY: {
        ada_log("AUTHORITY ", helpers::substring(url_data, input_position));
        // most URLs have no @. Having no @ tells us that we don't have to worry
        // about AUTHORITY. Of course, we could have @ and still not have to
        // worry about AUTHORITY.
        // TODO: Instead of just collecting a bool, collect the location of the
        // '@' and do something useful with it.
        // TODO: We could do various processing early on, using a single pass
        // over the string to collect information about it, e.g., telling us
        // whether there is a @ and if so, where (or how many).
        const bool contains_ampersand =
            (url_data.find('@', input_position) != std::string_view::npos);

        if (!contains_ampersand) {
          state = ada::state::HOST;
          break;
        }
        bool at_sign_seen{false};
        bool password_token_seen{false};
        /**
         * We expect something of the sort...
         * https://user:pass@example.com:1234/foo/bar?baz#quux
         * --------^
         */
        do {
          std::string_view view = helpers::substring(url_data, input_position);
          // The delimiters are @, /, ? \\.
          size_t location =
              url.is_special() ? helpers::find_authority_delimiter_special(view)
                               : helpers::find_authority_delimiter(view);
          std::string_view authority_view(view.data(), location);
          size_t end_of_authority = input_position + authority_view.size();
          // If c is U+0040 (@), then:
          if ((end_of_authority != input_size) &&
              (url_data[end_of_authority] == '@')) {
            // If atSignSeen is true, then prepend "%40" to buffer.
            if (at_sign_seen) {
              if (password_token_seen) {
                if constexpr (result_type_is_ada_url) {
                  url.password += "%40";
                } else {
                  url.append_base_password("%40");
                }
              } else {
                if constexpr (result_type_is_ada_url) {
                  url.username += "%40";
                } else {
                  url.append_base_username("%40");
                }
              }
            }

            at_sign_seen = true;

            if (!password_token_seen) {
              size_t password_token_location = authority_view.find(':');
              password_token_seen =
                  password_token_location != std::string_view::npos;

              if (!password_token_seen) {
                if constexpr (result_type_is_ada_url) {
                  url.username += unicode::percent_encode(
                      authority_view, character_sets::USERINFO_PERCENT_ENCODE);
                } else {
                  url.append_base_username(unicode::percent_encode(
                      authority_view, character_sets::USERINFO_PERCENT_ENCODE));
                }
              } else {
                if constexpr (result_type_is_ada_url) {
                  url.username += unicode::percent_encode(
                      authority_view.substr(0, password_token_location),
                      character_sets::USERINFO_PERCENT_ENCODE);
                  url.password += unicode::percent_encode(
                      authority_view.substr(password_token_location + 1),
                      character_sets::USERINFO_PERCENT_ENCODE);
                } else {
                  url.append_base_username(unicode::percent_encode(
                      authority_view.substr(0, password_token_location),
                      character_sets::USERINFO_PERCENT_ENCODE));
                  url.append_base_password(unicode::percent_encode(
                      authority_view.substr(password_token_location + 1),
                      character_sets::USERINFO_PERCENT_ENCODE));
                }
              }
            } else {
              if constexpr (result_type_is_ada_url) {
                url.password += unicode::percent_encode(
                    authority_view, character_sets::USERINFO_PERCENT_ENCODE);
              } else {
                url.append_base_password(unicode::percent_encode(
                    authority_view, character_sets::USERINFO_PERCENT_ENCODE));
              }
            }
          }
          // Otherwise, if one of the following is true:
          // - c is the EOF code point, U+002F (/), U+003F (?), or U+0023 (#)
          // - url is special and c is U+005C (\)
          else if (end_of_authority == input_size ||
                   url_data[end_of_authority] == '/' ||
                   url_data[end_of_authority] == '?' ||
                   (url.is_special() && url_data[end_of_authority] == '\\')) {
            // If atSignSeen is true and authority_view is the empty string,
            // validation error, return failure.
            if (at_sign_seen && authority_view.empty()) {
              url.is_valid = false;
              return url;
            }
            state = ada::state::HOST;
            break;
          }
          if (end_of_authority == input_size) {
            if (fragment.has_value()) {
              url.update_unencoded_base_hash(*fragment);
            }
            return url;
          }
          input_position = end_of_authority + 1;
        } while (true);

        break;
      }
      case ada::state::SPECIAL_RELATIVE_OR_AUTHORITY: {
        ada_log("SPECIAL_RELATIVE_OR_AUTHORITY ",
                helpers::substring(url_data, input_position));

        // If c is U+002F (/) and remaining starts with U+002F (/),
        // then set state to special authority ignore slashes state and increase
        // pointer by 1.
        std::string_view view = helpers::substring(url_data, input_position);
        if (ada::checkers::begins_with(view, "//")) {
          state = ada::state::SPECIAL_AUTHORITY_IGNORE_SLASHES;
          input_position += 2;
        } else {
          // Otherwise, validation error, set state to relative state and
          // decrease pointer by 1.
          state = ada::state::RELATIVE_SCHEME;
        }

        break;
      }
      case ada::state::PATH_OR_AUTHORITY: {
        ada_log("PATH_OR_AUTHORITY ",
                helpers::substring(url_data, input_position));

        // If c is U+002F (/), then set state to authority state.
        if ((input_position != input_size) &&
            (url_data[input_position] == '/')) {
          state = ada::state::AUTHORITY;
          input_position++;
        } else {
          // Otherwise, set state to path state, and decrease pointer by 1.
          state = ada::state::PATH;
        }

        break;
      }
      case ada::state::RELATIVE_SCHEME: {
        ada_log("RELATIVE_SCHEME ",
                helpers::substring(url_data, input_position));

        // Set url's scheme to base's scheme.
        url.copy_scheme(*base_url);

        // If c is U+002F (/), then set state to relative slash state.
        if ((input_position != input_size) &&
            (url_data[input_position] == '/')) {
          ada_log(
              "RELATIVE_SCHEME if c is U+002F (/), then set state to relative "
              "slash state");
          state = ada::state::RELATIVE_SLASH;
        } else if (url.is_special() && (input_position != input_size) &&
                   (url_data[input_position] == '\\')) {
          // Otherwise, if url is special and c is U+005C (\), validation error,
          // set state to relative slash state.
          ada_log(
              "RELATIVE_SCHEME  if url is special and c is U+005C, validation "
              "error, set state to relative slash state");
          state = ada::state::RELATIVE_SLASH;
        } else {
          ada_log("RELATIVE_SCHEME otherwise");
          // Set url's username to base's username, url's password to base's
          // password, url's host to base's host, url's port to base's port,
          // url's path to a clone of base's path, and url's query to base's
          // query.
          if constexpr (result_type_is_ada_url) {
            url.username = base_url->username;
            url.password = base_url->password;
            url.host = base_url->host;
            url.port = base_url->port;
            // cloning the base path includes cloning the has_opaque_path flag
            url.has_opaque_path = base_url->has_opaque_path;
            url.path = base_url->path;
            url.query = base_url->query;
          } else {
            url.update_base_authority(base_url->get_href(),
                                      base_url->get_components());
            // TODO: Get rid of set_hostname and replace it with
            // update_base_hostname
            url.set_hostname(base_url->get_hostname());
            url.update_base_port(base_url->retrieve_base_port());
            // cloning the base path includes cloning the has_opaque_path flag
            url.has_opaque_path = base_url->has_opaque_path;
            url.update_base_pathname(base_url->get_pathname());
            url.update_base_search(base_url->get_search());
          }

          url.has_opaque_path = base_url->has_opaque_path;

          // If c is U+003F (?), then set url's query to the empty string, and
          // state to query state.
          if ((input_position != input_size) &&
              (url_data[input_position] == '?')) {
            state = ada::state::QUERY;
          }
          // Otherwise, if c is not the EOF code point:
          else if (input_position != input_size) {
            // Set url's query to null.
            url.clear_search();
            if constexpr (result_type_is_ada_url) {
              // Shorten url's path.
              helpers::shorten_path(url.path, url.type);
            } else {
              std::string_view path = url.get_pathname();
              if (helpers::shorten_path(path, url.type)) {
                url.update_base_pathname(std::string(path));
              }
            }
            // Set state to path state and decrease pointer by 1.
            state = ada::state::PATH;
            break;
          }
        }
        input_position++;
        break;
      }
      case ada::state::RELATIVE_SLASH: {
        ada_log("RELATIVE_SLASH ",
                helpers::substring(url_data, input_position));

        // If url is special and c is U+002F (/) or U+005C (\), then:
        if (url.is_special() && (input_position != input_size) &&
            (url_data[input_position] == '/' ||
             url_data[input_position] == '\\')) {
          // Set state to special authority ignore slashes state.
          state = ada::state::SPECIAL_AUTHORITY_IGNORE_SLASHES;
        }
        // Otherwise, if c is U+002F (/), then set state to authority state.
        else if ((input_position != input_size) &&
                 (url_data[input_position] == '/')) {
          state = ada::state::AUTHORITY;
        }
        // Otherwise, set
        // - url's username to base's username,
        // - url's password to base's password,
        // - url's host to base's host,
        // - url's port to base's port,
        // - state to path state, and then, decrease pointer by 1.
        else {
          if constexpr (result_type_is_ada_url) {
            url.username = base_url->username;
            url.password = base_url->password;
            url.host = base_url->host;
            url.port = base_url->port;
          } else {
            url.update_base_authority(base_url->get_href(),
                                      base_url->get_components());
            // TODO: Get rid of set_hostname and replace it with
            // update_base_hostname
            url.set_hostname(base_url->get_hostname());
            url.update_base_port(base_url->retrieve_base_port());
          }
          state = ada::state::PATH;
          break;
        }

        input_position++;
        break;
      }
      case ada::state::SPECIAL_AUTHORITY_SLASHES: {
        ada_log("SPECIAL_AUTHORITY_SLASHES ",
                helpers::substring(url_data, input_position));

        // If c is U+002F (/) and remaining starts with U+002F (/),
        // then set state to special authority ignore slashes state and increase
        // pointer by 1.
        state = ada::state::SPECIAL_AUTHORITY_IGNORE_SLASHES;
        std::string_view view = helpers::substring(url_data, input_position);
        if (ada::checkers::begins_with(view, "//")) {
          input_position += 2;
        }

        [[fallthrough]];
      }
      case ada::state::SPECIAL_AUTHORITY_IGNORE_SLASHES: {
        ada_log("SPECIAL_AUTHORITY_IGNORE_SLASHES ",
                helpers::substring(url_data, input_position));

        // If c is neither U+002F (/) nor U+005C (\), then set state to
        // authority state and decrease pointer by 1.
        while ((input_position != input_size) &&
               ((url_data[input_position] == '/') ||
                (url_data[input_position] == '\\'))) {
          input_position++;
        }
        state = ada::state::AUTHORITY;

        break;
      }
      case ada::state::QUERY: {
        ada_log("QUERY ", helpers::substring(url_data, input_position));
        // Let queryPercentEncodeSet be the special-query percent-encode set if
        // url is special; otherwise the query percent-encode set.
        const uint8_t* query_percent_encode_set =
            url.is_special() ? ada::character_sets::SPECIAL_QUERY_PERCENT_ENCODE
                             : ada::character_sets::QUERY_PERCENT_ENCODE;

        // Percent-encode after encoding, with encoding, buffer, and
        // queryPercentEncodeSet, and append the result to url's query.
        url.update_base_search(helpers::substring(url_data, input_position),
                               query_percent_encode_set);
        ada_log("QUERY update_base_search completed ");
        if (fragment.has_value()) {
          url.update_unencoded_base_hash(*fragment);
        }
        return url;
      }
      case ada::state::HOST: {
        ada_log("HOST ", helpers::substring(url_data, input_position));

        std::string_view host_view =
            helpers::substring(url_data, input_position);
        auto [location, found_colon] =
            helpers::get_host_delimiter_location(url.is_special(), host_view);
        input_position = (location != std::string_view::npos)
                             ? input_position + location
                             : input_size;
        // Otherwise, if c is U+003A (:) and insideBrackets is false, then:
        // Note: the 'found_colon' value is true if and only if a colon was
        // encountered while not inside brackets.
        if (found_colon) {
          // If buffer is the empty string, validation error, return failure.
          // Let host be the result of host parsing buffer with url is not
          // special.
          ada_log("HOST parsing ", host_view);
          if (!url.parse_host(host_view)) {
            return url;
          }
          ada_log("HOST parsing results in ", url.get_hostname());
          // Set url's host to host, buffer to the empty string, and state to
          // port state.
          state = ada::state::PORT;
          input_position++;
        }
        // Otherwise, if one of the following is true:
        // - c is the EOF code point, U+002F (/), U+003F (?), or U+0023 (#)
        // - url is special and c is U+005C (\)
        // The get_host_delimiter_location function either brings us to
        // the colon outside of the bracket, or to one of those characters.
        else {
          // If url is special and host_view is the empty string, validation
          // error, return failure.
          if (url.is_special() && host_view.empty()) {
            url.is_valid = false;
            return url;
          }
          ada_log("HOST parsing ", host_view, " href=", url.get_href());
          // Let host be the result of host parsing host_view with url is not
          // special.
          if (host_view.empty()) {
            url.update_base_hostname("");
          } else if (!url.parse_host(host_view)) {
            return url;
          }
          ada_log("HOST parsing results in ", url.get_hostname(),
                  " href=", url.get_href());

          // Set url's host to host, and state to path start state.
          state = ada::state::PATH_START;
        }

        break;
      }
      case ada::state::OPAQUE_PATH: {
        ada_log("OPAQUE_PATH ", helpers::substring(url_data, input_position));
        std::string_view view = helpers::substring(url_data, input_position);
        // If c is U+003F (?), then set url's query to the empty string and
        // state to query state.
        size_t location = view.find('?');
        if (location != std::string_view::npos) {
          view.remove_suffix(view.size() - location);
          state = ada::state::QUERY;
          input_position += location + 1;
        } else {
          input_position = input_size + 1;
        }
        url.has_opaque_path = true;
        // This is a really unlikely scenario in real world. We should not seek
        // to optimize it.
        url.update_base_pathname(unicode::percent_encode(
            view, character_sets::C0_CONTROL_PERCENT_ENCODE));
        break;
      }
      case ada::state::PORT: {
        ada_log("PORT ", helpers::substring(url_data, input_position));
        std::string_view port_view =
            helpers::substring(url_data, input_position);
        size_t consumed_bytes = url.parse_port(port_view, true);
        input_position += consumed_bytes;
        if (!url.is_valid) {
          return url;
        }
        state = state::PATH_START;
        [[fallthrough]];
      }
      case ada::state::PATH_START: {
        ada_log("PATH_START ", helpers::substring(url_data, input_position));

        // If url is special, then:
        if (url.is_special()) {
          // Set state to path state.
          state = ada::state::PATH;

          // Optimization: Avoiding going into PATH state improves the
          // performance of urls ending with /.
          if (input_position == input_size) {
            url.update_base_pathname("/");
            if (fragment.has_value()) {
              url.update_unencoded_base_hash(*fragment);
            }
            return url;
          }
          // If c is neither U+002F (/) nor U+005C (\), then decrease pointer
          // by 1. We know that (input_position == input_size) is impossible
          // here, because of the previous if-check.
          if ((url_data[input_position] != '/') &&
              (url_data[input_position] != '\\')) {
            break;
          }
        }
        // Otherwise, if state override is not given and c is U+003F (?),
        // set url's query to the empty string and state to query state.
        else if ((input_position != input_size) &&
                 (url_data[input_position] == '?')) {
          state = ada::state::QUERY;
        }
        // Otherwise, if c is not the EOF code point:
        else if (input_position != input_size) {
          // Set state to path state.
          state = ada::state::PATH;

          // If c is not U+002F (/), then decrease pointer by 1.
          if (url_data[input_position] != '/') {
            break;
          }
        }

        input_position++;
        break;
      }
      case ada::state::PATH: {
        std::string_view view = helpers::substring(url_data, input_position);
        ada_log("PATH ", helpers::substring(url_data, input_position));

        // Most time, we do not need percent encoding.
        // Furthermore, we can immediately locate the '?'.
        size_t locofquestionmark = view.find('?');
        if (locofquestionmark != std::string_view::npos) {
          state = ada::state::QUERY;
          view.remove_suffix(view.size() - locofquestionmark);
          input_position += locofquestionmark + 1;
        } else {
          input_position = input_size + 1;
        }
        if constexpr (result_type_is_ada_url) {
          helpers::parse_prepared_path(view, url.type, url.path);
        } else {
          url.consume_prepared_path(view);
          ADA_ASSERT_TRUE(url.validate());
        }
        break;
      }
      case ada::state::FILE_SLASH: {
        ada_log("FILE_SLASH ", helpers::substring(url_data, input_position));

        // If c is U+002F (/) or U+005C (\), then:
        if ((input_position != input_size) &&
            (url_data[input_position] == '/' ||
             url_data[input_position] == '\\')) {
          ada_log("FILE_SLASH c is U+002F or U+005C");
          // Set state to file host state.
          state = ada::state::FILE_HOST;
          input_position++;
        } else {
          ada_log("FILE_SLASH otherwise");
          // If base is non-null and base's scheme is "file", then:
          // Note: it is unsafe to do base_url->scheme unless you know that
          // base_url_has_value() is true.
          if (base_url != nullptr &&
              base_url->type == ada::scheme::type::FILE) {
            // Set url's host to base's host.
            if constexpr (result_type_is_ada_url) {
              url.host = base_url->host;
            } else {
              // TODO: Optimization opportunity.
              url.set_host(base_url->get_host());
            }
            // If the code point substring from pointer to the end of input does
            // not start with a Windows drive letter and base's path[0] is a
            // normalized Windows drive letter, then append base's path[0] to
            // url's path.
            if (!base_url->get_pathname().empty()) {
              if (!checkers::is_windows_drive_letter(
                      helpers::substring(url_data, input_position))) {
                std::string_view first_base_url_path =
                    base_url->get_pathname().substr(1);
                size_t loc = first_base_url_path.find('/');
                if (loc != std::string_view::npos) {
                  helpers::resize(first_base_url_path, loc);
                }
                if (checkers::is_normalized_windows_drive_letter(
                        first_base_url_path)) {
                  if constexpr (result_type_is_ada_url) {
                    url.path += '/';
                    url.path += first_base_url_path;
                  } else {
                    url.append_base_pathname(
                        helpers::concat("/", first_base_url_path));
                  }
                }
              }
            }
          }

          // Set state to path state, and decrease pointer by 1.
          state = ada::state::PATH;
        }

        break;
      }
      case ada::state::FILE_HOST: {
        std::string_view view = helpers::substring(url_data, input_position);
        ada_log("FILE_HOST ", helpers::substring(url_data, input_position));

        size_t location = view.find_first_of("/\\?");
        std::string_view file_host_buffer(
            view.data(),
            (location != std::string_view::npos) ? location : view.size());

        if (checkers::is_windows_drive_letter(file_host_buffer)) {
          state = ada::state::PATH;
        } else if (file_host_buffer.empty()) {
          // Set url's host to the empty string.
          if constexpr (result_type_is_ada_url) {
            url.host = "";
          } else {
            url.update_base_hostname("");
          }
          // Set state to path start state.
          state = ada::state::PATH_START;
        } else {
          size_t consumed_bytes = file_host_buffer.size();
          input_position += consumed_bytes;
          // Let host be the result of host parsing buffer with url is not
          // special.
          if (!url.parse_host(file_host_buffer)) {
            return url;
          }

          if constexpr (result_type_is_ada_url) {
            // If host is "localhost", then set host to the empty string.
            if (url.host.has_value() && url.host.value() == "localhost") {
              url.host = "";
            }
          } else {
            if (url.get_hostname() == "localhost") {
              url.update_base_hostname("");
            }
          }

          // Set buffer to the empty string and state to path start state.
          state = ada::state::PATH_START;
        }

        break;
      }
      case ada::state::FILE: {
        ada_log("FILE ", helpers::substring(url_data, input_position));
        std::string_view file_view =
            helpers::substring(url_data, input_position);

        url.set_protocol_as_file();
        if constexpr (result_type_is_ada_url) {
          // Set url's host to the empty string.
          url.host = "";
        } else {
          url.update_base_hostname("");
        }
        // If c is U+002F (/) or U+005C (\), then:
        if (input_position != input_size &&
            (url_data[input_position] == '/' ||
             url_data[input_position] == '\\')) {
          ada_log("FILE c is U+002F or U+005C");
          // Set state to file slash state.
          state = ada::state::FILE_SLASH;
        }
        // Otherwise, if base is non-null and base's scheme is "file":
        else if (base_url != nullptr &&
                 base_url->type == ada::scheme::type::FILE) {
          // Set url's host to base's host, url's path to a clone of base's
          // path, and url's query to base's query.
          ada_log("FILE base non-null");
          if constexpr (result_type_is_ada_url) {
            url.host = base_url->host;
            url.path = base_url->path;
            url.query = base_url->query;
          } else {
            // TODO: Get rid of set_hostname and replace it with
            // update_base_hostname
            url.set_hostname(base_url->get_hostname());
            url.update_base_pathname(base_url->get_pathname());
            url.update_base_search(base_url->get_search());
          }
          url.has_opaque_path = base_url->has_opaque_path;

          // If c is U+003F (?), then set url's query to the empty string and
          // state to query state.
          if (input_position != input_size && url_data[input_position] == '?') {
            state = ada::state::QUERY;
          }
          // Otherwise, if c is not the EOF code point:
          else if (input_position != input_size) {
            // Set url's query to null.
            url.clear_search();
            // If the code point substring from pointer to the end of input does
            // not start with a Windows drive letter, then shorten url's path.
            if (!checkers::is_windows_drive_letter(file_view)) {
              if constexpr (result_type_is_ada_url) {
                helpers::shorten_path(url.path, url.type);
              } else {
                std::string_view path = url.get_pathname();
                if (helpers::shorten_path(path, url.type)) {
                  url.update_base_pathname(std::string(path));
                }
              }
            }
            // Otherwise:
            else {
              // Set url's path to an empty list.
              url.clear_pathname();
              url.has_opaque_path = true;
            }

            // Set state to path state and decrease pointer by 1.
            state = ada::state::PATH;
            break;
          }
        }
        // Otherwise, set state to path state, and decrease pointer by 1.
        else {
          ada_log("FILE go to path");
          state = ada::state::PATH;
          break;
        }

        input_position++;
        break;
      }
      default:
        ada::unreachable();
    }
  }
  if (fragment.has_value()) {
    url.update_unencoded_base_hash(*fragment);
  }
  return url;
}

template url parse_url<url>(std::string_view user_input,
                            const url* base_url = nullptr);
template url_aggregator parse_url<url_aggregator>(
    std::string_view user_input, const url_aggregator* base_url = nullptr);

}  // namespace ada::parser
/* end file src/parser.cpp */
/* begin file src/url_components.cpp */

#include <numeric>
#include <string>

namespace ada {

bool url_components::check_offset_consistency() const noexcept {
  /**
   * https://user:pass@example.com:1234/foo/bar?baz#quux
   *       |     |    |          | ^^^^|       |   |
   *       |     |    |          | |   |       |   `----- hash_start
   *       |     |    |          | |   |       `--------- search_start
   *       |     |    |          | |   `----------------- pathname_start
   *       |     |    |          | `--------------------- port
   *       |     |    |          `----------------------- host_end
   *       |     |    `---------------------------------- host_start
   *       |     `--------------------------------------- username_end
   *       `--------------------------------------------- protocol_end
   */
  // These conditions can be made more strict.
  uint32_t index = 0;

  if (protocol_end == url_components::omitted) {
    return false;
  }
  if (protocol_end < index) {
    return false;
  }
  index = protocol_end;

  if (username_end == url_components::omitted) {
    return false;
  }
  if (username_end < index) {
    return false;
  }
  index = username_end;

  if (host_start == url_components::omitted) {
    return false;
  }
  if (host_start < index) {
    return false;
  }
  index = host_start;

  if (port != url_components::omitted) {
    if (port > 0xffff) {
      return false;
    }
    uint32_t port_length = helpers::fast_digit_count(port) + 1;
    if (index + port_length < index) {
      return false;
    }
    index += port_length;
  }

  if (pathname_start == url_components::omitted) {
    return false;
  }
  if (pathname_start < index) {
    return false;
  }
  index = pathname_start;

  if (search_start != url_components::omitted) {
    if (search_start < index) {
      return false;
    }
    index = search_start;
  }

  if (hash_start != url_components::omitted) {
    if (hash_start < index) {
      return false;
    }
    index = hash_start;
  }

  return true;
}

std::string url_components::to_string() const {
  std::string answer;
  auto back = std::back_insert_iterator(answer);
  answer.append("{\n");

  answer.append("\t\"protocol_end\":\"");
  helpers::encode_json(std::to_string(protocol_end), back);
  answer.append("\",\n");

  answer.append("\t\"username_end\":\"");
  helpers::encode_json(std::to_string(username_end), back);
  answer.append("\",\n");

  answer.append("\t\"host_start\":\"");
  helpers::encode_json(std::to_string(host_start), back);
  answer.append("\",\n");

  answer.append("\t\"host_end\":\"");
  helpers::encode_json(std::to_string(host_end), back);
  answer.append("\",\n");

  answer.append("\t\"port\":\"");
  helpers::encode_json(std::to_string(port), back);
  answer.append("\",\n");

  answer.append("\t\"pathname_start\":\"");
  helpers::encode_json(std::to_string(pathname_start), back);
  answer.append("\",\n");

  answer.append("\t\"search_start\":\"");
  helpers::encode_json(std::to_string(search_start), back);
  answer.append("\",\n");

  answer.append("\t\"hash_start\":\"");
  helpers::encode_json(std::to_string(hash_start), back);
  answer.append("\",\n");

  answer.append("\n}");
  return answer;
}

}  // namespace ada
/* end file src/url_components.cpp */
/* begin file src/url_aggregator.cpp */

#include <string>
#include <string_view>

namespace ada {
template <bool has_state_override>
[[nodiscard]] ada_really_inline bool url_aggregator::parse_scheme_with_colon(
    const std::string_view input_with_colon) {
  ada_log("url_aggregator::parse_scheme_with_colon ", input_with_colon);
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!helpers::overlaps(input_with_colon, buffer));
  std::string_view input{input_with_colon};
  input.remove_suffix(1);
  auto parsed_type = ada::scheme::get_scheme_type(input);
  bool is_input_special = (parsed_type != ada::scheme::NOT_SPECIAL);
  /**
   * In the common case, we will immediately recognize a special scheme (e.g.,
   *http, https), in which case, we can go really fast.
   **/
  if (is_input_special) {  // fast path!!!
    if (has_state_override) {
      // If url's scheme is not a special scheme and buffer is a special scheme,
      // then return.
      if (is_special() != is_input_special) {
        return true;
      }

      // If url includes credentials or has a non-null port, and buffer is
      // "file", then return.
      if ((has_credentials() || components.port != url_components::omitted) &&
          parsed_type == ada::scheme::type::FILE) {
        return true;
      }

      // If url's scheme is "file" and its host is an empty host, then return.
      // An empty host is the empty string.
      if (type == ada::scheme::type::FILE &&
          components.host_start == components.host_end) {
        return true;
      }
    }

    type = parsed_type;
    set_scheme_from_view_with_colon(input_with_colon);

    if (has_state_override) {
      // This is uncommon.
      uint16_t urls_scheme_port = get_special_port();

      // If url's port is url's scheme's default port, then set url's port to
      // null.
      if (components.port == urls_scheme_port) {
        clear_port();
      }
    }
  } else {  // slow path
    std::string _buffer = std::string(input);
    // Next function is only valid if the input is ASCII and returns false
    // otherwise, but it seems that we always have ascii content so we do not
    // need to check the return value.
    unicode::to_lower_ascii(_buffer.data(), _buffer.size());

    if (has_state_override) {
      // If url's scheme is a special scheme and buffer is not a special scheme,
      // then return. If url's scheme is not a special scheme and buffer is a
      // special scheme, then return.
      if (is_special() != ada::scheme::is_special(_buffer)) {
        return true;
      }

      // If url includes credentials or has a non-null port, and buffer is
      // "file", then return.
      if ((has_credentials() || components.port != url_components::omitted) &&
          _buffer == "file") {
        return true;
      }

      // If url's scheme is "file" and its host is an empty host, then return.
      // An empty host is the empty string.
      if (type == ada::scheme::type::FILE &&
          components.host_start == components.host_end) {
        return true;
      }
    }

    set_scheme(_buffer);

    if (has_state_override) {
      // This is uncommon.
      uint16_t urls_scheme_port = get_special_port();

      // If url's port is url's scheme's default port, then set url's port to
      // null.
      if (components.port == urls_scheme_port) {
        clear_port();
      }
    }
  }
  ADA_ASSERT_TRUE(validate());
  return true;
}

inline void url_aggregator::copy_scheme(const url_aggregator& u) noexcept {
  ada_log("url_aggregator::copy_scheme ", u.buffer);
  ADA_ASSERT_TRUE(validate());
  // next line could overflow but unsigned arithmetic has well-defined
  // overflows.
  uint32_t new_difference = u.components.protocol_end - components.protocol_end;
  type = u.type;
  buffer.erase(0, components.protocol_end);
  buffer.insert(0, u.get_protocol());
  components.protocol_end = u.components.protocol_end;

  // No need to update the components
  if (new_difference == 0) {
    return;
  }

  // Update the rest of the components.
  components.username_end += new_difference;
  components.host_start += new_difference;
  components.host_end += new_difference;
  components.pathname_start += new_difference;
  if (components.search_start != url_components::omitted) {
    components.search_start += new_difference;
  }
  if (components.hash_start != url_components::omitted) {
    components.hash_start += new_difference;
  }
  ADA_ASSERT_TRUE(validate());
}

inline void url_aggregator::set_scheme_from_view_with_colon(
    std::string_view new_scheme_with_colon) noexcept {
  ada_log("url_aggregator::set_scheme_from_view_with_colon ",
          new_scheme_with_colon);
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!new_scheme_with_colon.empty() &&
                  new_scheme_with_colon.back() == ':');
  // next line could overflow but unsigned arithmetic has well-defined
  // overflows.
  uint32_t new_difference =
      uint32_t(new_scheme_with_colon.size()) - components.protocol_end;

  if (buffer.empty()) {
    buffer.append(new_scheme_with_colon);
  } else {
    buffer.erase(0, components.protocol_end);
    buffer.insert(0, new_scheme_with_colon);
  }
  components.protocol_end += new_difference;

  // Update the rest of the components.
  components.username_end += new_difference;
  components.host_start += new_difference;
  components.host_end += new_difference;
  components.pathname_start += new_difference;
  if (components.search_start != url_components::omitted) {
    components.search_start += new_difference;
  }
  if (components.hash_start != url_components::omitted) {
    components.hash_start += new_difference;
  }
  ADA_ASSERT_TRUE(validate());
}

inline void url_aggregator::set_scheme(std::string_view new_scheme) noexcept {
  ada_log("url_aggregator::set_scheme ", new_scheme);
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(new_scheme.empty() || new_scheme.back() != ':');
  // next line could overflow but unsigned arithmetic has well-defined
  // overflows.
  uint32_t new_difference =
      uint32_t(new_scheme.size()) - components.protocol_end + 1;

  type = ada::scheme::get_scheme_type(new_scheme);
  if (buffer.empty()) {
    buffer.append(helpers::concat(new_scheme, ":"));
  } else {
    buffer.erase(0, components.protocol_end);
    buffer.insert(0, helpers::concat(new_scheme, ":"));
  }
  components.protocol_end = uint32_t(new_scheme.size() + 1);

  // Update the rest of the components.
  components.username_end += new_difference;
  components.host_start += new_difference;
  components.host_end += new_difference;
  components.pathname_start += new_difference;
  if (components.search_start != url_components::omitted) {
    components.search_start += new_difference;
  }
  if (components.hash_start != url_components::omitted) {
    components.hash_start += new_difference;
  }
  ADA_ASSERT_TRUE(validate());
}

bool url_aggregator::set_protocol(const std::string_view input) {
  ada_log("url_aggregator::set_protocol ", input);
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!helpers::overlaps(input, buffer));
  std::string view(input);
  helpers::remove_ascii_tab_or_newline(view);
  if (view.empty()) {
    return true;
  }

  // Schemes should start with alpha values.
  if (!checkers::is_alpha(view[0])) {
    return false;
  }

  view.append(":");

  std::string::iterator pointer =
      std::find_if_not(view.begin(), view.end(), unicode::is_alnum_plus);

  if (pointer != view.end() && *pointer == ':') {
    return parse_scheme_with_colon<true>(
        std::string_view(view.data(), pointer - view.begin() + 1));
  }
  return false;
}

bool url_aggregator::set_username(const std::string_view input) {
  ada_log("url_aggregator::set_username '", input, "' ");
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!helpers::overlaps(input, buffer));
  if (cannot_have_credentials_or_port()) {
    return false;
  }
  size_t idx = ada::unicode::percent_encode_index(
      input, character_sets::USERINFO_PERCENT_ENCODE);
  if (idx == input.size()) {
    update_base_username(input);
  } else {
    // We only create a temporary string if we have to!
    update_base_username(ada::unicode::percent_encode(
        input, character_sets::USERINFO_PERCENT_ENCODE, idx));
  }
  ADA_ASSERT_TRUE(validate());
  return true;
}

bool url_aggregator::set_password(const std::string_view input) {
  ada_log("url_aggregator::set_password '", input, "'");
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!helpers::overlaps(input, buffer));
  if (cannot_have_credentials_or_port()) {
    return false;
  }
  size_t idx = ada::unicode::percent_encode_index(
      input, character_sets::USERINFO_PERCENT_ENCODE);
  if (idx == input.size()) {
    update_base_password(input);
  } else {
    // We only create a temporary string if we have to!
    update_base_password(ada::unicode::percent_encode(
        input, character_sets::USERINFO_PERCENT_ENCODE, idx));
  }
  ADA_ASSERT_TRUE(validate());
  return true;
}

bool url_aggregator::set_port(const std::string_view input) {
  ada_log("url_aggregator::set_port ", input);
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!helpers::overlaps(input, buffer));
  if (cannot_have_credentials_or_port()) {
    return false;
  }
  std::string trimmed(input);
  helpers::remove_ascii_tab_or_newline(trimmed);
  if (trimmed.empty()) {
    clear_port();
    return true;
  }
  // Input should not start with control characters.
  if (ada::unicode::is_c0_control_or_space(trimmed.front())) {
    return false;
  }
  // Input should contain at least one ascii digit.
  if (input.find_first_of("0123456789") == std::string_view::npos) {
    return false;
  }

  // Revert changes if parse_port fails.
  uint32_t previous_port = components.port;
  parse_port(trimmed);
  if (is_valid) {
    return true;
  }
  update_base_port(previous_port);
  is_valid = true;
  ADA_ASSERT_TRUE(validate());
  return false;
}

bool url_aggregator::set_pathname(const std::string_view input) {
  ada_log("url_aggregator::set_pathname ", input);
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!helpers::overlaps(input, buffer));
  if (has_opaque_path) {
    return false;
  }
  clear_pathname();
  parse_path(input);
  if (checkers::begins_with(input, "//") && !has_authority() &&
      !has_dash_dot()) {
    buffer.insert(components.pathname_start, "/.");
    components.pathname_start += 2;
  }
  ADA_ASSERT_TRUE(validate());
  return true;
}

ada_really_inline void url_aggregator::parse_path(std::string_view input) {
  ada_log("url_aggregator::parse_path ", input);
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!helpers::overlaps(input, buffer));
  std::string tmp_buffer;
  std::string_view internal_input;
  if (unicode::has_tabs_or_newline(input)) {
    tmp_buffer = input;
    // Optimization opportunity: Instead of copying and then pruning, we could
    // just directly build the string from user_input.
    helpers::remove_ascii_tab_or_newline(tmp_buffer);
    internal_input = tmp_buffer;
  } else {
    internal_input = input;
  }

  // If url is special, then:
  if (is_special()) {
    if (internal_input.empty()) {
      update_base_pathname("/");
    } else if ((internal_input[0] == '/') || (internal_input[0] == '\\')) {
      consume_prepared_path(internal_input.substr(1));
    } else {
      consume_prepared_path(internal_input);
    }
  } else if (!internal_input.empty()) {
    if (internal_input[0] == '/') {
      consume_prepared_path(internal_input.substr(1));
    } else {
      consume_prepared_path(internal_input);
    }
  } else {
    // Non-special URLs with an empty host can have their paths erased
    // Path-only URLs cannot have their paths erased
    if (components.host_start == components.host_end && !has_authority()) {
      update_base_pathname("/");
    }
  }
  ADA_ASSERT_TRUE(validate());
}

void url_aggregator::set_search(const std::string_view input) {
  ada_log("url_aggregator::set_search ", input);
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!helpers::overlaps(input, buffer));
  if (input.empty()) {
    clear_search();
    helpers::strip_trailing_spaces_from_opaque_path(*this);
    return;
  }

  std::string new_value;
  new_value = input[0] == '?' ? input.substr(1) : input;
  helpers::remove_ascii_tab_or_newline(new_value);

  auto query_percent_encode_set =
      is_special() ? ada::character_sets::SPECIAL_QUERY_PERCENT_ENCODE
                   : ada::character_sets::QUERY_PERCENT_ENCODE;

  update_base_search(new_value, query_percent_encode_set);
  ADA_ASSERT_TRUE(validate());
}

void url_aggregator::set_hash(const std::string_view input) {
  ada_log("url_aggregator::set_hash ", input);
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!helpers::overlaps(input, buffer));
  if (input.empty()) {
    if (components.hash_start != url_components::omitted) {
      buffer.resize(components.hash_start);
      components.hash_start = url_components::omitted;
    }
    helpers::strip_trailing_spaces_from_opaque_path(*this);
    return;
  }

  std::string new_value;
  new_value = input[0] == '#' ? input.substr(1) : input;
  helpers::remove_ascii_tab_or_newline(new_value);
  update_unencoded_base_hash(new_value);
  ADA_ASSERT_TRUE(validate());
}

bool url_aggregator::set_href(const std::string_view input) {
  ADA_ASSERT_TRUE(!helpers::overlaps(input, buffer));
  ada_log("url_aggregator::set_href ", input, "[", input.size(), " bytes]");
  ada::result<url_aggregator> out = ada::parse<url_aggregator>(input);
  ada_log("url_aggregator::set_href, success :", out.has_value());

  if (out) {
    ada_log("url_aggregator::set_href, parsed ", out->to_string());
    // TODO: Figure out why the following line puts test to never finish.
    *this = *out;
  }

  return out.has_value();
}

ada_really_inline bool url_aggregator::parse_host(std::string_view input) {
  ada_log("url_aggregator:parse_host ", input, "[", input.size(), " bytes]");
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!helpers::overlaps(input, buffer));
  if (input.empty()) {
    return is_valid = false;
  }  // technically unnecessary.
  // If input starts with U+005B ([), then:
  if (input[0] == '[') {
    // If input does not end with U+005D (]), validation error, return failure.
    if (input.back() != ']') {
      return is_valid = false;
    }
    ada_log("parse_host ipv6");

    // Return the result of IPv6 parsing input with its leading U+005B ([) and
    // trailing U+005D (]) removed.
    input.remove_prefix(1);
    input.remove_suffix(1);
    return parse_ipv6(input);
  }

  // If isNotSpecial is true, then return the result of opaque-host parsing
  // input.
  if (!is_special()) {
    return parse_opaque_host(input);
  }
  // Let domain be the result of running UTF-8 decode without BOM on the
  // percent-decoding of input. Let asciiDomain be the result of running domain
  // to ASCII with domain and false. The most common case is an ASCII input, in
  // which case we do not need to call the expensive 'to_ascii' if a few
  // conditions are met: no '%' and no 'xn-' subsequence.

  // Often, the input does not contain any forbidden code points, and no upper
  // case ASCII letter, then we can just copy it to the buffer. We want to
  // optimize for such a common case.
  uint8_t is_forbidden_or_upper =
      unicode::contains_forbidden_domain_code_point_or_upper(input.data(),
                                                             input.size());
  // Minor optimization opportunity:
  // contains_forbidden_domain_code_point_or_upper could be extend to check for
  // the presence of characters that cannot appear in the ipv4 address and we
  // could also check whether x and n and - are present, and so we could skip
  // some of the checks below. However, the gains are likely to be small, and
  // the code would be more complex.
  if (is_forbidden_or_upper == 0 &&
      input.find("xn-") == std::string_view::npos) {
    // fast path
    update_base_hostname(input);
    if (checkers::is_ipv4(get_hostname())) {
      ada_log("parse_host fast path ipv4");
      return parse_ipv4(get_hostname());
    }
    ada_log("parse_host fast path ", get_hostname());
    return true;
  }
  // We have encountered at least one forbidden code point or the input contains
  // 'xn-' (case insensitive), so we need to call 'to_ascii' to perform the full
  // conversion.

  ada_log("parse_host calling to_ascii");
  std::optional<std::string> host = std::string(get_hostname());
  is_valid = ada::unicode::to_ascii(host, input, input.find('%'));
  if (!is_valid) {
    ada_log("parse_host to_ascii returns false");
    return is_valid = false;
  }

  if (std::any_of(host.value().begin(), host.value().end(),
                  ada::unicode::is_forbidden_domain_code_point)) {
    return is_valid = false;
  }

  // If asciiDomain ends in a number, then return the result of IPv4 parsing
  // asciiDomain.
  if (checkers::is_ipv4(host.value())) {
    ada_log("parse_host got ipv4", *host);
    return parse_ipv4(host.value());
  }

  update_base_hostname(host.value());
  ADA_ASSERT_TRUE(validate());
  return true;
}

template <bool override_hostname>
bool url_aggregator::set_host_or_hostname(const std::string_view input) {
  ada_log("url_aggregator::set_host_or_hostname ", input);
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!helpers::overlaps(input, buffer));
  if (has_opaque_path) {
    return false;
  }

  std::string previous_host = std::string(get_hostname());
  uint32_t previous_port = components.port;

  size_t host_end_pos = input.find('#');
  std::string _host(input.data(), host_end_pos != std::string_view::npos
                                      ? host_end_pos
                                      : input.size());
  helpers::remove_ascii_tab_or_newline(_host);
  std::string_view new_host(_host);

  // If url's scheme is "file", then set state to file host state, instead of
  // host state.
  if (type != ada::scheme::type::FILE) {
    std::string_view host_view(_host.data(), _host.length());
    auto [location, found_colon] =
        helpers::get_host_delimiter_location(is_special(), host_view);

    // Otherwise, if c is U+003A (:) and insideBrackets is false, then:
    // Note: the 'found_colon' value is true if and only if a colon was
    // encountered while not inside brackets.
    if (found_colon) {
      if (override_hostname) {
        return false;
      }
      std::string_view sub_buffer = new_host.substr(location + 1);
      if (!sub_buffer.empty()) {
        set_port(sub_buffer);
      }
    }
    // If url is special and host_view is the empty string, validation error,
    // return failure. Otherwise, if state override is given, host_view is the
    // empty string, and either url includes credentials or url's port is
    // non-null, return.
    else if (host_view.empty() &&
             (is_special() || has_credentials() ||
              components.port != url_components::omitted)) {
      return false;
    }

    // Let host be the result of host parsing host_view with url is not special.
    if (host_view.empty()) {
      if (has_hostname()) {
        clear_hostname();  // easy!
      } else if (has_dash_dot()) {
        add_authority_slashes_if_needed();
        delete_dash_dot();
      }
      return true;
    }

    bool succeeded = parse_host(host_view);
    if (!succeeded) {
      update_base_hostname(previous_host);
      update_base_port(previous_port);
    } else if (has_dash_dot()) {
      // Should remove dash_dot from pathname
      delete_dash_dot();
    }
    return succeeded;
  }

  size_t location = new_host.find_first_of("/\\?");
  if (location != std::string_view::npos) {
    new_host.remove_suffix(new_host.length() - location);
  }

  if (new_host.empty()) {
    // Set url's host to the empty string.
    clear_hostname();
  } else {
    // Let host be the result of host parsing buffer with url is not special.
    if (!parse_host(new_host)) {
      update_base_hostname(previous_host);
      update_base_port(previous_port);
      return false;
    }

    // If host is "localhost", then set host to the empty string.
    if (helpers::substring(buffer, components.host_start,
                           components.host_end) == "localhost") {
      clear_hostname();
    }
  }
  ADA_ASSERT_TRUE(validate());
  return true;
}

bool url_aggregator::set_host(const std::string_view input) {
  ada_log("url_aggregator::set_host '", input, "'");
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!helpers::overlaps(input, buffer));
  return set_host_or_hostname<false>(input);
}

bool url_aggregator::set_hostname(const std::string_view input) {
  ada_log("url_aggregator::set_hostname '", input, "'");
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!helpers::overlaps(input, buffer));
  return set_host_or_hostname<true>(input);
}

[[nodiscard]] std::string url_aggregator::get_origin() const noexcept {
  ada_log("url_aggregator::get_origin");
  if (is_special()) {
    // Return a new opaque origin.
    if (type == scheme::FILE) {
      return "null";
    }

    return helpers::concat(get_protocol(), "//", get_host());
  }

  if (get_protocol() == "blob:") {
    std::string_view path = get_pathname();
    if (!path.empty()) {
      auto out = ada::parse<ada::url_aggregator>(path);
      if (out && (out->type == scheme::HTTP || out->type == scheme::HTTPS)) {
        // If pathURL's scheme is not "http" and not "https", then return a
        // new opaque origin.
        return helpers::concat(out->get_protocol(), "//", out->get_host());
      }
    }
  }

  // Return a new opaque origin.
  return "null";
}

[[nodiscard]] std::string_view url_aggregator::get_username() const noexcept {
  ada_log("url_aggregator::get_username");
  if (has_non_empty_username()) {
    return helpers::substring(buffer, components.protocol_end + 2,
                              components.username_end);
  }
  return "";
}

[[nodiscard]] std::string_view url_aggregator::get_password() const noexcept {
  ada_log("url_aggregator::get_password");
  if (has_non_empty_password()) {
    return helpers::substring(buffer, components.username_end + 1,
                              components.host_start);
  }
  return "";
}

[[nodiscard]] std::string_view url_aggregator::get_port() const noexcept {
  ada_log("url_aggregator::get_port");
  if (components.port == url_components::omitted) {
    return "";
  }
  return helpers::substring(buffer, components.host_end + 1,
                            components.pathname_start);
}

[[nodiscard]] std::string_view url_aggregator::get_hash() const noexcept {
  ada_log("url_aggregator::get_hash");
  // If this's URL's fragment is either null or the empty string, then return
  // the empty string. Return U+0023 (#), followed by this's URL's fragment.
  if (components.hash_start == url_components::omitted) {
    return "";
  }
  if (buffer.size() - components.hash_start <= 1) {
    return "";
  }
  return helpers::substring(buffer, components.hash_start);
}

[[nodiscard]] std::string_view url_aggregator::get_host() const noexcept {
  ada_log("url_aggregator::get_host");
  // Technically, we should check if there is a hostname, but
  // the code below works even if there isn't.
  // if(!has_hostname()) { return ""; }
  size_t start = components.host_start;
  if (components.host_end > components.host_start &&
      buffer[components.host_start] == '@') {
    start++;
  }
  // if we have an empty host, then the space between components.host_end and
  // components.pathname_start may be occupied by /.
  if (start == components.host_end) {
    return std::string_view();
  }
  return helpers::substring(buffer, start, components.pathname_start);
}

[[nodiscard]] std::string_view url_aggregator::get_hostname() const noexcept {
  ada_log("url_aggregator::get_hostname");
  // Technically, we should check if there is a hostname, but
  // the code below works even if there isn't.
  // if(!has_hostname()) { return ""; }
  size_t start = components.host_start;
  // So host_start is not where the host begins.
  if (components.host_end > components.host_start &&
      buffer[components.host_start] == '@') {
    start++;
  }
  return helpers::substring(buffer, start, components.host_end);
}

[[nodiscard]] std::string_view url_aggregator::get_pathname() const noexcept {
  ada_log("url_aggregator::get_pathname pathname_start = ",
          components.pathname_start, " buffer.size() = ", buffer.size(),
          " components.search_start = ", components.search_start,
          " components.hash_start = ", components.hash_start);
  uint32_t ending_index = uint32_t(buffer.size());
  if (components.search_start != url_components::omitted) {
    ending_index = components.search_start;
  } else if (components.hash_start != url_components::omitted) {
    ending_index = components.hash_start;
  }
  return helpers::substring(buffer, components.pathname_start, ending_index);
}

[[nodiscard]] std::string_view url_aggregator::get_search() const noexcept {
  ada_log("url_aggregator::get_search");
  // If this's URL's query is either null or the empty string, then return the
  // empty string. Return U+003F (?), followed by this's URL's query.
  if (components.search_start == url_components::omitted) {
    return "";
  }
  uint32_t ending_index = uint32_t(buffer.size());
  if (components.hash_start != url_components::omitted) {
    ending_index = components.hash_start;
  }
  if (ending_index - components.search_start <= 1) {
    return "";
  }
  return helpers::substring(buffer, components.search_start, ending_index);
}

[[nodiscard]] std::string_view url_aggregator::get_protocol() const noexcept {
  ada_log("url_aggregator::get_protocol");
  return helpers::substring(buffer, 0, components.protocol_end);
}

std::string ada::url_aggregator::to_string() const {
  ada_log("url_aggregator::to_string buffer:", buffer, "[", buffer.size(),
          " bytes]");
  if (!is_valid) {
    return "null";
  }

  std::string answer;
  auto back = std::back_insert_iterator(answer);
  answer.append("{\n");

  answer.append("\t\"buffer\":\"");
  helpers::encode_json(buffer, back);
  answer.append("\",\n");

  answer.append("\t\"protocol\":\"");
  helpers::encode_json(get_protocol(), back);
  answer.append("\",\n");

  if (has_credentials()) {
    answer.append("\t\"username\":\"");
    helpers::encode_json(get_username(), back);
    answer.append("\",\n");
    answer.append("\t\"password\":\"");
    helpers::encode_json(get_password(), back);
    answer.append("\",\n");
  }

  answer.append("\t\"host\":\"");
  helpers::encode_json(get_host(), back);
  answer.append("\",\n");

  answer.append("\t\"path\":\"");
  helpers::encode_json(get_pathname(), back);
  answer.append("\",\n");
  answer.append("\t\"opaque path\":");
  answer.append((has_opaque_path ? "true" : "false"));
  answer.append(",\n");

  if (components.search_start != url_components::omitted) {
    answer.append("\t\"query\":\"");
    helpers::encode_json(get_search(), back);
    answer.append("\",\n");
  }
  if (components.hash_start != url_components::omitted) {
    answer.append("\t\"fragment\":\"");
    helpers::encode_json(get_hash(), back);
    answer.append("\",\n");
  }

  auto convert_offset_to_string = [](uint32_t offset) -> std::string {
    if (offset == url_components::omitted) {
      return "null";
    } else {
      return std::to_string(offset);
    }
  };

  answer.append("\t\"protocol_end\":");
  answer.append(convert_offset_to_string(components.protocol_end));
  answer.append(",\n");

  answer.append("\t\"username_end\":");
  answer.append(convert_offset_to_string(components.username_end));
  answer.append(",\n");

  answer.append("\t\"host_start\":");
  answer.append(convert_offset_to_string(components.host_start));
  answer.append(",\n");

  answer.append("\t\"host_end\":");
  answer.append(convert_offset_to_string(components.host_end));
  answer.append(",\n");

  answer.append("\t\"port\":");
  answer.append(convert_offset_to_string(components.port));
  answer.append(",\n");

  answer.append("\t\"pathname_start\":");
  answer.append(convert_offset_to_string(components.pathname_start));
  answer.append(",\n");

  answer.append("\t\"search_start\":");
  answer.append(convert_offset_to_string(components.search_start));
  answer.append(",\n");

  answer.append("\t\"hash_start\":");
  answer.append(convert_offset_to_string(components.hash_start));
  answer.append("\n}");

  return answer;
}

[[nodiscard]] bool url_aggregator::has_valid_domain() const noexcept {
  if (components.host_start == components.host_end) {
    return false;
  }
  return checkers::verify_dns_length(get_hostname());
}

bool url_aggregator::parse_ipv4(std::string_view input) {
  ada_log("parse_ipv4 ", input, "[", input.size(),
          " bytes], overlaps with buffer: ",
          helpers::overlaps(input, buffer) ? "yes" : "no");
  ADA_ASSERT_TRUE(validate());
  const bool trailing_dot = (input.back() == '.');
  if (trailing_dot) {
    input.remove_suffix(1);
  }
  size_t digit_count{0};
  int pure_decimal_count = 0;  // entries that are decimal
  uint64_t ipv4{0};
  // we could unroll for better performance?
  for (; (digit_count < 4) && !(input.empty()); digit_count++) {
    uint32_t
        segment_result{};  // If any number exceeds 32 bits, we have an error.
    bool is_hex = checkers::has_hex_prefix(input);
    if (is_hex && ((input.length() == 2) ||
                   ((input.length() > 2) && (input[2] == '.')))) {
      // special case
      segment_result = 0;
      input.remove_prefix(2);
    } else {
      std::from_chars_result r;
      if (is_hex) {
        r = std::from_chars(input.data() + 2, input.data() + input.size(),
                            segment_result, 16);
      } else if ((input.length() >= 2) && input[0] == '0' &&
                 checkers::is_digit(input[1])) {
        r = std::from_chars(input.data() + 1, input.data() + input.size(),
                            segment_result, 8);
      } else {
        pure_decimal_count++;
        r = std::from_chars(input.data(), input.data() + input.size(),
                            segment_result, 10);
      }
      if (r.ec != std::errc()) {
        return is_valid = false;
      }
      input.remove_prefix(r.ptr - input.data());
    }
    if (input.empty()) {
      // We have the last value.
      // At this stage, ipv4 contains digit_count*8 bits.
      // So we have 32-digit_count*8 bits left.
      if (segment_result > (uint64_t(1) << (32 - digit_count * 8))) {
        return is_valid = false;
      }
      ipv4 <<= (32 - digit_count * 8);
      ipv4 |= segment_result;
      goto final;
    } else {
      // There is more, so that the value must no be larger than 255
      // and we must have a '.'.
      if ((segment_result > 255) || (input[0] != '.')) {
        return is_valid = false;
      }
      ipv4 <<= 8;
      ipv4 |= segment_result;
      input.remove_prefix(1);  // remove '.'
    }
  }
  if ((digit_count != 4) || (!input.empty())) {
    return is_valid = false;
  }
final:
  ada_log("url_aggregator::parse_ipv4 completed ", get_href(),
          " host: ", get_host());

  // We could also check r.ptr to see where the parsing ended.
  if (pure_decimal_count == 4 && !trailing_dot) {
    // The original input was already all decimal and we validated it. So we
    // don't need to do anything.
  } else {
    // Optimization opportunity: Get rid of unnecessary string return in ipv4
    // serializer.
    // TODO: This is likely a bug because it goes back update_base_hostname, not
    // what we want to do.
    update_base_hostname(
        ada::serializers::ipv4(ipv4));  // We have to reserialize the address.
  }
  ADA_ASSERT_TRUE(validate());
  return true;
}

bool url_aggregator::parse_ipv6(std::string_view input) {
  // TODO: Find a way to merge parse_ipv6 with url.cpp implementation.
  ada_log("parse_ipv6 ", input, "[", input.size(), " bytes]");
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!helpers::overlaps(input, buffer));
  if (input.empty()) {
    return is_valid = false;
  }
  // Let address be a new IPv6 address whose IPv6 pieces are all 0.
  std::array<uint16_t, 8> address{};

  // Let pieceIndex be 0.
  int piece_index = 0;

  // Let compress be null.
  std::optional<int> compress{};

  // Let pointer be a pointer for input.
  std::string_view::iterator pointer = input.begin();

  // If c is U+003A (:), then:
  if (input[0] == ':') {
    // If remaining does not start with U+003A (:), validation error, return
    // failure.
    if (input.size() == 1 || input[1] != ':') {
      ada_log("parse_ipv6 starts with : but the rest does not start with :");
      return is_valid = false;
    }

    // Increase pointer by 2.
    pointer += 2;

    // Increase pieceIndex by 1 and then set compress to pieceIndex.
    compress = ++piece_index;
  }

  // While c is not the EOF code point:
  while (pointer != input.end()) {
    // If pieceIndex is 8, validation error, return failure.
    if (piece_index == 8) {
      ada_log("parse_ipv6 piece_index == 8");
      return is_valid = false;
    }

    // If c is U+003A (:), then:
    if (*pointer == ':') {
      // If compress is non-null, validation error, return failure.
      if (compress.has_value()) {
        ada_log("parse_ipv6 compress is non-null");
        return is_valid = false;
      }

      // Increase pointer and pieceIndex by 1, set compress to pieceIndex, and
      // then continue.
      pointer++;
      compress = ++piece_index;
      continue;
    }

    // Let value and length be 0.
    uint16_t value = 0, length = 0;

    // While length is less than 4 and c is an ASCII hex digit,
    // set value to value times 0x10 + c interpreted as hexadecimal number, and
    // increase pointer and length by 1.
    while (length < 4 && pointer != input.end() &&
           unicode::is_ascii_hex_digit(*pointer)) {
      // https://stackoverflow.com/questions/39060852/why-does-the-addition-of-two-shorts-return-an-int
      value = uint16_t(value * 0x10 + unicode::convert_hex_to_binary(*pointer));
      pointer++;
      length++;
    }

    // If c is U+002E (.), then:
    if (pointer != input.end() && *pointer == '.') {
      // If length is 0, validation error, return failure.
      if (length == 0) {
        ada_log("parse_ipv6 length is 0");
        return is_valid = false;
      }

      // Decrease pointer by length.
      pointer -= length;

      // If pieceIndex is greater than 6, validation error, return failure.
      if (piece_index > 6) {
        ada_log("parse_ipv6 piece_index > 6");
        return is_valid = false;
      }

      // Let numbersSeen be 0.
      int numbers_seen = 0;

      // While c is not the EOF code point:
      while (pointer != input.end()) {
        // Let ipv4Piece be null.
        std::optional<uint16_t> ipv4_piece{};

        // If numbersSeen is greater than 0, then:
        if (numbers_seen > 0) {
          // If c is a U+002E (.) and numbersSeen is less than 4, then increase
          // pointer by 1.
          if (*pointer == '.' && numbers_seen < 4) {
            pointer++;
          } else {
            // Otherwise, validation error, return failure.
            ada_log("parse_ipv6 Otherwise, validation error, return failure");
            return is_valid = false;
          }
        }

        // If c is not an ASCII digit, validation error, return failure.
        if (pointer == input.end() || !checkers::is_digit(*pointer)) {
          ada_log(
              "parse_ipv6 If c is not an ASCII digit, validation error, return "
              "failure");
          return is_valid = false;
        }

        // While c is an ASCII digit:
        while (pointer != input.end() && checkers::is_digit(*pointer)) {
          // Let number be c interpreted as decimal number.
          int number = *pointer - '0';

          // If ipv4Piece is null, then set ipv4Piece to number.
          if (!ipv4_piece.has_value()) {
            ipv4_piece = number;
          }
          // Otherwise, if ipv4Piece is 0, validation error, return failure.
          else if (ipv4_piece == 0) {
            ada_log("parse_ipv6 if ipv4Piece is 0, validation error");
            return is_valid = false;
          }
          // Otherwise, set ipv4Piece to ipv4Piece times 10 + number.
          else {
            ipv4_piece = *ipv4_piece * 10 + number;
          }

          // If ipv4Piece is greater than 255, validation error, return failure.
          if (ipv4_piece > 255) {
            ada_log("parse_ipv6 ipv4_piece > 255");
            return is_valid = false;
          }

          // Increase pointer by 1.
          pointer++;
        }

        // Set address[pieceIndex] to address[pieceIndex] times 0x100 +
        // ipv4Piece.
        // https://stackoverflow.com/questions/39060852/why-does-the-addition-of-two-shorts-return-an-int
        address[piece_index] =
            uint16_t(address[piece_index] * 0x100 + *ipv4_piece);

        // Increase numbersSeen by 1.
        numbers_seen++;

        // If numbersSeen is 2 or 4, then increase pieceIndex by 1.
        if (numbers_seen == 2 || numbers_seen == 4) {
          piece_index++;
        }
      }

      // If numbersSeen is not 4, validation error, return failure.
      if (numbers_seen != 4) {
        return is_valid = false;
      }

      // Break.
      break;
    }
    // Otherwise, if c is U+003A (:):
    else if ((pointer != input.end()) && (*pointer == ':')) {
      // Increase pointer by 1.
      pointer++;

      // If c is the EOF code point, validation error, return failure.
      if (pointer == input.end()) {
        ada_log(
            "parse_ipv6 If c is the EOF code point, validation error, return "
            "failure");
        return is_valid = false;
      }
    }
    // Otherwise, if c is not the EOF code point, validation error, return
    // failure.
    else if (pointer != input.end()) {
      ada_log(
          "parse_ipv6 Otherwise, if c is not the EOF code point, validation "
          "error, return failure");
      return is_valid = false;
    }

    // Set address[pieceIndex] to value.
    address[piece_index] = value;

    // Increase pieceIndex by 1.
    piece_index++;
  }

  // If compress is non-null, then:
  if (compress.has_value()) {
    // Let swaps be pieceIndex - compress.
    int swaps = piece_index - *compress;

    // Set pieceIndex to 7.
    piece_index = 7;

    // While pieceIndex is not 0 and swaps is greater than 0,
    // swap address[pieceIndex] with address[compress + swaps - 1], and then
    // decrease both pieceIndex and swaps by 1.
    while (piece_index != 0 && swaps > 0) {
      std::swap(address[piece_index], address[*compress + swaps - 1]);
      piece_index--;
      swaps--;
    }
  }
  // Otherwise, if compress is null and pieceIndex is not 8, validation error,
  // return failure.
  else if (piece_index != 8) {
    ada_log(
        "parse_ipv6 if compress is null and pieceIndex is not 8, validation "
        "error, return failure");
    return is_valid = false;
  }
  // TODO: Optimization opportunity: Get rid of unnecessary string creation.
  // TODO: This is likely a bug because it goes back update_base_hostname, not
  // what we want to do.
  update_base_hostname(ada::serializers::ipv6(address));
  ada_log("parse_ipv6 ", get_hostname());
  ADA_ASSERT_TRUE(validate());
  return true;
}

bool url_aggregator::parse_opaque_host(std::string_view input) {
  ada_log("parse_opaque_host ", input, "[", input.size(), " bytes]");
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!helpers::overlaps(input, buffer));
  if (std::any_of(input.begin(), input.end(),
                  ada::unicode::is_forbidden_host_code_point)) {
    return is_valid = false;
  }

  // Return the result of running UTF-8 percent-encode on input using the C0
  // control percent-encode set.
  size_t idx = ada::unicode::percent_encode_index(
      input, character_sets::C0_CONTROL_PERCENT_ENCODE);
  if (idx == input.size()) {
    update_base_hostname(input);
  } else {
    // We only create a temporary string if we need to.
    update_base_hostname(ada::unicode::percent_encode(
        input, character_sets::C0_CONTROL_PERCENT_ENCODE, idx));
  }
  ADA_ASSERT_TRUE(validate());
  return true;
}

std::string url_aggregator::to_diagram() const {
  if (!is_valid) {
    return "invalid";
  }
  std::string answer;
  answer.append(buffer);
  answer.append(" [");
  answer.append(std::to_string(buffer.size()));
  answer.append(" bytes]");
  answer.append("\n");
  // first line
  std::string line1;
  line1.resize(buffer.size(), ' ');
  if (components.hash_start != url_components::omitted) {
    line1[components.hash_start] = '|';
  }
  if (components.search_start != url_components::omitted) {
    line1[components.search_start] = '|';
  }
  if (components.pathname_start != buffer.size()) {
    line1[components.pathname_start] = '|';
  }
  if (components.host_end != buffer.size()) {
    line1[components.host_end] = '|';
  }
  if (components.host_start != buffer.size()) {
    line1[components.host_start] = '|';
  }
  if (components.username_end != buffer.size()) {
    line1[components.username_end] = '|';
  }
  if (components.protocol_end != buffer.size()) {
    line1[components.protocol_end] = '|';
  }
  answer.append(line1);
  answer.append("\n");

  std::string line2 = line1;
  if (components.hash_start != url_components::omitted) {
    line2[components.hash_start] = '`';
    line1[components.hash_start] = ' ';

    for (size_t i = components.hash_start + 1; i < line2.size(); i++) {
      line2[i] = '-';
    }
    line2.append(" hash_start");
    answer.append(line2);
    answer.append("\n");
  }

  std::string line3 = line1;
  if (components.search_start != url_components::omitted) {
    line3[components.search_start] = '`';
    line1[components.search_start] = ' ';

    for (size_t i = components.search_start + 1; i < line3.size(); i++) {
      line3[i] = '-';
    }
    line3.append(" search_start ");
    line3.append(std::to_string(components.search_start));
    answer.append(line3);
    answer.append("\n");
  }

  std::string line4 = line1;
  if (components.pathname_start != buffer.size()) {
    line4[components.pathname_start] = '`';
    line1[components.pathname_start] = ' ';
    for (size_t i = components.pathname_start + 1; i < line4.size(); i++) {
      line4[i] = '-';
    }
    line4.append(" pathname_start ");
    line4.append(std::to_string(components.pathname_start));
    answer.append(line4);
    answer.append("\n");
  }

  std::string line5 = line1;
  if (components.host_end != buffer.size()) {
    line5[components.host_end] = '`';
    line1[components.host_end] = ' ';

    for (size_t i = components.host_end + 1; i < line5.size(); i++) {
      line5[i] = '-';
    }
    line5.append(" host_end ");
    line5.append(std::to_string(components.host_end));
    answer.append(line5);
    answer.append("\n");
  }

  std::string line6 = line1;
  if (components.host_start != buffer.size()) {
    line6[components.host_start] = '`';
    line1[components.host_start] = ' ';

    for (size_t i = components.host_start + 1; i < line6.size(); i++) {
      line6[i] = '-';
    }
    line6.append(" host_start ");
    line6.append(std::to_string(components.host_start));
    answer.append(line6);
    answer.append("\n");
  }

  std::string line7 = line1;
  if (components.username_end != buffer.size()) {
    line7[components.username_end] = '`';
    line1[components.username_end] = ' ';

    for (size_t i = components.username_end + 1; i < line7.size(); i++) {
      line7[i] = '-';
    }
    line7.append(" username_end ");
    line7.append(std::to_string(components.username_end));
    answer.append(line7);
    answer.append("\n");
  }

  std::string line8 = line1;
  if (components.protocol_end != buffer.size()) {
    line8[components.protocol_end] = '`';
    line1[components.protocol_end] = ' ';

    for (size_t i = components.protocol_end + 1; i < line8.size(); i++) {
      line8[i] = '-';
    }
    line8.append(" protocol_end ");
    line8.append(std::to_string(components.protocol_end));
    answer.append(line8);
    answer.append("\n");
  }

  if (components.hash_start == url_components::omitted) {
    answer.append("note: hash omitted\n");
  }
  if (components.search_start == url_components::omitted) {
    answer.append("note: search omitted\n");
  }
  if (components.protocol_end > buffer.size()) {
    answer.append("warning: protocol_end overflows\n");
  }
  if (components.username_end > buffer.size()) {
    answer.append("warning: username_end overflows\n");
  }
  if (components.host_start > buffer.size()) {
    answer.append("warning: host_start overflows\n");
  }
  if (components.host_end > buffer.size()) {
    answer.append("warning: host_end overflows\n");
  }
  if (components.pathname_start > buffer.size()) {
    answer.append("warning: pathname_start overflows\n");
  }
  return answer;
}

bool url_aggregator::validate() const noexcept {
  if (!is_valid) {
    return true;
  }
  if (!components.check_offset_consistency()) {
    ada_log("url_aggregator::validate inconsistent components \n",
            to_diagram());
    return false;
  }
  // We have a credible components struct, but let us investivate more
  // carefully:
  /**
   * https://user:pass@example.com:1234/foo/bar?baz#quux
   *       |     |    |          | ^^^^|       |   |
   *       |     |    |          | |   |       |   `----- hash_start
   *       |     |    |          | |   |       `--------- search_start
   *       |     |    |          | |   `----------------- pathname_start
   *       |     |    |          | `--------------------- port
   *       |     |    |          `----------------------- host_end
   *       |     |    `---------------------------------- host_start
   *       |     `--------------------------------------- username_end
   *       `--------------------------------------------- protocol_end
   */
  if (components.protocol_end == url_components::omitted) {
    ada_log("url_aggregator::validate omitted protocol_end \n", to_diagram());
    return false;
  }
  if (components.username_end == url_components::omitted) {
    ada_log("url_aggregator::validate omitted username_end \n", to_diagram());
    return false;
  }
  if (components.host_start == url_components::omitted) {
    ada_log("url_aggregator::validate omitted host_start \n", to_diagram());
    return false;
  }
  if (components.host_end == url_components::omitted) {
    ada_log("url_aggregator::validate omitted host_end \n", to_diagram());
    return false;
  }
  if (components.pathname_start == url_components::omitted) {
    ada_log("url_aggregator::validate omitted pathname_start \n", to_diagram());
    return false;
  }

  if (components.protocol_end > buffer.size()) {
    ada_log("url_aggregator::validate protocol_end overflow \n", to_diagram());
    return false;
  }
  if (components.username_end > buffer.size()) {
    ada_log("url_aggregator::validate username_end overflow \n", to_diagram());
    return false;
  }
  if (components.host_start > buffer.size()) {
    ada_log("url_aggregator::validate host_start overflow \n", to_diagram());
    return false;
  }
  if (components.host_end > buffer.size()) {
    ada_log("url_aggregator::validate host_end overflow \n", to_diagram());
    return false;
  }
  if (components.pathname_start > buffer.size()) {
    ada_log("url_aggregator::validate pathname_start overflow \n",
            to_diagram());
    return false;
  }

  if (components.protocol_end > 0) {
    if (buffer[components.protocol_end - 1] != ':') {
      ada_log(
          "url_aggregator::validate missing : at the end of the protocol \n",
          to_diagram());
      return false;
    }
  }

  if (components.username_end != buffer.size() &&
      components.username_end > components.protocol_end + 2) {
    if (buffer[components.username_end] != ':' &&
        buffer[components.username_end] != '@') {
      ada_log(
          "url_aggregator::validate missing : or @ at the end of the username "
          "\n",
          to_diagram());
      return false;
    }
  }

  if (components.host_start != buffer.size()) {
    if (components.host_start > components.username_end) {
      if (buffer[components.host_start] != '@') {
        ada_log(
            "url_aggregator::validate missing @ at the end of the password \n",
            to_diagram());
        return false;
      }
    } else if (components.host_start == components.username_end &&
               components.host_end > components.host_start) {
      if (components.host_start == components.protocol_end + 2) {
        if (buffer[components.protocol_end] != '/' ||
            buffer[components.protocol_end + 1] != '/') {
          ada_log(
              "url_aggregator::validate missing // between protocol and host "
              "\n",
              to_diagram());
          return false;
        }
      } else {
        if (components.host_start > components.protocol_end &&
            buffer[components.host_start] != '@') {
          ada_log(
              "url_aggregator::validate missing @ at the end of the username "
              "\n",
              to_diagram());
          return false;
        }
      }
    } else {
      if (components.host_end != components.host_start) {
        ada_log("url_aggregator::validate expected omitted host \n",
                to_diagram());
        return false;
      }
    }
  }
  if (components.host_end != buffer.size() &&
      components.pathname_start > components.host_end) {
    if (components.pathname_start == components.host_end + 2 &&
        buffer[components.host_end] == '/' &&
        buffer[components.host_end + 1] == '.') {
      if (components.pathname_start + 1 >= buffer.size() ||
          buffer[components.pathname_start] != '/' ||
          buffer[components.pathname_start + 1] != '/') {
        ada_log(
            "url_aggregator::validate expected the path to begin with // \n",
            to_diagram());
        return false;
      }
    } else if (buffer[components.host_end] != ':') {
      ada_log("url_aggregator::validate missing : at the port \n",
              to_diagram());
      return false;
    }
  }
  if (components.pathname_start != buffer.size() &&
      components.pathname_start < components.search_start &&
      components.pathname_start < components.hash_start && !has_opaque_path) {
    if (buffer[components.pathname_start] != '/') {
      ada_log("url_aggregator::validate missing / at the path \n",
              to_diagram());
      return false;
    }
  }
  if (components.search_start != url_components::omitted) {
    if (buffer[components.search_start] != '?') {
      ada_log("url_aggregator::validate missing ? at the search \n",
              to_diagram());
      return false;
    }
  }
  if (components.hash_start != url_components::omitted) {
    if (buffer[components.hash_start] != '#') {
      ada_log("url_aggregator::validate missing # at the hash \n",
              to_diagram());
      return false;
    }
  }

  return true;
}

void url_aggregator::delete_dash_dot() {
  ada_log("url_aggregator::delete_dash_dot");
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(has_dash_dot());
  buffer.erase(components.host_end, 2);
  components.pathname_start -= 2;
  if (components.search_start != url_components::omitted) {
    components.search_start -= 2;
  }
  if (components.hash_start != url_components::omitted) {
    components.hash_start -= 2;
  }
  ADA_ASSERT_TRUE(validate());
  ADA_ASSERT_TRUE(!has_dash_dot());
}

inline void url_aggregator::consume_prepared_path(std::string_view input) {
  ada_log("url_aggregator::consume_prepared_path ", input);
  /***
   * This is largely duplicated code from helpers::parse_prepared_path, which is
   * unfortunate. This particular function is nearly identical, except that it
   * is a method on url_aggregator. The idea is that the trivial path (which is
   * very common) merely appends to the buffer. This is the same trivial path as
   * with helpers::parse_prepared_path, except that we have the additional check
   * for is_at_path(). Otherwise, we grab a copy of the current path and we
   * modify it, and then insert it back into the buffer.
   */
  uint8_t accumulator = checkers::path_signature(input);
  // Let us first detect a trivial case.
  // If it is special, we check that we have no dot, no %,  no \ and no
  // character needing percent encoding. Otherwise, we check that we have no %,
  // no dot, and no character needing percent encoding.
  constexpr uint8_t need_encoding = 1;
  constexpr uint8_t backslash_char = 2;
  constexpr uint8_t dot_char = 4;
  constexpr uint8_t percent_char = 8;
  bool special = type != ada::scheme::NOT_SPECIAL;
  bool may_need_slow_file_handling = (type == ada::scheme::type::FILE &&
                                      checkers::is_windows_drive_letter(input));
  bool trivial_path =
      (special ? (accumulator == 0)
               : ((accumulator & (need_encoding | dot_char | percent_char)) ==
                  0)) &&
      (!may_need_slow_file_handling);
  if (accumulator == dot_char && !may_need_slow_file_handling) {
    // '4' means that we have at least one dot, but nothing that requires
    // percent encoding or decoding. The only part that is not trivial is
    // that we may have single dots and double dots path segments.
    // If we have such segments, then we either have a path that begins
    // with '.' (easy to check), or we have the sequence './'.
    // Note: input cannot be empty, it must at least contain one character ('.')
    // Note: we know that '\' is not present.
    if (input[0] != '.') {
      size_t slashdot = input.find("/.");
      if (slashdot == std::string_view::npos) {  // common case
        trivial_path = true;
      } else {  // uncommon
        // only three cases matter: /./, /.. or a final /
        trivial_path =
            !(slashdot + 2 == input.size() || input[slashdot + 2] == '.' ||
              input[slashdot + 2] == '/');
      }
    }
  }
  if (trivial_path && is_at_path()) {
    ada_log("parse_path trivial");
    buffer += '/';
    buffer += input;
    return;
  }
  std::string path = std::string(get_pathname());
  // We are going to need to look a bit at the path, but let us see if we can
  // ignore percent encoding *and* backslashes *and* percent characters.
  // Except for the trivial case, this is likely to capture 99% of paths out
  // there.
  bool fast_path =
      (special &&
       (accumulator & (need_encoding | backslash_char | percent_char)) == 0) &&
      (type != ada::scheme::type::FILE);
  if (fast_path) {
    ada_log("parse_prepared_path fast");
    // Here we don't need to worry about \ or percent encoding.
    // We also do not have a file protocol. We might have dots, however,
    // but dots must as appear as '.', and they cannot be encoded because
    // the symbol '%' is not present.
    size_t previous_location = 0;  // We start at 0.
    do {
      size_t new_location = input.find('/', previous_location);
      // std::string_view path_view = input;
      //  We process the last segment separately:
      if (new_location == std::string_view::npos) {
        std::string_view path_view = input.substr(previous_location);
        if (path_view == "..") {  // The path ends with ..
          // e.g., if you receive ".." with an empty path, you go to "/".
          if (path.empty()) {
            path = '/';
            update_base_pathname(path);
            return;
          }
          // Fast case where we have nothing to do:
          if (path.back() == '/') {
            update_base_pathname(path);
            return;
          }
          // If you have the path "/joe/myfriend",
          // then you delete 'myfriend'.
          path.resize(path.rfind('/') + 1);
          update_base_pathname(path);
          return;
        }
        path += '/';
        if (path_view != ".") {
          path.append(path_view);
        }
        update_base_pathname(path);
        return;
      } else {
        // This is a non-final segment.
        std::string_view path_view =
            input.substr(previous_location, new_location - previous_location);
        previous_location = new_location + 1;
        if (path_view == "..") {
          size_t last_delimiter = path.rfind('/');
          if (last_delimiter != std::string::npos) {
            path.erase(last_delimiter);
          }
        } else if (path_view != ".") {
          path += '/';
          path.append(path_view);
        }
      }
    } while (true);
  } else {
    ada_log("parse_path slow");
    // we have reached the general case
    bool needs_percent_encoding = (accumulator & 1);
    std::string path_buffer_tmp;
    do {
      size_t location = (special && (accumulator & 2))
                            ? input.find_first_of("/\\")
                            : input.find('/');
      std::string_view path_view = input;
      if (location != std::string_view::npos) {
        path_view.remove_suffix(path_view.size() - location);
        input.remove_prefix(location + 1);
      }
      // path_buffer is either path_view or it might point at a percent encoded
      // temporary string.
      std::string_view path_buffer =
          (needs_percent_encoding &&
           ada::unicode::percent_encode<false>(
               path_view, character_sets::PATH_PERCENT_ENCODE, path_buffer_tmp))
              ? path_buffer_tmp
              : path_view;
      if (unicode::is_double_dot_path_segment(path_buffer)) {
        if ((helpers::shorten_path(path, type) || special) &&
            location == std::string_view::npos) {
          path += '/';
        }
      } else if (unicode::is_single_dot_path_segment(path_buffer) &&
                 (location == std::string_view::npos)) {
        path += '/';
      }
      // Otherwise, if path_buffer is not a single-dot path segment, then:
      else if (!unicode::is_single_dot_path_segment(path_buffer)) {
        // If url's scheme is "file", url's path is empty, and path_buffer is a
        // Windows drive letter, then replace the second code point in
        // path_buffer with U+003A (:).
        if (type == ada::scheme::type::FILE && path.empty() &&
            checkers::is_windows_drive_letter(path_buffer)) {
          path += '/';
          path += path_buffer[0];
          path += ':';
          path_buffer.remove_prefix(2);
          path.append(path_buffer);
        } else {
          // Append path_buffer to url's path.
          path += '/';
          path.append(path_buffer);
        }
      }
      if (location == std::string_view::npos) {
        update_base_pathname(path);
        return;
      }
    } while (true);
  }
}
}  // namespace ada
/* end file src/url_aggregator.cpp */
/* begin file src/ada_c.cpp */

ada::result<ada::url_aggregator>& get_instance(void* result) noexcept {
  return *(ada::result<ada::url_aggregator>*)result;
}

extern "C" {
typedef void* ada_url;

struct ada_string {
  const char* data;
  size_t length;
};

struct ada_owned_string {
  const char* data;
  size_t length;
};

ada_string ada_string_create(const char* data, size_t length) {
  ada_string out{};
  out.data = data;
  out.length = length;
  return out;
}

struct ada_url_components {
  /*
   * By using 32-bit integers, we implicitly assume that the URL string
   * cannot exceed 4 GB.
   *
   * https://user:pass@example.com:1234/foo/bar?baz#quux
   *       |     |    |          | ^^^^|       |   |
   *       |     |    |          | |   |       |   `----- hash_start
   *       |     |    |          | |   |       `--------- search_start
   *       |     |    |          | |   `----------------- pathname_start
   *       |     |    |          | `--------------------- port
   *       |     |    |          `----------------------- host_end
   *       |     |    `---------------------------------- host_start
   *       |     `--------------------------------------- username_end
   *       `--------------------------------------------- protocol_end
   */
  uint32_t protocol_end;
  /**
   * Username end is not `omitted` by default (-1) to make username and password
   * getters less costly to implement.
   */
  uint32_t username_end;
  uint32_t host_start;
  uint32_t host_end;
  uint32_t port;
  uint32_t pathname_start;
  uint32_t search_start;
  uint32_t hash_start;
};

ada_url ada_parse(const char* input, size_t length) noexcept {
  return new ada::result<ada::url_aggregator>(
      ada::parse<ada::url_aggregator>(std::string_view(input, length)));
}

ada_url ada_parse_with_base(const char* input, size_t input_length,
                            const char* base, size_t base_length) noexcept {
  auto base_out =
      ada::parse<ada::url_aggregator>(std::string_view(base, base_length));

  if (!base_out) {
    return new ada::result<ada::url_aggregator>(base_out);
  }

  return new ada::result<ada::url_aggregator>(ada::parse<ada::url_aggregator>(
      std::string_view(input, input_length), &base_out.value()));
}

bool ada_can_parse(const char* input, size_t length) noexcept {
  return ada::can_parse(std::string_view(input, length));
}

bool ada_can_parse_with_base(const char* input, size_t input_length,
                             const char* base, size_t base_length) noexcept {
  auto base_view = std::string_view(base, base_length);
  return ada::can_parse(std::string_view(input, input_length), &base_view);
}

void ada_free(ada_url result) noexcept {
  ada::result<ada::url_aggregator>* r =
      (ada::result<ada::url_aggregator>*)result;
  delete r;
}

bool ada_is_valid(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  return r.has_value();
}

// caller must free the result with ada_free_owned_string
ada_owned_string ada_get_origin(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  ada_owned_string owned;
  if (!r) {
    owned.data = nullptr;
    owned.length = 0;
    return owned;
  }
  std::string out = r->get_origin();
  owned.length = out.size();
  owned.data = new char[owned.length];
  memcpy((void*)owned.data, out.data(), owned.length);
  return owned;
}

void ada_free_owned_string(ada_owned_string owned) noexcept {
  delete[] owned.data;
  owned.data = nullptr;
  owned.length = 0;
}

ada_string ada_get_href(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return ada_string_create(NULL, 0);
  }
  std::string_view out = r->get_href();
  return ada_string_create(out.data(), out.length());
}

ada_string ada_get_username(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return ada_string_create(NULL, 0);
  }
  std::string_view out = r->get_username();
  return ada_string_create(out.data(), out.length());
}

ada_string ada_get_password(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return ada_string_create(NULL, 0);
  }
  std::string_view out = r->get_password();
  return ada_string_create(out.data(), out.length());
}

ada_string ada_get_port(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return ada_string_create(NULL, 0);
  }
  std::string_view out = r->get_port();
  return ada_string_create(out.data(), out.length());
}

ada_string ada_get_hash(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return ada_string_create(NULL, 0);
  }
  std::string_view out = r->get_hash();
  return ada_string_create(out.data(), out.length());
}

ada_string ada_get_host(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return ada_string_create(NULL, 0);
  }
  std::string_view out = r->get_host();
  return ada_string_create(out.data(), out.length());
}

ada_string ada_get_hostname(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return ada_string_create(NULL, 0);
  }
  std::string_view out = r->get_hostname();
  return ada_string_create(out.data(), out.length());
}

ada_string ada_get_pathname(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return ada_string_create(NULL, 0);
  }
  std::string_view out = r->get_pathname();
  return ada_string_create(out.data(), out.length());
}

ada_string ada_get_search(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return ada_string_create(NULL, 0);
  }
  std::string_view out = r->get_search();
  return ada_string_create(out.data(), out.length());
}

ada_string ada_get_protocol(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return ada_string_create(NULL, 0);
  }
  std::string_view out = r->get_protocol();
  return ada_string_create(out.data(), out.length());
}

bool ada_set_href(ada_url result, const char* input, size_t length) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->set_href(std::string_view(input, length));
}

bool ada_set_host(ada_url result, const char* input, size_t length) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->set_host(std::string_view(input, length));
}

bool ada_set_hostname(ada_url result, const char* input,
                      size_t length) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->set_hostname(std::string_view(input, length));
}

bool ada_set_protocol(ada_url result, const char* input,
                      size_t length) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->set_protocol(std::string_view(input, length));
}

bool ada_set_username(ada_url result, const char* input,
                      size_t length) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->set_username(std::string_view(input, length));
}

bool ada_set_password(ada_url result, const char* input,
                      size_t length) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->set_password(std::string_view(input, length));
}

bool ada_set_port(ada_url result, const char* input, size_t length) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->set_port(std::string_view(input, length));
}

bool ada_set_pathname(ada_url result, const char* input,
                      size_t length) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->set_pathname(std::string_view(input, length));
}

void ada_set_search(ada_url result, const char* input, size_t length) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (r) {
    r->set_search(std::string_view(input, length));
  }
}

void ada_set_hash(ada_url result, const char* input, size_t length) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (r) {
    r->set_hash(std::string_view(input, length));
  }
}

bool ada_has_credentials(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->has_credentials();
}

bool ada_has_empty_hostname(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->has_empty_hostname();
}

bool ada_has_hostname(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->has_hostname();
}

bool ada_has_non_empty_username(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->has_non_empty_username();
}

bool ada_has_non_empty_password(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->has_non_empty_password();
}

bool ada_has_port(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->has_port();
}

bool ada_has_password(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->has_password();
}

bool ada_has_hash(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->has_hash();
}

bool ada_has_search(ada_url result) noexcept {
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return false;
  }
  return r->has_search();
}

// returns a pointer to the internal url_aggregator::url_components
const ada_url_components* ada_get_components(ada_url result) noexcept {
  static_assert(sizeof(ada_url_components) == sizeof(ada::url_components));
  ada::result<ada::url_aggregator>& r = get_instance(result);
  if (!r) {
    return nullptr;
  }
  return reinterpret_cast<const ada_url_components*>(&r->get_components());
}

ada_owned_string ada_idna_to_unicode(const char* input, size_t length) {
  std::string out = ada::idna::to_unicode(std::string_view(input, length));
  ada_owned_string owned{};
  owned.length = out.length();
  owned.data = new char[owned.length];
  memcpy((void*)owned.data, out.data(), owned.length);
  return owned;
}

ada_owned_string ada_idna_to_ascii(const char* input, size_t length) {
  std::string out = ada::idna::to_ascii(std::string_view(input, length));
  ada_owned_string owned{};
  owned.length = out.size();
  owned.data = new char[owned.length];
  memcpy((void*)owned.data, out.data(), owned.length);
  return owned;
}

}  // extern "C"
/* end file src/ada_c.cpp */
/* end file src/ada.cpp */