/* auto-generated on 2024-09-02 20:07:32 -0400. Do not edit! */ /* begin file src/ada.cpp */ #include "ada.h" /* begin file src/checkers.cpp */ #include namespace ada::checkers { ada_really_inline ada_constexpr bool is_ipv4(std::string_view view) noexcept { // The string is not empty and does not contain upper case ASCII characters. // // Optimization. To be considered as a possible ipv4, the string must end // with 'x' or a lowercase hex character. // Most of the time, this will be false so this simple check will save a lot // of effort. char last_char = view.back(); // If the address ends with a dot, we need to prune it (special case). if (last_char == '.') { view.remove_suffix(1); if (view.empty()) { return false; } last_char = view.back(); } bool possible_ipv4 = (last_char >= '0' && last_char <= '9') || (last_char >= 'a' && last_char <= 'f') || last_char == 'x'; if (!possible_ipv4) { return false; } // From the last character, find the last dot. size_t last_dot = view.rfind('.'); if (last_dot != std::string_view::npos) { // We have at least one dot. view = view.substr(last_dot + 1); } /** 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(view.begin(), view.end(), ada::checkers::is_digit)) { return true; } // It could be hex (0x), but not if there is a single character. if (view.size() == 1) { return false; } // It must start with 0x. if (!std::equal(view.begin(), view.begin() + 2, "0x")) { return false; } // We must allow "0x". if (view.size() == 2) { return true; } // We have 0x followed by some characters, we need to check that they are // hexadecimals. return std::all_of(view.begin() + 2, view.end(), ada::unicode::is_lowercase_hex); } // for use with path_signature, we include all characters that need percent // encoding. static constexpr std::array path_signature_table = []() constexpr { std::array result{}; for (size_t i = 0; i < 256; i++) { if (i <= 0x20 || i == 0x22 || i == 0x23 || i == 0x3c || i == 0x3e || i == 0x3f || i == 0x60 || i == 0x7b || i == 0x7d || i > 0x7e) { result[i] = 1; } else if (i == 0x25) { result[i] = 8; } else if (i == 0x2e) { result[i] = 4; } else if (i == 0x5c) { result[i] = 2; } else { result[i] = 0; } } return result; }(); 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 2023-09-19 15:58:51 -0400. Do not edit! */ /* begin file src/idna.cpp */ /* begin file src/unicode_transcoding.cpp */ #include #include #include namespace ada::idna { size_t utf8_to_utf32(const char* buf, size_t len, char32_t* utf32_output) { const uint8_t* data = reinterpret_cast(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(buf); size_t counter{0}; for (size_t i = 0; i != len; ++i) { ++counter; // ASCII counter += static_cast(p[i] > 0x7F); // two-byte counter += static_cast(p[i] > 0x7FF); // three-byte counter += static_cast(p[i] > 0xFFFF); // four-bytes } return counter; } size_t utf32_length_from_utf8(const char* buf, size_t len) { const int8_t* p = reinterpret_cast(buf); return std::count_if(p, std::next(p, len), [](int8_t c) { // -65 is 0b10111111, anything larger in two-complement's // should start a new code point. return c > -65; }); } size_t utf32_to_utf8(const char32_t* buf, size_t len, char* utf8_output) { const uint32_t* data = reinterpret_cast(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 #include #include /* begin file src/mapping_tables.cpp */ // IDNA 15.0.0 // clang-format off #ifndef ADA_IDNA_TABLES_H #define ADA_IDNA_TABLES_H #include 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 /** * 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 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 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 #include 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 #include namespace ada::idna { bool begins_with(std::u32string_view view, std::u32string_view prefix) { if (view.size() < prefix.size()) { return false; } // constexpr as of C++20 return std::equal(prefix.begin(), prefix.end(), view.begin()); } bool begins_with(std::string_view view, std::string_view prefix) { if (view.size() < prefix.size()) { return false; } // constexpr as of C++20 return std::equal(prefix.begin(), prefix.end(), view.begin()); } 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 #include 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 #if ADA_NEON #include #elif ADA_SSE2 #include #endif namespace ada::unicode { constexpr bool is_tabs_or_newline(char c) noexcept { return c == '\r' || c == '\n' || c == '\t'; } 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 { // first check for short strings in which case we do it naively. if (user_input.size() < 16) { // slow path return std::any_of(user_input.begin(), user_input.end(), is_tabs_or_newline); } // fast path for long strings (expected to be common) size_t i = 0; /** * The fastest way to check for `\t` (==9), '\n'(== 10) and `\r` (==13) relies * on table lookup instruction. We notice that these are all unique numbers * between 0..15. Let's prepare a special register, where we put '\t' in the * 9th position, '\n' - 10th and '\r' - 13th. Then we shuffle this register by * input register. If the input had `\t` in position X then this shuffled * register will also have '\t' in that position. Comparing input with this * shuffled register will mark us all interesting characters in the input. * * credit for algorithmic idea: @aqrit, credit for description: * @DenisYaroshevskiy */ static uint8_t rnt_array[16] = {1, 0, 0, 0, 0, 0, 0, 0, 0, 9, 10, 0, 0, 13, 0, 0}; const uint8x16_t rnt = vld1q_u8(rnt_array); // m['0xd', '0xa', '0x9'] 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(running, vceqq_u8(vqtbl1q_u8(rnt, word), word)); } if (i < user_input.size()) { uint8x16_t word = vld1q_u8((const uint8_t*)user_input.data() + user_input.length() - 16); running = vorrq_u8(running, vceqq_u8(vqtbl1q_u8(rnt, word), word)); } return vmaxvq_u32(vreinterpretq_u32_u8(running)) != 0; } #elif ADA_SSE2 ada_really_inline bool has_tabs_or_newline( std::string_view user_input) noexcept { // first check for short strings in which case we do it naively. if (user_input.size() < 16) { // slow path return std::any_of(user_input.begin(), user_input.end(), is_tabs_or_newline); } // fast path for long strings (expected to be common) 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'); // If we supported SSSE3, we could use the algorithm that we use for NEON. __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()) { __m128i word = _mm_loadu_si128( (const __m128i*)(user_input.data() + user_input.length() - 16)); 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 std::array is_forbidden_host_code_point_table = []() constexpr { std::array result{}; for (uint8_t c : {'\0', '\x09', '\x0a', '\x0d', ' ', '#', '/', ':', '<', '>', '?', '@', '[', '\\', ']', '^', '|'}) { result[c] = true; } return result; }(); ada_really_inline constexpr bool is_forbidden_host_code_point( const char c) noexcept { return is_forbidden_host_code_point_table[uint8_t(c)]; } constexpr static std::array is_forbidden_domain_code_point_table = []() constexpr { std::array result{}; for (uint8_t c : {'\0', '\x09', '\x0a', '\x0d', ' ', '#', '/', ':', '<', '>', '?', '@', '[', '\\', ']', '^', '|', '%'}) { result[c] = true; } for (uint8_t c = 0; c <= 32; c++) { result[c] = true; } for (size_t c = 127; c < 255; c++) { result[c] = true; } return result; }(); 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 std::array is_forbidden_domain_code_point_table_or_upper = []() constexpr { std::array result{}; for (uint8_t c : {'\0', '\x09', '\x0a', '\x0d', ' ', '#', '/', ':', '<', '>', '?', '@', '[', '\\', ']', '^', '|', '%'}) { result[c] = 1; } for (uint8_t c = 'A'; c <= 'Z'; c++) { result[c] = 2; } for (uint8_t c = 0; c <= 32; c++) { result[c] = 1; } for (size_t c = 127; c < 255; c++) { result[c] = 1; } return result; }(); 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; } // std::isalnum(c) || c == '+' || c == '-' || c == '.') is true for constexpr static std::array is_alnum_plus_table = []() constexpr { std::array result{}; for (size_t c = 0; c < 256; c++) { result[c] = (c >= '0' && c <= '9') || (c >= 'a' && c <= 'z') || (c >= 'A' && c <= 'Z') || c == '+' || c == '-' || c == '.'; } return result; }(); 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 == '.'); } 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'); } constexpr static char hex_to_binary_table[] = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 0, 0, 0, 0, 0, 0, 10, 11, 12, 13, 14, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 11, 12, 13, 14, 15}; unsigned constexpr convert_hex_to_binary(const char c) noexcept { return hex_to_binary_table[c - '0']; } 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; dest.reserve(input.length()); dest.append(input.substr(0, first_percent)); 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(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; result.reserve(input.length()); // in the worst case, percent encoding might // produce 3 characters. result.append(input.substr(0, std::distance(input.begin(), pointer))); 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 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& 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; } } // namespace ada::unicode /* end file src/unicode.cpp */ /* begin file src/serializers.cpp */ #include #include namespace ada::serializers { void find_longest_sequence_of_ipv6_pieces( const std::array& 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& 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 namespace ada { template ada_warn_unused tl::expected parse( std::string_view input, const result_type* base_url) { result_type u = ada::parser::parse_url_impl(input, base_url); if (!u.is_valid) { return tl::unexpected(errors::generic_error); } return u; } template ada::result parse(std::string_view input, const url* base_url = nullptr); template ada::result parse( 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::url_aggregator base_aggregator; ada::url_aggregator* base_pointer = nullptr; if (base_input != nullptr) { base_aggregator = ada::parser::parse_url_impl( *base_input, nullptr); if (!base_aggregator.is_valid) { return false; } base_pointer = &base_aggregator; } ada::url_aggregator result = ada::parser::parse_url_impl(input, base_pointer); return result.is_valid; } 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 #include #include #include namespace ada::helpers { template 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 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); } // computes the number of trailing zeroes // this is a private inline function only defined in this source file. ada_really_inline int trailing_zeroes(uint32_t input_num) noexcept { #ifdef ADA_REGULAR_VISUAL_STUDIO unsigned long ret; // Search the mask data from least significant bit (LSB) // to the most significant bit (MSB) for a set bit (1). _BitScanForward(&ret, input_num); return (int)ret; #else // ADA_REGULAR_VISUAL_STUDIO return __builtin_ctzl(input_num); #endif // ADA_REGULAR_VISUAL_STUDIO } // 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. #if ADA_NEON // The ada_make_uint8x16_t macro is necessary because Visual Studio does not // support direct initialization of uint8x16_t. See // https://developercommunity.visualstudio.com/t/error-C2078:-too-many-initializers-whe/402911?q=backend+neon #ifndef ada_make_uint8x16_t #define ada_make_uint8x16_t(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, \ x13, x14, x15, x16) \ ([=]() { \ static uint8_t array[16] = {x1, x2, x3, x4, x5, x6, x7, x8, \ x9, x10, x11, x12, x13, x14, x15, x16}; \ return vld1q_u8(array); \ }()) #endif ada_really_inline size_t find_next_host_delimiter_special( std::string_view view, size_t location) noexcept { // first check for short strings in which case we do it naively. if (view.size() - location < 16) { // slow path for (size_t i = location; i < view.size(); i++) { if (view[i] == ':' || view[i] == '/' || view[i] == '\\' || view[i] == '?' || view[i] == '[') { return i; } } return size_t(view.size()); } auto to_bitmask = [](uint8x16_t input) -> uint16_t { uint8x16_t bit_mask = ada_make_uint8x16_t(0x01, 0x02, 0x4, 0x8, 0x10, 0x20, 0x40, 0x80, 0x01, 0x02, 0x4, 0x8, 0x10, 0x20, 0x40, 0x80); uint8x16_t minput = vandq_u8(input, bit_mask); uint8x16_t tmp = vpaddq_u8(minput, minput); tmp = vpaddq_u8(tmp, tmp); tmp = vpaddq_u8(tmp, tmp); return vgetq_lane_u16(vreinterpretq_u16_u8(tmp), 0); }; // fast path for long strings (expected to be common) size_t i = location; uint8x16_t low_mask = ada_make_uint8x16_t(0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x04, 0x04, 0x00, 0x00, 0x03); uint8x16_t high_mask = ada_make_uint8x16_t(0x00, 0x00, 0x02, 0x01, 0x00, 0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00); uint8x16_t fmask = vmovq_n_u8(0xf); uint8x16_t zero{0}; for (; i + 15 < view.size(); i += 16) { uint8x16_t word = vld1q_u8((const uint8_t*)view.data() + i); uint8x16_t lowpart = vqtbl1q_u8(low_mask, vandq_u8(word, fmask)); uint8x16_t highpart = vqtbl1q_u8(high_mask, vshrq_n_u8(word, 4)); uint8x16_t classify = vandq_u8(lowpart, highpart); if (vmaxvq_u32(vreinterpretq_u32_u8(classify)) != 0) { uint8x16_t is_zero = vceqq_u8(classify, zero); uint16_t is_non_zero = ~to_bitmask(is_zero); return i + trailing_zeroes(is_non_zero); } } if (i < view.size()) { uint8x16_t word = vld1q_u8((const uint8_t*)view.data() + view.length() - 16); uint8x16_t lowpart = vqtbl1q_u8(low_mask, vandq_u8(word, fmask)); uint8x16_t highpart = vqtbl1q_u8(high_mask, vshrq_n_u8(word, 4)); uint8x16_t classify = vandq_u8(lowpart, highpart); if (vmaxvq_u32(vreinterpretq_u32_u8(classify)) != 0) { uint8x16_t is_zero = vceqq_u8(classify, zero); uint16_t is_non_zero = ~to_bitmask(is_zero); return view.length() - 16 + trailing_zeroes(is_non_zero); } } return size_t(view.size()); } #elif ADA_SSE2 ada_really_inline size_t find_next_host_delimiter_special( std::string_view view, size_t location) noexcept { // first check for short strings in which case we do it naively. if (view.size() - location < 16) { // slow path for (size_t i = location; i < view.size(); i++) { if (view[i] == ':' || view[i] == '/' || view[i] == '\\' || view[i] == '?' || view[i] == '[') { return i; } } return size_t(view.size()); } // fast path for long strings (expected to be common) size_t i = location; const __m128i mask1 = _mm_set1_epi8(':'); const __m128i mask2 = _mm_set1_epi8('/'); const __m128i mask3 = _mm_set1_epi8('\\'); const __m128i mask4 = _mm_set1_epi8('?'); const __m128i mask5 = _mm_set1_epi8('['); for (; i + 15 < view.size(); i += 16) { __m128i word = _mm_loadu_si128((const __m128i*)(view.data() + i)); __m128i m1 = _mm_cmpeq_epi8(word, mask1); __m128i m2 = _mm_cmpeq_epi8(word, mask2); __m128i m3 = _mm_cmpeq_epi8(word, mask3); __m128i m4 = _mm_cmpeq_epi8(word, mask4); __m128i m5 = _mm_cmpeq_epi8(word, mask5); __m128i m = _mm_or_si128( _mm_or_si128(_mm_or_si128(m1, m2), _mm_or_si128(m3, m4)), m5); int mask = _mm_movemask_epi8(m); if (mask != 0) { return i + trailing_zeroes(mask); } } if (i < view.size()) { __m128i word = _mm_loadu_si128((const __m128i*)(view.data() + view.length() - 16)); __m128i m1 = _mm_cmpeq_epi8(word, mask1); __m128i m2 = _mm_cmpeq_epi8(word, mask2); __m128i m3 = _mm_cmpeq_epi8(word, mask3); __m128i m4 = _mm_cmpeq_epi8(word, mask4); __m128i m5 = _mm_cmpeq_epi8(word, mask5); __m128i m = _mm_or_si128( _mm_or_si128(_mm_or_si128(m1, m2), _mm_or_si128(m3, m4)), m5); int mask = _mm_movemask_epi8(m); if (mask != 0) { return view.length() - 16 + trailing_zeroes(mask); } } return size_t(view.length()); } #else // : / [ \\ ? static constexpr std::array special_host_delimiters = []() constexpr { std::array result{}; for (int i : {':', '/', '[', '\\', '?'}) { result[i] = 1; } return result; }(); // credit: @the-moisrex recommended a table-based approach ada_really_inline size_t find_next_host_delimiter_special( std::string_view view, size_t location) noexcept { auto const str = view.substr(location); for (auto pos = str.begin(); pos != str.end(); ++pos) { if (special_host_delimiters[(uint8_t)*pos]) { return pos - str.begin() + location; } } return size_t(view.size()); } #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. #if ADA_NEON ada_really_inline size_t find_next_host_delimiter(std::string_view view, size_t location) noexcept { // first check for short strings in which case we do it naively. if (view.size() - location < 16) { // slow path for (size_t i = location; i < view.size(); i++) { if (view[i] == ':' || view[i] == '/' || view[i] == '?' || view[i] == '[') { return i; } } return size_t(view.size()); } auto to_bitmask = [](uint8x16_t input) -> uint16_t { uint8x16_t bit_mask = ada_make_uint8x16_t(0x01, 0x02, 0x4, 0x8, 0x10, 0x20, 0x40, 0x80, 0x01, 0x02, 0x4, 0x8, 0x10, 0x20, 0x40, 0x80); uint8x16_t minput = vandq_u8(input, bit_mask); uint8x16_t tmp = vpaddq_u8(minput, minput); tmp = vpaddq_u8(tmp, tmp); tmp = vpaddq_u8(tmp, tmp); return vgetq_lane_u16(vreinterpretq_u16_u8(tmp), 0); }; // fast path for long strings (expected to be common) size_t i = location; uint8x16_t low_mask = ada_make_uint8x16_t(0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x04, 0x00, 0x00, 0x00, 0x03); uint8x16_t high_mask = ada_make_uint8x16_t(0x00, 0x00, 0x02, 0x01, 0x00, 0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00); uint8x16_t fmask = vmovq_n_u8(0xf); uint8x16_t zero{0}; for (; i + 15 < view.size(); i += 16) { uint8x16_t word = vld1q_u8((const uint8_t*)view.data() + i); uint8x16_t lowpart = vqtbl1q_u8(low_mask, vandq_u8(word, fmask)); uint8x16_t highpart = vqtbl1q_u8(high_mask, vshrq_n_u8(word, 4)); uint8x16_t classify = vandq_u8(lowpart, highpart); if (vmaxvq_u32(vreinterpretq_u32_u8(classify)) != 0) { uint8x16_t is_zero = vceqq_u8(classify, zero); uint16_t is_non_zero = ~to_bitmask(is_zero); return i + trailing_zeroes(is_non_zero); } } if (i < view.size()) { uint8x16_t word = vld1q_u8((const uint8_t*)view.data() + view.length() - 16); uint8x16_t lowpart = vqtbl1q_u8(low_mask, vandq_u8(word, fmask)); uint8x16_t highpart = vqtbl1q_u8(high_mask, vshrq_n_u8(word, 4)); uint8x16_t classify = vandq_u8(lowpart, highpart); if (vmaxvq_u32(vreinterpretq_u32_u8(classify)) != 0) { uint8x16_t is_zero = vceqq_u8(classify, zero); uint16_t is_non_zero = ~to_bitmask(is_zero); return view.length() - 16 + trailing_zeroes(is_non_zero); } } return size_t(view.size()); } #elif ADA_SSE2 ada_really_inline size_t find_next_host_delimiter(std::string_view view, size_t location) noexcept { // first check for short strings in which case we do it naively. if (view.size() - location < 16) { // slow path for (size_t i = location; i < view.size(); i++) { if (view[i] == ':' || view[i] == '/' || view[i] == '?' || view[i] == '[') { return i; } } return size_t(view.size()); } // fast path for long strings (expected to be common) size_t i = location; const __m128i mask1 = _mm_set1_epi8(':'); const __m128i mask2 = _mm_set1_epi8('/'); const __m128i mask4 = _mm_set1_epi8('?'); const __m128i mask5 = _mm_set1_epi8('['); for (; i + 15 < view.size(); i += 16) { __m128i word = _mm_loadu_si128((const __m128i*)(view.data() + i)); __m128i m1 = _mm_cmpeq_epi8(word, mask1); __m128i m2 = _mm_cmpeq_epi8(word, mask2); __m128i m4 = _mm_cmpeq_epi8(word, mask4); __m128i m5 = _mm_cmpeq_epi8(word, mask5); __m128i m = _mm_or_si128(_mm_or_si128(m1, m2), _mm_or_si128(m4, m5)); int mask = _mm_movemask_epi8(m); if (mask != 0) { return i + trailing_zeroes(mask); } } if (i < view.size()) { __m128i word = _mm_loadu_si128((const __m128i*)(view.data() + view.length() - 16)); __m128i m1 = _mm_cmpeq_epi8(word, mask1); __m128i m2 = _mm_cmpeq_epi8(word, mask2); __m128i m4 = _mm_cmpeq_epi8(word, mask4); __m128i m5 = _mm_cmpeq_epi8(word, mask5); __m128i m = _mm_or_si128(_mm_or_si128(m1, m2), _mm_or_si128(m4, m5)); int mask = _mm_movemask_epi8(m); if (mask != 0) { return view.length() - 16 + trailing_zeroes(mask); } } return size_t(view.length()); } #else // : / [ ? static constexpr std::array host_delimiters = []() constexpr { std::array result{}; for (int i : {':', '/', '?', '['}) { result[i] = 1; } return result; }(); // credit: @the-moisrex recommended a table-based approach ada_really_inline size_t find_next_host_delimiter(std::string_view view, size_t location) noexcept { auto const str = view.substr(location); for (auto pos = str.begin(); pos != str.end(); ++pos) { if (host_delimiters[(uint8_t)*pos]) { return pos - str.begin() + location; } } return size_t(view.size()); } #endif ada_really_inline std::pair 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( 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 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); } // @ / \\ ? static constexpr std::array authority_delimiter_special = []() constexpr { std::array result{}; for (uint8_t i : {'@', '/', '\\', '?'}) { result[i] = 1; } return result; }(); // credit: @the-moisrex recommended a table-based approach ada_really_inline size_t find_authority_delimiter_special(std::string_view view) noexcept { // performance note: we might be able to gain further performance // with SIMD instrinsics. for (auto pos = view.begin(); pos != view.end(); ++pos) { if (authority_delimiter_special[(uint8_t)*pos]) { return pos - view.begin(); } } return size_t(view.size()); } // @ / ? static constexpr std::array authority_delimiter = []() constexpr { std::array result{}; for (uint8_t i : {'@', '/', '?'}) { result[i] = 1; } return result; }(); // credit: @the-moisrex recommended a table-based approach ada_really_inline size_t find_authority_delimiter(std::string_view view) noexcept { // performance note: we might be able to gain further performance // with SIMD instrinsics. for (auto pos = view.begin(); pos != view.end(); ++pos) { if (authority_delimiter[(uint8_t)*pos]) { return pos - view.begin(); } } return size_t(view.size()); } } // namespace ada::helpers namespace ada { ada_warn_unused std::string to_string(ada::state state) { return ada::helpers::get_state(state); } #undef ada_make_uint8x16_t } // namespace ada /* end file src/helpers.cpp */ /* begin file src/url.cpp */ #include #include #include 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. } host_type = IPV4; 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 address{}; // Let pieceIndex be 0. int piece_index = 0; // Let compress be null. std::optional 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 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); host_type = IPV6; return true; } template 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 false; } // 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 false; } // 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 false; } } 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(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; } ada_log("parse_host to_ascii succeeded ", *host, " [", host->size(), " bytes]"); 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 = "/"; } } } [[nodiscard]] 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 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(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]] 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 #include namespace ada { template bool url::set_host_or_hostname(const std::string_view input) { if (has_opaque_path) { return false; } std::optional previous_host = host; std::optional 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() && !is_special()) { 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(input); } bool url::set_hostname(const std::string_view input) { return set_host_or_hostname(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 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); } 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( std::string_view(view.data(), pointer - view.begin())); } return false; } bool url::set_href(const std::string_view input) { ada::result out = ada::parse(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 namespace ada::parser { template result_type parse_url_impl(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::value; constexpr bool result_type_is_ada_url_aggregator = std::is_same::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::max()) { url.is_valid = false; } // Going forward, user_input.size() is in [0, // std::numeric_limits::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 && store_values) { // 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::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 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 constexpr (store_values) { 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 (store_values) { 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 constexpr (store_values) { 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. 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)); if constexpr (store_values) { // 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) { if constexpr (store_values) { 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 (store_values) { 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 constexpr (store_values) { if (fragment.has_value()) { url.update_unencoded_base_hash(*fragment); } } return url; } template url parse_url_impl(std::string_view user_input, const url* base_url = nullptr); template url_aggregator parse_url_impl( std::string_view user_input, const url_aggregator* base_url = nullptr); template result_type parse_url(std::string_view user_input, const result_type* base_url) { return parse_url_impl(user_input, base_url); } template url parse_url(std::string_view user_input, const url* base_url = nullptr); template url_aggregator parse_url( 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 #include namespace ada { [[nodiscard]] 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; } } return true; } [[nodiscard]] 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 #include namespace ada { template [[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 false; } // 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 false; } // 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 false; } } 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(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( 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(get_pathname(), "//") && !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 out = ada::parse(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(), true); } 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 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; } ada_log("parse_host to_ascii succeeded ", *host, " [", host->size(), " bytes]"); 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(), false); } update_base_hostname(host.value()); ADA_ASSERT_TRUE(validate()); return true; } template 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(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() || has_port())) { return false; } // Let host be the result of host parsing host_view with url is not special. if (host_view.empty() && !is_special()) { 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(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(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(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_lifetime_bound { 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_lifetime_bound { 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_lifetime_bound { 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_lifetime_bound { 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_lifetime_bound { 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 {}; } return helpers::substring(buffer, start, components.pathname_start); } [[nodiscard]] std::string_view url_aggregator::get_hostname() const noexcept ada_lifetime_bound { 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_lifetime_bound { 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); auto 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_lifetime_bound { 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 ""; } auto 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_lifetime_bound { ada_log("url_aggregator::get_protocol"); return helpers::substring(buffer, 0, components.protocol_end); } [[nodiscard]] 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, bool in_place) { 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) { ada_log("parse_ipv4 trying to parse hex number"); 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])) { ada_log("parse_ipv4 trying to parse octal number"); r = std::from_chars(input.data() + 1, input.data() + input.size(), segment_result, 8); } else { ada_log("parse_ipv4 trying to parse decimal number"); pure_decimal_count++; r = std::from_chars(input.data(), input.data() + input.size(), segment_result, 10); } if (r.ec != std::errc()) { ada_log("parse_ipv4 parsing failed"); return is_valid = false; } ada_log("parse_ipv4 parsed ", segment_result); 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())) { ada_log("parse_ipv4 found invalid (more than 4 numbers or 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 (in_place && pure_decimal_count == 4 && !trailing_dot) { ada_log( "url_aggregator::parse_ipv4 completed and was already correct in the " "buffer"); // The original input was already all decimal and we validated it. So we // don't need to do anything. } else { ada_log("url_aggregator::parse_ipv4 completed and we need to update it"); // 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. } host_type = IPV4; ADA_ASSERT_TRUE(validate()); return true; } bool url_aggregator::parse_ipv6(std::string_view input) { // TODO: Implement in_place optimization: we know that input points // in the buffer, so we can just check whether the buffer is already // well formatted. // 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 address{}; // Let pieceIndex be 0. int piece_index = 0; // Let compress be null. std::optional 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 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()); host_type = IPV6; 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; } [[nodiscard]] 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; } [[nodiscard]] 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( 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& get_instance(void* result) noexcept { return *(ada::result*)result; } extern "C" { typedef void* ada_url; typedef void* ada_url_search_params; typedef void* ada_strings; typedef void* ada_url_search_params_keys_iter; typedef void* ada_url_search_params_values_iter; typedef void* ada_url_search_params_entries_iter; struct ada_string { const char* data; size_t length; }; struct ada_owned_string { const char* data; size_t length; }; struct ada_string_pair { ada_string key; ada_string value; }; 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::parse(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(std::string_view(base, base_length)); if (!base_out) { return new ada::result(base_out); } return new ada::result(ada::parse( 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 { std::string_view base_view(base, base_length); return ada::can_parse(std::string_view(input, input_length), &base_view); } void ada_free(ada_url result) noexcept { auto* r = (ada::result*)result; delete r; } ada_url ada_copy(ada_url input) noexcept { ada::result& r = get_instance(input); return new ada::result(r); } bool ada_is_valid(ada_url result) noexcept { ada::result& 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& 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; } ada_string ada_get_href(ada_url result) noexcept { ada::result& r = get_instance(result); if (!r) { return ada_string_create(nullptr, 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& r = get_instance(result); if (!r) { return ada_string_create(nullptr, 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& r = get_instance(result); if (!r) { return ada_string_create(nullptr, 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& r = get_instance(result); if (!r) { return ada_string_create(nullptr, 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& r = get_instance(result); if (!r) { return ada_string_create(nullptr, 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& r = get_instance(result); if (!r) { return ada_string_create(nullptr, 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& r = get_instance(result); if (!r) { return ada_string_create(nullptr, 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& r = get_instance(result); if (!r) { return ada_string_create(nullptr, 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& r = get_instance(result); if (!r) { return ada_string_create(nullptr, 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& r = get_instance(result); if (!r) { return ada_string_create(nullptr, 0); } std::string_view out = r->get_protocol(); return ada_string_create(out.data(), out.length()); } uint8_t ada_get_host_type(ada_url result) noexcept { ada::result& r = get_instance(result); if (!r) { return 0; } return r->host_type; } uint8_t ada_get_scheme_type(ada_url result) noexcept { ada::result& r = get_instance(result); if (!r) { return 0; } return r->type; } bool ada_set_href(ada_url result, const char* input, size_t length) noexcept { ada::result& 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& 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& 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& 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& 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& 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& 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& r = get_instance(result); if (!r) { return false; } return r->set_pathname(std::string_view(input, length)); } /** * Update the search/query of the URL. * * If a URL has `?` as the search value, passing empty string to this function * does not remove the attribute. If you need to remove it, please use * `ada_clear_search` method. */ void ada_set_search(ada_url result, const char* input, size_t length) noexcept { ada::result& r = get_instance(result); if (r) { r->set_search(std::string_view(input, length)); } } /** * Update the hash/fragment of the URL. * * If a URL has `#` as the hash value, passing empty string to this function * does not remove the attribute. If you need to remove it, please use * `ada_clear_hash` method. */ void ada_set_hash(ada_url result, const char* input, size_t length) noexcept { ada::result& r = get_instance(result); if (r) { r->set_hash(std::string_view(input, length)); } } void ada_clear_port(ada_url result) noexcept { ada::result& r = get_instance(result); if (r) { r->clear_port(); } } /** * Removes the hash of the URL. * * Despite `ada_set_hash` method, this function allows the complete * removal of the hash attribute, even if it has a value of `#`. */ void ada_clear_hash(ada_url result) noexcept { ada::result& r = get_instance(result); if (r) { r->clear_hash(); } } /** * Removes the search of the URL. * * Despite `ada_set_search` method, this function allows the complete * removal of the search attribute, even if it has a value of `?`. */ void ada_clear_search(ada_url result) noexcept { ada::result& r = get_instance(result); if (r) { r->clear_search(); } } bool ada_has_credentials(ada_url result) noexcept { ada::result& r = get_instance(result); if (!r) { return false; } return r->has_credentials(); } bool ada_has_empty_hostname(ada_url result) noexcept { ada::result& r = get_instance(result); if (!r) { return false; } return r->has_empty_hostname(); } bool ada_has_hostname(ada_url result) noexcept { ada::result& r = get_instance(result); if (!r) { return false; } return r->has_hostname(); } bool ada_has_non_empty_username(ada_url result) noexcept { ada::result& 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& r = get_instance(result); if (!r) { return false; } return r->has_non_empty_password(); } bool ada_has_port(ada_url result) noexcept { ada::result& r = get_instance(result); if (!r) { return false; } return r->has_port(); } bool ada_has_password(ada_url result) noexcept { ada::result& r = get_instance(result); if (!r) { return false; } return r->has_password(); } bool ada_has_hash(ada_url result) noexcept { ada::result& r = get_instance(result); if (!r) { return false; } return r->has_hash(); } bool ada_has_search(ada_url result) noexcept { ada::result& 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& r = get_instance(result); if (!r) { return nullptr; } return reinterpret_cast(&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; } ada_url_search_params ada_parse_search_params(const char* input, size_t length) { return new ada::result( ada::url_search_params(std::string_view(input, length))); } void ada_free_search_params(ada_url_search_params result) { auto* r = (ada::result*)result; delete r; } ada_owned_string ada_search_params_to_string(ada_url_search_params result) { ada::result& r = *(ada::result*)result; if (!r) return ada_owned_string{nullptr, 0}; std::string out = r->to_string(); ada_owned_string owned{}; owned.length = out.size(); owned.data = new char[owned.length]; memcpy((void*)owned.data, out.data(), owned.length); return owned; } size_t ada_search_params_size(ada_url_search_params result) { ada::result& r = *(ada::result*)result; if (!r) { return 0; } return r->size(); } void ada_search_params_sort(ada_url_search_params result) { ada::result& r = *(ada::result*)result; if (r) { r->sort(); } } void ada_search_params_reset(ada_url_search_params result, const char* input, size_t length) { ada::result& r = *(ada::result*)result; if (r) { r->reset(std::string_view(input, length)); } } void ada_search_params_append(ada_url_search_params result, const char* key, size_t key_length, const char* value, size_t value_length) { ada::result& r = *(ada::result*)result; if (r) { r->append(std::string_view(key, key_length), std::string_view(value, value_length)); } } void ada_search_params_set(ada_url_search_params result, const char* key, size_t key_length, const char* value, size_t value_length) { ada::result& r = *(ada::result*)result; if (r) { r->set(std::string_view(key, key_length), std::string_view(value, value_length)); } } void ada_search_params_remove(ada_url_search_params result, const char* key, size_t key_length) { ada::result& r = *(ada::result*)result; if (r) { r->remove(std::string_view(key, key_length)); } } void ada_search_params_remove_value(ada_url_search_params result, const char* key, size_t key_length, const char* value, size_t value_length) { ada::result& r = *(ada::result*)result; if (r) { r->remove(std::string_view(key, key_length), std::string_view(value, value_length)); } } bool ada_search_params_has(ada_url_search_params result, const char* key, size_t key_length) { ada::result& r = *(ada::result*)result; if (!r) { return false; } return r->has(std::string_view(key, key_length)); } bool ada_search_params_has_value(ada_url_search_params result, const char* key, size_t key_length, const char* value, size_t value_length) { ada::result& r = *(ada::result*)result; if (!r) { return false; } return r->has(std::string_view(key, key_length), std::string_view(value, value_length)); } ada_string ada_search_params_get(ada_url_search_params result, const char* key, size_t key_length) { ada::result& r = *(ada::result*)result; if (!r) { return ada_string_create(nullptr, 0); } auto found = r->get(std::string_view(key, key_length)); if (!found.has_value()) { return ada_string_create(nullptr, 0); } return ada_string_create(found->data(), found->length()); } ada_strings ada_search_params_get_all(ada_url_search_params result, const char* key, size_t key_length) { ada::result& r = *(ada::result*)result; if (!r) { return new ada::result>( std::vector()); } return new ada::result>( r->get_all(std::string_view(key, key_length))); } ada_url_search_params_keys_iter ada_search_params_get_keys( ada_url_search_params result) { ada::result& r = *(ada::result*)result; if (!r) { return new ada::result( ada::url_search_params_keys_iter()); } return new ada::result(r->get_keys()); } ada_url_search_params_values_iter ada_search_params_get_values( ada_url_search_params result) { ada::result& r = *(ada::result*)result; if (!r) { return new ada::result( ada::url_search_params_values_iter()); } return new ada::result(r->get_values()); } ada_url_search_params_entries_iter ada_search_params_get_entries( ada_url_search_params result) { ada::result& r = *(ada::result*)result; if (!r) { return new ada::result( ada::url_search_params_entries_iter()); } return new ada::result(r->get_entries()); } void ada_free_strings(ada_strings result) { auto* r = (ada::result>*)result; delete r; } size_t ada_strings_size(ada_strings result) { auto* r = (ada::result>*)result; if (!r) { return 0; } return (*r)->size(); } ada_string ada_strings_get(ada_strings result, size_t index) { auto* r = (ada::result>*)result; if (!r) { return ada_string_create(nullptr, 0); } std::string_view view = (*r)->at(index); return ada_string_create(view.data(), view.length()); } void ada_free_search_params_keys_iter(ada_url_search_params_keys_iter result) { auto* r = (ada::result*)result; delete r; } ada_string ada_search_params_keys_iter_next( ada_url_search_params_keys_iter result) { auto* r = (ada::result*)result; if (!r) { return ada_string_create(nullptr, 0); } auto next = (*r)->next(); if (!next.has_value()) { return ada_string_create(nullptr, 0); } return ada_string_create(next->data(), next->length()); } bool ada_search_params_keys_iter_has_next( ada_url_search_params_keys_iter result) { auto* r = (ada::result*)result; if (!r) { return false; } return (*r)->has_next(); } void ada_free_search_params_values_iter( ada_url_search_params_values_iter result) { auto* r = (ada::result*)result; delete r; } ada_string ada_search_params_values_iter_next( ada_url_search_params_values_iter result) { auto* r = (ada::result*)result; if (!r) { return ada_string_create(nullptr, 0); } auto next = (*r)->next(); if (!next.has_value()) { return ada_string_create(nullptr, 0); } return ada_string_create(next->data(), next->length()); } bool ada_search_params_values_iter_has_next( ada_url_search_params_values_iter result) { auto* r = (ada::result*)result; if (!r) { return false; } return (*r)->has_next(); } void ada_free_search_params_entries_iter( ada_url_search_params_entries_iter result) { auto* r = (ada::result*)result; delete r; } ada_string_pair ada_search_params_entries_iter_next( ada_url_search_params_entries_iter result) { auto* r = (ada::result*)result; if (!r) return {ada_string_create(nullptr, 0), ada_string_create(nullptr, 0)}; auto next = (*r)->next(); if (!next.has_value()) { return {ada_string_create(nullptr, 0), ada_string_create(nullptr, 0)}; } return ada_string_pair{ ada_string_create(next->first.data(), next->first.length()), ada_string_create(next->second.data(), next->second.length())}; } bool ada_search_params_entries_iter_has_next( ada_url_search_params_entries_iter result) { auto* r = (ada::result*)result; if (!r) { return false; } return (*r)->has_next(); } } // extern "C" /* end file src/ada_c.cpp */ /* end file src/ada.cpp */