/*  This module contains the initialize function, which writes the pre-baked trigonometry arrays into RAM. This uses 
around 90 KB of RAM. */

impl crate::DTrig {
    /// Initializes the Dtrig struct.
    ///
    /// - Must be used before any other Dtrig functions are used.
    /// - Writes the pre-baked trigonometry tables into RAM.
    ///
    /// # Example
    ///
    /// ```
    /// use deterministic_trigonometry::DTrig;
    ///
    /// fn main (){
    ///
    /// let d_trig = DTrig::initialize();
    ///
    /// let sine_of_pi_over_three = d_trig.sine((1047,1000));
    ///
    /// println!("The sine of 1047/1000 radians is {}/{}.", sine_of_pi_over_three.0, sine_of_pi_over_three.1);
    ///
    /// }
    /// ```

    pub fn initialize() -> Self {
        return crate::DTrig {
            sine_array: {
                [
                    0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
                    22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
                    42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
                    62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
                    82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101,
                    102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117,
                    118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133,
                    134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 144, 145, 146, 147, 148,
                    149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164,
                    165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180,
                    181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196,
                    197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 207, 208, 209, 210, 211,
                    212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227,
                    228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243,
                    244, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258,
                    259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 273,
                    274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289,
                    290, 291, 292, 293, 294, 295, 296, 296, 297, 298, 299, 300, 301, 302, 303, 304,
                    305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 316, 317, 318, 319,
                    320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 333, 334,
                    335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 349,
                    350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 363, 364,
                    365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 376, 377, 378, 379,
                    380, 381, 382, 383, 384, 385, 386, 387, 388, 388, 389, 390, 391, 392, 393, 394,
                    395, 396, 397, 398, 399, 400, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409,
                    410, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 421, 422, 423,
                    424, 425, 426, 427, 428, 429, 430, 430, 431, 432, 433, 434, 435, 436, 437, 438,
                    439, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 448, 449, 450, 451, 452,
                    453, 454, 455, 456, 456, 457, 458, 459, 460, 461, 462, 463, 464, 464, 465, 466,
                    467, 468, 469, 470, 471, 472, 472, 473, 474, 475, 476, 477, 478, 479, 479, 480,
                    481, 482, 483, 484, 485, 486, 486, 487, 488, 489, 490, 491, 492, 493, 493, 494,
                    495, 496, 497, 498, 499, 499, 500, 501, 502, 503, 504, 505, 506, 506, 507, 508,
                    509, 510, 511, 512, 512, 513, 514, 515, 516, 517, 518, 518, 519, 520, 521, 522,
                    523, 524, 524, 525, 526, 527, 528, 529, 529, 530, 531, 532, 533, 534, 535, 535,
                    536, 537, 538, 539, 540, 540, 541, 542, 543, 544, 545, 546, 546, 547, 548, 549,
                    550, 551, 551, 552, 553, 554, 555, 556, 556, 557, 558, 559, 560, 561, 561, 562,
                    563, 564, 565, 565, 566, 567, 568, 569, 570, 570, 571, 572, 573, 574, 575, 575,
                    576, 577, 578, 579, 579, 580, 581, 582, 583, 583, 584, 585, 586, 587, 588, 588,
                    589, 590, 591, 592, 592, 593, 594, 595, 596, 596, 597, 598, 599, 600, 600, 601,
                    602, 603, 604, 604, 605, 606, 607, 608, 608, 609, 610, 611, 612, 612, 613, 614,
                    615, 615, 616, 617, 618, 619, 619, 620, 621, 622, 623, 623, 624, 625, 626, 626,
                    627, 628, 629, 630, 630, 631, 632, 633, 633, 634, 635, 636, 637, 637, 638, 639,
                    640, 640, 641, 642, 643, 643, 644, 645, 646, 647, 647, 648, 649, 650, 650, 651,
                    652, 653, 653, 654, 655, 656, 656, 657, 658, 659, 659, 660, 661, 662, 662, 663,
                    664, 665, 665, 666, 667, 668, 668, 669, 670, 671, 671, 672, 673, 674, 674, 675,
                    676, 677, 677, 678, 679, 679, 680, 681, 682, 682, 683, 684, 685, 685, 686, 687,
                    687, 688, 689, 690, 690, 691, 692, 693, 693, 694, 695, 695, 696, 697, 698, 698,
                    699, 700, 700, 701, 702, 703, 703, 704, 705, 705, 706, 707, 708, 708, 709, 710,
                    710, 711, 712, 712, 713, 714, 715, 715, 716, 717, 717, 718, 719, 719, 720, 721,
                    722, 722, 723, 724, 724, 725, 726, 726, 727, 728, 728, 729, 730, 730, 731, 732,
                    733, 733, 734, 735, 735, 736, 737, 737, 738, 739, 739, 740, 741, 741, 742, 743,
                    743, 744, 745, 745, 746, 747, 747, 748, 749, 749, 750, 751, 751, 752, 753, 753,
                    754, 755, 755, 756, 757, 757, 758, 758, 759, 760, 760, 761, 762, 762, 763, 764,
                    764, 765, 766, 766, 767, 768, 768, 769, 769, 770, 771, 771, 772, 773, 773, 774,
                    775, 775, 776, 776, 777, 778, 778, 779, 780, 780, 781, 781, 782, 783, 783, 784,
                    785, 785, 786, 786, 787, 788, 788, 789, 790, 790, 791, 791, 792, 793, 793, 794,
                    794, 795, 796, 796, 797, 797, 798, 799, 799, 800, 800, 801, 802, 802, 803, 803,
                    804, 805, 805, 806, 806, 807, 808, 808, 809, 809, 810, 810, 811, 812, 812, 813,
                    813, 814, 815, 815, 816, 816, 817, 817, 818, 819, 819, 820, 820, 821, 821, 822,
                    823, 823, 824, 824, 825, 825, 826, 827, 827, 828, 828, 829, 829, 830, 830, 831,
                    832, 832, 833, 833, 834, 834, 835, 835, 836, 837, 837, 838, 838, 839, 839, 840,
                    840, 841, 841, 842, 843, 843, 844, 844, 845, 845, 846, 846, 847, 847, 848, 848,
                    849, 849, 850, 851, 851, 852, 852, 853, 853, 854, 854, 855, 855, 856, 856, 857,
                    857, 858, 858, 859, 859, 860, 860, 861, 861, 862, 862, 863, 863, 864, 864, 865,
                    865, 866, 866, 867, 867, 868, 868, 869, 869, 870, 870, 871, 871, 872, 872, 873,
                    873, 874, 874, 875, 875, 876, 876, 877, 877, 878, 878, 879, 879, 880, 880, 881,
                    881, 881, 882, 882, 883, 883, 884, 884, 885, 885, 886, 886, 887, 887, 888, 888,
                    888, 889, 889, 890, 890, 891, 891, 892, 892, 893, 893, 893, 894, 894, 895, 895,
                    896, 896, 897, 897, 897, 898, 898, 899, 899, 900, 900, 901, 901, 901, 902, 902,
                    903, 903, 904, 904, 904, 905, 905, 906, 906, 907, 907, 907, 908, 908, 909, 909,
                    909, 910, 910, 911, 911, 912, 912, 912, 913, 913, 914, 914, 914, 915, 915, 916,
                    916, 916, 917, 917, 918, 918, 918, 919, 919, 920, 920, 920, 921, 921, 922, 922,
                    922, 923, 923, 923, 924, 924, 925, 925, 925, 926, 926, 926, 927, 927, 928, 928,
                    928, 929, 929, 929, 930, 930, 931, 931, 931, 932, 932, 932, 933, 933, 933, 934,
                    934, 935, 935, 935, 936, 936, 936, 937, 937, 937, 938, 938, 938, 939, 939, 939,
                    940, 940, 940, 941, 941, 941, 942, 942, 942, 943, 943, 943, 944, 944, 944, 945,
                    945, 945, 946, 946, 946, 947, 947, 947, 948, 948, 948, 949, 949, 949, 950, 950,
                    950, 951, 951, 951, 951, 952, 952, 952, 953, 953, 953, 954, 954, 954, 955, 955,
                    955, 955, 956, 956, 956, 957, 957, 957, 957, 958, 958, 958, 959, 959, 959, 959,
                    960, 960, 960, 961, 961, 961, 961, 962, 962, 962, 962, 963, 963, 963, 964, 964,
                    964, 964, 965, 965, 965, 965, 966, 966, 966, 966, 967, 967, 967, 967, 968, 968,
                    968, 968, 969, 969, 969, 969, 970, 970, 970, 970, 971, 971, 971, 971, 972, 972,
                    972, 972, 973, 973, 973, 973, 973, 974, 974, 974, 974, 975, 975, 975, 975, 976,
                    976, 976, 976, 976, 977, 977, 977, 977, 977, 978, 978, 978, 978, 978, 979, 979,
                    979, 979, 980, 980, 980, 980, 980, 981, 981, 981, 981, 981, 981, 982, 982, 982,
                    982, 982, 983, 983, 983, 983, 983, 984, 984, 984, 984, 984, 984, 985, 985, 985,
                    985, 985, 985, 986, 986, 986, 986, 986, 986, 987, 987, 987, 987, 987, 987, 988,
                    988, 988, 988, 988, 988, 989, 989, 989, 989, 989, 989, 989, 990, 990, 990, 990,
                    990, 990, 990, 991, 991, 991, 991, 991, 991, 991, 991, 992, 992, 992, 992, 992,
                    992, 992, 992, 993, 993, 993, 993, 993, 993, 993, 993, 994, 994, 994, 994, 994,
                    994, 994, 994, 994, 995, 995, 995, 995, 995, 995, 995, 995, 995, 995, 996, 996,
                    996, 996, 996, 996, 996, 996, 996, 996, 996, 996, 997, 997, 997, 997, 997, 997,
                    997, 997, 997, 997, 997, 997, 997, 998, 998, 998, 998, 998, 998, 998, 998, 998,
                    998, 998, 998, 998, 998, 998, 998, 999, 999, 999, 999, 999, 999, 999, 999, 999,
                    999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 1000, 1000,
                    1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000,
                    1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000,
                    1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000,
                    1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000,
                    1000, 1000, 1000, 1000, 1000, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999,
                    999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 998, 998, 998, 998,
                    998, 998, 998, 998, 998, 998, 998, 998, 998, 998, 998, 998, 997, 997, 997, 997,
                    997, 997, 997, 997, 997, 997, 997, 997, 997, 996, 996, 996, 996, 996, 996, 996,
                    996, 996, 996, 996, 995, 995, 995, 995, 995, 995, 995, 995, 995, 995, 994, 994,
                    994, 994, 994, 994, 994, 994, 994, 993, 993, 993, 993, 993, 993, 993, 993, 993,
                    992, 992, 992, 992, 992, 992, 992, 992, 991, 991, 991, 991, 991, 991, 991, 990,
                    990, 990, 990, 990, 990, 990, 989, 989, 989, 989, 989, 989, 989, 988, 988, 988,
                    988, 988, 988, 988, 987, 987, 987, 987, 987, 987, 986, 986, 986, 986, 986, 986,
                    985, 985, 985, 985, 985, 985, 984, 984, 984, 984, 984, 983, 983, 983, 983, 983,
                    983, 982, 982, 982, 982, 982, 981, 981, 981, 981, 981, 980, 980, 980, 980, 980,
                    979, 979, 979, 979, 979, 978, 978, 978, 978, 978, 977, 977, 977, 977, 977, 976,
                    976, 976, 976, 975, 975, 975, 975, 975, 974, 974, 974, 974, 973, 973, 973, 973,
                    972, 972, 972, 972, 972, 971, 971, 971, 971, 970, 970, 970, 970, 969, 969, 969,
                    969, 968, 968, 968, 968, 967, 967, 967, 967, 966, 966, 966, 966, 965, 965, 965,
                    965, 964, 964, 964, 963, 963, 963, 963, 962, 962, 962, 962, 961, 961, 961, 960,
                    960, 960, 960, 959, 959, 959, 958, 958, 958, 958, 957, 957, 957, 956, 956, 956,
                    956, 955, 955, 955, 954, 954, 954, 953, 953, 953, 953, 952, 952, 952, 951, 951,
                    951, 950, 950, 950, 949, 949, 949, 949, 948, 948, 948, 947, 947, 947, 946, 946,
                    946, 945, 945, 945, 944, 944, 944, 943, 943, 943, 942, 942, 942, 941, 941, 941,
                    940, 940, 940, 939, 939, 939, 938, 938, 938, 937, 937, 937, 936, 936, 935, 935,
                    935, 934, 934, 934, 933, 933, 933, 932, 932, 932, 931, 931, 930, 930, 930, 929,
                    929, 929, 928, 928, 927, 927, 927, 926, 926, 926, 925, 925, 924, 924, 924, 923,
                    923, 923, 922, 922, 921, 921, 921, 920, 920, 919, 919, 919, 918, 918, 917, 917,
                    917, 916, 916, 915, 915, 915, 914, 914, 913, 913, 913, 912, 912, 911, 911, 911,
                    910, 910, 909, 909, 908, 908, 908, 907, 907, 906, 906, 906, 905, 905, 904, 904,
                    903, 903, 903, 902, 902, 901, 901, 900, 900, 899, 899, 899, 898, 898, 897, 897,
                    896, 896, 896, 895, 895, 894, 894, 893, 893, 892, 892, 891, 891, 891, 890, 890,
                    889, 889, 888, 888, 887, 887, 886, 886, 886, 885, 885, 884, 884, 883, 883, 882,
                    882, 881, 881, 880, 880, 879, 879, 878, 878, 877, 877, 877, 876, 876, 875, 875,
                    874, 874, 873, 873, 872, 872, 871, 871, 870, 870, 869, 869, 868, 868, 867, 867,
                    866, 866, 865, 865, 864, 864, 863, 863, 862, 862, 861, 861, 860, 860, 859, 859,
                    858, 858, 857, 857, 856, 856, 855, 855, 854, 853, 853, 852, 852, 851, 851, 850,
                    850, 849, 849, 848, 848, 847, 847, 846, 846, 845, 844, 844, 843, 843, 842, 842,
                    841, 841, 840, 840, 839, 839, 838, 837, 837, 836, 836, 835, 835, 834, 834, 833,
                    832, 832, 831, 831, 830, 830, 829, 829, 828, 827, 827, 826, 826, 825, 825, 824,
                    824, 823, 822, 822, 821, 821, 820, 820, 819, 818, 818, 817, 817, 816, 816, 815,
                    814, 814, 813, 813, 812, 811, 811, 810, 810, 809, 808, 808, 807, 807, 806, 806,
                    805, 804, 804, 803, 803, 802, 801, 801, 800, 800, 799, 798, 798, 797, 797, 796,
                    795, 795, 794, 794, 793, 792, 792, 791, 790, 790, 789, 789, 788, 787, 787, 786,
                    786, 785, 784, 784, 783, 782, 782, 781, 781, 780, 779, 779, 778, 777, 777, 776,
                    776, 775, 774, 774, 773, 772, 772, 771, 770, 770, 769, 769, 768, 767, 767, 766,
                    765, 765, 764, 763, 763, 762, 761, 761, 760, 760, 759, 758, 758, 757, 756, 756,
                    755, 754, 754, 753, 752, 752, 751, 750, 750, 749, 748, 748, 747, 746, 746, 745,
                    744, 744, 743, 742, 742, 741, 740, 740, 739, 738, 738, 737, 736, 736, 735, 734,
                    734, 733, 732, 732, 731, 730, 730, 729, 728, 727, 727, 726, 725, 725, 724, 723,
                    723, 722, 721, 721, 720, 719, 718, 718, 717, 716, 716, 715, 714, 714, 713, 712,
                    711, 711, 710, 709, 709, 708, 707, 707, 706, 705, 704, 704, 703, 702, 702, 701,
                    700, 699, 699, 698, 697, 697, 696, 695, 694, 694, 693, 692, 692, 691, 690, 689,
                    689, 688, 687, 686, 686, 685, 684, 684, 683, 682, 681, 681, 680, 679, 678, 678,
                    677, 676, 675, 675, 674, 673, 673, 672, 671, 670, 670, 669, 668, 667, 667, 666,
                    665, 664, 664, 663, 662, 661, 661, 660, 659, 658, 658, 657, 656, 655, 655, 654,
                    653, 652, 652, 651, 650, 649, 648, 648, 647, 646, 645, 645, 644, 643, 642, 642,
                    641, 640, 639, 639, 638, 637, 636, 635, 635, 634, 633, 632, 632, 631, 630, 629,
                    628, 628, 627, 626, 625, 625, 624, 623, 622, 621, 621, 620, 619, 618, 618, 617,
                    616, 615, 614, 614, 613, 612, 611, 610, 610, 609, 608, 607, 606, 606, 605, 604,
                    603, 602, 602, 601, 600, 599, 598, 598, 597, 596, 595, 594, 594, 593, 592, 591,
                    590, 590, 589, 588, 587, 586, 586, 585, 584, 583, 582, 582, 581, 580, 579, 578,
                    577, 577, 576, 575, 574, 573, 573, 572, 571, 570, 569, 568, 568, 567, 566, 565,
                    564, 563, 563, 562, 561, 560, 559, 559, 558, 557, 556, 555, 554, 554, 553, 552,
                    551, 550, 549, 549, 548, 547, 546, 545, 544, 543, 543, 542, 541, 540, 539, 538,
                    538, 537, 536, 535, 534, 533, 533, 532, 531, 530, 529, 528, 527, 527, 526, 525,
                    524, 523, 522, 521, 521, 520, 519, 518, 517, 516, 516, 515, 514, 513, 512, 511,
                    510, 509, 509, 508, 507, 506, 505, 504, 503, 503, 502, 501, 500, 499, 498, 497,
                    497, 496, 495, 494, 493, 492, 491, 490, 490, 489, 488, 487, 486, 485, 484, 483,
                    483, 482, 481, 480, 479, 478, 477, 476, 476, 475, 474, 473, 472, 471, 470, 469,
                    469, 468, 467, 466, 465, 464, 463, 462, 461, 461, 460, 459, 458, 457, 456, 455,
                    454, 453, 453, 452, 451, 450, 449, 448, 447, 446, 445, 444, 444, 443, 442, 441,
                    440, 439, 438, 437, 436, 435, 435, 434, 433, 432, 431, 430, 429, 428, 427, 426,
                    426, 425, 424, 423, 422, 421, 420, 419, 418, 417, 417, 416, 415, 414, 413, 412,
                    411, 410, 409, 408, 407, 406, 406, 405, 404, 403, 402, 401, 400, 399, 398, 397,
                    396, 395, 395, 394, 393, 392, 391, 390, 389, 388, 387, 386, 385, 384, 384, 383,
                    382, 381, 380, 379, 378, 377, 376, 375, 374, 373, 372, 371, 371, 370, 369, 368,
                    367, 366, 365, 364, 363, 362, 361, 360, 359, 358, 358, 357, 356, 355, 354, 353,
                    352, 351, 350, 349, 348, 347, 346, 345, 344, 343, 343, 342, 341, 340, 339, 338,
                    337, 336, 335, 334, 333, 332, 331, 330, 329, 328, 327, 326, 326, 325, 324, 323,
                    322, 321, 320, 319, 318, 317, 316, 315, 314, 313, 312, 311, 310, 309, 308, 308,
                    307, 306, 305, 304, 303, 302, 301, 300, 299, 298, 297, 296, 295, 294, 293, 292,
                    291, 290, 289, 288, 287, 287, 286, 285, 284, 283, 282, 281, 280, 279, 278, 277,
                    276, 275, 274, 273, 272, 271, 270, 269, 268, 267, 266, 265, 264, 263, 262, 262,
                    261, 260, 259, 258, 257, 256, 255, 254, 253, 252, 251, 250, 249, 248, 247, 246,
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                    -558, -558, -557, -556, -555, -554, -553, -553, -552, -551, -550, -549, -548, -548,
                    -547, -546, -545, -544, -543, -542, -542, -541, -540, -539, -538, -537, -537, -536,
                    -535, -534, -533, -532, -532, -531, -530, -529, -528, -527, -526, -526, -525, -524,
                    -523, -522, -521, -520, -520, -519, -518, -517, -516, -515, -514, -514, -513, -512,
                    -511, -510, -509, -508, -508, -507, -506, -505, -504, -503, -502, -502, -501, -500,
                    -499, -498, -497, -496, -495, -495, -494, -493, -492, -491, -490, -489, -489, -488,
                    -487, -486, -485, -484, -483, -482, -482, -481, -480, -479, -478, -477, -476, -475,
                    -474, -474, -473, -472, -471, -470, -469, -468, -467, -467, -466, -465, -464, -463,
                    -462, -461, -460, -459, -459, -458, -457, -456, -455, -454, -453, -452, -451, -451,
                    -450, -449, -448, -447, -446, -445, -444, -443, -443, -442, -441, -440, -439, -438,
                    -437, -436, -435, -434, -434, -433, -432, -431, -430, -429, -428, -427, -426, -425,
                    -424, -424, -423, -422, -421, -420, -419, -418, -417, -416, -415, -414, -414, -413,
                    -412, -411, -410, -409, -408, -407, -406, -405, -404, -404, -403, -402, -401, -400,
                    -399, -398, -397, -396, -395, -394, -393, -393, -392, -391, -390, -389, -388, -387,
                    -386, -385, -384, -383, -382, -381, -381, -380, -379, -378, -377, -376, -375, -374,
                    -373, -372, -371, -370, -369, -368, -368, -367, -366, -365, -364, -363, -362, -361,
                    -360, -359, -358, -357, -356, -355, -355, -354, -353, -352, -351, -350, -349, -348,
                    -347, -346, -345, -344, -343, -342, -341, -340, -340, -339, -338, -337, -336, -335,
                    -334, -333, -332, -331, -330, -329, -328, -327, -326, -325, -324, -323, -323, -322,
                    -321, -320, -319, -318, -317, -316, -315, -314, -313, -312, -311, -310, -309, -308,
                    -307, -306, -305, -304, -304, -303, -302, -301, -300, -299, -298, -297, -296, -295,
                    -294, -293, -292, -291, -290, -289, -288, -287, -286, -285, -284, -283, -282, -282,
                    -281, -280, -279, -278, -277, -276, -275, -274, -273, -272, -271, -270, -269, -268,
                    -267, -266, -265, -264, -263, -262, -261, -260, -259, -258, -257, -256, -256, -255,
                    -254, -253, -252, -251, -250, -249, -248, -247, -246, -245, -244, -243, -242, -241,
                    -240, -239, -238, -237, -236, -235, -234, -233, -232, -231, -230, -229, -228, -227,
                    -226, -225, -224, -223, -223, -222, -221, -220, -219, -218, -217, -216, -215, -214,
                    -213, -212, -211, -210, -209, -208, -207, -206, -205, -204, -203, -202, -201, -200,
                    -199, -198, -197, -196, -195, -194, -193, -192, -191, -190, -189, -188, -187, -186,
                    -185, -184, -183, -182, -181, -180, -179, -178, -177, -176, -175, -174, -174, -173,
                    -172, -171, -170, -169, -168, -167, -166, -165, -164, -163, -162, -161, -160, -159,
                    -158, -157, -156, -155, -154, -153, -152, -151, -150, -149, -148, -147, -146, -145,
                    -144, -143, -142, -141, -140, -139, -138, -137, -136, -135, -134, -133, -132, -131,
                    -130, -129, -128, -127, -126, -125, -124, -123, -122, -121, -120, -119, -118, -117,
                    -116, -115, -114, -113, -112, -111, -110, -109, -108, -107, -106, -105, -104, -103,
                    -102, -101, -100, -99, -98, -97, -96, -95, -94, -93, -92, -91, -90, -89, -88, -87,
                    -86, -85, -84, -83, -82, -81, -80, -79, -78, -77, -76, -75, -74, -73, -72, -71,
                    -70, -69, -68, -67, -66, -65, -64, -63, -62, -61, -60, -59, -58, -57, -56, -55,
                    -54, -53, -52, -51, -50, -49, -48, -47, -46, -45, -44, -43, -42, -41, -40, -39,
                    -38, -37, -36, -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24, -23,
                    -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7,
                    -6, -5, -4, -3, -2, -1, -0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
                    16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,
                    36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55,
                    56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75,
                    76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 87, 88, 89, 90, 91, 92, 93, 94,
                    95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112,
                    113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128,
                    129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144,
                    145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160,
                    161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176,
                    177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 187, 188, 189, 190, 191,
                    192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207,
                    208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223,
                    224, 225, 226, 227, 228, 229, 230, 231, 231, 232, 233, 234, 235, 236, 237, 238,
                    239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254,
                    255, 256, 257, 258, 259, 260, 261, 262, 262, 263, 264, 265, 266, 267, 268, 269,
                    270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285,
                    286, 287, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300,
                    301, 302, 303, 304, 305, 306, 307, 308, 308, 309, 310, 311, 312, 313, 314, 315,
                    316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 327, 328, 329, 330,
                    331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 343, 344, 345,
                    346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 358, 359, 360,
                    361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 371, 372, 373, 374, 375,
                    376, 377, 378, 379, 380, 381, 382, 383, 384, 384, 385, 386, 387, 388, 389, 390,
                    391, 392, 393, 394, 395, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405,
                    406, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 417, 418, 419,
                    420, 421, 422, 423, 424, 425, 426, 426, 427, 428, 429, 430, 431, 432, 433, 434,
                    435, 436, 436, 437, 438, 439, 440, 441, 442, 443, 444, 444, 445, 446, 447, 448,
                    449, 450, 451, 452, 453, 453, 454, 455, 456, 457, 458, 459, 460, 461, 461, 462,
                    463, 464, 465, 466, 467, 468, 469, 469, 470, 471, 472, 473, 474, 475, 476, 476,
                    477, 478, 479, 480, 481, 482, 483, 483, 484, 485, 486, 487, 488, 489, 490, 490,
                    491, 492, 493, 494, 495, 496, 497, 497, 498, 499, 500, 501, 502, 503, 503, 504,
                    505, 506, 507, 508, 509, 510, 510, 511, 512, 513, 514, 515, 516, 516, 517, 518,
                    519, 520, 521, 522, 522, 523, 524, 525, 526, 527, 527, 528, 529, 530, 531, 532,
                    533, 533, 534, 535, 536, 537, 538, 538, 539, 540, 541, 542, 543, 544, 544, 545,
                    546, 547, 548, 549, 549, 550, 551, 552, 553, 554, 554, 555, 556, 557, 558, 559,
                    559, 560, 561, 562, 563, 563, 564, 565, 566, 567, 568, 568, 569, 570, 571, 572,
                    573, 573, 574, 575, 576, 577, 577, 578, 579, 580, 581, 582, 582, 583, 584, 585,
                    586, 586, 587, 588, 589, 590, 590, 591, 592, 593, 594, 594, 595, 596, 597, 598,
                    598, 599, 600, 601, 602, 602, 603, 604, 605, 606, 606, 607, 608, 609, 610, 610,
                    611, 612, 613, 614, 614, 615, 616, 617, 618, 618, 619, 620, 621, 621, 622, 623,
                    624, 625, 625, 626, 627, 628, 628, 629, 630, 631, 632, 632, 633, 634, 635, 635,
                    636, 637, 638, 639, 639, 640, 641, 642, 642, 643, 644, 645, 645, 646, 647, 648,
                    648, 649, 650, 651, 652, 652, 653, 654, 655, 655, 656, 657, 658, 658, 659, 660,
                    661, 661, 662, 663, 664, 664, 665, 666, 667, 667, 668, 669, 670, 670, 671, 672,
                    673, 673, 674, 675, 675, 676, 677, 678, 678, 679, 680, 681, 681, 682, 683, 684,
                    684, 685, 686, 686, 687, 688, 689, 689, 690, 691, 692, 692, 693, 694, 694, 695,
                    696, 697, 697, 698, 699, 699, 700, 701, 702, 702, 703, 704, 704, 705, 706, 707,
                    707, 708, 709, 709, 710, 711, 711, 712, 713, 714, 714, 715, 716, 716, 717, 718,
                    718, 719, 720, 721, 721, 722, 723, 723, 724, 725, 725, 726, 727, 727, 728, 729,
                    730, 730, 731, 732, 732, 733, 734, 734, 735, 736, 736, 737, 738, 738, 739, 740,
                    740, 741, 742, 742, 743, 744, 744, 745, 746, 746, 747, 748, 748, 749, 750, 750,
                    751, 752, 752, 753, 754, 754, 755, 756, 756, 757, 758, 758, 759, 760, 760, 761,
                    761, 762, 763, 763, 764, 765, 765, 766, 767, 767, 768, 769, 769, 770, 770, 771,
                    772, 772, 773, 774, 774, 775, 776, 776, 777, 777, 778, 779, 779, 780, 781, 781,
                    782, 782, 783, 784, 784, 785, 786, 786, 787, 787, 788, 789, 789, 790, 790, 791,
                    792, 792, 793, 794, 794, 795, 795, 796, 797, 797, 798, 798, 799, 800, 800, 801,
                    801, 802, 803, 803, 804, 804, 805, 806, 806, 807, 807, 808, 809, 809, 810, 810,
                    811, 811, 812, 813, 813, 814, 814, 815, 816, 816, 817, 817, 818, 818, 819, 820,
                    820, 821, 821, 822, 822, 823, 824, 824, 825, 825, 826, 826, 827, 827, 828, 829,
                    829, 830, 830, 831, 831, 832, 833, 833, 834, 834, 835, 835, 836, 836, 837, 837,
                    838, 839, 839, 840, 840, 841, 841, 842, 842, 843, 843, 844, 844, 845, 846, 846,
                    847, 847, 848, 848, 849, 849, 850, 850, 851, 851, 852, 852, 853, 853, 854, 855,
                    855, 856, 856, 857, 857, 858, 858, 859, 859, 860, 860, 861, 861, 862, 862, 863,
                    863, 864, 864, 865, 865, 866, 866, 867, 867, 868, 868, 869, 869, 870, 870, 871,
                    871, 872, 872, 873, 873, 874, 874, 875, 875, 876, 876, 877, 877, 877, 878, 878,
                    879, 879, 880, 880, 881, 881, 882, 882, 883, 883, 884, 884, 885, 885, 886, 886,
                    886, 887, 887, 888, 888, 889, 889, 890, 890, 891, 891, 891, 892, 892, 893, 893,
                    894, 894, 895, 895, 896, 896, 896, 897, 897, 898, 898, 899, 899, 899, 900, 900,
                    901, 901, 902, 902, 903, 903, 903, 904, 904, 905, 905, 906, 906, 906, 907, 907,
                    908, 908, 908, 909, 909, 910, 910, 911, 911, 911, 912, 912, 913, 913, 913, 914,
                    914, 915, 915, 915, 916, 916, 917, 917, 917, 918, 918, 919, 919, 919, 920, 920,
                    921, 921, 921, 922, 922, 923, 923, 923, 924, 924, 924, 925, 925, 926, 926, 926,
                    927, 927, 927, 928, 928, 929, 929, 929, 930, 930, 930, 931, 931, 932, 932, 932,
                    933, 933, 933, 934, 934, 934, 935, 935, 935, 936, 936, 937, 937, 937, 938, 938,
                    938, 939, 939, 939, 940, 940, 940, 941, 941, 941, 942, 942, 942, 943, 943, 943,
                    944, 944, 944, 945, 945, 945, 946, 946, 946, 947, 947, 947, 948, 948, 948, 949,
                    949, 949, 949, 950, 950, 950, 951, 951, 951, 952, 952, 952, 953, 953, 953, 953,
                    954, 954, 954, 955, 955, 955, 956, 956, 956, 956, 957, 957, 957, 958, 958, 958,
                    958, 959, 959, 959, 960, 960, 960, 960, 961, 961, 961, 962, 962, 962, 962, 963,
                    963, 963, 963, 964, 964, 964, 965, 965, 965, 965, 966, 966, 966, 966, 967, 967,
                    967, 967, 968, 968, 968, 968, 969, 969, 969, 969, 970, 970, 970, 970, 971, 971,
                    971, 971, 972, 972, 972, 972, 972, 973, 973, 973, 973, 974, 974, 974, 974, 975,
                    975, 975, 975, 975, 976, 976, 976, 976, 977, 977, 977, 977, 977, 978, 978, 978,
                    978, 978, 979, 979, 979, 979, 979, 980, 980, 980, 980, 980, 981, 981, 981, 981,
                    981, 982, 982, 982, 982, 982, 983, 983, 983, 983, 983, 983, 984, 984, 984, 984,
                    984, 985, 985, 985, 985, 985, 985, 986, 986, 986, 986, 986, 986, 987, 987, 987,
                    987, 987, 987, 988, 988, 988, 988, 988, 988, 988, 989, 989, 989, 989, 989, 989,
                    989, 990, 990, 990, 990, 990, 990, 990, 991, 991, 991, 991, 991, 991, 991, 992,
                    992, 992, 992, 992, 992, 992, 992, 993, 993, 993, 993, 993, 993, 993, 993, 993,
                    994, 994, 994, 994, 994, 994, 994, 994, 994, 995, 995, 995, 995, 995, 995, 995,
                    995, 995, 995, 996, 996, 996, 996, 996, 996, 996, 996, 996, 996, 996, 997, 997,
                    997, 997, 997, 997, 997, 997, 997, 997, 997, 997, 997, 998, 998, 998, 998, 998,
                    998, 998, 998, 998, 998, 998, 998, 998, 998, 998, 998, 999, 999, 999, 999, 999,
                    999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999,
                    999, 999, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000,
                    1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000,
                    1000, 1000, 1000, 1000, 1000,
                ]
            },
            tangent_array: {
                [
                    0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
                    22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
                    42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
                    62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
                    82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101,
                    102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118,
                    119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134,
                    135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150,
                    151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 167,
                    168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183,
                    184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 198, 199, 200,
                    201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216,
                    217, 218, 219, 220, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233,
                    234, 235, 236, 237, 238, 239, 240, 242, 243, 244, 245, 246, 247, 248, 249, 250,
                    251, 252, 253, 254, 255, 256, 257, 259, 260, 261, 262, 263, 264, 265, 266, 267,
                    268, 269, 270, 271, 272, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284,
                    285, 286, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 300, 301, 302,
                    303, 304, 305, 306, 307, 308, 309, 310, 312, 313, 314, 315, 316, 317, 318, 319,
                    320, 321, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 334, 335, 336, 337,
                    338, 339, 340, 341, 343, 344, 345, 346, 347, 348, 349, 350, 351, 353, 354, 355,
                    356, 357, 358, 359, 361, 362, 363, 364, 365, 366, 367, 368, 370, 371, 372, 373,
                    374, 375, 376, 378, 379, 380, 381, 382, 383, 384, 386, 387, 388, 389, 390, 391,
                    392, 394, 395, 396, 397, 398, 399, 401, 402, 403, 404, 405, 406, 408, 409, 410,
                    411, 412, 413, 415, 416, 417, 418, 419, 420, 422, 423, 424, 425, 426, 428, 429,
                    430, 431, 432, 433, 435, 436, 437, 438, 439, 441, 442, 443, 444, 445, 447, 448,
                    449, 450, 451, 453, 454, 455, 456, 457, 459, 460, 461, 462, 463, 465, 466, 467,
                    468, 470, 471, 472, 473, 474, 476, 477, 478, 479, 481, 482, 483, 484, 486, 487,
                    488, 489, 490, 492, 493, 494, 495, 497, 498, 499, 500, 502, 503, 504, 505, 507,
                    508, 509, 510, 512, 513, 514, 516, 517, 518, 519, 521, 522, 523, 524, 526, 527,
                    528, 530, 531, 532, 533, 535, 536, 537, 539, 540, 541, 542, 544, 545, 546, 548,
                    549, 550, 552, 553, 554, 555, 557, 558, 559, 561, 562, 563, 565, 566, 567, 569,
                    570, 571, 573, 574, 575, 577, 578, 579, 581, 582, 583, 585, 586, 587, 589, 590,
                    591, 593, 594, 595, 597, 598, 599, 601, 602, 604, 605, 606, 608, 609, 610, 612,
                    613, 614, 616, 617, 619, 620, 621, 623, 624, 626, 627, 628, 630, 631, 633, 634,
                    635, 637, 638, 640, 641, 642, 644, 645, 647, 648, 649, 651, 652, 654, 655, 657,
                    658, 659, 661, 662, 664, 665, 667, 668, 670, 671, 672, 674, 675, 677, 678, 680,
                    681, 683, 684, 686, 687, 689, 690, 692, 693, 694, 696, 697, 699, 700, 702, 703,
                    705, 706, 708, 709, 711, 712, 714, 715, 717, 718, 720, 721, 723, 725, 726, 728,
                    729, 731, 732, 734, 735, 737, 738, 740, 741, 743, 745, 746, 748, 749, 751, 752,
                    754, 755, 757, 759, 760, 762, 763, 765, 767, 768, 770, 771, 773, 775, 776, 778,
                    779, 781, 783, 784, 786, 787, 789, 791, 792, 794, 796, 797, 799, 800, 802, 804,
                    805, 807, 809, 810, 812, 814, 815, 817, 819, 820, 822, 824, 825, 827, 829, 830,
                    832, 834, 835, 837, 839, 841, 842, 844, 846, 847, 849, 851, 853, 854, 856, 858,
                    860, 861, 863, 865, 867, 868, 870, 872, 874, 875, 877, 879, 881, 882, 884, 886,
                    888, 890, 891, 893, 895, 897, 899, 900, 902, 904, 906, 908, 909, 911, 913, 915,
                    917, 919, 920, 922, 924, 926, 928, 930, 932, 933, 935, 937, 939, 941, 943, 945,
                    947, 949, 950, 952, 954, 956, 958, 960, 962, 964, 966, 968, 970, 972, 974, 976,
                    977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999, 1001, 1003, 1005, 1007,
                    1009, 1011, 1013, 1015, 1017, 1019, 1021, 1023, 1026, 1028, 1030, 1032, 1034, 1036,
                    1038, 1040, 1042, 1044, 1046, 1048, 1050, 1053, 1055, 1057, 1059, 1061, 1063, 1065,
                    1067, 1070, 1072, 1074, 1076, 1078, 1080, 1083, 1085, 1087, 1089, 1091, 1093, 1096,
                    1098, 1100, 1102, 1104, 1107, 1109, 1111, 1113, 1116, 1118, 1120, 1122, 1125, 1127,
                    1129, 1131, 1134, 1136, 1138, 1141, 1143, 1145, 1148, 1150, 1152, 1155, 1157, 1159,
                    1162, 1164, 1166, 1169, 1171, 1173, 1176, 1178, 1181, 1183, 1185, 1188, 1190, 1193,
                    1195, 1197, 1200, 1202, 1205, 1207, 1210, 1212, 1215, 1217, 1220, 1222, 1225, 1227,
                    1230, 1232, 1235, 1237, 1240, 1242, 1245, 1247, 1250, 1252, 1255, 1258, 1260, 1263,
                    1265, 1268, 1271, 1273, 1276, 1278, 1281, 1284, 1286, 1289, 1292, 1294, 1297, 1300,
                    1302, 1305, 1308, 1311, 1313, 1316, 1319, 1321, 1324, 1327, 1330, 1333, 1335, 1338,
                    1341, 1344, 1346, 1349, 1352, 1355, 1358, 1361, 1364, 1366, 1369, 1372, 1375, 1378,
                    1381, 1384, 1387, 1390, 1392, 1395, 1398, 1401, 1404, 1407, 1410, 1413, 1416, 1419,
                    1422, 1425, 1428, 1431, 1434, 1438, 1441, 1444, 1447, 1450, 1453, 1456, 1459, 1462,
                    1465, 1469, 1472, 1475, 1478, 1481, 1485, 1488, 1491, 1494, 1497, 1501, 1504, 1507,
                    1510, 1514, 1517, 1520, 1524, 1527, 1530, 1534, 1537, 1540, 1544, 1547, 1551, 1554,
                    1557, 1561, 1564, 1568, 1571, 1575, 1578, 1582, 1585, 1589, 1592, 1596, 1599, 1603,
                    1606, 1610, 1614, 1617, 1621, 1624, 1628, 1632, 1635, 1639, 1643, 1647, 1650, 1654,
                    1658, 1661, 1665, 1669, 1673, 1677, 1680, 1684, 1688, 1692, 1696, 1700, 1704, 1708,
                    1711, 1715, 1719, 1723, 1727, 1731, 1735, 1739, 1743, 1747, 1751, 1755, 1760, 1764,
                    1768, 1772, 1776, 1780, 1784, 1789, 1793, 1797, 1801, 1806, 1810, 1814, 1818, 1823,
                    1827, 1831, 1836, 1840, 1845, 1849, 1853, 1858, 1862, 1867, 1871, 1876, 1880, 1885,
                    1889, 1894, 1899, 1903, 1908, 1912, 1917, 1922, 1926, 1931, 1936, 1941, 1945, 1950,
                    1955, 1960, 1965, 1970, 1975, 1979, 1984, 1989, 1994, 1999, 2004, 2009, 2014, 2019,
                    2024, 2030, 2035, 2040, 2045, 2050, 2055, 2061, 2066, 2071, 2077, 2082, 2087, 2093,
                    2098, 2103, 2109, 2114, 2120, 2125, 2131, 2136, 2142, 2148, 2153, 2159, 2164, 2170,
                    2176, 2182, 2187, 2193, 2199, 2205, 2211, 2217, 2223, 2229, 2234, 2241, 2247, 2253,
                    2259, 2265, 2271, 2277, 2283, 2290, 2296, 2302, 2308, 2315, 2321, 2328, 2334, 2340,
                    2347, 2353, 2360, 2367, 2373, 2380, 2387, 2393, 2400, 2407, 2414, 2420, 2427, 2434,
                    2441, 2448, 2455, 2462, 2469, 2476, 2483, 2491, 2498, 2505, 2512, 2520, 2527, 2535,
                    2542, 2549, 2557, 2565, 2572, 2580, 2587, 2595, 2603, 2611, 2619, 2626, 2634, 2642,
                    2650, 2658, 2666, 2675, 2683, 2691, 2699, 2708, 2716, 2724, 2733, 2741, 2750, 2758,
                    2767, 2776, 2784, 2793, 2802, 2811, 2820, 2829, 2838, 2847, 2856, 2865, 2874, 2884,
                    2893, 2902, 2912, 2921, 2931, 2941, 2950, 2960, 2970, 2980, 2990, 3000, 3010, 3020,
                    3030, 3040, 3050, 3061, 3071, 3081, 3092, 3103, 3113, 3124, 3135, 3146, 3157, 3168,
                    3179, 3190, 3201, 3212, 3224, 3235, 3247, 3258, 3270, 3282, 3293, 3305, 3317, 3329,
                    3341, 3354, 3366, 3378, 3391, 3403, 3416, 3429, 3441, 3454, 3467, 3480, 3493, 3507,
                    3520, 3533, 3547, 3561, 3574, 3588, 3602, 3616, 3630, 3644, 3659, 3673, 3688, 3702,
                    3717, 3732, 3747, 3762, 3777, 3793, 3808, 3824, 3839, 3855, 3871, 3887, 3903, 3920,
                    3936, 3953, 3969, 3986, 4003, 4020, 4037, 4055, 4072, 4090, 4108, 4126, 4144, 4162,
                    4180, 4199, 4218, 4237, 4256, 4275, 4294, 4314, 4333, 4353, 4373, 4393, 4414, 4434,
                    4455, 4476, 4497, 4519, 4540, 4562, 4584, 4606, 4628, 4651, 4673, 4696, 4720, 4743,
                    4767, 4790, 4814, 4839, 4863, 4888, 4913, 4938, 4964, 4990, 5016, 5042, 5068, 5095,
                    5122, 5150, 5177, 5205, 5234, 5262, 5291, 5320, 5350, 5379, 5410, 5440, 5471, 5502,
                    5533, 5565, 5597, 5630, 5663, 5696, 5729, 5763, 5798, 5833, 5868, 5904, 5940, 5976,
                    6013, 6050, 6088, 6127, 6165, 6205, 6244, 6285, 6325, 6367, 6408, 6451, 6494, 6537,
                    6581, 6626, 6671, 6717, 6763, 6810, 6858, 6906, 6955, 7005, 7055, 7107, 7158, 7211,
                    7264, 7319, 7374, 7429, 7486, 7543, 7602, 7661, 7721, 7782, 7844, 7907, 7971, 8036,
                    8103, 8170, 8238, 8308, 8378, 8450, 8523, 8597, 8673, 8750, 8828, 8908, 8989, 9071,
                    9155, 9241, 9328, 9417, 9507, 9600, 9694, 9790, 9887, 9987, 10089, 10193,
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                    30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
                    50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70,
                    71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90,
                    91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108,
                    109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124,
                    125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140,
                    141, 142, 143, 144, 145, 146, 147, 148, 150, 151, 152, 153, 154, 155, 156, 157,
                    158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173,
                    174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 187, 188, 189, 190,
                    191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206,
                    207, 208, 209, 210, 211, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223,
                    224, 225, 226, 227, 228, 229, 230, 231, 232, 234, 235, 236, 237, 238, 239, 240,
                    241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 252, 253, 254, 255, 256, 257,
                    258, 259, 260, 261, 262, 263, 264, 265, 266, 268, 269, 270, 271, 272, 273, 274,
                    275, 276, 277, 278, 279, 280, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291,
                    292, 293, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 308, 309,
                    310, 311, 312, 313, 314, 315, 316, 317, 319, 320, 321, 322, 323, 324, 325, 326,
                    327, 329, 330, 331, 332, 333, 334, 335, 336, 337, 339, 340, 341, 342, 343, 344,
                    345, 346, 347, 349, 350, 351, 352, 353, 354, 355, 356, 358, 359, 360, 361, 362,
                    363, 364, 365, 367, 368, 369, 370, 371, 372, 373, 375, 376, 377, 378, 379, 380,
                    381, 383, 384, 385, 386, 387, 388, 389, 391, 392, 393, 394, 395, 396, 398, 399,
                    400, 401, 402, 403, 405, 406, 407, 408, 409, 410, 412, 413, 414, 415, 416, 417,
                    419, 420, 421, 422, 423, 424, 426, 427, 428, 429, 430, 432, 433, 434, 435, 436,
                    437, 439, 440, 441, 442, 443, 445, 446, 447, 448, 449, 451, 452, 453, 454, 455,
                    457, 458, 459, 460, 462, 463, 464, 465, 466, 468, 469, 470, 471, 473, 474, 475,
                    476, 477, 479, 480, 481, 482, 484, 485, 486, 487, 489, 490, 491, 492, 493, 495,
                    496, 497, 498, 500, 501, 502, 503, 505, 506, 507, 508, 510, 511, 512, 514, 515,
                    516, 517, 519, 520, 521, 522, 524, 525, 526, 528, 529, 530, 531, 533, 534, 535,
                    536, 538, 539, 540, 542, 543, 544, 546, 547, 548, 549, 551, 552, 553, 555, 556,
                    557, 559, 560, 561, 563, 564, 565, 566, 568, 569, 570, 572, 573, 574, 576, 577,
                    578, 580, 581, 582, 584, 585, 586, 588, 589, 591, 592, 593, 595, 596, 597, 599,
                    600, 601, 603, 604, 605, 607, 608, 610, 611, 612, 614, 615, 616, 618, 619, 621,
                    622, 623, 625, 626, 628, 629, 630, 632, 633, 635, 636, 637, 639, 640, 642, 643,
                    644, 646, 647, 649, 650, 651, 653, 654, 656, 657, 659, 660, 661, 663, 664, 666,
                    667, 669, 670, 672, 673, 675, 676, 677, 679, 680, 682, 683, 685, 686, 688, 689,
                    691, 692, 694, 695, 697, 698, 700, 701, 703, 704, 705, 707, 708, 710, 712, 713,
                    715, 716, 718, 719, 721, 722, 724, 725, 727, 728, 730, 731, 733, 734, 736, 737,
                    739, 741, 742, 744, 745, 747, 748, 750, 751, 753, 755, 756, 758, 759, 761, 762,
                    764, 766, 767, 769, 770, 772, 774, 775, 777, 778, 780, 782, 783, 785, 786, 788,
                    790, 791, 793, 795, 796, 798, 799, 801, 803, 804, 806, 808, 809, 811, 813, 814,
                    816, 818, 819, 821, 823, 824, 826, 828, 829, 831, 833, 834, 836, 838, 840, 841,
                    843, 845, 846, 848, 850, 852, 853, 855, 857, 858, 860, 862, 864, 865, 867, 869,
                    871, 872, 874, 876, 878, 880, 881, 883, 885, 887, 888, 890, 892, 894, 896, 897,
                    899, 901, 903, 905, 907, 908, 910, 912, 914, 916, 918, 919, 921, 923, 925, 927,
                    929, 930, 932, 934, 936, 938, 940, 942, 944, 946, 947, 949, 951, 953, 955, 957,
                    959, 961, 963, 965, 967, 969, 970, 972, 974, 976, 978, 980, 982, 984, 986, 988,
                    990, 992, 994, 996, 998, 1000, 1002, 1004, 1006, 1008, 1010, 1012, 1014, 1016,
                    1018, 1020, 1022, 1024, 1026, 1028, 1030, 1033, 1035, 1037, 1039, 1041, 1043, 1045,
                    1047, 1049, 1051, 1053, 1056, 1058, 1060, 1062, 1064, 1066, 1068, 1070, 1073, 1075,
                    1077, 1079, 1081, 1083, 1086, 1088, 1090, 1092, 1094, 1097, 1099, 1101, 1103, 1105,
                    1108, 1110, 1112, 1114, 1117, 1119, 1121, 1123, 1126, 1128, 1130, 1132, 1135, 1137,
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                    1206, 1208, 1211, 1213, 1216, 1218, 1221, 1223, 1226, 1228, 1231, 1233, 1236, 1238,
                    1241, 1243, 1246, 1248, 1251, 1253, 1256, 1259, 1261, 1264, 1266, 1269, 1272, 1274,
                    1277, 1280, 1282, 1285, 1287, 1290, 1293, 1295, 1298, 1301, 1304, 1306, 1309, 1312,
                    1314, 1317, 1320, 1323, 1325, 1328, 1331, 1334, 1336, 1339, 1342, 1345, 1348, 1350,
                    1353, 1356, 1359, 1362, 1365, 1368, 1370, 1373, 1376, 1379, 1382, 1385, 1388, 1391,
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                    1436, 1439, 1442, 1445, 1448, 1451, 1454, 1457, 1460, 1464, 1467, 1470, 1473, 1476,
                    1479, 1483, 1486, 1489, 1492, 1496, 1499, 1502, 1505, 1509, 1512, 1515, 1518, 1522,
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                    1573, 1576, 1580, 1583, 1587, 1590, 1594, 1597, 1601, 1604, 1608, 1611, 1615, 1619,
                    1622, 1626, 1630, 1633, 1637, 1641, 1644, 1648, 1652, 1656, 1659, 1663, 1667, 1671,
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                    1729, 1733, 1737, 1741, 1745, 1749, 1753, 1757, 1761, 1765, 1769, 1774, 1778, 1782,
                    1786, 1790, 1795, 1799, 1803, 1807, 1812, 1816, 1820, 1824, 1829, 1833, 1838, 1842,
                    1846, 1851, 1855, 1860, 1864, 1869, 1873, 1878, 1882, 1887, 1891, 1896, 1900, 1905,
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                    -1004, -1002, -1000, -998, -996, -994, -992, -990, -988, -986, -984, -982,
                    -980, -978, -976, -974, -972, -970, -968, -966, -964, -962, -960, -958, -957, -955,
                    -953, -951, -949, -947, -945, -943, -941, -939, -938, -936, -934, -932, -930, -928,
                    -926, -924, -923, -921, -919, -917, -915, -913, -912, -910, -908, -906, -904, -902,
                    -901, -899, -897, -895, -893, -892, -890, -888, -886, -885, -883, -881, -879, -877,
                    -876, -874, -872, -870, -869, -867, -865, -863, -862, -860, -858, -856, -855, -853,
                    -851, -849, -848, -846, -844, -843, -841, -839, -837, -836, -834, -832, -831, -829,
                    -827, -826, -824, -822, -821, -819, -817, -816, -814, -812, -811, -809, -807, -806,
                    -804, -802, -801, -799, -797, -796, -794, -793, -791, -789, -788, -786, -784, -783,
                    -781, -780, -778, -776, -775, -773, -772, -770, -768, -767, -765, -764, -762, -760,
                    -759, -757, -756, -754, -753, -751, -750, -748, -746, -745, -743, -742, -740, -739,
                    -737, -736, -734, -732, -731, -729, -728, -726, -725, -723, -722, -720, -719, -717,
                    -716, -714, -713, -711, -710, -708, -707, -705, -704, -702, -701, -699, -698, -696,
                    -695, -693, -692, -690, -689, -687, -686, -684, -683, -681, -680, -679, -677, -676,
                    -674, -673, -671, -670, -668, -667, -665, -664, -663, -661, -660, -658, -657, -655,
                    -654, -653, -651, -650, -648, -647, -645, -644, -643, -641, -640, -638, -637, -636,
                    -634, -633, -631, -630, -629, -627, -626, -624, -623, -622, -620, -619, -617, -616,
                    -615, -613, -612, -611, -609, -608, -607, -605, -604, -602, -601, -600, -598, -597,
                    -596, -594, -593, -592, -590, -589, -588, -586, -585, -583, -582, -581, -579, -578,
                    -577, -575, -574, -573, -571, -570, -569, -568, -566, -565, -564, -562, -561, -560,
                    -558, -557, -556, -554, -553, -552, -550, -549, -548, -547, -545, -544, -543, -541,
                    -540, -539, -537, -536, -535, -534, -532, -531, -530, -528, -527, -526, -525, -523,
                    -522, -521, -520, -518, -517, -516, -515, -513, -512, -511, -509, -508, -507, -506,
                    -504, -503, -502, -501, -499, -498, -497, -496, -494, -493, -492, -491, -489, -488,
                    -487, -486, -485, -483, -482, -481, -480, -478, -477, -476, -475, -473, -472, -471,
                    -470, -469, -467, -466, -465, -464, -462, -461, -460, -459, -458, -456, -455, -454,
                    -453, -452, -450, -449, -448, -447, -446, -444, -443, -442, -441, -440, -438, -437,
                    -436, -435, -434, -432, -431, -430, -429, -428, -427, -425, -424, -423, -422, -421,
                    -419, -418, -417, -416, -415, -414, -412, -411, -410, -409, -408, -407, -405, -404,
                    -403, -402, -401, -400, -398, -397, -396, -395, -394, -393, -392, -390, -389, -388,
                    -387, -386, -385, -383, -382, -381, -380, -379, -378, -377, -375, -374, -373, -372,
                    -371, -370, -369, -368, -366, -365, -364, -363, -362, -361, -360, -358, -357, -356,
                    -355, -354, -353, -352, -351, -349, -348, -347, -346, -345, -344, -343, -342, -340,
                    -339, -338, -337, -336, -335, -334, -333, -332, -330, -329, -328, -327, -326, -325,
                    -324, -323, -322, -321, -319, -318, -317, -316, -315, -314, -313, -312, -311, -310,
                    -308, -307, -306, -305, -304, -303, -302, -301, -300, -299, -298, -296, -295, -294,
                    -293, -292, -291, -290, -289, -288, -287, -286, -285, -283, -282, -281, -280, -279,
                    -278, -277, -276, -275, -274, -273, -272, -271, -269, -268, -267, -266, -265, -264,
                    -263, -262, -261, -260, -259, -258, -257, -256, -254, -253, -252, -251, -250, -249,
                    -248, -247, -246, -245, -244, -243, -242, -241, -240, -239, -238, -236, -235, -234,
                    -233, -232, -231, -230, -229, -228, -227, -226, -225, -224, -223, -222, -221, -220,
                    -219, -218, -216, -215, -214, -213, -212, -211, -210, -209, -208, -207, -206, -205,
                    -204, -203, -202, -201, -200, -199, -198, -197, -196, -195, -194, -193, -191, -190,
                    -189, -188, -187, -186, -185, -184, -183, -182, -181, -180, -179, -178, -177, -176,
                    -175, -174, -173, -172, -171, -170, -169, -168, -167, -166, -165, -164, -163, -162,
                    -161, -160, -158, -157, -156, -155, -154, -153, -152, -151, -150, -149, -148, -147,
                    -146, -145, -144, -143, -142, -141, -140, -139, -138, -137, -136, -135, -134, -133,
                    -132, -131, -130, -129, -128, -127, -126, -125, -124, -123, -122, -121, -120, -119,
                    -118, -117, -116, -115, -114, -113, -112, -111, -110, -109, -108, -107, -106, -105,
                    -104, -103, -102, -101, -100, -99, -97, -96, -95, -94, -93, -92, -91, -90, -89, -88,
                    -87, -86, -85, -84, -83, -82, -81, -80, -79, -78, -77, -76, -75, -74, -73, -72,
                    -71, -70, -69, -68, -67, -66, -65, -64, -63, -62, -61, -60, -59, -58, -57, -56,
                    -55, -54, -53, -52, -51, -50, -49, -48, -47, -46, -45, -44, -43, -42, -41, -40,
                    -39, -38, -37, -36, -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24,
                    -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8,
                    -7, -6, -5, -4, -3, -2, -1,
                ]
            },
            arcsine_array: {
                [
                    -1571, -1526, -1508, -1493, -1481, -1471, -1461, -1452, -1444, -1437, -1429, -1422,
                    -1416, -1409, -1403, -1397, -1392, -1386, -1381, -1376, -1370, -1365, -1361, -1356,
                    -1351, -1347, -1342, -1338, -1334, -1329, -1325, -1321, -1317, -1313, -1309, -1305,
                    -1302, -1298, -1294, -1291, -1287, -1283, -1280, -1276, -1273, -1270, -1266, -1263,
                    -1260, -1256, -1253, -1250, -1247, -1244, -1241, -1238, -1235, -1232, -1229, -1226,
                    -1223, -1220, -1217, -1214, -1211, -1208, -1205, -1203, -1200, -1197, -1194, -1192,
                    -1189, -1186, -1184, -1181, -1178, -1176, -1173, -1171, -1168, -1166, -1163, -1160,
                    -1158, -1156, -1153, -1151, -1148, -1146, -1143, -1141, -1138, -1136, -1134, -1131,
                    -1129, -1127, -1124, -1122, -1120, -1117, -1115, -1113, -1111, -1108, -1106, -1104,
                    -1102, -1100, -1097, -1095, -1093, -1091, -1089, -1086, -1084, -1082, -1080, -1078,
                    -1076, -1074, -1072, -1070, -1068, -1065, -1063, -1061, -1059, -1057, -1055, -1053,
                    -1051, -1049, -1047, -1045, -1043, -1041, -1039, -1037, -1035, -1033, -1031, -1029,
                    -1027, -1026, -1024, -1022, -1020, -1018, -1016, -1014, -1012, -1010, -1008, -1007,
                    -1005, -1003, -1001, -999, -997, -995, -994, -992, -990, -988, -986, -985,
                    -983, -981, -979, -977, -976, -974, -972, -970, -968, -967, -965, -963, -961, -960,
                    -958, -956, -954, -953, -951, -949, -948, -946, -944, -942, -941, -939, -937, -936,
                    -934, -932, -931, -929, -927, -926, -924, -922, -921, -919, -917, -916, -914, -912,
                    -911, -909, -908, -906, -904, -903, -901, -899, -898, -896, -895, -893, -891, -890,
                    -888, -887, -885, -884, -882, -880, -879, -877, -876, -874, -873, -871, -869, -868,
                    -866, -865, -863, -862, -860, -859, -857, -856, -854, -853, -851, -850, -848, -847,
                    -845, -844, -842, -841, -839, -838, -836, -835, -833, -832, -830, -829, -827, -826,
                    -824, -823, -821, -820, -818, -817, -815, -814, -812, -811, -810, -808, -807, -805,
                    -804, -802, -801, -799, -798, -797, -795, -794, -792, -791, -789, -788, -787, -785,
                    -784, -782, -781, -780, -778, -777, -775, -774, -773, -771, -770, -768, -767, -766,
                    -764, -763, -761, -760, -759, -757, -756, -755, -753, -752, -750, -749, -748, -746,
                    -745, -744, -742, -741, -740, -738, -737, -736, -734, -733, -732, -730, -729, -727,
                    -726, -725, -723, -722, -721, -719, -718, -717, -716, -714, -713, -712, -710, -709,
                    -708, -706, -705, -704, -702, -701, -700, -698, -697, -696, -694, -693, -692, -691,
                    -689, -688, -687, -685, -684, -683, -682, -680, -679, -678, -676, -675, -674, -673,
                    -671, -670, -669, -667, -666, -665, -664, -662, -661, -660, -659, -657, -656, -655,
                    -654, -652, -651, -650, -649, -647, -646, -645, -644, -642, -641, -640, -639, -637,
                    -636, -635, -634, -632, -631, -630, -629, -627, -626, -625, -624, -622, -621, -620,
                    -619, -618, -616, -615, -614, -613, -611, -610, -609, -608, -607, -605, -604, -603,
                    -602, -600, -599, -598, -597, -596, -594, -593, -592, -591, -590, -588, -587, -586,
                    -585, -584, -582, -581, -580, -579, -578, -576, -575, -574, -573, -572, -570, -569,
                    -568, -567, -566, -565, -563, -562, -561, -560, -559, -557, -556, -555, -554, -553,
                    -552, -550, -549, -548, -547, -546, -545, -543, -542, -541, -540, -539, -538, -536,
                    -535, -534, -533, -532, -531, -529, -528, -527, -526, -525, -524, -522, -521, -520,
                    -519, -518, -517, -516, -514, -513, -512, -511, -510, -509, -508, -506, -505, -504,
                    -503, -502, -501, -500, -498, -497, -496, -495, -494, -493, -492, -490, -489, -488,
                    -487, -486, -485, -484, -483, -481, -480, -479, -478, -477, -476, -475, -473, -472,
                    -471, -470, -469, -468, -467, -466, -465, -463, -462, -461, -460, -459, -458, -457,
                    -456, -454, -453, -452, -451, -450, -449, -448, -447, -446, -444, -443, -442, -441,
                    -440, -439, -438, -437, -436, -435, -433, -432, -431, -430, -429, -428, -427, -426,
                    -425, -424, -422, -421, -420, -419, -418, -417, -416, -415, -414, -413, -412, -410,
                    -409, -408, -407, -406, -405, -404, -403, -402, -401, -400, -398, -397, -396, -395,
                    -394, -393, -392, -391, -390, -389, -388, -387, -385, -384, -383, -382, -381, -380,
                    -379, -378, -377, -376, -375, -374, -373, -371, -370, -369, -368, -367, -366, -365,
                    -364, -363, -362, -361, -360, -359, -358, -357, -355, -354, -353, -352, -351, -350,
                    -349, -348, -347, -346, -345, -344, -343, -342, -341, -339, -338, -337, -336, -335,
                    -334, -333, -332, -331, -330, -329, -328, -327, -326, -325, -324, -323, -322, -320,
                    -319, -318, -317, -316, -315, -314, -313, -312, -311, -310, -309, -308, -307, -306,
                    -305, -304, -303, -302, -301, -299, -298, -297, -296, -295, -294, -293, -292, -291,
                    -290, -289, -288, -287, -286, -285, -284, -283, -282, -281, -280, -279, -278, -277,
                    -275, -274, -273, -272, -271, -270, -269, -268, -267, -266, -265, -264, -263, -262,
                    -261, -260, -259, -258, -257, -256, -255, -254, -253, -252, -251, -250, -249, -248,
                    -246, -245, -244, -243, -242, -241, -240, -239, -238, -237, -236, -235, -234, -233,
                    -232, -231, -230, -229, -228, -227, -226, -225, -224, -223, -222, -221, -220, -219,
                    -218, -217, -216, -215, -214, -213, -212, -211, -210, -209, -207, -206, -205, -204,
                    -203, -202, -201, -200, -199, -198, -197, -196, -195, -194, -193, -192, -191, -190,
                    -189, -188, -187, -186, -185, -184, -183, -182, -181, -180, -179, -178, -177, -176,
                    -175, -174, -173, -172, -171, -170, -169, -168, -167, -166, -165, -164, -163, -162,
                    -161, -160, -159, -158, -157, -156, -155, -154, -153, -152, -151, -150, -149, -148,
                    -147, -146, -145, -143, -142, -141, -140, -139, -138, -137, -136, -135, -134, -133,
                    -132, -131, -130, -129, -128, -127, -126, -125, -124, -123, -122, -121, -120, -119,
                    -118, -117, -116, -115, -114, -113, -112, -111, -110, -109, -108, -107, -106, -105,
                    -104, -103, -102, -101, -100, -99, -98, -97, -96, -95, -94, -93, -92, -91, -90, -89,
                    -88, -87, -86, -85, -84, -83, -82, -81, -80, -79, -78, -77, -76, -75, -74, -73,
                    -72, -71, -70, -69, -68, -67, -66, -65, -64, -63, -62, -61, -60, -59, -58, -57,
                    -56, -55, -54, -53, -52, -51, -50, -49, -48, -47, -46, -45, -44, -43, -42, -41,
                    -40, -39, -38, -37, -36, -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25,
                    -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9,
                    -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,
                    14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33,
                    34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,
                    54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73,
                    74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93,
                    94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,
                    112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127,
                    128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143,
                    145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160,
                    161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176,
                    177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192,
                    193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 209,
                    210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 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, 255, 256, 257, 258,
                    259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274,
                    275, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291,
                    292, 293, 294, 295, 296, 297, 298, 299, 301, 302, 303, 304, 305, 306, 307, 308,
                    309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 322, 323, 324, 325,
                    326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 341, 342,
                    343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 357, 358, 359,
                    360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 373, 374, 375, 376,
                    377, 378, 379, 380, 381, 382, 383, 384, 385, 387, 388, 389, 390, 391, 392, 393,
                    394, 395, 396, 397, 398, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410,
                    412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 424, 425, 426, 427, 428,
                    429, 430, 431, 432, 433, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 446,
                    447, 448, 449, 450, 451, 452, 453, 454, 456, 457, 458, 459, 460, 461, 462, 463,
                    465, 466, 467, 468, 469, 470, 471, 472, 473, 475, 476, 477, 478, 479, 480, 481,
                    483, 484, 485, 486, 487, 488, 489, 490, 492, 493, 494, 495, 496, 497, 498, 500,
                    501, 502, 503, 504, 505, 506, 508, 509, 510, 511, 512, 513, 514, 516, 517, 518,
                    519, 520, 521, 522, 524, 525, 526, 527, 528, 529, 531, 532, 533, 534, 535, 536,
                    538, 539, 540, 541, 542, 543, 545, 546, 547, 548, 549, 550, 552, 553, 554, 555,
                    556, 557, 559, 560, 561, 562, 563, 565, 566, 567, 568, 569, 570, 572, 573, 574,
                    575, 576, 578, 579, 580, 581, 582, 584, 585, 586, 587, 588, 590, 591, 592, 593,
                    594, 596, 597, 598, 599, 600, 602, 603, 604, 605, 607, 608, 609, 610, 611, 613,
                    614, 615, 616, 618, 619, 620, 621, 622, 624, 625, 626, 627, 629, 630, 631, 632,
                    634, 635, 636, 637, 639, 640, 641, 642, 644, 645, 646, 647, 649, 650, 651, 652,
                    654, 655, 656, 657, 659, 660, 661, 662, 664, 665, 666, 667, 669, 670, 671, 673,
                    674, 675, 676, 678, 679, 680, 682, 683, 684, 685, 687, 688, 689, 691, 692, 693,
                    694, 696, 697, 698, 700, 701, 702, 704, 705, 706, 708, 709, 710, 712, 713, 714,
                    716, 717, 718, 719, 721, 722, 723, 725, 726, 727, 729, 730, 732, 733, 734, 736,
                    737, 738, 740, 741, 742, 744, 745, 746, 748, 749, 750, 752, 753, 755, 756, 757,
                    759, 760, 761, 763, 764, 766, 767, 768, 770, 771, 773, 774, 775, 777, 778, 780,
                    781, 782, 784, 785, 787, 788, 789, 791, 792, 794, 795, 797, 798, 799, 801, 802,
                    804, 805, 807, 808, 810, 811, 812, 814, 815, 817, 818, 820, 821, 823, 824, 826,
                    827, 829, 830, 832, 833, 835, 836, 838, 839, 841, 842, 844, 845, 847, 848, 850,
                    851, 853, 854, 856, 857, 859, 860, 862, 863, 865, 866, 868, 869, 871, 873, 874,
                    876, 877, 879, 880, 882, 884, 885, 887, 888, 890, 891, 893, 895, 896, 898, 899,
                    901, 903, 904, 906, 908, 909, 911, 912, 914, 916, 917, 919, 921, 922, 924, 926,
                    927, 929, 931, 932, 934, 936, 937, 939, 941, 942, 944, 946, 948, 949, 951, 953,
                    954, 956, 958, 960, 961, 963, 965, 967, 968, 970, 972, 974, 976, 977, 979, 981,
                    983, 985, 986, 988, 990, 992, 994, 995, 997, 999, 1001, 1003, 1005, 1007, 1008, 1010,
                    1012, 1014, 1016, 1018, 1020, 1022, 1024, 1026, 1027, 1029, 1031, 1033, 1035, 1037,
                    1039, 1041, 1043, 1045, 1047, 1049, 1051, 1053, 1055, 1057, 1059, 1061, 1063, 1065,
                    1068, 1070, 1072, 1074, 1076, 1078, 1080, 1082, 1084, 1086, 1089, 1091, 1093, 1095,
                    1097, 1100, 1102, 1104, 1106, 1108, 1111, 1113, 1115, 1117, 1120, 1122, 1124, 1127,
                    1129, 1131, 1134, 1136, 1138, 1141, 1143, 1146, 1148, 1151, 1153, 1156, 1158, 1160,
                    1163, 1166, 1168, 1171, 1173, 1176, 1178, 1181, 1184, 1186, 1189, 1192, 1194, 1197,
                    1200, 1203, 1205, 1208, 1211, 1214, 1217, 1220, 1223, 1226, 1229, 1232, 1235, 1238,
                    1241, 1244, 1247, 1250, 1253, 1256, 1260, 1263, 1266, 1270, 1273, 1276, 1280, 1283,
                    1287, 1291, 1294, 1298, 1302, 1305, 1309, 1313, 1317, 1321, 1325, 1329, 1334, 1338,
                    1342, 1347, 1351, 1356, 1361, 1365, 1370, 1376, 1381, 1386, 1392, 1397, 1403, 1409,
                    1416, 1422, 1429, 1437, 1444, 1452, 1461, 1471, 1481, 1493, 1508, 1526, 1571,
                ]
            },
            arccosine_array: {
                [
                    3142, 3097, 3078, 3064, 3052, 3042, 3032, 3023, 3015, 3007, 3000, 2993, 2987, 2980,
                    2974, 2968, 2962, 2957, 2952, 2946, 2941, 2936, 2931, 2927, 2922, 2918, 2913, 2909,
                    2904, 2900, 2896, 2892, 2888, 2884, 2880, 2876, 2872, 2869, 2865, 2861, 2858, 2854,
                    2851, 2847, 2844, 2840, 2837, 2834, 2831, 2827, 2824, 2821, 2818, 2815, 2811, 2808,
                    2805, 2802, 2799, 2796, 2793, 2791, 2788, 2785, 2782, 2779, 2776, 2773, 2771, 2768,
                    2765, 2762, 2760, 2757, 2754, 2752, 2749, 2747, 2744, 2741, 2739, 2736, 2734, 2731,
                    2729, 2726, 2724, 2721, 2719, 2716, 2714, 2712, 2709, 2707, 2705, 2702, 2700, 2697,
                    2695, 2693, 2691, 2688, 2686, 2684, 2681, 2679, 2677, 2675, 2673, 2670, 2668, 2666,
                    2664, 2662, 2659, 2657, 2655, 2653, 2651, 2649, 2647, 2645, 2642, 2640, 2638, 2636,
                    2634, 2632, 2630, 2628, 2626, 2624, 2622, 2620, 2618, 2616, 2614, 2612, 2610, 2608,
                    2606, 2604, 2602, 2600, 2598, 2596, 2594, 2593, 2591, 2589, 2587, 2585, 2583, 2581,
                    2579, 2577, 2575, 2574, 2572, 2570, 2568, 2566, 2564, 2563, 2561, 2559, 2557, 2555,
                    2553, 2552, 2550, 2548, 2546, 2545, 2543, 2541, 2539, 2537, 2536, 2534, 2532, 2530,
                    2529, 2527, 2525, 2524, 2522, 2520, 2518, 2517, 2515, 2513, 2512, 2510, 2508, 2506,
                    2505, 2503, 2501, 2500, 2498, 2496, 2495, 2493, 2491, 2490, 2488, 2487, 2485, 2483,
                    2482, 2480, 2478, 2477, 2475, 2473, 2472, 2470, 2469, 2467, 2465, 2464, 2462, 2461,
                    2459, 2458, 2456, 2454, 2453, 2451, 2450, 2448, 2447, 2445, 2443, 2442, 2440, 2439,
                    2437, 2436, 2434, 2433, 2431, 2430, 2428, 2426, 2425, 2423, 2422, 2420, 2419, 2417,
                    2416, 2414, 2413, 2411, 2410, 2408, 2407, 2405, 2404, 2402, 2401, 2399, 2398, 2396,
                    2395, 2394, 2392, 2391, 2389, 2388, 2386, 2385, 2383, 2382, 2380, 2379, 2377, 2376,
                    2375, 2373, 2372, 2370, 2369, 2367, 2366, 2365, 2363, 2362, 2360, 2359, 2357, 2356,
                    2355, 2353, 2352, 2350, 2349, 2348, 2346, 2345, 2343, 2342, 2341, 2339, 2338, 2336,
                    2335, 2334, 2332, 2331, 2330, 2328, 2327, 2325, 2324, 2323, 2321, 2320, 2319, 2317,
                    2316, 2314, 2313, 2312, 2310, 2309, 2308, 2306, 2305, 2304, 2302, 2301, 2300, 2298,
                    2297, 2296, 2294, 2293, 2292, 2290, 2289, 2288, 2286, 2285, 2284, 2282, 2281, 2280,
                    2278, 2277, 2276, 2274, 2273, 2272, 2271, 2269, 2268, 2267, 2265, 2264, 2263, 2261,
                    2260, 2259, 2258, 2256, 2255, 2254, 2252, 2251, 2250, 2248, 2247, 2246, 2245, 2243,
                    2242, 2241, 2240, 2238, 2237, 2236, 2234, 2233, 2232, 2231, 2229, 2228, 2227, 2226,
                    2224, 2223, 2222, 2221, 2219, 2218, 2217, 2216, 2214, 2213, 2212, 2211, 2209, 2208,
                    2207, 2206, 2204, 2203, 2202, 2201, 2199, 2198, 2197, 2196, 2194, 2193, 2192, 2191,
                    2190, 2188, 2187, 2186, 2185, 2183, 2182, 2181, 2180, 2179, 2177, 2176, 2175, 2174,
                    2172, 2171, 2170, 2169, 2168, 2166, 2165, 2164, 2163, 2162, 2160, 2159, 2158, 2157,
                    2156, 2154, 2153, 2152, 2151, 2150, 2148, 2147, 2146, 2145, 2144, 2142, 2141, 2140,
                    2139, 2138, 2136, 2135, 2134, 2133, 2132, 2131, 2129, 2128, 2127, 2126, 2125, 2124,
                    2122, 2121, 2120, 2119, 2118, 2116, 2115, 2114, 2113, 2112, 2111, 2109, 2108, 2107,
                    2106, 2105, 2104, 2102, 2101, 2100, 2099, 2098, 2097, 2096, 2094, 2093, 2092, 2091,
                    2090, 2089, 2087, 2086, 2085, 2084, 2083, 2082, 2081, 2079, 2078, 2077, 2076, 2075,
                    2074, 2073, 2071, 2070, 2069, 2068, 2067, 2066, 2065, 2063, 2062, 2061, 2060, 2059,
                    2058, 2057, 2056, 2054, 2053, 2052, 2051, 2050, 2049, 2048, 2047, 2045, 2044, 2043,
                    2042, 2041, 2040, 2039, 2038, 2036, 2035, 2034, 2033, 2032, 2031, 2030, 2029, 2028,
                    2026, 2025, 2024, 2023, 2022, 2021, 2020, 2019, 2018, 2016, 2015, 2014, 2013, 2012,
                    2011, 2010, 2009, 2008, 2006, 2005, 2004, 2003, 2002, 2001, 2000, 1999, 1998, 1997,
                    1995, 1994, 1993, 1992, 1991, 1990, 1989, 1988, 1987, 1986, 1984, 1983, 1982, 1981,
                    1980, 1979, 1978, 1977, 1976, 1975, 1974, 1973, 1971, 1970, 1969, 1968, 1967, 1966,
                    1965, 1964, 1963, 1962, 1961, 1960, 1958, 1957, 1956, 1955, 1954, 1953, 1952, 1951,
                    1950, 1949, 1948, 1947, 1946, 1944, 1943, 1942, 1941, 1940, 1939, 1938, 1937, 1936,
                    1935, 1934, 1933, 1932, 1931, 1929, 1928, 1927, 1926, 1925, 1924, 1923, 1922, 1921,
                    1920, 1919, 1918, 1917, 1916, 1915, 1913, 1912, 1911, 1910, 1909, 1908, 1907, 1906,
                    1905, 1904, 1903, 1902, 1901, 1900, 1899, 1898, 1897, 1895, 1894, 1893, 1892, 1891,
                    1890, 1889, 1888, 1887, 1886, 1885, 1884, 1883, 1882, 1881, 1880, 1879, 1878, 1877,
                    1875, 1874, 1873, 1872, 1871, 1870, 1869, 1868, 1867, 1866, 1865, 1864, 1863, 1862,
                    1861, 1860, 1859, 1858, 1857, 1856, 1855, 1854, 1853, 1851, 1850, 1849, 1848, 1847,
                    1846, 1845, 1844, 1843, 1842, 1841, 1840, 1839, 1838, 1837, 1836, 1835, 1834, 1833,
                    1832, 1831, 1830, 1829, 1828, 1827, 1826, 1825, 1823, 1822, 1821, 1820, 1819, 1818,
                    1817, 1816, 1815, 1814, 1813, 1812, 1811, 1810, 1809, 1808, 1807, 1806, 1805, 1804,
                    1803, 1802, 1801, 1800, 1799, 1798, 1797, 1796, 1795, 1794, 1793, 1792, 1791, 1790,
                    1789, 1787, 1786, 1785, 1784, 1783, 1782, 1781, 1780, 1779, 1778, 1777, 1776, 1775,
                    1774, 1773, 1772, 1771, 1770, 1769, 1768, 1767, 1766, 1765, 1764, 1763, 1762, 1761,
                    1760, 1759, 1758, 1757, 1756, 1755, 1754, 1753, 1752, 1751, 1750, 1749, 1748, 1747,
                    1746, 1745, 1744, 1743, 1742, 1741, 1740, 1739, 1738, 1737, 1736, 1735, 1734, 1733,
                    1731, 1730, 1729, 1728, 1727, 1726, 1725, 1724, 1723, 1722, 1721, 1720, 1719, 1718,
                    1717, 1716, 1715, 1714, 1713, 1712, 1711, 1710, 1709, 1708, 1707, 1706, 1705, 1704,
                    1703, 1702, 1701, 1700, 1699, 1698, 1697, 1696, 1695, 1694, 1693, 1692, 1691, 1690,
                    1689, 1688, 1687, 1686, 1685, 1684, 1683, 1682, 1681, 1680, 1679, 1678, 1677, 1676,
                    1675, 1674, 1673, 1672, 1671, 1670, 1669, 1668, 1667, 1666, 1665, 1664, 1663, 1662,
                    1661, 1660, 1659, 1658, 1657, 1656, 1655, 1654, 1653, 1652, 1651, 1650, 1649, 1648,
                    1647, 1646, 1645, 1644, 1643, 1642, 1641, 1640, 1639, 1638, 1637, 1636, 1635, 1634,
                    1633, 1632, 1631, 1630, 1629, 1628, 1627, 1626, 1625, 1624, 1623, 1622, 1621, 1620,
                    1619, 1618, 1617, 1616, 1615, 1614, 1613, 1612, 1611, 1610, 1609, 1608, 1607, 1606,
                    1605, 1604, 1603, 1602, 1601, 1600, 1599, 1598, 1597, 1596, 1595, 1594, 1593, 1592,
                    1591, 1590, 1589, 1588, 1587, 1586, 1585, 1584, 1583, 1582, 1581, 1580, 1579, 1578,
                    1577, 1576, 1575, 1574, 1573, 1572, 1571, 1570, 1569, 1568, 1567, 1566, 1565, 1564,
                    1563, 1562, 1561, 1560, 1559, 1558, 1557, 1556, 1555, 1554, 1553, 1552, 1551, 1550,
                    1549, 1548, 1547, 1546, 1545, 1544, 1543, 1542, 1541, 1540, 1539, 1538, 1537, 1536,
                    1535, 1534, 1533, 1532, 1531, 1530, 1529, 1528, 1527, 1526, 1525, 1524, 1523, 1522,
                    1521, 1520, 1519, 1518, 1517, 1516, 1515, 1514, 1513, 1512, 1511, 1510, 1509, 1508,
                    1507, 1506, 1505, 1504, 1503, 1502, 1501, 1500, 1499, 1498, 1497, 1496, 1495, 1494,
                    1493, 1492, 1491, 1490, 1489, 1488, 1487, 1486, 1485, 1484, 1483, 1482, 1481, 1480,
                    1479, 1478, 1477, 1476, 1475, 1474, 1473, 1472, 1471, 1470, 1469, 1468, 1467, 1466,
                    1465, 1464, 1463, 1462, 1461, 1460, 1459, 1458, 1457, 1456, 1455, 1454, 1453, 1452,
                    1451, 1449, 1448, 1447, 1446, 1445, 1444, 1443, 1442, 1441, 1440, 1439, 1438, 1437,
                    1436, 1435, 1434, 1433, 1432, 1431, 1430, 1429, 1428, 1427, 1426, 1425, 1424, 1423,
                    1422, 1421, 1420, 1419, 1418, 1417, 1416, 1415, 1414, 1413, 1412, 1411, 1410, 1409,
                    1408, 1407, 1406, 1405, 1404, 1403, 1402, 1401, 1400, 1399, 1398, 1397, 1396, 1395,
                    1394, 1393, 1392, 1391, 1390, 1389, 1388, 1387, 1386, 1385, 1384, 1383, 1382, 1381,
                    1380, 1379, 1378, 1377, 1376, 1375, 1374, 1372, 1371, 1370, 1369, 1368, 1367, 1366,
                    1365, 1364, 1363, 1362, 1361, 1360, 1359, 1358, 1357, 1356, 1355, 1354, 1353, 1352,
                    1351, 1350, 1349, 1348, 1347, 1346, 1345, 1344, 1343, 1342, 1341, 1340, 1339, 1338,
                    1337, 1336, 1335, 1334, 1333, 1332, 1330, 1329, 1328, 1327, 1326, 1325, 1324, 1323,
                    1322, 1321, 1320, 1319, 1318, 1317, 1316, 1315, 1314, 1313, 1312, 1311, 1310, 1309,
                    1308, 1307, 1306, 1305, 1304, 1303, 1302, 1301, 1299, 1298, 1297, 1296, 1295, 1294,
                    1293, 1292, 1291, 1290, 1289, 1288, 1287, 1286, 1285, 1284, 1283, 1282, 1281, 1280,
                    1279, 1278, 1277, 1276, 1274, 1273, 1272, 1271, 1270, 1269, 1268, 1267, 1266, 1265,
                    1264, 1263, 1262, 1261, 1260, 1259, 1258, 1257, 1256, 1255, 1253, 1252, 1251, 1250,
                    1249, 1248, 1247, 1246, 1245, 1244, 1243, 1242, 1241, 1240, 1239, 1238, 1237, 1236,
                    1234, 1233, 1232, 1231, 1230, 1229, 1228, 1227, 1226, 1225, 1224, 1223, 1222, 1221,
                    1220, 1219, 1217, 1216, 1215, 1214, 1213, 1212, 1211, 1210, 1209, 1208, 1207, 1206,
                    1205, 1204, 1203, 1201, 1200, 1199, 1198, 1197, 1196, 1195, 1194, 1193, 1192, 1191,
                    1190, 1189, 1187, 1186, 1185, 1184, 1183, 1182, 1181, 1180, 1179, 1178, 1177, 1176,
                    1175, 1173, 1172, 1171, 1170, 1169, 1168, 1167, 1166, 1165, 1164, 1163, 1161, 1160,
                    1159, 1158, 1157, 1156, 1155, 1154, 1153, 1152, 1151, 1149, 1148, 1147, 1146, 1145,
                    1144, 1143, 1142, 1141, 1140, 1138, 1137, 1136, 1135, 1134, 1133, 1132, 1131, 1130,
                    1129, 1127, 1126, 1125, 1124, 1123, 1122, 1121, 1120, 1119, 1117, 1116, 1115, 1114,
                    1113, 1112, 1111, 1110, 1109, 1107, 1106, 1105, 1104, 1103, 1102, 1101, 1100, 1098,
                    1097, 1096, 1095, 1094, 1093, 1092, 1091, 1089, 1088, 1087, 1086, 1085, 1084, 1083,
                    1082, 1080, 1079, 1078, 1077, 1076, 1075, 1074, 1072, 1071, 1070, 1069, 1068, 1067,
                    1066, 1064, 1063, 1062, 1061, 1060, 1059, 1058, 1056, 1055, 1054, 1053, 1052, 1051,
                    1050, 1048, 1047, 1046, 1045, 1044, 1043, 1041, 1040, 1039, 1038, 1037, 1036, 1034,
                    1033, 1032, 1031, 1030, 1029, 1027, 1026, 1025, 1024, 1023, 1022, 1020, 1019, 1018,
                    1017, 1016, 1015, 1013, 1012, 1011, 1010, 1009, 1007, 1006, 1005, 1004, 1003, 1002,
                    1000, 999, 998, 997, 996, 994, 993, 992, 991, 990, 988, 987, 986, 985, 984, 982,
                    981, 980, 979, 978, 976, 975, 974, 973, 972, 970, 969, 968, 967, 966, 964, 963,
                    962, 961, 959, 958, 957, 956, 955, 953, 952, 951, 950, 948, 947, 946, 945, 943,
                    942, 941, 940, 938, 937, 936, 935, 934, 932, 931, 930, 929, 927, 926, 925, 924,
                    922, 921, 920, 919, 917, 916, 915, 913, 912, 911, 910, 908, 907, 906, 905, 903,
                    902, 901, 900, 898, 897, 896, 894, 893, 892, 891, 889, 888, 887, 885, 884, 883,
                    881, 880, 879, 878, 876, 875, 874, 872, 871, 870, 868, 867, 866, 865, 863, 862,
                    861, 859, 858, 857, 855, 854, 853, 851, 850, 849, 847, 846, 845, 843, 842, 841,
                    839, 838, 837, 835, 834, 833, 831, 830, 828, 827, 826, 824, 823, 822, 820, 819,
                    818, 816, 815, 813, 812, 811, 809, 808, 807, 805, 804, 802, 801, 800, 798, 797,
                    795, 794, 793, 791, 790, 788, 787, 786, 784, 783, 781, 780, 778, 777, 776, 774,
                    773, 771, 770, 768, 767, 766, 764, 763, 761, 760, 758, 757, 755, 754, 752, 751,
                    750, 748, 747, 745, 744, 742, 741, 739, 738, 736, 735, 733, 732, 730, 729, 727,
                    726, 724, 723, 721, 720, 718, 717, 715, 714, 712, 711, 709, 707, 706, 704, 703,
                    701, 700, 698, 697, 695, 694, 692, 690, 689, 687, 686, 684, 682, 681, 679, 678,
                    676, 675, 673, 671, 670, 668, 666, 665, 663, 662, 660, 658, 657, 655, 653, 652,
                    650, 648, 647, 645, 644, 642, 640, 638, 637, 635, 633, 632, 630, 628, 627, 625,
                    623, 622, 620, 618, 616, 615, 613, 611, 609, 608, 606, 604, 602, 601, 599, 597,
                    595, 593, 592, 590, 588, 586, 584, 583, 581, 579, 577, 575, 574, 572, 570, 568,
                    566, 564, 562, 560, 559, 557, 555, 553, 551, 549, 547, 545, 543, 541, 539, 537,
                    536, 534, 532, 530, 528, 526, 524, 522, 520, 518, 516, 514, 512, 509, 507, 505,
                    503, 501, 499, 497, 495, 493, 491, 489, 486, 484, 482, 480, 478, 476, 473, 471,
                    469, 467, 465, 462, 460, 458, 456, 453, 451, 449, 446, 444, 442, 439, 437, 435,
                    432, 430, 428, 425, 423, 420, 418, 415, 413, 410, 408, 405, 403, 400, 398, 395,
                    392, 390, 387, 384, 382, 379, 376, 374, 371, 368, 365, 363, 360, 357, 354, 351,
                    348, 345, 342, 339, 336, 333, 330, 327, 324, 321, 318, 314, 311, 308, 304, 301,
                    298, 294, 291, 287, 284, 280, 277, 273, 269, 265, 262, 258, 254, 250, 246, 241,
                    237, 233, 229, 224, 220, 215, 210, 205, 200, 195, 190, 185, 179, 173, 168, 161,
                    155, 148, 142, 134, 127, 118, 110, 100, 89, 77, 63, 45, 0,
                ]
            },

            arctangent_thousandths: {
                [
                    -1326, -1326, -1326, -1326, -1326, -1326, -1325, -1325, -1325, -1325, -1325, -1325,
                    -1325, -1325, -1325, -1325, -1325, -1325, -1325, -1325, -1325, -1325, -1325, -1324,
                    -1324, -1324, -1324, -1324, -1324, -1324, -1324, -1324, -1324, -1324, -1324, -1324,
                    -1324, -1324, -1324, -1324, -1323, -1323, -1323, -1323, -1323, -1323, -1323, -1323,
                    -1323, -1323, -1323, -1323, -1323, -1323, -1323, -1323, -1322, -1322, -1322, -1322,
                    -1322, -1322, -1322, -1322, -1322, -1322, -1322, -1322, -1322, -1322, -1322, -1322,
                    -1322, -1321, -1321, -1321, -1321, -1321, -1321, -1321, -1321, -1321, -1321, -1321,
                    -1321, -1321, -1321, -1321, -1321, -1320, -1320, -1320, -1320, -1320, -1320, -1320,
                    -1320, -1320, -1320, -1320, -1320, -1320, -1320, -1320, -1320, -1319, -1319, -1319,
                    -1319, -1319, -1319, -1319, -1319, -1319, -1319, -1319, -1319, -1319, -1319, -1319,
                    -1319, -1318, -1318, -1318, -1318, -1318, -1318, -1318, -1318, -1318, -1318, -1318,
                    -1318, -1318, -1318, -1318, -1318, -1317, -1317, -1317, -1317, -1317, -1317, -1317,
                    -1317, -1317, -1317, -1317, -1317, -1317, -1317, -1317, -1317, -1316, -1316, -1316,
                    -1316, -1316, -1316, -1316, -1316, -1316, -1316, -1316, -1316, -1316, -1316, -1316,
                    -1316, -1315, -1315, -1315, -1315, -1315, -1315, -1315, -1315, -1315, -1315, -1315,
                    -1315, -1315, -1315, -1315, -1315, -1314, -1314, -1314, -1314, -1314, -1314, -1314,
                    -1314, -1314, -1314, -1314, -1314, -1314, -1314, -1314, -1313, -1313, -1313, -1313,
                    -1313, -1313, -1313, -1313, -1313, -1313, -1313, -1313, -1313, -1313, -1313, -1312,
                    -1312, -1312, -1312, -1312, -1312, -1312, -1312, -1312, -1312, -1312, -1312, -1312,
                    -1312, -1312, -1312, -1311, -1311, -1311, -1311, -1311, -1311, -1311, -1311, -1311,
                    -1311, -1311, -1311, -1311, -1311, -1311, -1310, -1310, -1310, -1310, -1310, -1310,
                    -1310, -1310, -1310, -1310, -1310, -1310, -1310, -1310, -1310, -1309, -1309, -1309,
                    -1309, -1309, -1309, -1309, -1309, -1309, -1309, -1309, -1309, -1309, -1309, -1309,
                    -1308, -1308, -1308, -1308, -1308, -1308, -1308, -1308, -1308, -1308, -1308, -1308,
                    -1308, -1308, -1308, -1307, -1307, -1307, -1307, -1307, -1307, -1307, -1307, -1307,
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                    -841, -841, -840, -840, -839, -839, -838, -838, -837, -837, -837, -836, -836, -835,
                    -835, -834, -834, -833, -833, -833, -832, -832, -831, -831, -830, -830, -829, -829,
                    -828, -828, -828, -827, -827, -826, -826, -825, -825, -824, -824, -823, -823, -822,
                    -822, -822, -821, -821, -820, -820, -819, -819, -818, -818, -817, -817, -816, -816,
                    -815, -815, -815, -814, -814, -813, -813, -812, -812, -811, -811, -810, -810, -809,
                    -809, -808, -808, -807, -807, -806, -806, -805, -805, -805, -804, -804, -803, -803,
                    -802, -802, -801, -801, -800, -800, -799, -799, -798, -798, -797, -797, -796, -796,
                    -795, -795, -794, -794, -793, -793, -792, -792, -791, -791, -790, -790, -789, -789,
                    -788, -788, -787, -787, -786, -786, -785, -785, -784, -784, -783, -783, -782, -782,
                    -781, -781, -780, -780, -779, -779, -778, -778, -777, -777, -776, -776, -775, -775,
                    -774, -774, -773, -773, -772, -772, -771, -771, -770, -770, -769, -769, -768, -768,
                    -767, -767, -766, -766, -765, -764, -764, -763, -763, -762, -762, -761, -761, -760,
                    -760, -759, -759, -758, -758, -757, -757, -756, -756, -755, -754, -754, -753, -753,
                    -752, -752, -751, -751, -750, -750, -749, -749, -748, -748, -747, -746, -746, -745,
                    -745, -744, -744, -743, -743, -742, -742, -741, -740, -740, -739, -739, -738, -738,
                    -737, -737, -736, -736, -735, -734, -734, -733, -733, -732, -732, -731, -731, -730,
                    -729, -729, -728, -728, -727, -727, -726, -726, -725, -724, -724, -723, -723, -722,
                    -722, -721, -721, -720, -719, -719, -718, -718, -717, -717, -716, -715, -715, -714,
                    -714, -713, -713, -712, -711, -711, -710, -710, -709, -709, -708, -707, -707, -706,
                    -706, -705, -704, -704, -703, -703, -702, -702, -701, -700, -700, -699, -699, -698,
                    -697, -697, -696, -696, -695, -695, -694, -693, -693, -692, -692, -691, -690, -690,
                    -689, -689, -688, -687, -687, -686, -686, -685, -684, -684, -683, -683, -682, -681,
                    -681, -680, -680, -679, -678, -678, -677, -677, -676, -675, -675, -674, -674, -673,
                    -672, -672, -671, -670, -670, -669, -669, -668, -667, -667, -666, -666, -665, -664,
                    -664, -663, -662, -662, -661, -661, -660, -659, -659, -658, -657, -657, -656, -656,
                    -655, -654, -654, -653, -652, -652, -651, -651, -650, -649, -649, -648, -647, -647,
                    -646, -645, -645, -644, -644, -643, -642, -642, -641, -640, -640, -639, -638, -638,
                    -637, -636, -636, -635, -634, -634, -633, -633, -632, -631, -631, -630, -629, -629,
                    -628, -627, -627, -626, -625, -625, -624, -623, -623, -622, -621, -621, -620, -619,
                    -619, -618, -617, -617, -616, -615, -615, -614, -613, -613, -612, -611, -611, -610,
                    -609, -609, -608, -607, -607, -606, -605, -605, -604, -603, -603, -602, -601, -601,
                    -600, -599, -599, -598, -597, -596, -596, -595, -594, -594, -593, -592, -592, -591,
                    -590, -590, -589, -588, -588, -587, -586, -585, -585, -584, -583, -583, -582, -581,
                    -581, -580, -579, -578, -578, -577, -576, -576, -575, -574, -574, -573, -572, -571,
                    -571, -570, -569, -569, -568, -567, -566, -566, -565, -564, -564, -563, -562, -561,
                    -561, -560, -559, -559, -558, -557, -556, -556, -555, -554, -554, -553, -552, -551,
                    -551, -550, -549, -548, -548, -547, -546, -546, -545, -544, -543, -543, -542, -541,
                    -540, -540, -539, -538, -537, -537, -536, -535, -535, -534, -533, -532, -532, -531,
                    -530, -529, -529, -528, -527, -526, -526, -525, -524, -523, -523, -522, -521, -520,
                    -520, -519, -518, -517, -517, -516, -515, -514, -514, -513, -512, -511, -510, -510,
                    -509, -508, -507, -507, -506, -505, -504, -504, -503, -502, -501, -501, -500, -499,
                    -498, -497, -497, -496, -495, -494, -494, -493, -492, -491, -490, -490, -489, -488,
                    -487, -487, -486, -485, -484, -483, -483, -482, -481, -480, -480, -479, -478, -477,
                    -476, -476, -475, -474, -473, -472, -472, -471, -470, -469, -468, -468, -467, -466,
                    -465, -464, -464, -463, -462, -461, -460, -460, -459, -458, -457, -456, -456, -455,
                    -454, -453, -452, -452, -451, -450, -449, -448, -448, -447, -446, -445, -444, -443,
                    -443, -442, -441, -440, -439, -439, -438, -437, -436, -435, -434, -434, -433, -432,
                    -431, -430, -429, -429, -428, -427, -426, -425, -425, -424, -423, -422, -421, -420,
                    -420, -419, -418, -417, -416, -415, -415, -414, -413, -412, -411, -410, -409, -409,
                    -408, -407, -406, -405, -404, -404, -403, -402, -401, -400, -399, -398, -398, -397,
                    -396, -395, -394, -393, -393, -392, -391, -390, -389, -388, -387, -387, -386, -385,
                    -384, -383, -382, -381, -381, -380, -379, -378, -377, -376, -375, -374, -374, -373,
                    -372, -371, -370, -369, -368, -368, -367, -366, -365, -364, -363, -362, -361, -361,
                    -360, -359, -358, -357, -356, -355, -354, -354, -353, -352, -351, -350, -349, -348,
                    -347, -346, -346, -345, -344, -343, -342, -341, -340, -339, -338, -338, -337, -336,
                    -335, -334, -333, -332, -331, -330, -330, -329, -328, -327, -326, -325, -324, -323,
                    -322, -321, -321, -320, -319, -318, -317, -316, -315, -314, -313, -312, -312, -311,
                    -310, -309, -308, -307, -306, -305, -304, -303, -302, -302, -301, -300, -299, -298,
                    -297, -296, -295, -294, -293, -292, -291, -291, -290, -289, -288, -287, -286, -285,
                    -284, -283, -282, -281, -280, -279, -279, -278, -277, -276, -275, -274, -273, -272,
                    -271, -270, -269, -268, -267, -267, -266, -265, -264, -263, -262, -261, -260, -259,
                    -258, -257, -256, -255, -254, -253, -252, -252, -251, -250, -249, -248, -247, -246,
                    -245, -244, -243, -242, -241, -240, -239, -238, -237, -236, -236, -235, -234, -233,
                    -232, -231, -230, -229, -228, -227, -226, -225, -224, -223, -222, -221, -220, -219,
                    -218, -218, -217, -216, -215, -214, -213, -212, -211, -210, -209, -208, -207, -206,
                    -205, -204, -203, -202, -201, -200, -199, -198, -197, -196, -195, -195, -194, -193,
                    -192, -191, -190, -189, -188, -187, -186, -185, -184, -183, -182, -181, -180, -179,
                    -178, -177, -176, -175, -174, -173, -172, -171, -170, -169, -168, -167, -166, -165,
                    -164, -164, -163, -162, -161, -160, -159, -158, -157, -156, -155, -154, -153, -152,
                    -151, -150, -149, -148, -147, -146, -145, -144, -143, -142, -141, -140, -139, -138,
                    -137, -136, -135, -134, -133, -132, -131, -130, -129, -128, -127, -126, -125, -124,
                    -123, -122, -121, -120, -119, -118, -117, -116, -115, -114, -114, -113, -112, -111,
                    -110, -109, -108, -107, -106, -105, -104, -103, -102, -101, -100, -99, -98, -97,
                    -96, -95, -94, -93, -92, -91, -90, -89, -88, -87, -86, -85, -84, -83, -82, -81,
                    -80, -79, -78, -77, -76, -75, -74, -73, -72, -71, -70, -69, -68, -67, -66, -65,
                    -64, -63, -62, -61, -60, -59, -58, -57, -56, -55, -54, -53, -52, -51, -50, -49,
                    -48, -47, -46, -45, -44, -43, -42, -41, -40, -39, -38, -37, -36, -35, -34, -33,
                    -32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17,
                    -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3,
                    4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,
                    26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45,
                    46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65,
                    66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85,
                    86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103,
                    104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 114, 115, 116, 117, 118,
                    119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134,
                    135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150,
                    151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 164, 165,
                    166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181,
                    182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 195, 196,
                    197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212,
                    213, 214, 215, 216, 217, 218, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227,
                    228, 229, 230, 231, 232, 233, 234, 235, 236, 236, 237, 238, 239, 240, 241, 242,
                    243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 252, 253, 254, 255, 256, 257,
                    258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 267, 268, 269, 270, 271, 272,
                    273, 274, 275, 276, 277, 278, 279, 279, 280, 281, 282, 283, 284, 285, 286, 287,
                    288, 289, 290, 291, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302,
                    302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 312, 313, 314, 315, 316,
                    317, 318, 319, 320, 321, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 330,
                    331, 332, 333, 334, 335, 336, 337, 338, 338, 339, 340, 341, 342, 343, 344, 345,
                    346, 346, 347, 348, 349, 350, 351, 352, 353, 354, 354, 355, 356, 357, 358, 359,
                    360, 361, 361, 362, 363, 364, 365, 366, 367, 368, 368, 369, 370, 371, 372, 373,
                    374, 374, 375, 376, 377, 378, 379, 380, 381, 381, 382, 383, 384, 385, 386, 387,
                    387, 388, 389, 390, 391, 392, 393, 393, 394, 395, 396, 397, 398, 398, 399, 400,
                    401, 402, 403, 404, 404, 405, 406, 407, 408, 409, 409, 410, 411, 412, 413, 414,
                    415, 415, 416, 417, 418, 419, 420, 420, 421, 422, 423, 424, 425, 425, 426, 427,
                    428, 429, 429, 430, 431, 432, 433, 434, 434, 435, 436, 437, 438, 439, 439, 440,
                    441, 442, 443, 443, 444, 445, 446, 447, 448, 448, 449, 450, 451, 452, 452, 453,
                    454, 455, 456, 456, 457, 458, 459, 460, 460, 461, 462, 463, 464, 464, 465, 466,
                    467, 468, 468, 469, 470, 471, 472, 472, 473, 474, 475, 476, 476, 477, 478, 479,
                    480, 480, 481, 482, 483, 483, 484, 485, 486, 487, 487, 488, 489, 490, 490, 491,
                    492, 493, 494, 494, 495, 496, 497, 497, 498, 499, 500, 501, 501, 502, 503, 504,
                    504, 505, 506, 507, 507, 508, 509, 510, 510, 511, 512, 513, 514, 514, 515, 516,
                    517, 517, 518, 519, 520, 520, 521, 522, 523, 523, 524, 525, 526, 526, 527, 528,
                    529, 529, 530, 531, 532, 532, 533, 534, 535, 535, 536, 537, 537, 538, 539, 540,
                    540, 541, 542, 543, 543, 544, 545, 546, 546, 547, 548, 548, 549, 550, 551, 551,
                    552, 553, 554, 554, 555, 556, 556, 557, 558, 559, 559, 560, 561, 561, 562, 563,
                    564, 564, 565, 566, 566, 567, 568, 569, 569, 570, 571, 571, 572, 573, 574, 574,
                    575, 576, 576, 577, 578, 578, 579, 580, 581, 581, 582, 583, 583, 584, 585, 585,
                    586, 587, 588, 588, 589, 590, 590, 591, 592, 592, 593, 594, 594, 595, 596, 596,
                    597, 598, 599, 599, 600, 601, 601, 602, 603, 603, 604, 605, 605, 606, 607, 607,
                    608, 609, 609, 610, 611, 611, 612, 613, 613, 614, 615, 615, 616, 617, 617, 618,
                    619, 619, 620, 621, 621, 622, 623, 623, 624, 625, 625, 626, 627, 627, 628, 629,
                    629, 630, 631, 631, 632, 633, 633, 634, 634, 635, 636, 636, 637, 638, 638, 639,
                    640, 640, 641, 642, 642, 643, 644, 644, 645, 645, 646, 647, 647, 648, 649, 649,
                    650, 651, 651, 652, 652, 653, 654, 654, 655, 656, 656, 657, 657, 658, 659, 659,
                    660, 661, 661, 662, 662, 663, 664, 664, 665, 666, 666, 667, 667, 668, 669, 669,
                    670, 670, 671, 672, 672, 673, 674, 674, 675, 675, 676, 677, 677, 678, 678, 679,
                    680, 680, 681, 681, 682, 683, 683, 684, 684, 685, 686, 686, 687, 687, 688, 689,
                    689, 690, 690, 691, 692, 692, 693, 693, 694, 695, 695, 696, 696, 697, 697, 698,
                    699, 699, 700, 700, 701, 702, 702, 703, 703, 704, 704, 705, 706, 706, 707, 707,
                    708, 709, 709, 710, 710, 711, 711, 712, 713, 713, 714, 714, 715, 715, 716, 717,
                    717, 718, 718, 719, 719, 720, 721, 721, 722, 722, 723, 723, 724, 724, 725, 726,
                    726, 727, 727, 728, 728, 729, 729, 730, 731, 731, 732, 732, 733, 733, 734, 734,
                    735, 736, 736, 737, 737, 738, 738, 739, 739, 740, 740, 741, 742, 742, 743, 743,
                    744, 744, 745, 745, 746, 746, 747, 748, 748, 749, 749, 750, 750, 751, 751, 752,
                    752, 753, 753, 754, 754, 755, 756, 756, 757, 757, 758, 758, 759, 759, 760, 760,
                    761, 761, 762, 762, 763, 763, 764, 764, 765, 766, 766, 767, 767, 768, 768, 769,
                    769, 770, 770, 771, 771, 772, 772, 773, 773, 774, 774, 775, 775, 776, 776, 777,
                    777, 778, 778, 779, 779, 780, 780, 781, 781, 782, 782, 783, 783, 784, 784, 785,
                    785, 786, 786, 787, 787, 788, 788, 789, 789, 790, 790, 791, 791, 792, 792, 793,
                    793, 794, 794, 795, 795, 796, 796, 797, 797, 798, 798, 799, 799, 800, 800, 801,
                    801, 802, 802, 803, 803, 804, 804, 805, 805, 805, 806, 806, 807, 807, 808, 808,
                    809, 809, 810, 810, 811, 811, 812, 812, 813, 813, 814, 814, 815, 815, 815, 816,
                    816, 817, 817, 818, 818, 819, 819, 820, 820, 821, 821, 822, 822, 822, 823, 823,
                    824, 824, 825, 825, 826, 826, 827, 827, 828, 828, 828, 829, 829, 830, 830, 831,
                    831, 832, 832, 833, 833, 833, 834, 834, 835, 835, 836, 836, 837, 837, 837, 838,
                    838, 839, 839, 840, 840, 841, 841, 841, 842, 842, 843, 843, 844, 844, 845, 845,
                    845, 846, 846, 847, 847, 848, 848, 849, 849, 849, 850, 850, 851, 851, 852, 852,
                    852, 853, 853, 854, 854, 855, 855, 855, 856, 856, 857, 857, 858, 858, 858, 859,
                    859, 860, 860, 861, 861, 861, 862, 862, 863, 863, 864, 864, 864, 865, 865, 866,
                    866, 867, 867, 867, 868, 868, 869, 869, 869, 870, 870, 871, 871, 872, 872, 872,
                    873, 873, 874, 874, 874, 875, 875, 876, 876, 876, 877, 877, 878, 878, 879, 879,
                    879, 880, 880, 881, 881, 881, 882, 882, 883, 883, 883, 884, 884, 885, 885, 885,
                    886, 886, 887, 887, 887, 888, 888, 889, 889, 889, 890, 890, 891, 891, 891, 892,
                    892, 893, 893, 893, 894, 894, 894, 895, 895, 896, 896, 896, 897, 897, 898, 898,
                    898, 899, 899, 900, 900, 900, 901, 901, 901, 902, 902, 903, 903, 903, 904, 904,
                    905, 905, 905, 906, 906, 906, 907, 907, 908, 908, 908, 909, 909, 909, 910, 910,
                    911, 911, 911, 912, 912, 912, 913, 913, 914, 914, 914, 915, 915, 915, 916, 916,
                    917, 917, 917, 918, 918, 918, 919, 919, 920, 920, 920, 921, 921, 921, 922, 922,
                    922, 923, 923, 924, 924, 924, 925, 925, 925, 926, 926, 926, 927, 927, 928, 928,
                    928, 929, 929, 929, 930, 930, 930, 931, 931, 931, 932, 932, 933, 933, 933, 934,
                    934, 934, 935, 935, 935, 936, 936, 936, 937, 937, 937, 938, 938, 939, 939, 939,
                    940, 940, 940, 941, 941, 941, 942, 942, 942, 943, 943, 943, 944, 944, 944, 945,
                    945, 945, 946, 946, 946, 947, 947, 947, 948, 948, 949, 949, 949, 950, 950, 950,
                    951, 951, 951, 952, 952, 952, 953, 953, 953, 954, 954, 954, 955, 955, 955, 956,
                    956, 956, 957, 957, 957, 958, 958, 958, 959, 959, 959, 960, 960, 960, 961, 961,
                    961, 962, 962, 962, 963, 963, 963, 963, 964, 964, 964, 965, 965, 965, 966, 966,
                    966, 967, 967, 967, 968, 968, 968, 969, 969, 969, 970, 970, 970, 971, 971, 971,
                    972, 972, 972, 972, 973, 973, 973, 974, 974, 974, 975, 975, 975, 976, 976, 976,
                    977, 977, 977, 978, 978, 978, 978, 979, 979, 979, 980, 980, 980, 981, 981, 981,
                    982, 982, 982, 982, 983, 983, 983, 984, 984, 984, 985, 985, 985, 986, 986, 986,
                    986, 987, 987, 987, 988, 988, 988, 989, 989, 989, 989, 990, 990, 990, 991, 991,
                    991, 992, 992, 992, 992, 993, 993, 993, 994, 994, 994, 995, 995, 995, 995, 996,
                    996, 996, 997, 997, 997, 998, 998, 998, 998, 999, 999, 999, 1000, 1000, 1000, 1000,
                    1001, 1001, 1001, 1002, 1002, 1002, 1002, 1003, 1003, 1003, 1004, 1004, 1004, 1005,
                    1005, 1005, 1005, 1006, 1006, 1006, 1007, 1007, 1007, 1007, 1008, 1008, 1008, 1009,
                    1009, 1009, 1009, 1010, 1010, 1010, 1011, 1011, 1011, 1011, 1012, 1012, 1012, 1012,
                    1013, 1013, 1013, 1014, 1014, 1014, 1014, 1015, 1015, 1015, 1016, 1016, 1016, 1016,
                    1017, 1017, 1017, 1017, 1018, 1018, 1018, 1019, 1019, 1019, 1019, 1020, 1020, 1020,
                    1021, 1021, 1021, 1021, 1022, 1022, 1022, 1022, 1023, 1023, 1023, 1024, 1024, 1024,
                    1024, 1025, 1025, 1025, 1025, 1026, 1026, 1026, 1026, 1027, 1027, 1027, 1028, 1028,
                    1028, 1028, 1029, 1029, 1029, 1029, 1030, 1030, 1030, 1030, 1031, 1031, 1031, 1032,
                    1032, 1032, 1032, 1033, 1033, 1033, 1033, 1034, 1034, 1034, 1034, 1035, 1035, 1035,
                    1035, 1036, 1036, 1036, 1036, 1037, 1037, 1037, 1038, 1038, 1038, 1038, 1039, 1039,
                    1039, 1039, 1040, 1040, 1040, 1040, 1041, 1041, 1041, 1041, 1042, 1042, 1042, 1042,
                    1043, 1043, 1043, 1043, 1044, 1044, 1044, 1044, 1045, 1045, 1045, 1045, 1046, 1046,
                    1046, 1046, 1047, 1047, 1047, 1047, 1048, 1048, 1048, 1048, 1049, 1049, 1049, 1049,
                    1050, 1050, 1050, 1050, 1051, 1051, 1051, 1051, 1052, 1052, 1052, 1052, 1053, 1053,
                    1053, 1053, 1054, 1054, 1054, 1054, 1055, 1055, 1055, 1055, 1056, 1056, 1056, 1056,
                    1057, 1057, 1057, 1057, 1057, 1058, 1058, 1058, 1058, 1059, 1059, 1059, 1059, 1060,
                    1060, 1060, 1060, 1061, 1061, 1061, 1061, 1062, 1062, 1062, 1062, 1063, 1063, 1063,
                    1063, 1063, 1064, 1064, 1064, 1064, 1065, 1065, 1065, 1065, 1066, 1066, 1066, 1066,
                    1067, 1067, 1067, 1067, 1067, 1068, 1068, 1068, 1068, 1069, 1069, 1069, 1069, 1070,
                    1070, 1070, 1070, 1070, 1071, 1071, 1071, 1071, 1072, 1072, 1072, 1072, 1073, 1073,
                    1073, 1073, 1073, 1074, 1074, 1074, 1074, 1075, 1075, 1075, 1075, 1075, 1076, 1076,
                    1076, 1076, 1077, 1077, 1077, 1077, 1077, 1078, 1078, 1078, 1078, 1079, 1079, 1079,
                    1079, 1080, 1080, 1080, 1080, 1080, 1081, 1081, 1081, 1081, 1082, 1082, 1082, 1082,
                    1082, 1083, 1083, 1083, 1083, 1083, 1084, 1084, 1084, 1084, 1085, 1085, 1085, 1085,
                    1085, 1086, 1086, 1086, 1086, 1087, 1087, 1087, 1087, 1087, 1088, 1088, 1088, 1088,
                    1088, 1089, 1089, 1089, 1089, 1090, 1090, 1090, 1090, 1090, 1091, 1091, 1091, 1091,
                    1091, 1092, 1092, 1092, 1092, 1093, 1093, 1093, 1093, 1093, 1094, 1094, 1094, 1094,
                    1094, 1095, 1095, 1095, 1095, 1095, 1096, 1096, 1096, 1096, 1097, 1097, 1097, 1097,
                    1097, 1098, 1098, 1098, 1098, 1098, 1099, 1099, 1099, 1099, 1099, 1100, 1100, 1100,
                    1100, 1100, 1101, 1101, 1101, 1101, 1101, 1102, 1102, 1102, 1102, 1103, 1103, 1103,
                    1103, 1103, 1104, 1104, 1104, 1104, 1104, 1105, 1105, 1105, 1105, 1105, 1106, 1106,
                    1106, 1106, 1106, 1107, 1107, 1107, 1107, 1107, 1108, 1108, 1108, 1108, 1108, 1109,
                    1109, 1109, 1109, 1109, 1110, 1110, 1110, 1110, 1110, 1111, 1111, 1111, 1111, 1111,
                    1112, 1112, 1112, 1112, 1112, 1112, 1113, 1113, 1113, 1113, 1113, 1114, 1114, 1114,
                    1114, 1114, 1115, 1115, 1115, 1115, 1115, 1116, 1116, 1116, 1116, 1116, 1117, 1117,
                    1117, 1117, 1117, 1118, 1118, 1118, 1118, 1118, 1118, 1119, 1119, 1119, 1119, 1119,
                    1120, 1120, 1120, 1120, 1120, 1121, 1121, 1121, 1121, 1121, 1122, 1122, 1122, 1122,
                    1122, 1122, 1123, 1123, 1123, 1123, 1123, 1124, 1124, 1124, 1124, 1124, 1125, 1125,
                    1125, 1125, 1125, 1125, 1126, 1126, 1126, 1126, 1126, 1127, 1127, 1127, 1127, 1127,
                    1127, 1128, 1128, 1128, 1128, 1128, 1129, 1129, 1129, 1129, 1129, 1129, 1130, 1130,
                    1130, 1130, 1130, 1131, 1131, 1131, 1131, 1131, 1131, 1132, 1132, 1132, 1132, 1132,
                    1133, 1133, 1133, 1133, 1133, 1133, 1134, 1134, 1134, 1134, 1134, 1135, 1135, 1135,
                    1135, 1135, 1135, 1136, 1136, 1136, 1136, 1136, 1137, 1137, 1137, 1137, 1137, 1137,
                    1138, 1138, 1138, 1138, 1138, 1138, 1139, 1139, 1139, 1139, 1139, 1139, 1140, 1140,
                    1140, 1140, 1140, 1141, 1141, 1141, 1141, 1141, 1141, 1142, 1142, 1142, 1142, 1142,
                    1142, 1143, 1143, 1143, 1143, 1143, 1143, 1144, 1144, 1144, 1144, 1144, 1145, 1145,
                    1145, 1145, 1145, 1145, 1146, 1146, 1146, 1146, 1146, 1146, 1147, 1147, 1147, 1147,
                    1147, 1147, 1148, 1148, 1148, 1148, 1148, 1148, 1149, 1149, 1149, 1149, 1149, 1149,
                    1150, 1150, 1150, 1150, 1150, 1150, 1151, 1151, 1151, 1151, 1151, 1151, 1152, 1152,
                    1152, 1152, 1152, 1152, 1153, 1153, 1153, 1153, 1153, 1153, 1154, 1154, 1154, 1154,
                    1154, 1154, 1155, 1155, 1155, 1155, 1155, 1155, 1156, 1156, 1156, 1156, 1156, 1156,
                    1156, 1157, 1157, 1157, 1157, 1157, 1157, 1158, 1158, 1158, 1158, 1158, 1158, 1159,
                    1159, 1159, 1159, 1159, 1159, 1160, 1160, 1160, 1160, 1160, 1160, 1161, 1161, 1161,
                    1161, 1161, 1161, 1161, 1162, 1162, 1162, 1162, 1162, 1162, 1163, 1163, 1163, 1163,
                    1163, 1163, 1164, 1164, 1164, 1164, 1164, 1164, 1164, 1165, 1165, 1165, 1165, 1165,
                    1165, 1166, 1166, 1166, 1166, 1166, 1166, 1166, 1167, 1167, 1167, 1167, 1167, 1167,
                    1168, 1168, 1168, 1168, 1168, 1168, 1168, 1169, 1169, 1169, 1169, 1169, 1169, 1170,
                    1170, 1170, 1170, 1170, 1170, 1170, 1171, 1171, 1171, 1171, 1171, 1171, 1172, 1172,
                    1172, 1172, 1172, 1172, 1172, 1173, 1173, 1173, 1173, 1173, 1173, 1173, 1174, 1174,
                    1174, 1174, 1174, 1174, 1175, 1175, 1175, 1175, 1175, 1175, 1175, 1176, 1176, 1176,
                    1176, 1176, 1176, 1176, 1177, 1177, 1177, 1177, 1177, 1177, 1177, 1178, 1178, 1178,
                    1178, 1178, 1178, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1180, 1180, 1180, 1180,
                    1180, 1180, 1180, 1181, 1181, 1181, 1181, 1181, 1181, 1181, 1182, 1182, 1182, 1182,
                    1182, 1182, 1182, 1183, 1183, 1183, 1183, 1183, 1183, 1183, 1184, 1184, 1184, 1184,
                    1184, 1184, 1184, 1185, 1185, 1185, 1185, 1185, 1185, 1185, 1186, 1186, 1186, 1186,
                    1186, 1186, 1186, 1187, 1187, 1187, 1187, 1187, 1187, 1187, 1188, 1188, 1188, 1188,
                    1188, 1188, 1188, 1188, 1189, 1189, 1189, 1189, 1189, 1189, 1189, 1190, 1190, 1190,
                    1190, 1190, 1190, 1190, 1191, 1191, 1191, 1191, 1191, 1191, 1191, 1192, 1192, 1192,
                    1192, 1192, 1192, 1192, 1192, 1193, 1193, 1193, 1193, 1193, 1193, 1193, 1194, 1194,
                    1194, 1194, 1194, 1194, 1194, 1195, 1195, 1195, 1195, 1195, 1195, 1195, 1195, 1196,
                    1196, 1196, 1196, 1196, 1196, 1196, 1197, 1197, 1197, 1197, 1197, 1197, 1197, 1197,
                    1198, 1198, 1198, 1198, 1198, 1198, 1198, 1199, 1199, 1199, 1199, 1199, 1199, 1199,
                    1199, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1201, 1201, 1201, 1201, 1201, 1201,
                    1201, 1201, 1202, 1202, 1202, 1202, 1202, 1202, 1202, 1202, 1203, 1203, 1203, 1203,
                    1203, 1203, 1203, 1203, 1204, 1204, 1204, 1204, 1204, 1204, 1204, 1205, 1205, 1205,
                    1205, 1205, 1205, 1205, 1205, 1206, 1206, 1206, 1206, 1206, 1206, 1206, 1206, 1207,
                    1207, 1207, 1207, 1207, 1207, 1207, 1207, 1208, 1208, 1208, 1208, 1208, 1208, 1208,
                    1208, 1209, 1209, 1209, 1209, 1209, 1209, 1209, 1209, 1210, 1210, 1210, 1210, 1210,
                    1210, 1210, 1210, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1212, 1212, 1212,
                    1212, 1212, 1212, 1212, 1212, 1213, 1213, 1213, 1213, 1213, 1213, 1213, 1213, 1214,
                    1214, 1214, 1214, 1214, 1214, 1214, 1214, 1215, 1215, 1215, 1215, 1215, 1215, 1215,
                    1215, 1215, 1216, 1216, 1216, 1216, 1216, 1216, 1216, 1216, 1217, 1217, 1217, 1217,
                    1217, 1217, 1217, 1217, 1218, 1218, 1218, 1218, 1218, 1218, 1218, 1218, 1218, 1219,
                    1219, 1219, 1219, 1219, 1219, 1219, 1219, 1220, 1220, 1220, 1220, 1220, 1220, 1220,
                    1220, 1221, 1221, 1221, 1221, 1221, 1221, 1221, 1221, 1221, 1222, 1222, 1222, 1222,
                    1222, 1222, 1222, 1222, 1222, 1223, 1223, 1223, 1223, 1223, 1223, 1223, 1223, 1224,
                    1224, 1224, 1224, 1224, 1224, 1224, 1224, 1224, 1225, 1225, 1225, 1225, 1225, 1225,
                    1225, 1225, 1225, 1226, 1226, 1226, 1226, 1226, 1226, 1226, 1226, 1227, 1227, 1227,
                    1227, 1227, 1227, 1227, 1227, 1227, 1228, 1228, 1228, 1228, 1228, 1228, 1228, 1228,
                    1228, 1229, 1229, 1229, 1229, 1229, 1229, 1229, 1229, 1229, 1230, 1230, 1230, 1230,
                    1230, 1230, 1230, 1230, 1230, 1231, 1231, 1231, 1231, 1231, 1231, 1231, 1231, 1231,
                    1232, 1232, 1232, 1232, 1232, 1232, 1232, 1232, 1232, 1233, 1233, 1233, 1233, 1233,
                    1233, 1233, 1233, 1233, 1234, 1234, 1234, 1234, 1234, 1234, 1234, 1234, 1234, 1235,
                    1235, 1235, 1235, 1235, 1235, 1235, 1235, 1235, 1236, 1236, 1236, 1236, 1236, 1236,
                    1236, 1236, 1236, 1236, 1237, 1237, 1237, 1237, 1237, 1237, 1237, 1237, 1237, 1238,
                    1238, 1238, 1238, 1238, 1238, 1238, 1238, 1238, 1239, 1239, 1239, 1239, 1239, 1239,
                    1239, 1239, 1239, 1239, 1240, 1240, 1240, 1240, 1240, 1240, 1240, 1240, 1240, 1241,
                    1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1242, 1242, 1242, 1242, 1242,
                    1242, 1242, 1242, 1242, 1243, 1243, 1243, 1243, 1243, 1243, 1243, 1243, 1243, 1243,
                    1244, 1244, 1244, 1244, 1244, 1244, 1244, 1244, 1244, 1244, 1245, 1245, 1245, 1245,
                    1245, 1245, 1245, 1245, 1245, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246,
                    1246, 1247, 1247, 1247, 1247, 1247, 1247, 1247, 1247, 1247, 1247, 1248, 1248, 1248,
                    1248, 1248, 1248, 1248, 1248, 1248, 1248, 1249, 1249, 1249, 1249, 1249, 1249, 1249,
                    1249, 1249, 1249, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1251,
                    1251, 1251, 1251, 1251, 1251, 1251, 1251, 1251, 1251, 1252, 1252, 1252, 1252, 1252,
                    1252, 1252, 1252, 1252, 1252, 1253, 1253, 1253, 1253, 1253, 1253, 1253, 1253, 1253,
                    1253, 1253, 1254, 1254, 1254, 1254, 1254, 1254, 1254, 1254, 1254, 1254, 1255, 1255,
                    1255, 1255, 1255, 1255, 1255, 1255, 1255, 1255, 1256, 1256, 1256, 1256, 1256, 1256,
                    1256, 1256, 1256, 1256, 1256, 1257, 1257, 1257, 1257, 1257, 1257, 1257, 1257, 1257,
                    1257, 1258, 1258, 1258, 1258, 1258, 1258, 1258, 1258, 1258, 1258, 1258, 1259, 1259,
                    1259, 1259, 1259, 1259, 1259, 1259, 1259, 1259, 1260, 1260, 1260, 1260, 1260, 1260,
                    1260, 1260, 1260, 1260, 1260, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1261,
                    1261, 1261, 1262, 1262, 1262, 1262, 1262, 1262, 1262, 1262, 1262, 1262, 1262, 1263,
                    1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1264, 1264, 1264, 1264,
                    1264, 1264, 1264, 1264, 1264, 1264, 1264, 1265, 1265, 1265, 1265, 1265, 1265, 1265,
                    1265, 1265, 1265, 1265, 1266, 1266, 1266, 1266, 1266, 1266, 1266, 1266, 1266, 1266,
                    1266, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1268, 1268,
                    1268, 1268, 1268, 1268, 1268, 1268, 1268, 1268, 1268, 1269, 1269, 1269, 1269, 1269,
                    1269, 1269, 1269, 1269, 1269, 1269, 1270, 1270, 1270, 1270, 1270, 1270, 1270, 1270,
                    1270, 1270, 1270, 1270, 1271, 1271, 1271, 1271, 1271, 1271, 1271, 1271, 1271, 1271,
                    1271, 1272, 1272, 1272, 1272, 1272, 1272, 1272, 1272, 1272, 1272, 1272, 1272, 1273,
                    1273, 1273, 1273, 1273, 1273, 1273, 1273, 1273, 1273, 1273, 1274, 1274, 1274, 1274,
                    1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1275, 1275, 1275, 1275, 1275, 1275,
                    1275, 1275, 1275, 1275, 1275, 1275, 1276, 1276, 1276, 1276, 1276, 1276, 1276, 1276,
                    1276, 1276, 1276, 1276, 1277, 1277, 1277, 1277, 1277, 1277, 1277, 1277, 1277, 1277,
                    1277, 1277, 1278, 1278, 1278, 1278, 1278, 1278, 1278, 1278, 1278, 1278, 1278, 1278,
                    1279, 1279, 1279, 1279, 1279, 1279, 1279, 1279, 1279, 1279, 1279, 1279, 1280, 1280,
                    1280, 1280, 1280, 1280, 1280, 1280, 1280, 1280, 1280, 1280, 1281, 1281, 1281, 1281,
                    1281, 1281, 1281, 1281, 1281, 1281, 1281, 1281, 1282, 1282, 1282, 1282, 1282, 1282,
                    1282, 1282, 1282, 1282, 1282, 1282, 1282, 1283, 1283, 1283, 1283, 1283, 1283, 1283,
                    1283, 1283, 1283, 1283, 1283, 1284, 1284, 1284, 1284, 1284, 1284, 1284, 1284, 1284,
                    1284, 1284, 1284, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285,
                    1285, 1285, 1286, 1286, 1286, 1286, 1286, 1286, 1286, 1286, 1286, 1286, 1286, 1286,
                    1286, 1287, 1287, 1287, 1287, 1287, 1287, 1287, 1287, 1287, 1287, 1287, 1287, 1288,
                    1288, 1288, 1288, 1288, 1288, 1288, 1288, 1288, 1288, 1288, 1288, 1288, 1289, 1289,
                    1289, 1289, 1289, 1289, 1289, 1289, 1289, 1289, 1289, 1289, 1289, 1290, 1290, 1290,
                    1290, 1290, 1290, 1290, 1290, 1290, 1290, 1290, 1290, 1290, 1291, 1291, 1291, 1291,
                    1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1292, 1292, 1292, 1292, 1292,
                    1292, 1292, 1292, 1292, 1292, 1292, 1292, 1292, 1292, 1293, 1293, 1293, 1293, 1293,
                    1293, 1293, 1293, 1293, 1293, 1293, 1293, 1293, 1294, 1294, 1294, 1294, 1294, 1294,
                    1294, 1294, 1294, 1294, 1294, 1294, 1294, 1295, 1295, 1295, 1295, 1295, 1295, 1295,
                    1295, 1295, 1295, 1295, 1295, 1295, 1295, 1296, 1296, 1296, 1296, 1296, 1296, 1296,
                    1296, 1296, 1296, 1296, 1296, 1296, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297,
                    1297, 1297, 1297, 1297, 1297, 1297, 1298, 1298, 1298, 1298, 1298, 1298, 1298, 1298,
                    1298, 1298, 1298, 1298, 1298, 1298, 1299, 1299, 1299, 1299, 1299, 1299, 1299, 1299,
                    1299, 1299, 1299, 1299, 1299, 1299, 1300, 1300, 1300, 1300, 1300, 1300, 1300, 1300,
                    1300, 1300, 1300, 1300, 1300, 1300, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301,
                    1301, 1301, 1301, 1301, 1301, 1301, 1302, 1302, 1302, 1302, 1302, 1302, 1302, 1302,
                    1302, 1302, 1302, 1302, 1302, 1302, 1303, 1303, 1303, 1303, 1303, 1303, 1303, 1303,
                    1303, 1303, 1303, 1303, 1303, 1303, 1304, 1304, 1304, 1304, 1304, 1304, 1304, 1304,
                    1304, 1304, 1304, 1304, 1304, 1304, 1304, 1305, 1305, 1305, 1305, 1305, 1305, 1305,
                    1305, 1305, 1305, 1305, 1305, 1305, 1305, 1306, 1306, 1306, 1306, 1306, 1306, 1306,
                    1306, 1306, 1306, 1306, 1306, 1306, 1306, 1306, 1307, 1307, 1307, 1307, 1307, 1307,
                    1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1308, 1308, 1308, 1308, 1308, 1308,
                    1308, 1308, 1308, 1308, 1308, 1308, 1308, 1308, 1308, 1309, 1309, 1309, 1309, 1309,
                    1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1310, 1310, 1310, 1310,
                    1310, 1310, 1310, 1310, 1310, 1310, 1310, 1310, 1310, 1310, 1310, 1311, 1311, 1311,
                    1311, 1311, 1311, 1311, 1311, 1311, 1311, 1311, 1311, 1311, 1311, 1311, 1312, 1312,
                    1312, 1312, 1312, 1312, 1312, 1312, 1312, 1312, 1312, 1312, 1312, 1312, 1312, 1312,
                    1313, 1313, 1313, 1313, 1313, 1313, 1313, 1313, 1313, 1313, 1313, 1313, 1313, 1313,
                    1313, 1314, 1314, 1314, 1314, 1314, 1314, 1314, 1314, 1314, 1314, 1314, 1314, 1314,
                    1314, 1314, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315,
                    1315, 1315, 1315, 1315, 1316, 1316, 1316, 1316, 1316, 1316, 1316, 1316, 1316, 1316,
                    1316, 1316, 1316, 1316, 1316, 1316, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317,
                    1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1318, 1318, 1318, 1318, 1318, 1318,
                    1318, 1318, 1318, 1318, 1318, 1318, 1318, 1318, 1318, 1318, 1319, 1319, 1319, 1319,
                    1319, 1319, 1319, 1319, 1319, 1319, 1319, 1319, 1319, 1319, 1319, 1319, 1320, 1320,
                    1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320,
                    1321, 1321, 1321, 1321, 1321, 1321, 1321, 1321, 1321, 1321, 1321, 1321, 1321, 1321,
                    1321, 1321, 1322, 1322, 1322, 1322, 1322, 1322, 1322, 1322, 1322, 1322, 1322, 1322,
                    1322, 1322, 1322, 1322, 1322, 1323, 1323, 1323, 1323, 1323, 1323, 1323, 1323, 1323,
                    1323, 1323, 1323, 1323, 1323, 1323, 1323, 1324, 1324, 1324, 1324, 1324, 1324, 1324,
                    1324, 1324, 1324, 1324, 1324, 1324, 1324, 1324, 1324, 1324, 1325, 1325, 1325, 1325,
                    1325, 1325, 1325, 1325, 1325, 1325, 1325, 1325, 1325, 1325, 1325, 1325, 1325, 1326,
                    1326, 1326, 1326, 1326, 1326,
                ]
            },
            arctangent_hundredths: {
                [
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                    -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520,
                    -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520,
                    -1520, -1520, -1520, -1520, -1520, -1519, -1519, -1519, -1519, -1519, -1519, -1519,
                    -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519,
                    -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519,
                    -1519, -1519, -1519, -1519, -1519, -1519, -1518, -1518, -1518, -1518, -1518, -1518,
                    -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518,
                    -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518,
                    -1518, -1518, -1518, -1518, -1518, -1518, -1517, -1517, -1517, -1517, -1517, -1517,
                    -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517,
                    -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517,
                    -1517, -1517, -1517, -1517, -1517, -1516, -1516, -1516, -1516, -1516, -1516, -1516,
                    -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516,
                    -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516,
                    -1516, -1516, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515,
                    -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515,
                    -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1514, -1514,
                    -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514,
                    -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514,
                    -1514, -1514, -1514, -1514, -1514, -1513, -1513, -1513, -1513, -1513, -1513, -1513,
                    -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513,
                    -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1512,
                    -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512,
                    -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512,
                    -1512, -1512, -1512, -1512, -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1511,
                    -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1511,
                    -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1510, -1510, -1510, -1510,
                    -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510,
                    -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1509,
                    -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509,
                    -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509,
                    -1509, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508,
                    -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508,
                    -1508, -1508, -1508, -1507, -1507, -1507, -1507, -1507, -1507, -1507, -1507, -1507,
                    -1507, -1507, -1507, -1507, -1507, -1507, -1507, -1507, -1507, -1507, -1507, -1507,
                    -1507, -1507, -1507, -1506, -1506, -1506, -1506, -1506, -1506, -1506, -1506, -1506,
                    -1506, -1506, -1506, -1506, -1506, -1506, -1506, -1506, -1506, -1506, -1506, -1506,
                    -1506, -1506, -1506, -1505, -1505, -1505, -1505, -1505, -1505, -1505, -1505, -1505,
                    -1505, -1505, -1505, -1505, -1505, -1505, -1505, -1505, -1505, -1505, -1505, -1505,
                    -1505, -1505, -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504,
                    -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504,
                    -1504, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503,
                    -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1502,
                    -1502, -1502, -1502, -1502, -1502, -1502, -1502, -1502, -1502, -1502, -1502, -1502,
                    -1502, -1502, -1502, -1502, -1502, -1502, -1502, -1502, -1501, -1501, -1501, -1501,
                    -1501, -1501, -1501, -1501, -1501, -1501, -1501, -1501, -1501, -1501, -1501, -1501,
                    -1501, -1501, -1501, -1501, -1500, -1500, -1500, -1500, -1500, -1500, -1500, -1500,
                    -1500, -1500, -1500, -1500, -1500, -1500, -1500, -1500, -1500, -1500, -1500, -1500,
                    -1499, -1499, -1499, -1499, -1499, -1499, -1499, -1499, -1499, -1499, -1499, -1499,
                    -1499, -1499, -1499, -1499, -1499, -1499, -1499, -1499, -1498, -1498, -1498, -1498,
                    -1498, -1498, -1498, -1498, -1498, -1498, -1498, -1498, -1498, -1498, -1498, -1498,
                    -1498, -1498, -1498, -1497, -1497, -1497, -1497, -1497, -1497, -1497, -1497, -1497,
                    -1497, -1497, -1497, -1497, -1497, -1497, -1497, -1497, -1497, -1496, -1496, -1496,
                    -1496, -1496, -1496, -1496, -1496, -1496, -1496, -1496, -1496, -1496, -1496, -1496,
                    -1496, -1496, -1496, -1495, -1495, -1495, -1495, -1495, -1495, -1495, -1495, -1495,
                    -1495, -1495, -1495, -1495, -1495, -1495, -1495, -1495, -1494, -1494, -1494, -1494,
                    -1494, -1494, -1494, -1494, -1494, -1494, -1494, -1494, -1494, -1494, -1494, -1494,
                    -1494, -1493, -1493, -1493, -1493, -1493, -1493, -1493, -1493, -1493, -1493, -1493,
                    -1493, -1493, -1493, -1493, -1493, -1493, -1492, -1492, -1492, -1492, -1492, -1492,
                    -1492, -1492, -1492, -1492, -1492, -1492, -1492, -1492, -1492, -1492, -1491, -1491,
                    -1491, -1491, -1491, -1491, -1491, -1491, -1491, -1491, -1491, -1491, -1491, -1491,
                    -1491, -1491, -1490, -1490, -1490, -1490, -1490, -1490, -1490, -1490, -1490, -1490,
                    -1490, -1490, -1490, -1490, -1490, -1489, -1489, -1489, -1489, -1489, -1489, -1489,
                    -1489, -1489, -1489, -1489, -1489, -1489, -1489, -1489, -1488, -1488, -1488, -1488,
                    -1488, -1488, -1488, -1488, -1488, -1488, -1488, -1488, -1488, -1488, -1488, -1487,
                    -1487, -1487, -1487, -1487, -1487, -1487, -1487, -1487, -1487, -1487, -1487, -1487,
                    -1487, -1486, -1486, -1486, -1486, -1486, -1486, -1486, -1486, -1486, -1486, -1486,
                    -1486, -1486, -1486, -1485, -1485, -1485, -1485, -1485, -1485, -1485, -1485, -1485,
                    -1485, -1485, -1485, -1485, -1485, -1484, -1484, -1484, -1484, -1484, -1484, -1484,
                    -1484, -1484, -1484, -1484, -1484, -1484, -1483, -1483, -1483, -1483, -1483, -1483,
                    -1483, -1483, -1483, -1483, -1483, -1483, -1483, -1482, -1482, -1482, -1482, -1482,
                    -1482, -1482, -1482, -1482, -1482, -1482, -1482, -1482, -1481, -1481, -1481, -1481,
                    -1481, -1481, -1481, -1481, -1481, -1481, -1481, -1481, -1480, -1480, -1480, -1480,
                    -1480, -1480, -1480, -1480, -1480, -1480, -1480, -1480, -1479, -1479, -1479, -1479,
                    -1479, -1479, -1479, -1479, -1479, -1479, -1479, -1479, -1478, -1478, -1478, -1478,
                    -1478, -1478, -1478, -1478, -1478, -1478, -1478, -1478, -1477, -1477, -1477, -1477,
                    -1477, -1477, -1477, -1477, -1477, -1477, -1477, -1476, -1476, -1476, -1476, -1476,
                    -1476, -1476, -1476, -1476, -1476, -1476, -1475, -1475, -1475, -1475, -1475, -1475,
                    -1475, -1475, -1475, -1475, -1475, -1474, -1474, -1474, -1474, -1474, -1474, -1474,
                    -1474, -1474, -1474, -1474, -1473, -1473, -1473, -1473, -1473, -1473, -1473, -1473,
                    -1473, -1473, -1472, -1472, -1472, -1472, -1472, -1472, -1472, -1472, -1472, -1472,
                    -1472, -1471, -1471, -1471, -1471, -1471, -1471, -1471, -1471, -1471, -1471, -1470,
                    -1470, -1470, -1470, -1470, -1470, -1470, -1470, -1470, -1470, -1469, -1469, -1469,
                    -1469, -1469, -1469, -1469, -1469, -1469, -1468, -1468, -1468, -1468, -1468, -1468,
                    -1468, -1468, -1468, -1468, -1467, -1467, -1467, -1467, -1467, -1467, -1467, -1467,
                    -1467, -1466, -1466, -1466, -1466, -1466, -1466, -1466, -1466, -1466, -1465, -1465,
                    -1465, -1465, -1465, -1465, -1465, -1465, -1465, -1464, -1464, -1464, -1464, -1464,
                    -1464, -1464, -1464, -1464, -1463, -1463, -1463, -1463, -1463, -1463, -1463, -1463,
                    -1463, -1462, -1462, -1462, -1462, -1462, -1462, -1462, -1462, -1461, -1461, -1461,
                    -1461, -1461, -1461, -1461, -1461, -1461, -1460, -1460, -1460, -1460, -1460, -1460,
                    -1460, -1460, -1459, -1459, -1459, -1459, -1459, -1459, -1459, -1459, -1458, -1458,
                    -1458, -1458, -1458, -1458, -1458, -1458, -1457, -1457, -1457, -1457, -1457, -1457,
                    -1457, -1456, -1456, -1456, -1456, -1456, -1456, -1456, -1456, -1455, -1455, -1455,
                    -1455, -1455, -1455, -1455, -1455, -1454, -1454, -1454, -1454, -1454, -1454, -1454,
                    -1453, -1453, -1453, -1453, -1453, -1453, -1453, -1452, -1452, -1452, -1452, -1452,
                    -1452, -1452, -1451, -1451, -1451, -1451, -1451, -1451, -1451, -1450, -1450, -1450,
                    -1450, -1450, -1450, -1450, -1449, -1449, -1449, -1449, -1449, -1449, -1449, -1448,
                    -1448, -1448, -1448, -1448, -1448, -1448, -1447, -1447, -1447, -1447, -1447, -1447,
                    -1446, -1446, -1446, -1446, -1446, -1446, -1446, -1445, -1445, -1445, -1445, -1445,
                    -1445, -1444, -1444, -1444, -1444, -1444, -1444, -1443, -1443, -1443, -1443, -1443,
                    -1443, -1442, -1442, -1442, -1442, -1442, -1442, -1441, -1441, -1441, -1441, -1441,
                    -1441, -1440, -1440, -1440, -1440, -1440, -1440, -1439, -1439, -1439, -1439, -1439,
                    -1439, -1438, -1438, -1438, -1438, -1438, -1438, -1437, -1437, -1437, -1437, -1437,
                    -1436, -1436, -1436, -1436, -1436, -1436, -1435, -1435, -1435, -1435, -1435, -1434,
                    -1434, -1434, -1434, -1434, -1434, -1433, -1433, -1433, -1433, -1433, -1432, -1432,
                    -1432, -1432, -1432, -1431, -1431, -1431, -1431, -1431, -1430, -1430, -1430, -1430,
                    -1430, -1429, -1429, -1429, -1429, -1429, -1428, -1428, -1428, -1428, -1428, -1427,
                    -1427, -1427, -1427, -1427, -1426, -1426, -1426, -1426, -1426, -1425, -1425, -1425,
                    -1425, -1425, -1424, -1424, -1424, -1424, -1424, -1423, -1423, -1423, -1423, -1422,
                    -1422, -1422, -1422, -1422, -1421, -1421, -1421, -1421, -1420, -1420, -1420, -1420,
                    -1420, -1419, -1419, -1419, -1419, -1418, -1418, -1418, -1418, -1417, -1417, -1417,
                    -1417, -1417, -1416, -1416, -1416, -1416, -1415, -1415, -1415, -1415, -1414, -1414,
                    -1414, -1414, -1413, -1413, -1413, -1413, -1412, -1412, -1412, -1412, -1411, -1411,
                    -1411, -1411, -1410, -1410, -1410, -1410, -1409, -1409, -1409, -1409, -1408, -1408,
                    -1408, -1408, -1407, -1407, -1407, -1406, -1406, -1406, -1406, -1405, -1405, -1405,
                    -1405, -1404, -1404, -1404, -1403, -1403, -1403, -1403, -1402, -1402, -1402, -1401,
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                    -1373, -1373, -1373, -1372, -1372, -1371, -1371, -1371, -1370, -1370, -1369, -1369,
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                    -1359, -1358, -1358, -1357, -1357, -1356, -1356, -1355, -1355, -1354, -1354, -1354,
                    -1353, -1353, -1352, -1352, -1351, -1351, -1350, -1350, -1349, -1349, -1348, -1348,
                    -1347, -1347, -1346, -1346, -1345, -1345, -1344, -1344, -1343, -1343, -1342, -1342,
                    -1341, -1341, -1340, -1340, -1339, -1339, -1338, -1338, -1337, -1337, -1336, -1335,
                    -1335, -1334, -1334, -1333, -1333, -1332, -1332, -1331, -1330, -1330, -1329, -1329,
                    -1328, -1328, -1327, -1326, -1326, -1325, -1325, -1324, -1323, -1323, -1322, -1322,
                    -1321, -1320, -1320, -1319, -1319, -1318, -1317, -1317, -1316, -1315, -1315, -1314,
                    -1313, -1313, -1312, -1312, -1311, -1310, -1310, -1309, -1308, -1308, -1307, -1306,
                    -1305, -1305, -1304, -1303, -1303, -1302, -1301, -1301, -1300, -1299, -1298, -1298,
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                    -1288, -1287, -1286, -1286, -1285, -1284, -1283, -1282, -1282, -1281, -1280, -1279,
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                    -1268, -1267, -1266, -1265, -1264, -1263, -1262, -1262, -1261, -1260, -1259, -1258,
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                    -1218, -1217, -1216, -1215, -1214, -1212, -1211, -1210, -1209, -1207, -1206, -1205,
                    -1204, -1202, -1201, -1200, -1198, -1197, -1196, -1194, -1193, -1192, -1190, -1189,
                    -1188, -1186, -1185, -1183, -1182, -1180, -1179, -1177, -1176, -1175, -1173, -1172,
                    -1170, -1168, -1167, -1165, -1164, -1162, -1161, -1159, -1157, -1156, -1154, -1153,
                    -1151, -1149, -1148, -1146, -1144, -1142, -1141, -1139, -1137, -1135, -1134, -1132,
                    -1130, -1128, -1126, -1125, -1123, -1121, -1119, -1117, -1115, -1113, -1111, -1109,
                    -1107, -1105, -1103, -1101, -1099, -1097, -1095, -1093, -1091, -1088, -1086, -1084,
                    -1082, -1080, -1077, -1075, -1073, -1071, -1068, -1066, -1064, -1061, -1059, -1057,
                    -1054, -1052, -1049, -1047, -1044, -1042, -1039, -1036, -1034, -1031, -1029, -1026,
                    -1023, -1021, -1018, -1015, -1012, -1009, -1007, -1004, -1001, -998, -995, -992,
                    -989, -986, -983, -980, -977, -973, -970, -967, -964, -961, -957, -954, -951, -947,
                    -944, -940, -937, -933, -930, -926, -922, -919, -915, -911, -908, -904, -900, -896,
                    -892, -888, -884, -880, -876, -872, -868, -864, -859, -855, -851, -846, -842, -837,
                    -833, -828, -824, -819, -815, -810, -805, -800, -795, -790, -785, -780, -775, -770,
                    -765, -760, -754, -749, -744, -738, -733, -727, -722, -716, -710, -704, -699, -693,
                    -687, -681, -675, -669, -662, -656, -650, -644, -637, -631, -624, -617, -611, -604,
                    -597, -590, -583, -576, -569, -562, -555, -548, -540, -533, -526, -518, -510, -503,
                    -495, -487, -480, -472, -464, -456, -448, -439, -431, -423, -415, -406, -398, -389,
                    -381, -372, -363, -354, -346, -337, -328, -319, -310, -301, -291, -282, -273, -264,
                    -254, -245, -236, -226, -217, -207, -197, -188, -178, -168, -159, -149, -139, -129,
                    -119, -110, -100, -90, -80, -70, -60, -50, -40, -30, -20, -10, 0, 10, 20, 30,
                    40, 50, 60, 70, 80, 90, 100, 110, 119, 129, 139, 149, 159, 168, 178, 188, 197, 207,
                    217, 226, 236, 245, 254, 264, 273, 282, 291, 301, 310, 319, 328, 337, 346, 354,
                    363, 372, 381, 389, 398, 406, 415, 423, 431, 439, 448, 456, 464, 472, 480, 487,
                    495, 503, 510, 518, 526, 533, 540, 548, 555, 562, 569, 576, 583, 590, 597, 604,
                    611, 617, 624, 631, 637, 644, 650, 656, 662, 669, 675, 681, 687, 693, 699, 704,
                    710, 716, 722, 727, 733, 738, 744, 749, 754, 760, 765, 770, 775, 780, 785, 790,
                    795, 800, 805, 810, 815, 819, 824, 828, 833, 837, 842, 846, 851, 855, 859, 864,
                    868, 872, 876, 880, 884, 888, 892, 896, 900, 904, 908, 911, 915, 919, 922, 926,
                    930, 933, 937, 940, 944, 947, 951, 954, 957, 961, 964, 967, 970, 973, 977, 980,
                    983, 986, 989, 992, 995, 998, 1001, 1004, 1007, 1009, 1012, 1015, 1018, 1021,
                    1023, 1026, 1029, 1031, 1034, 1036, 1039, 1042, 1044, 1047, 1049, 1052, 1054, 1057,
                    1059, 1061, 1064, 1066, 1068, 1071, 1073, 1075, 1077, 1080, 1082, 1084, 1086, 1088,
                    1091, 1093, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117,
                    1119, 1121, 1123, 1125, 1126, 1128, 1130, 1132, 1134, 1135, 1137, 1139, 1141, 1142,
                    1144, 1146, 1148, 1149, 1151, 1153, 1154, 1156, 1157, 1159, 1161, 1162, 1164, 1165,
                    1167, 1168, 1170, 1172, 1173, 1175, 1176, 1177, 1179, 1180, 1182, 1183, 1185, 1186,
                    1188, 1189, 1190, 1192, 1193, 1194, 1196, 1197, 1198, 1200, 1201, 1202, 1204, 1205,
                    1206, 1207, 1209, 1210, 1211, 1212, 1214, 1215, 1216, 1217, 1218, 1220, 1221, 1222,
                    1223, 1224, 1225, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1236, 1237, 1238,
                    1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252,
                    1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1262, 1263, 1264, 1265,
                    1266, 1267, 1268, 1269, 1270, 1271, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1277,
                    1278, 1279, 1280, 1281, 1282, 1282, 1283, 1284, 1285, 1286, 1286, 1287, 1288, 1289,
                    1289, 1290, 1291, 1292, 1292, 1293, 1294, 1295, 1295, 1296, 1297, 1298, 1298, 1299,
                    1300, 1301, 1301, 1302, 1303, 1303, 1304, 1305, 1305, 1306, 1307, 1308, 1308, 1309,
                    1310, 1310, 1311, 1312, 1312, 1313, 1313, 1314, 1315, 1315, 1316, 1317, 1317, 1318,
                    1319, 1319, 1320, 1320, 1321, 1322, 1322, 1323, 1323, 1324, 1325, 1325, 1326, 1326,
                    1327, 1328, 1328, 1329, 1329, 1330, 1330, 1331, 1332, 1332, 1333, 1333, 1334, 1334,
                    1335, 1335, 1336, 1337, 1337, 1338, 1338, 1339, 1339, 1340, 1340, 1341, 1341, 1342,
                    1342, 1343, 1343, 1344, 1344, 1345, 1345, 1346, 1346, 1347, 1347, 1348, 1348, 1349,
                    1349, 1350, 1350, 1351, 1351, 1352, 1352, 1353, 1353, 1354, 1354, 1354, 1355, 1355,
                    1356, 1356, 1357, 1357, 1358, 1358, 1359, 1359, 1359, 1360, 1360, 1361, 1361, 1362,
                    1362, 1362, 1363, 1363, 1364, 1364, 1365, 1365, 1365, 1366, 1366, 1367, 1367, 1367,
                    1368, 1368, 1369, 1369, 1369, 1370, 1370, 1371, 1371, 1371, 1372, 1372, 1373, 1373,
                    1373, 1374, 1374, 1375, 1375, 1375, 1376, 1376, 1376, 1377, 1377, 1378, 1378, 1378,
                    1379, 1379, 1379, 1380, 1380, 1380, 1381, 1381, 1382, 1382, 1382, 1383, 1383, 1383,
                    1384, 1384, 1384, 1385, 1385, 1385, 1386, 1386, 1386, 1387, 1387, 1387, 1388, 1388,
                    1388, 1389, 1389, 1389, 1390, 1390, 1390, 1391, 1391, 1391, 1392, 1392, 1392, 1393,
                    1393, 1393, 1393, 1394, 1394, 1394, 1395, 1395, 1395, 1396, 1396, 1396, 1397, 1397,
                    1397, 1397, 1398, 1398, 1398, 1399, 1399, 1399, 1399, 1400, 1400, 1400, 1401, 1401,
                    1401, 1401, 1402, 1402, 1402, 1403, 1403, 1403, 1403, 1404, 1404, 1404, 1405, 1405,
                    1405, 1405, 1406, 1406, 1406, 1406, 1407, 1407, 1407, 1408, 1408, 1408, 1408, 1409,
                    1409, 1409, 1409, 1410, 1410, 1410, 1410, 1411, 1411, 1411, 1411, 1412, 1412, 1412,
                    1412, 1413, 1413, 1413, 1413, 1414, 1414, 1414, 1414, 1415, 1415, 1415, 1415, 1416,
                    1416, 1416, 1416, 1417, 1417, 1417, 1417, 1417, 1418, 1418, 1418, 1418, 1419, 1419,
                    1419, 1419, 1420, 1420, 1420, 1420, 1420, 1421, 1421, 1421, 1421, 1422, 1422, 1422,
                    1422, 1422, 1423, 1423, 1423, 1423, 1424, 1424, 1424, 1424, 1424, 1425, 1425, 1425,
                    1425, 1425, 1426, 1426, 1426, 1426, 1426, 1427, 1427, 1427, 1427, 1427, 1428, 1428,
                    1428, 1428, 1428, 1429, 1429, 1429, 1429, 1429, 1430, 1430, 1430, 1430, 1430, 1431,
                    1431, 1431, 1431, 1431, 1432, 1432, 1432, 1432, 1432, 1433, 1433, 1433, 1433, 1433,
                    1434, 1434, 1434, 1434, 1434, 1434, 1435, 1435, 1435, 1435, 1435, 1436, 1436, 1436,
                    1436, 1436, 1436, 1437, 1437, 1437, 1437, 1437, 1438, 1438, 1438, 1438, 1438, 1438,
                    1439, 1439, 1439, 1439, 1439, 1439, 1440, 1440, 1440, 1440, 1440, 1440, 1441, 1441,
                    1441, 1441, 1441, 1441, 1442, 1442, 1442, 1442, 1442, 1442, 1443, 1443, 1443, 1443,
                    1443, 1443, 1444, 1444, 1444, 1444, 1444, 1444, 1445, 1445, 1445, 1445, 1445, 1445,
                    1446, 1446, 1446, 1446, 1446, 1446, 1446, 1447, 1447, 1447, 1447, 1447, 1447, 1448,
                    1448, 1448, 1448, 1448, 1448, 1448, 1449, 1449, 1449, 1449, 1449, 1449, 1449, 1450,
                    1450, 1450, 1450, 1450, 1450, 1450, 1451, 1451, 1451, 1451, 1451, 1451, 1451, 1452,
                    1452, 1452, 1452, 1452, 1452, 1452, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1454,
                    1454, 1454, 1454, 1454, 1454, 1454, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1455,
                    1456, 1456, 1456, 1456, 1456, 1456, 1456, 1456, 1457, 1457, 1457, 1457, 1457, 1457,
                    1457, 1458, 1458, 1458, 1458, 1458, 1458, 1458, 1458, 1459, 1459, 1459, 1459, 1459,
                    1459, 1459, 1459, 1460, 1460, 1460, 1460, 1460, 1460, 1460, 1460, 1461, 1461, 1461,
                    1461, 1461, 1461, 1461, 1461, 1461, 1462, 1462, 1462, 1462, 1462, 1462, 1462, 1462,
                    1463, 1463, 1463, 1463, 1463, 1463, 1463, 1463, 1463, 1464, 1464, 1464, 1464, 1464,
                    1464, 1464, 1464, 1464, 1465, 1465, 1465, 1465, 1465, 1465, 1465, 1465, 1465, 1466,
                    1466, 1466, 1466, 1466, 1466, 1466, 1466, 1466, 1467, 1467, 1467, 1467, 1467, 1467,
                    1467, 1467, 1467, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1469,
                    1469, 1469, 1469, 1469, 1469, 1469, 1469, 1469, 1470, 1470, 1470, 1470, 1470, 1470,
                    1470, 1470, 1470, 1470, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471,
                    1472, 1472, 1472, 1472, 1472, 1472, 1472, 1472, 1472, 1472, 1472, 1473, 1473, 1473,
                    1473, 1473, 1473, 1473, 1473, 1473, 1473, 1474, 1474, 1474, 1474, 1474, 1474, 1474,
                    1474, 1474, 1474, 1474, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475,
                    1475, 1476, 1476, 1476, 1476, 1476, 1476, 1476, 1476, 1476, 1476, 1476, 1477, 1477,
                    1477, 1477, 1477, 1477, 1477, 1477, 1477, 1477, 1477, 1478, 1478, 1478, 1478, 1478,
                    1478, 1478, 1478, 1478, 1478, 1478, 1478, 1479, 1479, 1479, 1479, 1479, 1479, 1479,
                    1479, 1479, 1479, 1479, 1479, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480,
                    1480, 1480, 1480, 1481, 1481, 1481, 1481, 1481, 1481, 1481, 1481, 1481, 1481, 1481,
                    1481, 1482, 1482, 1482, 1482, 1482, 1482, 1482, 1482, 1482, 1482, 1482, 1482, 1482,
                    1483, 1483, 1483, 1483, 1483, 1483, 1483, 1483, 1483, 1483, 1483, 1483, 1483, 1484,
                    1484, 1484, 1484, 1484, 1484, 1484, 1484, 1484, 1484, 1484, 1484, 1484, 1485, 1485,
                    1485, 1485, 1485, 1485, 1485, 1485, 1485, 1485, 1485, 1485, 1485, 1485, 1486, 1486,
                    1486, 1486, 1486, 1486, 1486, 1486, 1486, 1486, 1486, 1486, 1486, 1486, 1487, 1487,
                    1487, 1487, 1487, 1487, 1487, 1487, 1487, 1487, 1487, 1487, 1487, 1487, 1488, 1488,
                    1488, 1488, 1488, 1488, 1488, 1488, 1488, 1488, 1488, 1488, 1488, 1488, 1488, 1489,
                    1489, 1489, 1489, 1489, 1489, 1489, 1489, 1489, 1489, 1489, 1489, 1489, 1489, 1489,
                    1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490,
                    1490, 1491, 1491, 1491, 1491, 1491, 1491, 1491, 1491, 1491, 1491, 1491, 1491, 1491,
                    1491, 1491, 1491, 1492, 1492, 1492, 1492, 1492, 1492, 1492, 1492, 1492, 1492, 1492,
                    1492, 1492, 1492, 1492, 1492, 1493, 1493, 1493, 1493, 1493, 1493, 1493, 1493, 1493,
                    1493, 1493, 1493, 1493, 1493, 1493, 1493, 1493, 1494, 1494, 1494, 1494, 1494, 1494,
                    1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1495, 1495, 1495,
                    1495, 1495, 1495, 1495, 1495, 1495, 1495, 1495, 1495, 1495, 1495, 1495, 1495, 1495,
                    1496, 1496, 1496, 1496, 1496, 1496, 1496, 1496, 1496, 1496, 1496, 1496, 1496, 1496,
                    1496, 1496, 1496, 1496, 1497, 1497, 1497, 1497, 1497, 1497, 1497, 1497, 1497, 1497,
                    1497, 1497, 1497, 1497, 1497, 1497, 1497, 1497, 1498, 1498, 1498, 1498, 1498, 1498,
                    1498, 1498, 1498, 1498, 1498, 1498, 1498, 1498, 1498, 1498, 1498, 1498, 1498, 1499,
                    1499, 1499, 1499, 1499, 1499, 1499, 1499, 1499, 1499, 1499, 1499, 1499, 1499, 1499,
                    1499, 1499, 1499, 1499, 1499, 1500, 1500, 1500, 1500, 1500, 1500, 1500, 1500, 1500,
                    1500, 1500, 1500, 1500, 1500, 1500, 1500, 1500, 1500, 1500, 1500, 1501, 1501, 1501,
                    1501, 1501, 1501, 1501, 1501, 1501, 1501, 1501, 1501, 1501, 1501, 1501, 1501, 1501,
                    1501, 1501, 1501, 1502, 1502, 1502, 1502, 1502, 1502, 1502, 1502, 1502, 1502, 1502,
                    1502, 1502, 1502, 1502, 1502, 1502, 1502, 1502, 1502, 1502, 1503, 1503, 1503, 1503,
                    1503, 1503, 1503, 1503, 1503, 1503, 1503, 1503, 1503, 1503, 1503, 1503, 1503, 1503,
                    1503, 1503, 1503, 1503, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504,
                    1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1505,
                    1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505,
                    1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1506, 1506, 1506, 1506, 1506, 1506,
                    1506, 1506, 1506, 1506, 1506, 1506, 1506, 1506, 1506, 1506, 1506, 1506, 1506, 1506,
                    1506, 1506, 1506, 1506, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507,
                    1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507,
                    1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508,
                    1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1509, 1509,
                    1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509,
                    1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1510, 1510, 1510, 1510,
                    1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510,
                    1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1511, 1511, 1511, 1511, 1511,
                    1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511,
                    1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1512, 1512, 1512, 1512, 1512,
                    1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512,
                    1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1513, 1513, 1513, 1513,
                    1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513,
                    1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1514, 1514,
                    1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514,
                    1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514,
                    1514, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515,
                    1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515,
                    1515, 1515, 1515, 1515, 1515, 1516, 1516, 1516, 1516, 1516, 1516, 1516, 1516, 1516,
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}