deterministic_trigonometry/
initialize.rs

1/*  This module contains the initialize function, which writes the pre-baked trigonometry arrays into RAM. This uses 
2around 90 KB of RAM. */
3
4impl crate::DTrig {
5    /// Initializes the Dtrig struct.
6    ///
7    /// - Must be used before any other Dtrig functions are used.
8    /// - Writes the pre-baked trigonometry tables into RAM.
9    ///
10    /// # Example
11    ///
12    /// ```
13    /// use deterministic_trigonometry::DTrig;
14    ///
15    /// fn main (){
16    ///
17    /// let d_trig = DTrig::initialize();
18    ///
19    /// let sine_of_pi_over_three = d_trig.sine((1047,1000));
20    ///
21    /// println!("The sine of 1047/1000 radians is {}/{}.", sine_of_pi_over_three.0, sine_of_pi_over_three.1);
22    ///
23    /// }
24    /// ```
25
26    pub fn initialize() -> Self {
27        return crate::DTrig {
28            sine_array: {
29                [
30                    0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
31                    22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
32                    42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
33                    62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
34                    82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101,
35                    102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117,
36                    118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133,
37                    134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 144, 145, 146, 147, 148,
38                    149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164,
39                    165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180,
40                    181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196,
41                    197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 207, 208, 209, 210, 211,
42                    212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227,
43                    228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243,
44                    244, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258,
45                    259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 273,
46                    274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289,
47                    290, 291, 292, 293, 294, 295, 296, 296, 297, 298, 299, 300, 301, 302, 303, 304,
48                    305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 316, 317, 318, 319,
49                    320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 333, 334,
50                    335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 349,
51                    350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 363, 364,
52                    365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 376, 377, 378, 379,
53                    380, 381, 382, 383, 384, 385, 386, 387, 388, 388, 389, 390, 391, 392, 393, 394,
54                    395, 396, 397, 398, 399, 400, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409,
55                    410, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 421, 422, 423,
56                    424, 425, 426, 427, 428, 429, 430, 430, 431, 432, 433, 434, 435, 436, 437, 438,
57                    439, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 448, 449, 450, 451, 452,
58                    453, 454, 455, 456, 456, 457, 458, 459, 460, 461, 462, 463, 464, 464, 465, 466,
59                    467, 468, 469, 470, 471, 472, 472, 473, 474, 475, 476, 477, 478, 479, 479, 480,
60                    481, 482, 483, 484, 485, 486, 486, 487, 488, 489, 490, 491, 492, 493, 493, 494,
61                    495, 496, 497, 498, 499, 499, 500, 501, 502, 503, 504, 505, 506, 506, 507, 508,
62                    509, 510, 511, 512, 512, 513, 514, 515, 516, 517, 518, 518, 519, 520, 521, 522,
63                    523, 524, 524, 525, 526, 527, 528, 529, 529, 530, 531, 532, 533, 534, 535, 535,
64                    536, 537, 538, 539, 540, 540, 541, 542, 543, 544, 545, 546, 546, 547, 548, 549,
65                    550, 551, 551, 552, 553, 554, 555, 556, 556, 557, 558, 559, 560, 561, 561, 562,
66                    563, 564, 565, 565, 566, 567, 568, 569, 570, 570, 571, 572, 573, 574, 575, 575,
67                    576, 577, 578, 579, 579, 580, 581, 582, 583, 583, 584, 585, 586, 587, 588, 588,
68                    589, 590, 591, 592, 592, 593, 594, 595, 596, 596, 597, 598, 599, 600, 600, 601,
69                    602, 603, 604, 604, 605, 606, 607, 608, 608, 609, 610, 611, 612, 612, 613, 614,
70                    615, 615, 616, 617, 618, 619, 619, 620, 621, 622, 623, 623, 624, 625, 626, 626,
71                    627, 628, 629, 630, 630, 631, 632, 633, 633, 634, 635, 636, 637, 637, 638, 639,
72                    640, 640, 641, 642, 643, 643, 644, 645, 646, 647, 647, 648, 649, 650, 650, 651,
73                    652, 653, 653, 654, 655, 656, 656, 657, 658, 659, 659, 660, 661, 662, 662, 663,
74                    664, 665, 665, 666, 667, 668, 668, 669, 670, 671, 671, 672, 673, 674, 674, 675,
75                    676, 677, 677, 678, 679, 679, 680, 681, 682, 682, 683, 684, 685, 685, 686, 687,
76                    687, 688, 689, 690, 690, 691, 692, 693, 693, 694, 695, 695, 696, 697, 698, 698,
77                    699, 700, 700, 701, 702, 703, 703, 704, 705, 705, 706, 707, 708, 708, 709, 710,
78                    710, 711, 712, 712, 713, 714, 715, 715, 716, 717, 717, 718, 719, 719, 720, 721,
79                    722, 722, 723, 724, 724, 725, 726, 726, 727, 728, 728, 729, 730, 730, 731, 732,
80                    733, 733, 734, 735, 735, 736, 737, 737, 738, 739, 739, 740, 741, 741, 742, 743,
81                    743, 744, 745, 745, 746, 747, 747, 748, 749, 749, 750, 751, 751, 752, 753, 753,
82                    754, 755, 755, 756, 757, 757, 758, 758, 759, 760, 760, 761, 762, 762, 763, 764,
83                    764, 765, 766, 766, 767, 768, 768, 769, 769, 770, 771, 771, 772, 773, 773, 774,
84                    775, 775, 776, 776, 777, 778, 778, 779, 780, 780, 781, 781, 782, 783, 783, 784,
85                    785, 785, 786, 786, 787, 788, 788, 789, 790, 790, 791, 791, 792, 793, 793, 794,
86                    794, 795, 796, 796, 797, 797, 798, 799, 799, 800, 800, 801, 802, 802, 803, 803,
87                    804, 805, 805, 806, 806, 807, 808, 808, 809, 809, 810, 810, 811, 812, 812, 813,
88                    813, 814, 815, 815, 816, 816, 817, 817, 818, 819, 819, 820, 820, 821, 821, 822,
89                    823, 823, 824, 824, 825, 825, 826, 827, 827, 828, 828, 829, 829, 830, 830, 831,
90                    832, 832, 833, 833, 834, 834, 835, 835, 836, 837, 837, 838, 838, 839, 839, 840,
91                    840, 841, 841, 842, 843, 843, 844, 844, 845, 845, 846, 846, 847, 847, 848, 848,
92                    849, 849, 850, 851, 851, 852, 852, 853, 853, 854, 854, 855, 855, 856, 856, 857,
93                    857, 858, 858, 859, 859, 860, 860, 861, 861, 862, 862, 863, 863, 864, 864, 865,
94                    865, 866, 866, 867, 867, 868, 868, 869, 869, 870, 870, 871, 871, 872, 872, 873,
95                    873, 874, 874, 875, 875, 876, 876, 877, 877, 878, 878, 879, 879, 880, 880, 881,
96                    881, 881, 882, 882, 883, 883, 884, 884, 885, 885, 886, 886, 887, 887, 888, 888,
97                    888, 889, 889, 890, 890, 891, 891, 892, 892, 893, 893, 893, 894, 894, 895, 895,
98                    896, 896, 897, 897, 897, 898, 898, 899, 899, 900, 900, 901, 901, 901, 902, 902,
99                    903, 903, 904, 904, 904, 905, 905, 906, 906, 907, 907, 907, 908, 908, 909, 909,
100                    909, 910, 910, 911, 911, 912, 912, 912, 913, 913, 914, 914, 914, 915, 915, 916,
101                    916, 916, 917, 917, 918, 918, 918, 919, 919, 920, 920, 920, 921, 921, 922, 922,
102                    922, 923, 923, 923, 924, 924, 925, 925, 925, 926, 926, 926, 927, 927, 928, 928,
103                    928, 929, 929, 929, 930, 930, 931, 931, 931, 932, 932, 932, 933, 933, 933, 934,
104                    934, 935, 935, 935, 936, 936, 936, 937, 937, 937, 938, 938, 938, 939, 939, 939,
105                    940, 940, 940, 941, 941, 941, 942, 942, 942, 943, 943, 943, 944, 944, 944, 945,
106                    945, 945, 946, 946, 946, 947, 947, 947, 948, 948, 948, 949, 949, 949, 950, 950,
107                    950, 951, 951, 951, 951, 952, 952, 952, 953, 953, 953, 954, 954, 954, 955, 955,
108                    955, 955, 956, 956, 956, 957, 957, 957, 957, 958, 958, 958, 959, 959, 959, 959,
109                    960, 960, 960, 961, 961, 961, 961, 962, 962, 962, 962, 963, 963, 963, 964, 964,
110                    964, 964, 965, 965, 965, 965, 966, 966, 966, 966, 967, 967, 967, 967, 968, 968,
111                    968, 968, 969, 969, 969, 969, 970, 970, 970, 970, 971, 971, 971, 971, 972, 972,
112                    972, 972, 973, 973, 973, 973, 973, 974, 974, 974, 974, 975, 975, 975, 975, 976,
113                    976, 976, 976, 976, 977, 977, 977, 977, 977, 978, 978, 978, 978, 978, 979, 979,
114                    979, 979, 980, 980, 980, 980, 980, 981, 981, 981, 981, 981, 981, 982, 982, 982,
115                    982, 982, 983, 983, 983, 983, 983, 984, 984, 984, 984, 984, 984, 985, 985, 985,
116                    985, 985, 985, 986, 986, 986, 986, 986, 986, 987, 987, 987, 987, 987, 987, 988,
117                    988, 988, 988, 988, 988, 989, 989, 989, 989, 989, 989, 989, 990, 990, 990, 990,
118                    990, 990, 990, 991, 991, 991, 991, 991, 991, 991, 991, 992, 992, 992, 992, 992,
119                    992, 992, 992, 993, 993, 993, 993, 993, 993, 993, 993, 994, 994, 994, 994, 994,
120                    994, 994, 994, 994, 995, 995, 995, 995, 995, 995, 995, 995, 995, 995, 996, 996,
121                    996, 996, 996, 996, 996, 996, 996, 996, 996, 996, 997, 997, 997, 997, 997, 997,
122                    997, 997, 997, 997, 997, 997, 997, 998, 998, 998, 998, 998, 998, 998, 998, 998,
123                    998, 998, 998, 998, 998, 998, 998, 999, 999, 999, 999, 999, 999, 999, 999, 999,
124                    999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 1000, 1000,
125                    1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000,
126                    1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000,
127                    1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000,
128                    1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000,
129                    1000, 1000, 1000, 1000, 1000, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999,
130                    999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 998, 998, 998, 998,
131                    998, 998, 998, 998, 998, 998, 998, 998, 998, 998, 998, 998, 997, 997, 997, 997,
132                    997, 997, 997, 997, 997, 997, 997, 997, 997, 996, 996, 996, 996, 996, 996, 996,
133                    996, 996, 996, 996, 995, 995, 995, 995, 995, 995, 995, 995, 995, 995, 994, 994,
134                    994, 994, 994, 994, 994, 994, 994, 993, 993, 993, 993, 993, 993, 993, 993, 993,
135                    992, 992, 992, 992, 992, 992, 992, 992, 991, 991, 991, 991, 991, 991, 991, 990,
136                    990, 990, 990, 990, 990, 990, 989, 989, 989, 989, 989, 989, 989, 988, 988, 988,
137                    988, 988, 988, 988, 987, 987, 987, 987, 987, 987, 986, 986, 986, 986, 986, 986,
138                    985, 985, 985, 985, 985, 985, 984, 984, 984, 984, 984, 983, 983, 983, 983, 983,
139                    983, 982, 982, 982, 982, 982, 981, 981, 981, 981, 981, 980, 980, 980, 980, 980,
140                    979, 979, 979, 979, 979, 978, 978, 978, 978, 978, 977, 977, 977, 977, 977, 976,
141                    976, 976, 976, 975, 975, 975, 975, 975, 974, 974, 974, 974, 973, 973, 973, 973,
142                    972, 972, 972, 972, 972, 971, 971, 971, 971, 970, 970, 970, 970, 969, 969, 969,
143                    969, 968, 968, 968, 968, 967, 967, 967, 967, 966, 966, 966, 966, 965, 965, 965,
144                    965, 964, 964, 964, 963, 963, 963, 963, 962, 962, 962, 962, 961, 961, 961, 960,
145                    960, 960, 960, 959, 959, 959, 958, 958, 958, 958, 957, 957, 957, 956, 956, 956,
146                    956, 955, 955, 955, 954, 954, 954, 953, 953, 953, 953, 952, 952, 952, 951, 951,
147                    951, 950, 950, 950, 949, 949, 949, 949, 948, 948, 948, 947, 947, 947, 946, 946,
148                    946, 945, 945, 945, 944, 944, 944, 943, 943, 943, 942, 942, 942, 941, 941, 941,
149                    940, 940, 940, 939, 939, 939, 938, 938, 938, 937, 937, 937, 936, 936, 935, 935,
150                    935, 934, 934, 934, 933, 933, 933, 932, 932, 932, 931, 931, 930, 930, 930, 929,
151                    929, 929, 928, 928, 927, 927, 927, 926, 926, 926, 925, 925, 924, 924, 924, 923,
152                    923, 923, 922, 922, 921, 921, 921, 920, 920, 919, 919, 919, 918, 918, 917, 917,
153                    917, 916, 916, 915, 915, 915, 914, 914, 913, 913, 913, 912, 912, 911, 911, 911,
154                    910, 910, 909, 909, 908, 908, 908, 907, 907, 906, 906, 906, 905, 905, 904, 904,
155                    903, 903, 903, 902, 902, 901, 901, 900, 900, 899, 899, 899, 898, 898, 897, 897,
156                    896, 896, 896, 895, 895, 894, 894, 893, 893, 892, 892, 891, 891, 891, 890, 890,
157                    889, 889, 888, 888, 887, 887, 886, 886, 886, 885, 885, 884, 884, 883, 883, 882,
158                    882, 881, 881, 880, 880, 879, 879, 878, 878, 877, 877, 877, 876, 876, 875, 875,
159                    874, 874, 873, 873, 872, 872, 871, 871, 870, 870, 869, 869, 868, 868, 867, 867,
160                    866, 866, 865, 865, 864, 864, 863, 863, 862, 862, 861, 861, 860, 860, 859, 859,
161                    858, 858, 857, 857, 856, 856, 855, 855, 854, 853, 853, 852, 852, 851, 851, 850,
162                    850, 849, 849, 848, 848, 847, 847, 846, 846, 845, 844, 844, 843, 843, 842, 842,
163                    841, 841, 840, 840, 839, 839, 838, 837, 837, 836, 836, 835, 835, 834, 834, 833,
164                    832, 832, 831, 831, 830, 830, 829, 829, 828, 827, 827, 826, 826, 825, 825, 824,
165                    824, 823, 822, 822, 821, 821, 820, 820, 819, 818, 818, 817, 817, 816, 816, 815,
166                    814, 814, 813, 813, 812, 811, 811, 810, 810, 809, 808, 808, 807, 807, 806, 806,
167                    805, 804, 804, 803, 803, 802, 801, 801, 800, 800, 799, 798, 798, 797, 797, 796,
168                    795, 795, 794, 794, 793, 792, 792, 791, 790, 790, 789, 789, 788, 787, 787, 786,
169                    786, 785, 784, 784, 783, 782, 782, 781, 781, 780, 779, 779, 778, 777, 777, 776,
170                    776, 775, 774, 774, 773, 772, 772, 771, 770, 770, 769, 769, 768, 767, 767, 766,
171                    765, 765, 764, 763, 763, 762, 761, 761, 760, 760, 759, 758, 758, 757, 756, 756,
172                    755, 754, 754, 753, 752, 752, 751, 750, 750, 749, 748, 748, 747, 746, 746, 745,
173                    744, 744, 743, 742, 742, 741, 740, 740, 739, 738, 738, 737, 736, 736, 735, 734,
174                    734, 733, 732, 732, 731, 730, 730, 729, 728, 727, 727, 726, 725, 725, 724, 723,
175                    723, 722, 721, 721, 720, 719, 718, 718, 717, 716, 716, 715, 714, 714, 713, 712,
176                    711, 711, 710, 709, 709, 708, 707, 707, 706, 705, 704, 704, 703, 702, 702, 701,
177                    700, 699, 699, 698, 697, 697, 696, 695, 694, 694, 693, 692, 692, 691, 690, 689,
178                    689, 688, 687, 686, 686, 685, 684, 684, 683, 682, 681, 681, 680, 679, 678, 678,
179                    677, 676, 675, 675, 674, 673, 673, 672, 671, 670, 670, 669, 668, 667, 667, 666,
180                    665, 664, 664, 663, 662, 661, 661, 660, 659, 658, 658, 657, 656, 655, 655, 654,
181                    653, 652, 652, 651, 650, 649, 648, 648, 647, 646, 645, 645, 644, 643, 642, 642,
182                    641, 640, 639, 639, 638, 637, 636, 635, 635, 634, 633, 632, 632, 631, 630, 629,
183                    628, 628, 627, 626, 625, 625, 624, 623, 622, 621, 621, 620, 619, 618, 618, 617,
184                    616, 615, 614, 614, 613, 612, 611, 610, 610, 609, 608, 607, 606, 606, 605, 604,
185                    603, 602, 602, 601, 600, 599, 598, 598, 597, 596, 595, 594, 594, 593, 592, 591,
186                    590, 590, 589, 588, 587, 586, 586, 585, 584, 583, 582, 582, 581, 580, 579, 578,
187                    577, 577, 576, 575, 574, 573, 573, 572, 571, 570, 569, 568, 568, 567, 566, 565,
188                    564, 563, 563, 562, 561, 560, 559, 559, 558, 557, 556, 555, 554, 554, 553, 552,
189                    551, 550, 549, 549, 548, 547, 546, 545, 544, 543, 543, 542, 541, 540, 539, 538,
190                    538, 537, 536, 535, 534, 533, 533, 532, 531, 530, 529, 528, 527, 527, 526, 525,
191                    524, 523, 522, 521, 521, 520, 519, 518, 517, 516, 516, 515, 514, 513, 512, 511,
192                    510, 509, 509, 508, 507, 506, 505, 504, 503, 503, 502, 501, 500, 499, 498, 497,
193                    497, 496, 495, 494, 493, 492, 491, 490, 490, 489, 488, 487, 486, 485, 484, 483,
194                    483, 482, 481, 480, 479, 478, 477, 476, 476, 475, 474, 473, 472, 471, 470, 469,
195                    469, 468, 467, 466, 465, 464, 463, 462, 461, 461, 460, 459, 458, 457, 456, 455,
196                    454, 453, 453, 452, 451, 450, 449, 448, 447, 446, 445, 444, 444, 443, 442, 441,
197                    440, 439, 438, 437, 436, 435, 435, 434, 433, 432, 431, 430, 429, 428, 427, 426,
198                    426, 425, 424, 423, 422, 421, 420, 419, 418, 417, 417, 416, 415, 414, 413, 412,
199                    411, 410, 409, 408, 407, 406, 406, 405, 404, 403, 402, 401, 400, 399, 398, 397,
200                    396, 395, 395, 394, 393, 392, 391, 390, 389, 388, 387, 386, 385, 384, 384, 383,
201                    382, 381, 380, 379, 378, 377, 376, 375, 374, 373, 372, 371, 371, 370, 369, 368,
202                    367, 366, 365, 364, 363, 362, 361, 360, 359, 358, 358, 357, 356, 355, 354, 353,
203                    352, 351, 350, 349, 348, 347, 346, 345, 344, 343, 343, 342, 341, 340, 339, 338,
204                    337, 336, 335, 334, 333, 332, 331, 330, 329, 328, 327, 326, 326, 325, 324, 323,
205                    322, 321, 320, 319, 318, 317, 316, 315, 314, 313, 312, 311, 310, 309, 308, 308,
206                    307, 306, 305, 304, 303, 302, 301, 300, 299, 298, 297, 296, 295, 294, 293, 292,
207                    291, 290, 289, 288, 287, 287, 286, 285, 284, 283, 282, 281, 280, 279, 278, 277,
208                    276, 275, 274, 273, 272, 271, 270, 269, 268, 267, 266, 265, 264, 263, 262, 262,
209                    261, 260, 259, 258, 257, 256, 255, 254, 253, 252, 251, 250, 249, 248, 247, 246,
210                    245, 244, 243, 242, 241, 240, 239, 238, 237, 236, 235, 234, 233, 232, 231, 231,
211                    230, 229, 228, 227, 226, 225, 224, 223, 222, 221, 220, 219, 218, 217, 216, 215,
212                    214, 213, 212, 211, 210, 209, 208, 207, 206, 205, 204, 203, 202, 201, 200, 199,
213                    198, 197, 196, 195, 194, 193, 192, 191, 190, 189, 188, 187, 186, 186, 185, 184,
214                    183, 182, 181, 180, 179, 178, 177, 176, 175, 174, 173, 172, 171, 170, 169, 168,
215                    167, 166, 165, 164, 163, 162, 161, 160, 159, 158, 157, 156, 155, 154, 153, 152,
216                    151, 150, 149, 148, 147, 146, 145, 144, 143, 142, 141, 140, 139, 138, 137, 136,
217                    135, 134, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120,
218                    119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104,
219                    103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84,
220                    83, 82, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65,
221                    64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45,
222                    44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25,
223                    24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3,
224                    2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17,
225                    -18, -19, -20, -21, -22, -23, -24, -25, -26, -27, -28, -29, -30, -31, -32, -33,
226                    -34, -35, -36, -37, -38, -39, -40, -41, -42, -43, -44, -45, -46, -47, -48, -49,
227                    -50, -51, -52, -53, -54, -55, -56, -57, -58, -59, -60, -61, -62, -63, -64, -65,
228                    -66, -67, -68, -69, -70, -71, -72, -73, -74, -75, -76, -77, -78, -79, -80, -81,
229                    -82, -83, -84, -85, -86, -87, -88, -89, -90, -91, -92, -93, -94, -95, -96, -97,
230                    -98, -99, -100, -101, -102, -103, -104, -105, -106, -107, -108, -109, -110, -111,
231                    -112, -113, -114, -115, -116, -117, -118, -119, -120, -121, -122, -123, -124, -125,
232                    -126, -127, -128, -129, -130, -131, -132, -133, -134, -135, -136, -137, -138, -139,
233                    -140, -141, -142, -143, -144, -145, -146, -147, -148, -149, -150, -151, -152, -153,
234                    -154, -155, -156, -157, -158, -159, -160, -161, -162, -163, -164, -165, -166, -167,
235                    -168, -169, -170, -171, -172, -173, -174, -175, -175, -176, -177, -178, -179, -180,
236                    -181, -182, -183, -184, -185, -186, -187, -188, -189, -190, -191, -192, -193, -194,
237                    -195, -196, -197, -198, -199, -200, -201, -202, -203, -204, -205, -206, -207, -208,
238                    -209, -210, -211, -212, -213, -214, -215, -216, -217, -218, -219, -220, -221, -222,
239                    -223, -224, -224, -225, -226, -227, -228, -229, -230, -231, -232, -233, -234, -235,
240                    -236, -237, -238, -239, -240, -241, -242, -243, -244, -245, -246, -247, -248, -249,
241                    -250, -251, -252, -253, -254, -255, -256, -257, -257, -258, -259, -260, -261, -262,
242                    -263, -264, -265, -266, -267, -268, -269, -270, -271, -272, -273, -274, -275, -276,
243                    -277, -278, -279, -280, -281, -282, -283, -283, -284, -285, -286, -287, -288, -289,
244                    -290, -291, -292, -293, -294, -295, -296, -297, -298, -299, -300, -301, -302, -303,
245                    -304, -304, -305, -306, -307, -308, -309, -310, -311, -312, -313, -314, -315, -316,
246                    -317, -318, -319, -320, -321, -322, -323, -323, -324, -325, -326, -327, -328, -329,
247                    -330, -331, -332, -333, -334, -335, -336, -337, -338, -339, -340, -340, -341, -342,
248                    -343, -344, -345, -346, -347, -348, -349, -350, -351, -352, -353, -354, -355, -355,
249                    -356, -357, -358, -359, -360, -361, -362, -363, -364, -365, -366, -367, -368, -369,
250                    -369, -370, -371, -372, -373, -374, -375, -376, -377, -378, -379, -380, -381, -381,
251                    -382, -383, -384, -385, -386, -387, -388, -389, -390, -391, -392, -393, -393, -394,
252                    -395, -396, -397, -398, -399, -400, -401, -402, -403, -404, -404, -405, -406, -407,
253                    -408, -409, -410, -411, -412, -413, -414, -415, -415, -416, -417, -418, -419, -420,
254                    -421, -422, -423, -424, -424, -425, -426, -427, -428, -429, -430, -431, -432, -433,
255                    -434, -434, -435, -436, -437, -438, -439, -440, -441, -442, -443, -443, -444, -445,
256                    -446, -447, -448, -449, -450, -451, -451, -452, -453, -454, -455, -456, -457, -458,
257                    -459, -459, -460, -461, -462, -463, -464, -465, -466, -467, -467, -468, -469, -470,
258                    -471, -472, -473, -474, -475, -475, -476, -477, -478, -479, -480, -481, -482, -482,
259                    -483, -484, -485, -486, -487, -488, -489, -489, -490, -491, -492, -493, -494, -495,
260                    -495, -496, -497, -498, -499, -500, -501, -502, -502, -503, -504, -505, -506, -507,
261                    -508, -508, -509, -510, -511, -512, -513, -514, -514, -515, -516, -517, -518, -519,
262                    -520, -520, -521, -522, -523, -524, -525, -526, -526, -527, -528, -529, -530, -531,
263                    -532, -532, -533, -534, -535, -536, -537, -537, -538, -539, -540, -541, -542, -542,
264                    -543, -544, -545, -546, -547, -548, -548, -549, -550, -551, -552, -553, -553, -554,
265                    -555, -556, -557, -558, -558, -559, -560, -561, -562, -563, -563, -564, -565, -566,
266                    -567, -567, -568, -569, -570, -571, -572, -572, -573, -574, -575, -576, -576, -577,
267                    -578, -579, -580, -581, -581, -582, -583, -584, -585, -585, -586, -587, -588, -589,
268                    -589, -590, -591, -592, -593, -594, -594, -595, -596, -597, -598, -598, -599, -600,
269                    -601, -602, -602, -603, -604, -605, -606, -606, -607, -608, -609, -609, -610, -611,
270                    -612, -613, -613, -614, -615, -616, -617, -617, -618, -619, -620, -621, -621, -622,
271                    -623, -624, -624, -625, -626, -627, -628, -628, -629, -630, -631, -631, -632, -633,
272                    -634, -635, -635, -636, -637, -638, -638, -639, -640, -641, -641, -642, -643, -644,
273                    -645, -645, -646, -647, -648, -648, -649, -650, -651, -651, -652, -653, -654, -654,
274                    -655, -656, -657, -657, -658, -659, -660, -660, -661, -662, -663, -663, -664, -665,
275                    -666, -666, -667, -668, -669, -669, -670, -671, -672, -672, -673, -674, -675, -675,
276                    -676, -677, -678, -678, -679, -680, -680, -681, -682, -683, -683, -684, -685, -686,
277                    -686, -687, -688, -688, -689, -690, -691, -691, -692, -693, -694, -694, -695, -696,
278                    -696, -697, -698, -699, -699, -700, -701, -701, -702, -703, -704, -704, -705, -706,
279                    -706, -707, -708, -709, -709, -710, -711, -711, -712, -713, -713, -714, -715, -716,
280                    -716, -717, -718, -718, -719, -720, -720, -721, -722, -722, -723, -724, -725, -725,
281                    -726, -727, -727, -728, -729, -729, -730, -731, -731, -732, -733, -733, -734, -735,
282                    -736, -736, -737, -738, -738, -739, -740, -740, -741, -742, -742, -743, -744, -744,
283                    -745, -746, -746, -747, -748, -748, -749, -750, -750, -751, -752, -752, -753, -754,
284                    -754, -755, -755, -756, -757, -757, -758, -759, -759, -760, -761, -761, -762, -763,
285                    -763, -764, -765, -765, -766, -767, -767, -768, -768, -769, -770, -770, -771, -772,
286                    -772, -773, -774, -774, -775, -775, -776, -777, -777, -778, -779, -779, -780, -780,
287                    -781, -782, -782, -783, -784, -784, -785, -785, -786, -787, -787, -788, -789, -789,
288                    -790, -790, -791, -792, -792, -793, -793, -794, -795, -795, -796, -796, -797, -798,
289                    -798, -799, -799, -800, -801, -801, -802, -802, -803, -804, -804, -805, -805, -806,
290                    -807, -807, -808, -808, -809, -810, -810, -811, -811, -812, -812, -813, -814, -814,
291                    -815, -815, -816, -817, -817, -818, -818, -819, -819, -820, -821, -821, -822, -822,
292                    -823, -823, -824, -825, -825, -826, -826, -827, -827, -828, -828, -829, -830, -830,
293                    -831, -831, -832, -832, -833, -833, -834, -835, -835, -836, -836, -837, -837, -838,
294                    -838, -839, -840, -840, -841, -841, -842, -842, -843, -843, -844, -844, -845, -845,
295                    -846, -847, -847, -848, -848, -849, -849, -850, -850, -851, -851, -852, -852, -853,
296                    -853, -854, -854, -855, -855, -856, -856, -857, -858, -858, -859, -859, -860, -860,
297                    -861, -861, -862, -862, -863, -863, -864, -864, -865, -865, -866, -866, -867, -867,
298                    -868, -868, -869, -869, -870, -870, -871, -871, -872, -872, -873, -873, -874, -874,
299                    -875, -875, -875, -876, -876, -877, -877, -878, -878, -879, -879, -880, -880, -881,
300                    -881, -882, -882, -883, -883, -884, -884, -884, -885, -885, -886, -886, -887, -887,
301                    -888, -888, -889, -889, -890, -890, -890, -891, -891, -892, -892, -893, -893, -894,
302                    -894, -895, -895, -895, -896, -896, -897, -897, -898, -898, -899, -899, -899, -900,
303                    -900, -901, -901, -902, -902, -902, -903, -903, -904, -904, -905, -905, -905, -906,
304                    -906, -907, -907, -908, -908, -908, -909, -909, -910, -910, -910, -911, -911, -912,
305                    -912, -913, -913, -913, -914, -914, -915, -915, -915, -916, -916, -917, -917, -917,
306                    -918, -918, -919, -919, -919, -920, -920, -921, -921, -921, -922, -922, -922, -923,
307                    -923, -924, -924, -924, -925, -925, -926, -926, -926, -927, -927, -927, -928, -928,
308                    -929, -929, -929, -930, -930, -930, -931, -931, -931, -932, -932, -933, -933, -933,
309                    -934, -934, -934, -935, -935, -935, -936, -936, -936, -937, -937, -938, -938, -938,
310                    -939, -939, -939, -940, -940, -940, -941, -941, -941, -942, -942, -942, -943, -943,
311                    -943, -944, -944, -944, -945, -945, -945, -946, -946, -946, -947, -947, -947, -948,
312                    -948, -948, -948, -949, -949, -949, -950, -950, -950, -951, -951, -951, -952, -952,
313                    -952, -953, -953, -953, -953, -954, -954, -954, -955, -955, -955, -956, -956, -956,
314                    -956, -957, -957, -957, -958, -958, -958, -958, -959, -959, -959, -960, -960, -960,
315                    -960, -961, -961, -961, -961, -962, -962, -962, -963, -963, -963, -963, -964, -964,
316                    -964, -964, -965, -965, -965, -966, -966, -966, -966, -967, -967, -967, -967, -968,
317                    -968, -968, -968, -969, -969, -969, -969, -970, -970, -970, -970, -971, -971, -971,
318                    -971, -971, -972, -972, -972, -972, -973, -973, -973, -973, -974, -974, -974, -974,
319                    -974, -975, -975, -975, -975, -976, -976, -976, -976, -976, -977, -977, -977, -977,
320                    -978, -978, -978, -978, -978, -979, -979, -979, -979, -979, -980, -980, -980, -980,
321                    -980, -981, -981, -981, -981, -981, -982, -982, -982, -982, -982, -982, -983, -983,
322                    -983, -983, -983, -984, -984, -984, -984, -984, -984, -985, -985, -985, -985, -985,
323                    -986, -986, -986, -986, -986, -986, -987, -987, -987, -987, -987, -987, -987, -988,
324                    -988, -988, -988, -988, -988, -989, -989, -989, -989, -989, -989, -989, -990, -990,
325                    -990, -990, -990, -990, -990, -991, -991, -991, -991, -991, -991, -991, -992, -992,
326                    -992, -992, -992, -992, -992, -992, -993, -993, -993, -993, -993, -993, -993, -993,
327                    -993, -994, -994, -994, -994, -994, -994, -994, -994, -994, -995, -995, -995, -995,
328                    -995, -995, -995, -995, -995, -995, -996, -996, -996, -996, -996, -996, -996, -996,
329                    -996, -996, -996, -997, -997, -997, -997, -997, -997, -997, -997, -997, -997, -997,
330                    -997, -997, -998, -998, -998, -998, -998, -998, -998, -998, -998, -998, -998, -998,
331                    -998, -998, -998, -998, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999,
332                    -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -1000,
333                    -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000,
334                    -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000,
335                    -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000,
336                    -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000,
337                    -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000,
338                    -1000, -1000, -1000, -999, -999, -999, -999, -999, -999, -999, -999, -999,
339                    -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999,
340                    -998, -998, -998, -998, -998, -998, -998, -998, -998, -998, -998, -998, -998, -998,
341                    -998, -998, -997, -997, -997, -997, -997, -997, -997, -997, -997, -997, -997, -997,
342                    -997, -996, -996, -996, -996, -996, -996, -996, -996, -996, -996, -996, -995, -995,
343                    -995, -995, -995, -995, -995, -995, -995, -995, -994, -994, -994, -994, -994, -994,
344                    -994, -994, -994, -993, -993, -993, -993, -993, -993, -993, -993, -992, -992, -992,
345                    -992, -992, -992, -992, -992, -991, -991, -991, -991, -991, -991, -991, -991, -990,
346                    -990, -990, -990, -990, -990, -990, -989, -989, -989, -989, -989, -989, -989, -988,
347                    -988, -988, -988, -988, -988, -987, -987, -987, -987, -987, -987, -986, -986, -986,
348                    -986, -986, -986, -985, -985, -985, -985, -985, -985, -984, -984, -984, -984, -984,
349                    -984, -983, -983, -983, -983, -983, -982, -982, -982, -982, -982, -982, -981, -981,
350                    -981, -981, -981, -980, -980, -980, -980, -980, -979, -979, -979, -979, -979, -978,
351                    -978, -978, -978, -977, -977, -977, -977, -977, -976, -976, -976, -976, -976, -975,
352                    -975, -975, -975, -974, -974, -974, -974, -974, -973, -973, -973, -973, -972, -972,
353                    -972, -972, -971, -971, -971, -971, -970, -970, -970, -970, -970, -969, -969, -969,
354                    -969, -968, -968, -968, -968, -967, -967, -967, -966, -966, -966, -966, -965, -965,
355                    -965, -965, -964, -964, -964, -964, -963, -963, -963, -963, -962, -962, -962, -961,
356                    -961, -961, -961, -960, -960, -960, -959, -959, -959, -959, -958, -958, -958, -957,
357                    -957, -957, -957, -956, -956, -956, -955, -955, -955, -955, -954, -954, -954, -953,
358                    -953, -953, -952, -952, -952, -952, -951, -951, -951, -950, -950, -950, -949, -949,
359                    -949, -948, -948, -948, -947, -947, -947, -946, -946, -946, -946, -945, -945, -945,
360                    -944, -944, -944, -943, -943, -943, -942, -942, -942, -941, -941, -941, -940, -940,
361                    -940, -939, -939, -938, -938, -938, -937, -937, -937, -936, -936, -936, -935, -935,
362                    -935, -934, -934, -934, -933, -933, -932, -932, -932, -931, -931, -931, -930, -930,
363                    -930, -929, -929, -928, -928, -928, -927, -927, -927, -926, -926, -925, -925, -925,
364                    -924, -924, -924, -923, -923, -922, -922, -922, -921, -921, -920, -920, -920, -919,
365                    -919, -918, -918, -918, -917, -917, -916, -916, -916, -915, -915, -914, -914, -914,
366                    -913, -913, -912, -912, -912, -911, -911, -910, -910, -910, -909, -909, -908, -908,
367                    -907, -907, -907, -906, -906, -905, -905, -904, -904, -904, -903, -903, -902, -902,
368                    -901, -901, -901, -900, -900, -899, -899, -898, -898, -898, -897, -897, -896, -896,
369                    -895, -895, -894, -894, -894, -893, -893, -892, -892, -891, -891, -890, -890, -889,
370                    -889, -889, -888, -888, -887, -887, -886, -886, -885, -885, -884, -884, -883, -883,
371                    -883, -882, -882, -881, -881, -880, -880, -879, -879, -878, -878, -877, -877, -876,
372                    -876, -875, -875, -874, -874, -873, -873, -872, -872, -871, -871, -870, -870, -869,
373                    -869, -869, -868, -868, -867, -867, -866, -866, -865, -865, -864, -864, -863, -862,
374                    -862, -861, -861, -860, -860, -859, -859, -858, -858, -857, -857, -856, -856, -855,
375                    -855, -854, -854, -853, -853, -852, -852, -851, -851, -850, -850, -849, -849, -848,
376                    -847, -847, -846, -846, -845, -845, -844, -844, -843, -843, -842, -842, -841, -840,
377                    -840, -839, -839, -838, -838, -837, -837, -836, -836, -835, -834, -834, -833, -833,
378                    -832, -832, -831, -831, -830, -829, -829, -828, -828, -827, -827, -826, -826, -825,
379                    -824, -824, -823, -823, -822, -822, -821, -820, -820, -819, -819, -818, -818, -817,
380                    -816, -816, -815, -815, -814, -814, -813, -812, -812, -811, -811, -810, -809, -809,
381                    -808, -808, -807, -806, -806, -805, -805, -804, -804, -803, -802, -802, -801, -801,
382                    -800, -799, -799, -798, -798, -797, -796, -796, -795, -795, -794, -793, -793, -792,
383                    -791, -791, -790, -790, -789, -788, -788, -787, -787, -786, -785, -785, -784, -783,
384                    -783, -782, -782, -781, -780, -780, -779, -778, -778, -777, -777, -776, -775, -775,
385                    -774, -773, -773, -772, -771, -771, -770, -770, -769, -768, -768, -767, -766, -766,
386                    -765, -764, -764, -763, -763, -762, -761, -761, -760, -759, -759, -758, -757, -757,
387                    -756, -755, -755, -754, -753, -753, -752, -751, -751, -750, -749, -749, -748, -747,
388                    -747, -746, -745, -745, -744, -743, -743, -742, -741, -741, -740, -739, -739, -738,
389                    -737, -737, -736, -735, -735, -734, -733, -733, -732, -731, -731, -730, -729, -729,
390                    -728, -727, -726, -726, -725, -724, -724, -723, -722, -722, -721, -720, -720, -719,
391                    -718, -717, -717, -716, -715, -715, -714, -713, -713, -712, -711, -710, -710, -709,
392                    -708, -708, -707, -706, -706, -705, -704, -703, -703, -702, -701, -701, -700, -699,
393                    -698, -698, -697, -696, -696, -695, -694, -693, -693, -692, -691, -691, -690, -689,
394                    -688, -688, -687, -686, -685, -685, -684, -683, -683, -682, -681, -680, -680, -679,
395                    -678, -677, -677, -676, -675, -674, -674, -673, -672, -671, -671, -670, -669, -668,
396                    -668, -667, -666, -666, -665, -664, -663, -663, -662, -661, -660, -660, -659, -658,
397                    -657, -657, -656, -655, -654, -653, -653, -652, -651, -650, -650, -649, -648, -647,
398                    -647, -646, -645, -644, -644, -643, -642, -641, -641, -640, -639, -638, -637, -637,
399                    -636, -635, -634, -634, -633, -632, -631, -630, -630, -629, -628, -627, -627, -626,
400                    -625, -624, -623, -623, -622, -621, -620, -620, -619, -618, -617, -616, -616, -615,
401                    -614, -613, -612, -612, -611, -610, -609, -609, -608, -607, -606, -605, -605, -604,
402                    -603, -602, -601, -601, -600, -599, -598, -597, -597, -596, -595, -594, -593, -593,
403                    -592, -591, -590, -589, -588, -588, -587, -586, -585, -584, -584, -583, -582, -581,
404                    -580, -580, -579, -578, -577, -576, -575, -575, -574, -573, -572, -571, -571, -570,
405                    -569, -568, -567, -566, -566, -565, -564, -563, -562, -561, -561, -560, -559, -558,
406                    -557, -557, -556, -555, -554, -553, -552, -552, -551, -550, -549, -548, -547, -547,
407                    -546, -545, -544, -543, -542, -541, -541, -540, -539, -538, -537, -536, -536, -535,
408                    -534, -533, -532, -531, -530, -530, -529, -528, -527, -526, -525, -525, -524, -523,
409                    -522, -521, -520, -519, -519, -518, -517, -516, -515, -514, -513, -513, -512, -511,
410                    -510, -509, -508, -507, -507, -506, -505, -504, -503, -502, -501, -501, -500, -499,
411                    -498, -497, -496, -495, -494, -494, -493, -492, -491, -490, -489, -488, -487, -487,
412                    -486, -485, -484, -483, -482, -481, -480, -480, -479, -478, -477, -476, -475, -474,
413                    -473, -473, -472, -471, -470, -469, -468, -467, -466, -465, -465, -464, -463, -462,
414                    -461, -460, -459, -458, -458, -457, -456, -455, -454, -453, -452, -451, -450, -449,
415                    -449, -448, -447, -446, -445, -444, -443, -442, -441, -441, -440, -439, -438, -437,
416                    -436, -435, -434, -433, -432, -432, -431, -430, -429, -428, -427, -426, -425, -424,
417                    -423, -422, -422, -421, -420, -419, -418, -417, -416, -415, -414, -413, -412, -412,
418                    -411, -410, -409, -408, -407, -406, -405, -404, -403, -402, -402, -401, -400, -399,
419                    -398, -397, -396, -395, -394, -393, -392, -391, -391, -390, -389, -388, -387, -386,
420                    -385, -384, -383, -382, -381, -380, -379, -379, -378, -377, -376, -375, -374, -373,
421                    -372, -371, -370, -369, -368, -367, -366, -366, -365, -364, -363, -362, -361, -360,
422                    -359, -358, -357, -356, -355, -354, -353, -352, -352, -351, -350, -349, -348, -347,
423                    -346, -345, -344, -343, -342, -341, -340, -339, -338, -337, -336, -336, -335, -334,
424                    -333, -332, -331, -330, -329, -328, -327, -326, -325, -324, -323, -322, -321, -320,
425                    -319, -319, -318, -317, -316, -315, -314, -313, -312, -311, -310, -309, -308, -307,
426                    -306, -305, -304, -303, -302, -301, -300, -300, -299, -298, -297, -296, -295, -294,
427                    -293, -292, -291, -290, -289, -288, -287, -286, -285, -284, -283, -282, -281, -280,
428                    -279, -278, -277, -277, -276, -275, -274, -273, -272, -271, -270, -269, -268, -267,
429                    -266, -265, -264, -263, -262, -261, -260, -259, -258, -257, -256, -255, -254, -253,
430                    -252, -251, -250, -250, -249, -248, -247, -246, -245, -244, -243, -242, -241, -240,
431                    -239, -238, -237, -236, -235, -234, -233, -232, -231, -230, -229, -228, -227, -226,
432                    -225, -224, -223, -222, -221, -220, -219, -218, -217, -216, -215, -215, -214, -213,
433                    -212, -211, -210, -209, -208, -207, -206, -205, -204, -203, -202, -201, -200, -199,
434                    -198, -197, -196, -195, -194, -193, -192, -191, -190, -189, -188, -187, -186, -185,
435                    -184, -183, -182, -181, -180, -179, -178, -177, -176, -175, -174, -173, -172, -171,
436                    -170, -169, -168, -167, -166, -165, -164, -163, -162, -161, -160, -160, -159, -158,
437                    -157, -156, -155, -154, -153, -152, -151, -150, -149, -148, -147, -146, -145, -144,
438                    -143, -142, -141, -140, -139, -138, -137, -136, -135, -134, -133, -132, -131, -130,
439                    -129, -128, -127, -126, -125, -124, -123, -122, -121, -120, -119, -118, -117, -116,
440                    -115, -114, -113, -112, -111, -110, -109, -108, -107, -106, -105, -104, -103, -102,
441                    -101, -100, -99, -98, -97, -96, -95, -94, -93, -92, -91, -90, -89, -88, -87, -86,
442                    -85, -84, -83, -82, -81, -80, -79, -78, -77, -76, -75, -74, -73, -72, -71, -70,
443                    -69, -68, -67, -66, -65, -64, -63, -62, -61, -60, -59, -58, -57, -56, -55, -54,
444                    -53, -52, -51, -50, -49, -48, -47, -46, -45, -44, -43, -42, -41, -40, -39, -38,
445                    -37, -36, -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22,
446                    -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4,
447                    -3, -2, -1,
448                ]
449            },
450            cosine_array: {
451                [
452                    1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000,
453                    1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000,
454                    1000, 1000, 1000, 1000, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999,
455                    999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 998, 998, 998, 998, 998,
456                    998, 998, 998, 998, 998, 998, 998, 998, 998, 998, 998, 997, 997, 997, 997, 997,
457                    997, 997, 997, 997, 997, 997, 997, 997, 996, 996, 996, 996, 996, 996, 996, 996,
458                    996, 996, 996, 995, 995, 995, 995, 995, 995, 995, 995, 995, 995, 994, 994, 994,
459                    994, 994, 994, 994, 994, 994, 994, 993, 993, 993, 993, 993, 993, 993, 993, 992,
460                    992, 992, 992, 992, 992, 992, 992, 991, 991, 991, 991, 991, 991, 991, 990, 990,
461                    990, 990, 990, 990, 990, 990, 989, 989, 989, 989, 989, 989, 988, 988, 988, 988,
462                    988, 988, 988, 987, 987, 987, 987, 987, 987, 986, 986, 986, 986, 986, 986, 985,
463                    985, 985, 985, 985, 985, 984, 984, 984, 984, 984, 983, 983, 983, 983, 983, 983,
464                    982, 982, 982, 982, 982, 981, 981, 981, 981, 981, 980, 980, 980, 980, 980, 979,
465                    979, 979, 979, 979, 978, 978, 978, 978, 978, 977, 977, 977, 977, 977, 976, 976,
466                    976, 976, 975, 975, 975, 975, 975, 974, 974, 974, 974, 973, 973, 973, 973, 973,
467                    972, 972, 972, 972, 971, 971, 971, 971, 970, 970, 970, 970, 969, 969, 969, 969,
468                    968, 968, 968, 968, 967, 967, 967, 967, 966, 966, 966, 966, 965, 965, 965, 965,
469                    964, 964, 964, 964, 963, 963, 963, 962, 962, 962, 962, 961, 961, 961, 961, 960,
470                    960, 960, 959, 959, 959, 959, 958, 958, 958, 957, 957, 957, 957, 956, 956, 956,
471                    955, 955, 955, 954, 954, 954, 954, 953, 953, 953, 952, 952, 952, 951, 951, 951,
472                    950, 950, 950, 950, 949, 949, 949, 948, 948, 948, 947, 947, 947, 946, 946, 946,
473                    945, 945, 945, 944, 944, 944, 943, 943, 943, 942, 942, 942, 941, 941, 941, 940,
474                    940, 940, 939, 939, 939, 938, 938, 938, 937, 937, 937, 936, 936, 936, 935, 935,
475                    934, 934, 934, 933, 933, 933, 932, 932, 932, 931, 931, 931, 930, 930, 929, 929,
476                    929, 928, 928, 928, 927, 927, 926, 926, 926, 925, 925, 925, 924, 924, 923, 923,
477                    923, 922, 922, 921, 921, 921, 920, 920, 919, 919, 919, 918, 918, 918, 917, 917,
478                    916, 916, 916, 915, 915, 914, 914, 913, 913, 913, 912, 912, 911, 911, 911, 910,
479                    910, 909, 909, 909, 908, 908, 907, 907, 906, 906, 906, 905, 905, 904, 904, 903,
480                    903, 903, 902, 902, 901, 901, 900, 900, 900, 899, 899, 898, 898, 897, 897, 896,
481                    896, 896, 895, 895, 894, 894, 893, 893, 892, 892, 892, 891, 891, 890, 890, 889,
482                    889, 888, 888, 887, 887, 887, 886, 886, 885, 885, 884, 884, 883, 883, 882, 882,
483                    881, 881, 880, 880, 879, 879, 879, 878, 878, 877, 877, 876, 876, 875, 875, 874,
484                    874, 873, 873, 872, 872, 871, 871, 870, 870, 869, 869, 868, 868, 867, 867, 866,
485                    866, 865, 865, 864, 864, 863, 863, 862, 862, 861, 861, 860, 860, 859, 859, 858,
486                    858, 857, 857, 856, 856, 855, 855, 854, 854, 853, 853, 852, 851, 851, 850, 850,
487                    849, 849, 848, 848, 847, 847, 846, 846, 845, 845, 844, 844, 843, 842, 842, 841,
488                    841, 840, 840, 839, 839, 838, 838, 837, 836, 836, 835, 835, 834, 834, 833, 833,
489                    832, 831, 831, 830, 830, 829, 829, 828, 828, 827, 826, 826, 825, 825, 824, 824,
490                    823, 823, 822, 821, 821, 820, 820, 819, 819, 818, 817, 817, 816, 816, 815, 814,
491                    814, 813, 813, 812, 812, 811, 810, 810, 809, 809, 808, 807, 807, 806, 806, 805,
492                    804, 804, 803, 803, 802, 801, 801, 800, 800, 799, 798, 798, 797, 797, 796, 795,
493                    795, 794, 794, 793, 792, 792, 791, 791, 790, 789, 789, 788, 788, 787, 786, 786,
494                    785, 784, 784, 783, 783, 782, 781, 781, 780, 779, 779, 778, 778, 777, 776, 776,
495                    775, 774, 774, 773, 773, 772, 771, 771, 770, 769, 769, 768, 767, 767, 766, 765,
496                    765, 764, 764, 763, 762, 762, 761, 760, 760, 759, 758, 758, 757, 756, 756, 755,
497                    754, 754, 753, 752, 752, 751, 750, 750, 749, 748, 748, 747, 747, 746, 745, 745,
498                    744, 743, 743, 742, 741, 740, 740, 739, 738, 738, 737, 736, 736, 735, 734, 734,
499                    733, 732, 732, 731, 730, 730, 729, 728, 728, 727, 726, 726, 725, 724, 723, 723,
500                    722, 721, 721, 720, 719, 719, 718, 717, 717, 716, 715, 714, 714, 713, 712, 712,
501                    711, 710, 710, 709, 708, 707, 707, 706, 705, 705, 704, 703, 702, 702, 701, 700,
502                    700, 699, 698, 697, 697, 696, 695, 695, 694, 693, 692, 692, 691, 690, 689, 689,
503                    688, 687, 687, 686, 685, 684, 684, 683, 682, 681, 681, 680, 679, 679, 678, 677,
504                    676, 676, 675, 674, 673, 673, 672, 671, 670, 670, 669, 668, 667, 667, 666, 665,
505                    664, 664, 663, 662, 661, 661, 660, 659, 658, 658, 657, 656, 655, 655, 654, 653,
506                    652, 652, 651, 650, 649, 649, 648, 647, 646, 646, 645, 644, 643, 643, 642, 641,
507                    640, 639, 639, 638, 637, 636, 636, 635, 634, 633, 633, 632, 631, 630, 629, 629,
508                    628, 627, 626, 626, 625, 624, 623, 622, 622, 621, 620, 619, 618, 618, 617, 616,
509                    615, 615, 614, 613, 612, 611, 611, 610, 609, 608, 607, 607, 606, 605, 604, 603,
510                    603, 602, 601, 600, 599, 599, 598, 597, 596, 595, 595, 594, 593, 592, 591, 591,
511                    590, 589, 588, 587, 587, 586, 585, 584, 583, 582, 582, 581, 580, 579, 578, 578,
512                    577, 576, 575, 574, 574, 573, 572, 571, 570, 569, 569, 568, 567, 566, 565, 564,
513                    564, 563, 562, 561, 560, 560, 559, 558, 557, 556, 555, 555, 554, 553, 552, 551,
514                    550, 550, 549, 548, 547, 546, 545, 545, 544, 543, 542, 541, 540, 539, 539, 538,
515                    537, 536, 535, 534, 534, 533, 532, 531, 530, 529, 528, 528, 527, 526, 525, 524,
516                    523, 523, 522, 521, 520, 519, 518, 517, 517, 516, 515, 514, 513, 512, 511, 511,
517                    510, 509, 508, 507, 506, 505, 504, 504, 503, 502, 501, 500, 499, 498, 498, 497,
518                    496, 495, 494, 493, 492, 491, 491, 490, 489, 488, 487, 486, 485, 485, 484, 483,
519                    482, 481, 480, 479, 478, 477, 477, 476, 475, 474, 473, 472, 471, 470, 470, 469,
520                    468, 467, 466, 465, 464, 463, 462, 462, 461, 460, 459, 458, 457, 456, 455, 454,
521                    454, 453, 452, 451, 450, 449, 448, 447, 446, 446, 445, 444, 443, 442, 441, 440,
522                    439, 438, 437, 437, 436, 435, 434, 433, 432, 431, 430, 429, 428, 428, 427, 426,
523                    425, 424, 423, 422, 421, 420, 419, 419, 418, 417, 416, 415, 414, 413, 412, 411,
524                    410, 409, 408, 408, 407, 406, 405, 404, 403, 402, 401, 400, 399, 398, 398, 397,
525                    396, 395, 394, 393, 392, 391, 390, 389, 388, 387, 386, 386, 385, 384, 383, 382,
526                    381, 380, 379, 378, 377, 376, 375, 374, 374, 373, 372, 371, 370, 369, 368, 367,
527                    366, 365, 364, 363, 362, 361, 360, 360, 359, 358, 357, 356, 355, 354, 353, 352,
528                    351, 350, 349, 348, 347, 346, 346, 345, 344, 343, 342, 341, 340, 339, 338, 337,
529                    336, 335, 334, 333, 332, 331, 330, 330, 329, 328, 327, 326, 325, 324, 323, 322,
530                    321, 320, 319, 318, 317, 316, 315, 314, 313, 312, 312, 311, 310, 309, 308, 307,
531                    306, 305, 304, 303, 302, 301, 300, 299, 298, 297, 296, 295, 294, 293, 292, 292,
532                    291, 290, 289, 288, 287, 286, 285, 284, 283, 282, 281, 280, 279, 278, 277, 276,
533                    275, 274, 273, 272, 271, 270, 269, 268, 267, 267, 266, 265, 264, 263, 262, 261,
534                    260, 259, 258, 257, 256, 255, 254, 253, 252, 251, 250, 249, 248, 247, 246, 245,
535                    244, 243, 242, 241, 240, 239, 238, 238, 237, 236, 235, 234, 233, 232, 231, 230,
536                    229, 228, 227, 226, 225, 224, 223, 222, 221, 220, 219, 218, 217, 216, 215, 214,
537                    213, 212, 211, 210, 209, 208, 207, 206, 205, 204, 203, 202, 201, 200, 199, 198,
538                    197, 197, 196, 195, 194, 193, 192, 191, 190, 189, 188, 187, 186, 185, 184, 183,
539                    182, 181, 180, 179, 178, 177, 176, 175, 174, 173, 172, 171, 170, 169, 168, 167,
540                    166, 165, 164, 163, 162, 161, 160, 159, 158, 157, 156, 155, 154, 153, 152, 151,
541                    150, 149, 148, 147, 146, 145, 144, 143, 142, 141, 140, 139, 138, 137, 136, 135,
542                    134, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 121, 120,
543                    119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104,
544                    103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84,
545                    83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64,
546                    63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44,
547                    43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24,
548                    23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2,
549                    1, -0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16,
550                    -17, -18, -19, -20, -21, -22, -23, -24, -25, -26, -27, -28, -29, -30, -31, -32,
551                    -33, -34, -35, -36, -37, -38, -39, -40, -41, -42, -43, -44, -45, -46, -47, -48,
552                    -49, -50, -51, -52, -53, -54, -55, -56, -57, -58, -59, -60, -61, -62, -63, -64,
553                    -65, -66, -67, -68, -69, -70, -71, -72, -73, -74, -75, -76, -77, -78, -79, -80,
554                    -81, -82, -83, -84, -85, -86, -87, -88, -89, -90, -91, -92, -93, -94, -95, -96,
555                    -97, -98, -99, -100, -101, -102, -103, -104, -105, -106, -107, -108, -109, -110,
556                    -111, -112, -113, -114, -115, -116, -117, -118, -119, -120, -121, -122, -123, -124,
557                    -125, -126, -127, -128, -129, -130, -131, -132, -133, -134, -135, -136, -137, -138,
558                    -139, -140, -141, -142, -143, -144, -145, -146, -147, -148, -149, -150, -151, -152,
559                    -153, -154, -155, -156, -157, -158, -159, -160, -161, -161, -162, -163, -164, -165,
560                    -166, -167, -168, -169, -170, -171, -172, -173, -174, -175, -176, -177, -178, -179,
561                    -180, -181, -182, -183, -184, -185, -186, -187, -188, -189, -190, -191, -192, -193,
562                    -194, -195, -196, -197, -198, -199, -200, -201, -202, -203, -204, -205, -206, -207,
563                    -208, -209, -210, -211, -212, -213, -214, -215, -215, -216, -217, -218, -219, -220,
564                    -221, -222, -223, -224, -225, -226, -227, -228, -229, -230, -231, -232, -233, -234,
565                    -235, -236, -237, -238, -239, -240, -241, -242, -243, -244, -245, -246, -247, -248,
566                    -249, -250, -251, -251, -252, -253, -254, -255, -256, -257, -258, -259, -260, -261,
567                    -262, -263, -264, -265, -266, -267, -268, -269, -270, -271, -272, -273, -274, -275,
568                    -276, -277, -278, -278, -279, -280, -281, -282, -283, -284, -285, -286, -287, -288,
569                    -289, -290, -291, -292, -293, -294, -295, -296, -297, -298, -299, -300, -300, -301,
570                    -302, -303, -304, -305, -306, -307, -308, -309, -310, -311, -312, -313, -314, -315,
571                    -316, -317, -318, -319, -320, -320, -321, -322, -323, -324, -325, -326, -327, -328,
572                    -329, -330, -331, -332, -333, -334, -335, -336, -337, -337, -338, -339, -340, -341,
573                    -342, -343, -344, -345, -346, -347, -348, -349, -350, -351, -352, -352, -353, -354,
574                    -355, -356, -357, -358, -359, -360, -361, -362, -363, -364, -365, -366, -366, -367,
575                    -368, -369, -370, -371, -372, -373, -374, -375, -376, -377, -378, -379, -379, -380,
576                    -381, -382, -383, -384, -385, -386, -387, -388, -389, -390, -391, -391, -392, -393,
577                    -394, -395, -396, -397, -398, -399, -400, -401, -402, -402, -403, -404, -405, -406,
578                    -407, -408, -409, -410, -411, -412, -413, -413, -414, -415, -416, -417, -418, -419,
579                    -420, -421, -422, -423, -423, -424, -425, -426, -427, -428, -429, -430, -431, -432,
580                    -432, -433, -434, -435, -436, -437, -438, -439, -440, -441, -441, -442, -443, -444,
581                    -445, -446, -447, -448, -449, -449, -450, -451, -452, -453, -454, -455, -456, -457,
582                    -458, -458, -459, -460, -461, -462, -463, -464, -465, -466, -466, -467, -468, -469,
583                    -470, -471, -472, -473, -473, -474, -475, -476, -477, -478, -479, -480, -480, -481,
584                    -482, -483, -484, -485, -486, -487, -487, -488, -489, -490, -491, -492, -493, -494,
585                    -494, -495, -496, -497, -498, -499, -500, -501, -501, -502, -503, -504, -505, -506,
586                    -507, -507, -508, -509, -510, -511, -512, -513, -513, -514, -515, -516, -517, -518,
587                    -519, -519, -520, -521, -522, -523, -524, -525, -525, -526, -527, -528, -529, -530,
588                    -531, -531, -532, -533, -534, -535, -536, -536, -537, -538, -539, -540, -541, -541,
589                    -542, -543, -544, -545, -546, -547, -547, -548, -549, -550, -551, -552, -552, -553,
590                    -554, -555, -556, -557, -557, -558, -559, -560, -561, -562, -562, -563, -564, -565,
591                    -566, -566, -567, -568, -569, -570, -571, -571, -572, -573, -574, -575, -575, -576,
592                    -577, -578, -579, -580, -580, -581, -582, -583, -584, -584, -585, -586, -587, -588,
593                    -589, -589, -590, -591, -592, -593, -593, -594, -595, -596, -597, -597, -598, -599,
594                    -600, -601, -601, -602, -603, -604, -605, -605, -606, -607, -608, -609, -609, -610,
595                    -611, -612, -612, -613, -614, -615, -616, -616, -617, -618, -619, -620, -620, -621,
596                    -622, -623, -623, -624, -625, -626, -627, -627, -628, -629, -630, -631, -631, -632,
597                    -633, -634, -634, -635, -636, -637, -637, -638, -639, -640, -641, -641, -642, -643,
598                    -644, -644, -645, -646, -647, -647, -648, -649, -650, -650, -651, -652, -653, -654,
599                    -654, -655, -656, -657, -657, -658, -659, -660, -660, -661, -662, -663, -663, -664,
600                    -665, -666, -666, -667, -668, -669, -669, -670, -671, -671, -672, -673, -674, -674,
601                    -675, -676, -677, -677, -678, -679, -680, -680, -681, -682, -683, -683, -684, -685,
602                    -685, -686, -687, -688, -688, -689, -690, -691, -691, -692, -693, -693, -694, -695,
603                    -696, -696, -697, -698, -698, -699, -700, -701, -701, -702, -703, -703, -704, -705,
604                    -706, -706, -707, -708, -708, -709, -710, -710, -711, -712, -713, -713, -714, -715,
605                    -715, -716, -717, -717, -718, -719, -720, -720, -721, -722, -722, -723, -724, -724,
606                    -725, -726, -726, -727, -728, -729, -729, -730, -731, -731, -732, -733, -733, -734,
607                    -735, -735, -736, -737, -737, -738, -739, -739, -740, -741, -741, -742, -743, -743,
608                    -744, -745, -745, -746, -747, -747, -748, -749, -749, -750, -751, -751, -752, -753,
609                    -753, -754, -755, -755, -756, -757, -757, -758, -759, -759, -760, -761, -761, -762,
610                    -763, -763, -764, -764, -765, -766, -766, -767, -768, -768, -769, -770, -770, -771,
611                    -772, -772, -773, -773, -774, -775, -775, -776, -777, -777, -778, -778, -779, -780,
612                    -780, -781, -782, -782, -783, -783, -784, -785, -785, -786, -787, -787, -788, -788,
613                    -789, -790, -790, -791, -791, -792, -793, -793, -794, -795, -795, -796, -796, -797,
614                    -798, -798, -799, -799, -800, -801, -801, -802, -802, -803, -804, -804, -805, -805,
615                    -806, -806, -807, -808, -808, -809, -809, -810, -811, -811, -812, -812, -813, -814,
616                    -814, -815, -815, -816, -816, -817, -818, -818, -819, -819, -820, -820, -821, -822,
617                    -822, -823, -823, -824, -824, -825, -826, -826, -827, -827, -828, -828, -829, -829,
618                    -830, -831, -831, -832, -832, -833, -833, -834, -834, -835, -836, -836, -837, -837,
619                    -838, -838, -839, -839, -840, -840, -841, -842, -842, -843, -843, -844, -844, -845,
620                    -845, -846, -846, -847, -847, -848, -849, -849, -850, -850, -851, -851, -852, -852,
621                    -853, -853, -854, -854, -855, -855, -856, -856, -857, -857, -858, -858, -859, -859,
622                    -860, -860, -861, -861, -862, -863, -863, -864, -864, -865, -865, -866, -866, -867,
623                    -867, -868, -868, -869, -869, -870, -870, -870, -871, -871, -872, -872, -873, -873,
624                    -874, -874, -875, -875, -876, -876, -877, -877, -878, -878, -879, -879, -880, -880,
625                    -881, -881, -882, -882, -883, -883, -883, -884, -884, -885, -885, -886, -886, -887,
626                    -887, -888, -888, -889, -889, -889, -890, -890, -891, -891, -892, -892, -893, -893,
627                    -894, -894, -894, -895, -895, -896, -896, -897, -897, -898, -898, -898, -899, -899,
628                    -900, -900, -901, -901, -901, -902, -902, -903, -903, -904, -904, -904, -905, -905,
629                    -906, -906, -907, -907, -907, -908, -908, -909, -909, -910, -910, -910, -911, -911,
630                    -912, -912, -912, -913, -913, -914, -914, -914, -915, -915, -916, -916, -916, -917,
631                    -917, -918, -918, -918, -919, -919, -920, -920, -920, -921, -921, -922, -922, -922,
632                    -923, -923, -924, -924, -924, -925, -925, -925, -926, -926, -927, -927, -927, -928,
633                    -928, -928, -929, -929, -930, -930, -930, -931, -931, -931, -932, -932, -932, -933,
634                    -933, -934, -934, -934, -935, -935, -935, -936, -936, -936, -937, -937, -937, -938,
635                    -938, -938, -939, -939, -940, -940, -940, -941, -941, -941, -942, -942, -942, -943,
636                    -943, -943, -944, -944, -944, -945, -945, -945, -946, -946, -946, -946, -947, -947,
637                    -947, -948, -948, -948, -949, -949, -949, -950, -950, -950, -951, -951, -951, -952,
638                    -952, -952, -952, -953, -953, -953, -954, -954, -954, -955, -955, -955, -955, -956,
639                    -956, -956, -957, -957, -957, -957, -958, -958, -958, -959, -959, -959, -959, -960,
640                    -960, -960, -961, -961, -961, -961, -962, -962, -962, -963, -963, -963, -963, -964,
641                    -964, -964, -964, -965, -965, -965, -965, -966, -966, -966, -966, -967, -967, -967,
642                    -968, -968, -968, -968, -969, -969, -969, -969, -970, -970, -970, -970, -970, -971,
643                    -971, -971, -971, -972, -972, -972, -972, -973, -973, -973, -973, -974, -974, -974,
644                    -974, -974, -975, -975, -975, -975, -976, -976, -976, -976, -976, -977, -977, -977,
645                    -977, -977, -978, -978, -978, -978, -979, -979, -979, -979, -979, -980, -980, -980,
646                    -980, -980, -981, -981, -981, -981, -981, -982, -982, -982, -982, -982, -982, -983,
647                    -983, -983, -983, -983, -984, -984, -984, -984, -984, -984, -985, -985, -985, -985,
648                    -985, -985, -986, -986, -986, -986, -986, -986, -987, -987, -987, -987, -987, -987,
649                    -988, -988, -988, -988, -988, -988, -989, -989, -989, -989, -989, -989, -989, -990,
650                    -990, -990, -990, -990, -990, -990, -991, -991, -991, -991, -991, -991, -991, -991,
651                    -992, -992, -992, -992, -992, -992, -992, -992, -993, -993, -993, -993, -993, -993,
652                    -993, -993, -994, -994, -994, -994, -994, -994, -994, -994, -994, -995, -995, -995,
653                    -995, -995, -995, -995, -995, -995, -995, -996, -996, -996, -996, -996, -996, -996,
654                    -996, -996, -996, -996, -997, -997, -997, -997, -997, -997, -997, -997, -997, -997,
655                    -997, -997, -997, -998, -998, -998, -998, -998, -998, -998, -998, -998, -998, -998,
656                    -998, -998, -998, -998, -998, -999, -999, -999, -999, -999, -999, -999, -999, -999,
657                    -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999,
658                    -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000,
659                    -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000,
660                    -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000,
661                    -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000,
662                    -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000, -1000,
663                    -1000, -1000, -1000, -1000, -999, -999, -999, -999, -999, -999, -999, -999,
664                    -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999, -999,
665                    -999, -998, -998, -998, -998, -998, -998, -998, -998, -998, -998, -998, -998, -998,
666                    -998, -998, -998, -997, -997, -997, -997, -997, -997, -997, -997, -997, -997, -997,
667                    -997, -997, -996, -996, -996, -996, -996, -996, -996, -996, -996, -996, -996, -995,
668                    -995, -995, -995, -995, -995, -995, -995, -995, -995, -994, -994, -994, -994, -994,
669                    -994, -994, -994, -994, -993, -993, -993, -993, -993, -993, -993, -993, -993, -992,
670                    -992, -992, -992, -992, -992, -992, -992, -991, -991, -991, -991, -991, -991, -991,
671                    -990, -990, -990, -990, -990, -990, -990, -989, -989, -989, -989, -989, -989, -989,
672                    -988, -988, -988, -988, -988, -988, -987, -987, -987, -987, -987, -987, -987, -986,
673                    -986, -986, -986, -986, -986, -985, -985, -985, -985, -985, -984, -984, -984, -984,
674                    -984, -984, -983, -983, -983, -983, -983, -982, -982, -982, -982, -982, -982, -981,
675                    -981, -981, -981, -981, -980, -980, -980, -980, -980, -979, -979, -979, -979, -979,
676                    -978, -978, -978, -978, -978, -977, -977, -977, -977, -976, -976, -976, -976, -976,
677                    -975, -975, -975, -975, -974, -974, -974, -974, -974, -973, -973, -973, -973, -972,
678                    -972, -972, -972, -971, -971, -971, -971, -971, -970, -970, -970, -970, -969, -969,
679                    -969, -969, -968, -968, -968, -968, -967, -967, -967, -967, -966, -966, -966, -966,
680                    -965, -965, -965, -964, -964, -964, -964, -963, -963, -963, -963, -962, -962, -962,
681                    -961, -961, -961, -961, -960, -960, -960, -960, -959, -959, -959, -958, -958, -958,
682                    -958, -957, -957, -957, -956, -956, -956, -956, -955, -955, -955, -954, -954, -954,
683                    -953, -953, -953, -953, -952, -952, -952, -951, -951, -951, -950, -950, -950, -949,
684                    -949, -949, -948, -948, -948, -948, -947, -947, -947, -946, -946, -946, -945, -945,
685                    -945, -944, -944, -944, -943, -943, -943, -942, -942, -942, -941, -941, -941, -940,
686                    -940, -940, -939, -939, -939, -938, -938, -938, -937, -937, -936, -936, -936, -935,
687                    -935, -935, -934, -934, -934, -933, -933, -933, -932, -932, -931, -931, -931, -930,
688                    -930, -930, -929, -929, -929, -928, -928, -927, -927, -927, -926, -926, -926, -925,
689                    -925, -924, -924, -924, -923, -923, -922, -922, -922, -921, -921, -921, -920, -920,
690                    -919, -919, -919, -918, -918, -917, -917, -917, -916, -916, -915, -915, -915, -914,
691                    -914, -913, -913, -913, -912, -912, -911, -911, -910, -910, -910, -909, -909, -908,
692                    -908, -908, -907, -907, -906, -906, -905, -905, -905, -904, -904, -903, -903, -902,
693                    -902, -902, -901, -901, -900, -900, -899, -899, -899, -898, -898, -897, -897, -896,
694                    -896, -895, -895, -895, -894, -894, -893, -893, -892, -892, -891, -891, -890, -890,
695                    -890, -889, -889, -888, -888, -887, -887, -886, -886, -885, -885, -884, -884, -884,
696                    -883, -883, -882, -882, -881, -881, -880, -880, -879, -879, -878, -878, -877, -877,
697                    -876, -876, -875, -875, -874, -874, -874, -873, -873, -872, -872, -871, -871, -870,
698                    -870, -869, -869, -868, -868, -867, -867, -866, -866, -865, -865, -864, -864, -863,
699                    -863, -862, -862, -861, -861, -860, -860, -859, -859, -858, -857, -857, -856, -856,
700                    -855, -855, -854, -854, -853, -853, -852, -852, -851, -851, -850, -850, -849, -849,
701                    -848, -848, -847, -847, -846, -845, -845, -844, -844, -843, -843, -842, -842, -841,
702                    -841, -840, -840, -839, -838, -838, -837, -837, -836, -836, -835, -835, -834, -833,
703                    -833, -832, -832, -831, -831, -830, -830, -829, -828, -828, -827, -827, -826, -826,
704                    -825, -825, -824, -823, -823, -822, -822, -821, -821, -820, -819, -819, -818, -818,
705                    -817, -817, -816, -815, -815, -814, -814, -813, -812, -812, -811, -811, -810, -810,
706                    -809, -808, -808, -807, -807, -806, -805, -805, -804, -804, -803, -802, -802, -801,
707                    -801, -800, -799, -799, -798, -798, -797, -796, -796, -795, -795, -794, -793, -793,
708                    -792, -792, -791, -790, -790, -789, -789, -788, -787, -787, -786, -785, -785, -784,
709                    -784, -783, -782, -782, -781, -780, -780, -779, -779, -778, -777, -777, -776, -775,
710                    -775, -774, -774, -773, -772, -772, -771, -770, -770, -769, -768, -768, -767, -767,
711                    -766, -765, -765, -764, -763, -763, -762, -761, -761, -760, -759, -759, -758, -757,
712                    -757, -756, -755, -755, -754, -754, -753, -752, -752, -751, -750, -750, -749, -748,
713                    -748, -747, -746, -746, -745, -744, -744, -743, -742, -742, -741, -740, -740, -739,
714                    -738, -738, -737, -736, -735, -735, -734, -733, -733, -732, -731, -731, -730, -729,
715                    -729, -728, -727, -727, -726, -725, -725, -724, -723, -722, -722, -721, -720, -720,
716                    -719, -718, -718, -717, -716, -716, -715, -714, -713, -713, -712, -711, -711, -710,
717                    -709, -709, -708, -707, -706, -706, -705, -704, -704, -703, -702, -701, -701, -700,
718                    -699, -699, -698, -697, -696, -696, -695, -694, -694, -693, -692, -691, -691, -690,
719                    -689, -688, -688, -687, -686, -686, -685, -684, -683, -683, -682, -681, -680, -680,
720                    -679, -678, -678, -677, -676, -675, -675, -674, -673, -672, -672, -671, -670, -669,
721                    -669, -668, -667, -666, -666, -665, -664, -663, -663, -662, -661, -660, -660, -659,
722                    -658, -657, -657, -656, -655, -654, -654, -653, -652, -651, -651, -650, -649, -648,
723                    -648, -647, -646, -645, -645, -644, -643, -642, -641, -641, -640, -639, -638, -638,
724                    -637, -636, -635, -635, -634, -633, -632, -631, -631, -630, -629, -628, -628, -627,
725                    -626, -625, -624, -624, -623, -622, -621, -621, -620, -619, -618, -617, -617, -616,
726                    -615, -614, -613, -613, -612, -611, -610, -609, -609, -608, -607, -606, -605, -605,
727                    -604, -603, -602, -602, -601, -600, -599, -598, -598, -597, -596, -595, -594, -593,
728                    -593, -592, -591, -590, -589, -589, -588, -587, -586, -585, -585, -584, -583, -582,
729                    -581, -581, -580, -579, -578, -577, -576, -576, -575, -574, -573, -572, -572, -571,
730                    -570, -569, -568, -567, -567, -566, -565, -564, -563, -562, -562, -561, -560, -559,
731                    -558, -558, -557, -556, -555, -554, -553, -553, -552, -551, -550, -549, -548, -548,
732                    -547, -546, -545, -544, -543, -542, -542, -541, -540, -539, -538, -537, -537, -536,
733                    -535, -534, -533, -532, -532, -531, -530, -529, -528, -527, -526, -526, -525, -524,
734                    -523, -522, -521, -520, -520, -519, -518, -517, -516, -515, -514, -514, -513, -512,
735                    -511, -510, -509, -508, -508, -507, -506, -505, -504, -503, -502, -502, -501, -500,
736                    -499, -498, -497, -496, -495, -495, -494, -493, -492, -491, -490, -489, -489, -488,
737                    -487, -486, -485, -484, -483, -482, -482, -481, -480, -479, -478, -477, -476, -475,
738                    -474, -474, -473, -472, -471, -470, -469, -468, -467, -467, -466, -465, -464, -463,
739                    -462, -461, -460, -459, -459, -458, -457, -456, -455, -454, -453, -452, -451, -451,
740                    -450, -449, -448, -447, -446, -445, -444, -443, -443, -442, -441, -440, -439, -438,
741                    -437, -436, -435, -434, -434, -433, -432, -431, -430, -429, -428, -427, -426, -425,
742                    -424, -424, -423, -422, -421, -420, -419, -418, -417, -416, -415, -414, -414, -413,
743                    -412, -411, -410, -409, -408, -407, -406, -405, -404, -404, -403, -402, -401, -400,
744                    -399, -398, -397, -396, -395, -394, -393, -393, -392, -391, -390, -389, -388, -387,
745                    -386, -385, -384, -383, -382, -381, -381, -380, -379, -378, -377, -376, -375, -374,
746                    -373, -372, -371, -370, -369, -368, -368, -367, -366, -365, -364, -363, -362, -361,
747                    -360, -359, -358, -357, -356, -355, -355, -354, -353, -352, -351, -350, -349, -348,
748                    -347, -346, -345, -344, -343, -342, -341, -340, -340, -339, -338, -337, -336, -335,
749                    -334, -333, -332, -331, -330, -329, -328, -327, -326, -325, -324, -323, -323, -322,
750                    -321, -320, -319, -318, -317, -316, -315, -314, -313, -312, -311, -310, -309, -308,
751                    -307, -306, -305, -304, -304, -303, -302, -301, -300, -299, -298, -297, -296, -295,
752                    -294, -293, -292, -291, -290, -289, -288, -287, -286, -285, -284, -283, -282, -282,
753                    -281, -280, -279, -278, -277, -276, -275, -274, -273, -272, -271, -270, -269, -268,
754                    -267, -266, -265, -264, -263, -262, -261, -260, -259, -258, -257, -256, -256, -255,
755                    -254, -253, -252, -251, -250, -249, -248, -247, -246, -245, -244, -243, -242, -241,
756                    -240, -239, -238, -237, -236, -235, -234, -233, -232, -231, -230, -229, -228, -227,
757                    -226, -225, -224, -223, -223, -222, -221, -220, -219, -218, -217, -216, -215, -214,
758                    -213, -212, -211, -210, -209, -208, -207, -206, -205, -204, -203, -202, -201, -200,
759                    -199, -198, -197, -196, -195, -194, -193, -192, -191, -190, -189, -188, -187, -186,
760                    -185, -184, -183, -182, -181, -180, -179, -178, -177, -176, -175, -174, -174, -173,
761                    -172, -171, -170, -169, -168, -167, -166, -165, -164, -163, -162, -161, -160, -159,
762                    -158, -157, -156, -155, -154, -153, -152, -151, -150, -149, -148, -147, -146, -145,
763                    -144, -143, -142, -141, -140, -139, -138, -137, -136, -135, -134, -133, -132, -131,
764                    -130, -129, -128, -127, -126, -125, -124, -123, -122, -121, -120, -119, -118, -117,
765                    -116, -115, -114, -113, -112, -111, -110, -109, -108, -107, -106, -105, -104, -103,
766                    -102, -101, -100, -99, -98, -97, -96, -95, -94, -93, -92, -91, -90, -89, -88, -87,
767                    -86, -85, -84, -83, -82, -81, -80, -79, -78, -77, -76, -75, -74, -73, -72, -71,
768                    -70, -69, -68, -67, -66, -65, -64, -63, -62, -61, -60, -59, -58, -57, -56, -55,
769                    -54, -53, -52, -51, -50, -49, -48, -47, -46, -45, -44, -43, -42, -41, -40, -39,
770                    -38, -37, -36, -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24, -23,
771                    -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8, -7,
772                    -6, -5, -4, -3, -2, -1, -0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
773                    16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,
774                    36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55,
775                    56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75,
776                    76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 87, 88, 89, 90, 91, 92, 93, 94,
777                    95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112,
778                    113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128,
779                    129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144,
780                    145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160,
781                    161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176,
782                    177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 187, 188, 189, 190, 191,
783                    192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207,
784                    208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223,
785                    224, 225, 226, 227, 228, 229, 230, 231, 231, 232, 233, 234, 235, 236, 237, 238,
786                    239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254,
787                    255, 256, 257, 258, 259, 260, 261, 262, 262, 263, 264, 265, 266, 267, 268, 269,
788                    270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285,
789                    286, 287, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300,
790                    301, 302, 303, 304, 305, 306, 307, 308, 308, 309, 310, 311, 312, 313, 314, 315,
791                    316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 327, 328, 329, 330,
792                    331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 343, 344, 345,
793                    346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 358, 359, 360,
794                    361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 371, 372, 373, 374, 375,
795                    376, 377, 378, 379, 380, 381, 382, 383, 384, 384, 385, 386, 387, 388, 389, 390,
796                    391, 392, 393, 394, 395, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405,
797                    406, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 417, 418, 419,
798                    420, 421, 422, 423, 424, 425, 426, 426, 427, 428, 429, 430, 431, 432, 433, 434,
799                    435, 436, 436, 437, 438, 439, 440, 441, 442, 443, 444, 444, 445, 446, 447, 448,
800                    449, 450, 451, 452, 453, 453, 454, 455, 456, 457, 458, 459, 460, 461, 461, 462,
801                    463, 464, 465, 466, 467, 468, 469, 469, 470, 471, 472, 473, 474, 475, 476, 476,
802                    477, 478, 479, 480, 481, 482, 483, 483, 484, 485, 486, 487, 488, 489, 490, 490,
803                    491, 492, 493, 494, 495, 496, 497, 497, 498, 499, 500, 501, 502, 503, 503, 504,
804                    505, 506, 507, 508, 509, 510, 510, 511, 512, 513, 514, 515, 516, 516, 517, 518,
805                    519, 520, 521, 522, 522, 523, 524, 525, 526, 527, 527, 528, 529, 530, 531, 532,
806                    533, 533, 534, 535, 536, 537, 538, 538, 539, 540, 541, 542, 543, 544, 544, 545,
807                    546, 547, 548, 549, 549, 550, 551, 552, 553, 554, 554, 555, 556, 557, 558, 559,
808                    559, 560, 561, 562, 563, 563, 564, 565, 566, 567, 568, 568, 569, 570, 571, 572,
809                    573, 573, 574, 575, 576, 577, 577, 578, 579, 580, 581, 582, 582, 583, 584, 585,
810                    586, 586, 587, 588, 589, 590, 590, 591, 592, 593, 594, 594, 595, 596, 597, 598,
811                    598, 599, 600, 601, 602, 602, 603, 604, 605, 606, 606, 607, 608, 609, 610, 610,
812                    611, 612, 613, 614, 614, 615, 616, 617, 618, 618, 619, 620, 621, 621, 622, 623,
813                    624, 625, 625, 626, 627, 628, 628, 629, 630, 631, 632, 632, 633, 634, 635, 635,
814                    636, 637, 638, 639, 639, 640, 641, 642, 642, 643, 644, 645, 645, 646, 647, 648,
815                    648, 649, 650, 651, 652, 652, 653, 654, 655, 655, 656, 657, 658, 658, 659, 660,
816                    661, 661, 662, 663, 664, 664, 665, 666, 667, 667, 668, 669, 670, 670, 671, 672,
817                    673, 673, 674, 675, 675, 676, 677, 678, 678, 679, 680, 681, 681, 682, 683, 684,
818                    684, 685, 686, 686, 687, 688, 689, 689, 690, 691, 692, 692, 693, 694, 694, 695,
819                    696, 697, 697, 698, 699, 699, 700, 701, 702, 702, 703, 704, 704, 705, 706, 707,
820                    707, 708, 709, 709, 710, 711, 711, 712, 713, 714, 714, 715, 716, 716, 717, 718,
821                    718, 719, 720, 721, 721, 722, 723, 723, 724, 725, 725, 726, 727, 727, 728, 729,
822                    730, 730, 731, 732, 732, 733, 734, 734, 735, 736, 736, 737, 738, 738, 739, 740,
823                    740, 741, 742, 742, 743, 744, 744, 745, 746, 746, 747, 748, 748, 749, 750, 750,
824                    751, 752, 752, 753, 754, 754, 755, 756, 756, 757, 758, 758, 759, 760, 760, 761,
825                    761, 762, 763, 763, 764, 765, 765, 766, 767, 767, 768, 769, 769, 770, 770, 771,
826                    772, 772, 773, 774, 774, 775, 776, 776, 777, 777, 778, 779, 779, 780, 781, 781,
827                    782, 782, 783, 784, 784, 785, 786, 786, 787, 787, 788, 789, 789, 790, 790, 791,
828                    792, 792, 793, 794, 794, 795, 795, 796, 797, 797, 798, 798, 799, 800, 800, 801,
829                    801, 802, 803, 803, 804, 804, 805, 806, 806, 807, 807, 808, 809, 809, 810, 810,
830                    811, 811, 812, 813, 813, 814, 814, 815, 816, 816, 817, 817, 818, 818, 819, 820,
831                    820, 821, 821, 822, 822, 823, 824, 824, 825, 825, 826, 826, 827, 827, 828, 829,
832                    829, 830, 830, 831, 831, 832, 833, 833, 834, 834, 835, 835, 836, 836, 837, 837,
833                    838, 839, 839, 840, 840, 841, 841, 842, 842, 843, 843, 844, 844, 845, 846, 846,
834                    847, 847, 848, 848, 849, 849, 850, 850, 851, 851, 852, 852, 853, 853, 854, 855,
835                    855, 856, 856, 857, 857, 858, 858, 859, 859, 860, 860, 861, 861, 862, 862, 863,
836                    863, 864, 864, 865, 865, 866, 866, 867, 867, 868, 868, 869, 869, 870, 870, 871,
837                    871, 872, 872, 873, 873, 874, 874, 875, 875, 876, 876, 877, 877, 877, 878, 878,
838                    879, 879, 880, 880, 881, 881, 882, 882, 883, 883, 884, 884, 885, 885, 886, 886,
839                    886, 887, 887, 888, 888, 889, 889, 890, 890, 891, 891, 891, 892, 892, 893, 893,
840                    894, 894, 895, 895, 896, 896, 896, 897, 897, 898, 898, 899, 899, 899, 900, 900,
841                    901, 901, 902, 902, 903, 903, 903, 904, 904, 905, 905, 906, 906, 906, 907, 907,
842                    908, 908, 908, 909, 909, 910, 910, 911, 911, 911, 912, 912, 913, 913, 913, 914,
843                    914, 915, 915, 915, 916, 916, 917, 917, 917, 918, 918, 919, 919, 919, 920, 920,
844                    921, 921, 921, 922, 922, 923, 923, 923, 924, 924, 924, 925, 925, 926, 926, 926,
845                    927, 927, 927, 928, 928, 929, 929, 929, 930, 930, 930, 931, 931, 932, 932, 932,
846                    933, 933, 933, 934, 934, 934, 935, 935, 935, 936, 936, 937, 937, 937, 938, 938,
847                    938, 939, 939, 939, 940, 940, 940, 941, 941, 941, 942, 942, 942, 943, 943, 943,
848                    944, 944, 944, 945, 945, 945, 946, 946, 946, 947, 947, 947, 948, 948, 948, 949,
849                    949, 949, 949, 950, 950, 950, 951, 951, 951, 952, 952, 952, 953, 953, 953, 953,
850                    954, 954, 954, 955, 955, 955, 956, 956, 956, 956, 957, 957, 957, 958, 958, 958,
851                    958, 959, 959, 959, 960, 960, 960, 960, 961, 961, 961, 962, 962, 962, 962, 963,
852                    963, 963, 963, 964, 964, 964, 965, 965, 965, 965, 966, 966, 966, 966, 967, 967,
853                    967, 967, 968, 968, 968, 968, 969, 969, 969, 969, 970, 970, 970, 970, 971, 971,
854                    971, 971, 972, 972, 972, 972, 972, 973, 973, 973, 973, 974, 974, 974, 974, 975,
855                    975, 975, 975, 975, 976, 976, 976, 976, 977, 977, 977, 977, 977, 978, 978, 978,
856                    978, 978, 979, 979, 979, 979, 979, 980, 980, 980, 980, 980, 981, 981, 981, 981,
857                    981, 982, 982, 982, 982, 982, 983, 983, 983, 983, 983, 983, 984, 984, 984, 984,
858                    984, 985, 985, 985, 985, 985, 985, 986, 986, 986, 986, 986, 986, 987, 987, 987,
859                    987, 987, 987, 988, 988, 988, 988, 988, 988, 988, 989, 989, 989, 989, 989, 989,
860                    989, 990, 990, 990, 990, 990, 990, 990, 991, 991, 991, 991, 991, 991, 991, 992,
861                    992, 992, 992, 992, 992, 992, 992, 993, 993, 993, 993, 993, 993, 993, 993, 993,
862                    994, 994, 994, 994, 994, 994, 994, 994, 994, 995, 995, 995, 995, 995, 995, 995,
863                    995, 995, 995, 996, 996, 996, 996, 996, 996, 996, 996, 996, 996, 996, 997, 997,
864                    997, 997, 997, 997, 997, 997, 997, 997, 997, 997, 997, 998, 998, 998, 998, 998,
865                    998, 998, 998, 998, 998, 998, 998, 998, 998, 998, 998, 999, 999, 999, 999, 999,
866                    999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999, 999,
867                    999, 999, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000,
868                    1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000,
869                    1000, 1000, 1000, 1000, 1000,
870                ]
871            },
872            tangent_array: {
873                [
874                    0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,
875                    22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41,
876                    42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61,
877                    62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81,
878                    82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101,
879                    102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 116, 117, 118,
880                    119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134,
881                    135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150,
882                    151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 167,
883                    168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183,
884                    184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 198, 199, 200,
885                    201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216,
886                    217, 218, 219, 220, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233,
887                    234, 235, 236, 237, 238, 239, 240, 242, 243, 244, 245, 246, 247, 248, 249, 250,
888                    251, 252, 253, 254, 255, 256, 257, 259, 260, 261, 262, 263, 264, 265, 266, 267,
889                    268, 269, 270, 271, 272, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284,
890                    285, 286, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 300, 301, 302,
891                    303, 304, 305, 306, 307, 308, 309, 310, 312, 313, 314, 315, 316, 317, 318, 319,
892                    320, 321, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 334, 335, 336, 337,
893                    338, 339, 340, 341, 343, 344, 345, 346, 347, 348, 349, 350, 351, 353, 354, 355,
894                    356, 357, 358, 359, 361, 362, 363, 364, 365, 366, 367, 368, 370, 371, 372, 373,
895                    374, 375, 376, 378, 379, 380, 381, 382, 383, 384, 386, 387, 388, 389, 390, 391,
896                    392, 394, 395, 396, 397, 398, 399, 401, 402, 403, 404, 405, 406, 408, 409, 410,
897                    411, 412, 413, 415, 416, 417, 418, 419, 420, 422, 423, 424, 425, 426, 428, 429,
898                    430, 431, 432, 433, 435, 436, 437, 438, 439, 441, 442, 443, 444, 445, 447, 448,
899                    449, 450, 451, 453, 454, 455, 456, 457, 459, 460, 461, 462, 463, 465, 466, 467,
900                    468, 470, 471, 472, 473, 474, 476, 477, 478, 479, 481, 482, 483, 484, 486, 487,
901                    488, 489, 490, 492, 493, 494, 495, 497, 498, 499, 500, 502, 503, 504, 505, 507,
902                    508, 509, 510, 512, 513, 514, 516, 517, 518, 519, 521, 522, 523, 524, 526, 527,
903                    528, 530, 531, 532, 533, 535, 536, 537, 539, 540, 541, 542, 544, 545, 546, 548,
904                    549, 550, 552, 553, 554, 555, 557, 558, 559, 561, 562, 563, 565, 566, 567, 569,
905                    570, 571, 573, 574, 575, 577, 578, 579, 581, 582, 583, 585, 586, 587, 589, 590,
906                    591, 593, 594, 595, 597, 598, 599, 601, 602, 604, 605, 606, 608, 609, 610, 612,
907                    613, 614, 616, 617, 619, 620, 621, 623, 624, 626, 627, 628, 630, 631, 633, 634,
908                    635, 637, 638, 640, 641, 642, 644, 645, 647, 648, 649, 651, 652, 654, 655, 657,
909                    658, 659, 661, 662, 664, 665, 667, 668, 670, 671, 672, 674, 675, 677, 678, 680,
910                    681, 683, 684, 686, 687, 689, 690, 692, 693, 694, 696, 697, 699, 700, 702, 703,
911                    705, 706, 708, 709, 711, 712, 714, 715, 717, 718, 720, 721, 723, 725, 726, 728,
912                    729, 731, 732, 734, 735, 737, 738, 740, 741, 743, 745, 746, 748, 749, 751, 752,
913                    754, 755, 757, 759, 760, 762, 763, 765, 767, 768, 770, 771, 773, 775, 776, 778,
914                    779, 781, 783, 784, 786, 787, 789, 791, 792, 794, 796, 797, 799, 800, 802, 804,
915                    805, 807, 809, 810, 812, 814, 815, 817, 819, 820, 822, 824, 825, 827, 829, 830,
916                    832, 834, 835, 837, 839, 841, 842, 844, 846, 847, 849, 851, 853, 854, 856, 858,
917                    860, 861, 863, 865, 867, 868, 870, 872, 874, 875, 877, 879, 881, 882, 884, 886,
918                    888, 890, 891, 893, 895, 897, 899, 900, 902, 904, 906, 908, 909, 911, 913, 915,
919                    917, 919, 920, 922, 924, 926, 928, 930, 932, 933, 935, 937, 939, 941, 943, 945,
920                    947, 949, 950, 952, 954, 956, 958, 960, 962, 964, 966, 968, 970, 972, 974, 976,
921                    977, 979, 981, 983, 985, 987, 989, 991, 993, 995, 997, 999, 1001, 1003, 1005, 1007,
922                    1009, 1011, 1013, 1015, 1017, 1019, 1021, 1023, 1026, 1028, 1030, 1032, 1034, 1036,
923                    1038, 1040, 1042, 1044, 1046, 1048, 1050, 1053, 1055, 1057, 1059, 1061, 1063, 1065,
924                    1067, 1070, 1072, 1074, 1076, 1078, 1080, 1083, 1085, 1087, 1089, 1091, 1093, 1096,
925                    1098, 1100, 1102, 1104, 1107, 1109, 1111, 1113, 1116, 1118, 1120, 1122, 1125, 1127,
926                    1129, 1131, 1134, 1136, 1138, 1141, 1143, 1145, 1148, 1150, 1152, 1155, 1157, 1159,
927                    1162, 1164, 1166, 1169, 1171, 1173, 1176, 1178, 1181, 1183, 1185, 1188, 1190, 1193,
928                    1195, 1197, 1200, 1202, 1205, 1207, 1210, 1212, 1215, 1217, 1220, 1222, 1225, 1227,
929                    1230, 1232, 1235, 1237, 1240, 1242, 1245, 1247, 1250, 1252, 1255, 1258, 1260, 1263,
930                    1265, 1268, 1271, 1273, 1276, 1278, 1281, 1284, 1286, 1289, 1292, 1294, 1297, 1300,
931                    1302, 1305, 1308, 1311, 1313, 1316, 1319, 1321, 1324, 1327, 1330, 1333, 1335, 1338,
932                    1341, 1344, 1346, 1349, 1352, 1355, 1358, 1361, 1364, 1366, 1369, 1372, 1375, 1378,
933                    1381, 1384, 1387, 1390, 1392, 1395, 1398, 1401, 1404, 1407, 1410, 1413, 1416, 1419,
934                    1422, 1425, 1428, 1431, 1434, 1438, 1441, 1444, 1447, 1450, 1453, 1456, 1459, 1462,
935                    1465, 1469, 1472, 1475, 1478, 1481, 1485, 1488, 1491, 1494, 1497, 1501, 1504, 1507,
936                    1510, 1514, 1517, 1520, 1524, 1527, 1530, 1534, 1537, 1540, 1544, 1547, 1551, 1554,
937                    1557, 1561, 1564, 1568, 1571, 1575, 1578, 1582, 1585, 1589, 1592, 1596, 1599, 1603,
938                    1606, 1610, 1614, 1617, 1621, 1624, 1628, 1632, 1635, 1639, 1643, 1647, 1650, 1654,
939                    1658, 1661, 1665, 1669, 1673, 1677, 1680, 1684, 1688, 1692, 1696, 1700, 1704, 1708,
940                    1711, 1715, 1719, 1723, 1727, 1731, 1735, 1739, 1743, 1747, 1751, 1755, 1760, 1764,
941                    1768, 1772, 1776, 1780, 1784, 1789, 1793, 1797, 1801, 1806, 1810, 1814, 1818, 1823,
942                    1827, 1831, 1836, 1840, 1845, 1849, 1853, 1858, 1862, 1867, 1871, 1876, 1880, 1885,
943                    1889, 1894, 1899, 1903, 1908, 1912, 1917, 1922, 1926, 1931, 1936, 1941, 1945, 1950,
944                    1955, 1960, 1965, 1970, 1975, 1979, 1984, 1989, 1994, 1999, 2004, 2009, 2014, 2019,
945                    2024, 2030, 2035, 2040, 2045, 2050, 2055, 2061, 2066, 2071, 2077, 2082, 2087, 2093,
946                    2098, 2103, 2109, 2114, 2120, 2125, 2131, 2136, 2142, 2148, 2153, 2159, 2164, 2170,
947                    2176, 2182, 2187, 2193, 2199, 2205, 2211, 2217, 2223, 2229, 2234, 2241, 2247, 2253,
948                    2259, 2265, 2271, 2277, 2283, 2290, 2296, 2302, 2308, 2315, 2321, 2328, 2334, 2340,
949                    2347, 2353, 2360, 2367, 2373, 2380, 2387, 2393, 2400, 2407, 2414, 2420, 2427, 2434,
950                    2441, 2448, 2455, 2462, 2469, 2476, 2483, 2491, 2498, 2505, 2512, 2520, 2527, 2535,
951                    2542, 2549, 2557, 2565, 2572, 2580, 2587, 2595, 2603, 2611, 2619, 2626, 2634, 2642,
952                    2650, 2658, 2666, 2675, 2683, 2691, 2699, 2708, 2716, 2724, 2733, 2741, 2750, 2758,
953                    2767, 2776, 2784, 2793, 2802, 2811, 2820, 2829, 2838, 2847, 2856, 2865, 2874, 2884,
954                    2893, 2902, 2912, 2921, 2931, 2941, 2950, 2960, 2970, 2980, 2990, 3000, 3010, 3020,
955                    3030, 3040, 3050, 3061, 3071, 3081, 3092, 3103, 3113, 3124, 3135, 3146, 3157, 3168,
956                    3179, 3190, 3201, 3212, 3224, 3235, 3247, 3258, 3270, 3282, 3293, 3305, 3317, 3329,
957                    3341, 3354, 3366, 3378, 3391, 3403, 3416, 3429, 3441, 3454, 3467, 3480, 3493, 3507,
958                    3520, 3533, 3547, 3561, 3574, 3588, 3602, 3616, 3630, 3644, 3659, 3673, 3688, 3702,
959                    3717, 3732, 3747, 3762, 3777, 3793, 3808, 3824, 3839, 3855, 3871, 3887, 3903, 3920,
960                    3936, 3953, 3969, 3986, 4003, 4020, 4037, 4055, 4072, 4090, 4108, 4126, 4144, 4162,
961                    4180, 4199, 4218, 4237, 4256, 4275, 4294, 4314, 4333, 4353, 4373, 4393, 4414, 4434,
962                    4455, 4476, 4497, 4519, 4540, 4562, 4584, 4606, 4628, 4651, 4673, 4696, 4720, 4743,
963                    4767, 4790, 4814, 4839, 4863, 4888, 4913, 4938, 4964, 4990, 5016, 5042, 5068, 5095,
964                    5122, 5150, 5177, 5205, 5234, 5262, 5291, 5320, 5350, 5379, 5410, 5440, 5471, 5502,
965                    5533, 5565, 5597, 5630, 5663, 5696, 5729, 5763, 5798, 5833, 5868, 5904, 5940, 5976,
966                    6013, 6050, 6088, 6127, 6165, 6205, 6244, 6285, 6325, 6367, 6408, 6451, 6494, 6537,
967                    6581, 6626, 6671, 6717, 6763, 6810, 6858, 6906, 6955, 7005, 7055, 7107, 7158, 7211,
968                    7264, 7319, 7374, 7429, 7486, 7543, 7602, 7661, 7721, 7782, 7844, 7907, 7971, 8036,
969                    8103, 8170, 8238, 8308, 8378, 8450, 8523, 8597, 8673, 8750, 8828, 8908, 8989, 9071,
970                    9155, 9241, 9328, 9417, 9507, 9600, 9694, 9790, 9887, 9987, 10089, 10193,
971                    10299, 10407, 10517, 10630, 10745, 10863, 10983, 11106, 11232, 11361, 11492, 11627,
972                    11765, 11906, 12050, 12198, 12350, 12505, 12665, 12828, 12996, 13168, 13345, 13526,
973                    13713, 13904, 14101, 14304, 14513, 14727, 14949, 15176, 15411, 15654, 15904, 16162,
974                    16428, 16703, 16988, 17283, 17588, 17904, 18231, 18571, 18923, 19289, 19670, 20065,
975                    20477, 20906, 21354, 21821, 22308, 22818, 23352, 23912, 24498, 25115, 25763, 26445,
976                    27164, 27924, 28727, 29578, 30480, 31440, 32461, 33551, 34717, 35967, 37310, 38757,
977                    40320, 42015, 43859, 45872, 48078, 50508, 53196, 56185, 59531, 63301, 67579, 72478,
978                    78143, 84768, 92620, 102076, 113681, 128263, 147136, 172521, 208491, 263411,
979                    357611, 556691, 1255766, -4909826, -830790, -453787, -312141, -237886, -192170, -161193,
980                    -138816, -121894, -108649, -98001, -89253, -81938, -75732, -70400, -65769, -61709,
981                    -58121, -54928, -52067, -49489, -47155, -45030, -43089, -41308, -39668, -38154,
982                    -36751, -35447, -34233, -33098, -32037, -31042, -30106, -29225, -28394, -27609,
983                    -26867, -26163, -25495, -24860, -24256, -23681, -23132, -22608, -22107, -21628,
984                    -21169, -20729, -20307, -19902, -19513, -19138, -18778, -18431, -18096, -17774,
985                    -17462, -17162, -16871, -16590, -16318, -16055, -15801, -15554, -15315, -15083,
986                    -14858, -14639, -14427, -14221, -14020, -13826, -13636, -13452, -13272, -13097,
987                    -12927, -12761, -12599, -12442, -12288, -12137, -11991, -11848, -11708, -11572,
988                    -11438, -11308, -11181, -11056, -10934, -10815, -10698, -10584, -10472, -10363,
989                    -10255, -10150, -10047, -9946, -9847, -9750, -9655, -9562, -9470, -9380, -9292, -9206,
990                    -9121, -9037, -8955, -8875, -8796, -8718, -8642, -8567, -8493, -8421, -8349, -8279,
991                    -8210, -8142, -8076, -8010, -7945, -7882, -7819, -7757, -7697, -7637, -7578, -7520,
992                    -7463, -7407, -7351, -7296, -7243, -7190, -7137, -7086, -7035, -6985, -6935, -6887,
993                    -6838, -6791, -6744, -6698, -6652, -6607, -6563, -6519, -6476, -6433, -6391, -6350,
994                    -6309, -6268, -6228, -6189, -6150, -6111, -6073, -6035, -5998, -5961, -5925, -5889,
995                    -5854, -5818, -5784, -5750, -5716, -5682, -5649, -5616, -5584, -5552, -5520, -5489,
996                    -5458, -5427, -5397, -5367, -5338, -5308, -5279, -5251, -5222, -5194, -5166, -5139,
997                    -5111, -5084, -5058, -5031, -5005, -4979, -4953, -4928, -4903, -4878, -4853, -4829,
998                    -4805, -4781, -4757, -4733, -4710, -4687, -4664, -4642, -4619, -4597, -4575, -4553,
999                    -4531, -4510, -4489, -4468, -4447, -4426, -4406, -4385, -4365, -4345, -4325, -4306,
1000                    -4286, -4267, -4248, -4229, -4210, -4191, -4173, -4155, -4136, -4118, -4100, -4083,
1001                    -4065, -4048, -4030, -4013, -3996, -3979, -3963, -3946, -3929, -3913, -3897, -3881,
1002                    -3865, -3849, -3833, -3817, -3802, -3786, -3771, -3756, -3741, -3726, -3711, -3696,
1003                    -3682, -3667, -3653, -3639, -3624, -3610, -3596, -3583, -3569, -3555, -3541, -3528,
1004                    -3515, -3501, -3488, -3475, -3462, -3449, -3436, -3423, -3411, -3398, -3386, -3373,
1005                    -3361, -3349, -3336, -3324, -3312, -3300, -3289, -3277, -3265, -3253, -3242, -3230,
1006                    -3219, -3208, -3196, -3185, -3174, -3163, -3152, -3141, -3130, -3120, -3109, -3098,
1007                    -3088, -3077, -3067, -3056, -3046, -3036, -3026, -3016, -3005, -2995, -2986, -2976,
1008                    -2966, -2956, -2946, -2937, -2927, -2918, -2908, -2899, -2889, -2880, -2871, -2861,
1009                    -2852, -2843, -2834, -2825, -2816, -2807, -2798, -2790, -2781, -2772, -2763, -2755,
1010                    -2746, -2738, -2729, -2721, -2713, -2704, -2696, -2688, -2679, -2671, -2663, -2655,
1011                    -2647, -2639, -2631, -2623, -2615, -2608, -2600, -2592, -2584, -2577, -2569, -2561,
1012                    -2554, -2546, -2539, -2532, -2524, -2517, -2509, -2502, -2495, -2488, -2481, -2473,
1013                    -2466, -2459, -2452, -2445, -2438, -2431, -2424, -2418, -2411, -2404, -2397, -2390,
1014                    -2384, -2377, -2370, -2364, -2357, -2351, -2344, -2338, -2331, -2325, -2319, -2312,
1015                    -2306, -2300, -2293, -2287, -2281, -2275, -2268, -2262, -2256, -2250, -2244, -2238,
1016                    -2232, -2226, -2220, -2214, -2208, -2202, -2197, -2191, -2185, -2179, -2174, -2168,
1017                    -2162, -2156, -2151, -2145, -2140, -2134, -2129, -2123, -2118, -2112, -2107, -2101,
1018                    -2096, -2090, -2085, -2080, -2074, -2069, -2064, -2059, -2053, -2048, -2043, -2038,
1019                    -2033, -2028, -2022, -2017, -2012, -2007, -2002, -1997, -1992, -1987, -1982, -1977,
1020                    -1973, -1968, -1963, -1958, -1953, -1948, -1944, -1939, -1934, -1929, -1925, -1920,
1021                    -1915, -1911, -1906, -1901, -1897, -1892, -1887, -1883, -1878, -1874, -1869, -1865,
1022                    -1860, -1856, -1852, -1847, -1843, -1838, -1834, -1830, -1825, -1821, -1817, -1812,
1023                    -1808, -1804, -1800, -1795, -1791, -1787, -1783, -1779, -1774, -1770, -1766, -1762,
1024                    -1758, -1754, -1750, -1746, -1742, -1738, -1734, -1730, -1726, -1722, -1718, -1714,
1025                    -1710, -1706, -1702, -1698, -1694, -1690, -1687, -1683, -1679, -1675, -1671, -1667,
1026                    -1664, -1660, -1656, -1652, -1649, -1645, -1641, -1638, -1634, -1630, -1627, -1623,
1027                    -1619, -1616, -1612, -1609, -1605, -1601, -1598, -1594, -1591, -1587, -1584, -1580,
1028                    -1577, -1573, -1570, -1566, -1563, -1559, -1556, -1553, -1549, -1546, -1542, -1539,
1029                    -1536, -1532, -1529, -1526, -1522, -1519, -1516, -1512, -1509, -1506, -1503, -1499,
1030                    -1496, -1493, -1490, -1486, -1483, -1480, -1477, -1474, -1471, -1467, -1464, -1461,
1031                    -1458, -1455, -1452, -1449, -1445, -1442, -1439, -1436, -1433, -1430, -1427, -1424,
1032                    -1421, -1418, -1415, -1412, -1409, -1406, -1403, -1400, -1397, -1394, -1391, -1388,
1033                    -1385, -1383, -1380, -1377, -1374, -1371, -1368, -1365, -1362, -1359, -1357, -1354,
1034                    -1351, -1348, -1345, -1343, -1340, -1337, -1334, -1331, -1329, -1326, -1323, -1320,
1035                    -1318, -1315, -1312, -1309, -1307, -1304, -1301, -1299, -1296, -1293, -1291, -1288,
1036                    -1285, -1283, -1280, -1277, -1275, -1272, -1269, -1267, -1264, -1262, -1259, -1257,
1037                    -1254, -1251, -1249, -1246, -1244, -1241, -1239, -1236, -1234, -1231, -1229, -1226,
1038                    -1224, -1221, -1219, -1216, -1214, -1211, -1209, -1206, -1204, -1201, -1199, -1196,
1039                    -1194, -1192, -1189, -1187, -1184, -1182, -1180, -1177, -1175, -1172, -1170, -1168,
1040                    -1165, -1163, -1161, -1158, -1156, -1154, -1151, -1149, -1147, -1144, -1142, -1140,
1041                    -1137, -1135, -1133, -1131, -1128, -1126, -1124, -1121, -1119, -1117, -1115, -1112,
1042                    -1110, -1108, -1106, -1104, -1101, -1099, -1097, -1095, -1093, -1090, -1088, -1086,
1043                    -1084, -1082, -1079, -1077, -1075, -1073, -1071, -1069, -1067, -1064, -1062, -1060,
1044                    -1058, -1056, -1054, -1052, -1050, -1047, -1045, -1043, -1041, -1039, -1037, -1035,
1045                    -1033, -1031, -1029, -1027, -1025, -1023, -1021, -1019, -1017, -1014, -1012, -1010,
1046                    -1008, -1006, -1004, -1002, -1000, -998, -996, -994, -992, -990, -988, -986,
1047                    -985, -983, -981, -979, -977, -975, -973, -971, -969, -967, -965, -963, -961, -959,
1048                    -957, -955, -953, -952, -950, -948, -946, -944, -942, -940, -938, -936, -935, -933,
1049                    -931, -929, -927, -925, -923, -922, -920, -918, -916, -914, -912, -911, -909, -907,
1050                    -905, -903, -901, -900, -898, -896, -894, -892, -891, -889, -887, -885, -883, -882,
1051                    -880, -878, -876, -875, -873, -871, -869, -868, -866, -864, -862, -861, -859, -857,
1052                    -855, -854, -852, -850, -848, -847, -845, -843, -842, -840, -838, -836, -835, -833,
1053                    -831, -830, -828, -826, -825, -823, -821, -820, -818, -816, -815, -813, -811, -810,
1054                    -808, -806, -805, -803, -801, -800, -798, -796, -795, -793, -792, -790, -788, -787,
1055                    -785, -783, -782, -780, -779, -777, -775, -774, -772, -771, -769, -767, -766, -764,
1056                    -763, -761, -760, -758, -756, -755, -753, -752, -750, -749, -747, -745, -744, -742,
1057                    -741, -739, -738, -736, -735, -733, -732, -730, -728, -727, -725, -724, -722, -721,
1058                    -719, -718, -716, -715, -713, -712, -710, -709, -707, -706, -704, -703, -701, -700,
1059                    -698, -697, -695, -694, -692, -691, -689, -688, -686, -685, -684, -682, -681, -679,
1060                    -678, -676, -675, -673, -672, -670, -669, -668, -666, -665, -663, -662, -660, -659,
1061                    -657, -656, -655, -653, -652, -650, -649, -647, -646, -645, -643, -642, -640, -639,
1062                    -638, -636, -635, -633, -632, -631, -629, -628, -626, -625, -624, -622, -621, -619,
1063                    -618, -617, -615, -614, -613, -611, -610, -608, -607, -606, -604, -603, -602, -600,
1064                    -599, -598, -596, -595, -593, -592, -591, -589, -588, -587, -585, -584, -583, -581,
1065                    -580, -579, -577, -576, -575, -573, -572, -571, -569, -568, -567, -565, -564, -563,
1066                    -561, -560, -559, -558, -556, -555, -554, -552, -551, -550, -548, -547, -546, -544,
1067                    -543, -542, -541, -539, -538, -537, -535, -534, -533, -532, -530, -529, -528, -526,
1068                    -525, -524, -523, -521, -520, -519, -518, -516, -515, -514, -512, -511, -510, -509,
1069                    -507, -506, -505, -504, -502, -501, -500, -499, -497, -496, -495, -494, -492, -491,
1070                    -490, -489, -487, -486, -485, -484, -483, -481, -480, -479, -478, -476, -475, -474,
1071                    -473, -472, -470, -469, -468, -467, -465, -464, -463, -462, -461, -459, -458, -457,
1072                    -456, -455, -453, -452, -451, -450, -448, -447, -446, -445, -444, -442, -441, -440,
1073                    -439, -438, -437, -435, -434, -433, -432, -431, -429, -428, -427, -426, -425, -423,
1074                    -422, -421, -420, -419, -418, -416, -415, -414, -413, -412, -411, -409, -408, -407,
1075                    -406, -405, -404, -402, -401, -400, -399, -398, -397, -395, -394, -393, -392, -391,
1076                    -390, -389, -387, -386, -385, -384, -383, -382, -381, -379, -378, -377, -376, -375,
1077                    -374, -373, -371, -370, -369, -368, -367, -366, -365, -363, -362, -361, -360, -359,
1078                    -358, -357, -356, -354, -353, -352, -351, -350, -349, -348, -347, -345, -344, -343,
1079                    -342, -341, -340, -339, -338, -336, -335, -334, -333, -332, -331, -330, -329, -328,
1080                    -327, -325, -324, -323, -322, -321, -320, -319, -318, -317, -315, -314, -313, -312,
1081                    -311, -310, -309, -308, -307, -306, -305, -303, -302, -301, -300, -299, -298, -297,
1082                    -296, -295, -294, -293, -291, -290, -289, -288, -287, -286, -285, -284, -283, -282,
1083                    -281, -280, -278, -277, -276, -275, -274, -273, -272, -271, -270, -269, -268, -267,
1084                    -266, -265, -263, -262, -261, -260, -259, -258, -257, -256, -255, -254, -253, -252,
1085                    -251, -250, -249, -247, -246, -245, -244, -243, -242, -241, -240, -239, -238, -237,
1086                    -236, -235, -234, -233, -232, -231, -229, -228, -227, -226, -225, -224, -223, -222,
1087                    -221, -220, -219, -218, -217, -216, -215, -214, -213, -212, -211, -210, -209, -207,
1088                    -206, -205, -204, -203, -202, -201, -200, -199, -198, -197, -196, -195, -194, -193,
1089                    -192, -191, -190, -189, -188, -187, -186, -185, -184, -183, -182, -181, -179, -178,
1090                    -177, -176, -175, -174, -173, -172, -171, -170, -169, -168, -167, -166, -165, -164,
1091                    -163, -162, -161, -160, -159, -158, -157, -156, -155, -154, -153, -152, -151, -150,
1092                    -149, -148, -147, -146, -145, -144, -143, -142, -141, -139, -138, -137, -136, -135,
1093                    -134, -133, -132, -131, -130, -129, -128, -127, -126, -125, -124, -123, -122, -121,
1094                    -120, -119, -118, -117, -116, -115, -114, -113, -112, -111, -110, -109, -108, -107,
1095                    -106, -105, -104, -103, -102, -101, -100, -99, -98, -97, -96, -95, -94, -93,
1096                    -92, -91, -90, -89, -88, -87, -86, -85, -84, -83, -82, -81, -80, -79, -78, -77,
1097                    -76, -75, -74, -73, -72, -71, -70, -69, -68, -67, -66, -65, -64, -63, -62, -61,
1098                    -60, -59, -58, -57, -56, -55, -54, -53, -52, -51, -50, -49, -48, -47, -46, -45,
1099                    -44, -43, -42, -41, -40, -39, -38, -37, -36, -35, -34, -33, -32, -31, -30, -29,
1100                    -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13,
1101                    -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
1102                    10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29,
1103                    30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49,
1104                    50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70,
1105                    71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90,
1106                    91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108,
1107                    109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124,
1108                    125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140,
1109                    141, 142, 143, 144, 145, 146, 147, 148, 150, 151, 152, 153, 154, 155, 156, 157,
1110                    158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173,
1111                    174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 187, 188, 189, 190,
1112                    191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206,
1113                    207, 208, 209, 210, 211, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223,
1114                    224, 225, 226, 227, 228, 229, 230, 231, 232, 234, 235, 236, 237, 238, 239, 240,
1115                    241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 252, 253, 254, 255, 256, 257,
1116                    258, 259, 260, 261, 262, 263, 264, 265, 266, 268, 269, 270, 271, 272, 273, 274,
1117                    275, 276, 277, 278, 279, 280, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291,
1118                    292, 293, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 308, 309,
1119                    310, 311, 312, 313, 314, 315, 316, 317, 319, 320, 321, 322, 323, 324, 325, 326,
1120                    327, 329, 330, 331, 332, 333, 334, 335, 336, 337, 339, 340, 341, 342, 343, 344,
1121                    345, 346, 347, 349, 350, 351, 352, 353, 354, 355, 356, 358, 359, 360, 361, 362,
1122                    363, 364, 365, 367, 368, 369, 370, 371, 372, 373, 375, 376, 377, 378, 379, 380,
1123                    381, 383, 384, 385, 386, 387, 388, 389, 391, 392, 393, 394, 395, 396, 398, 399,
1124                    400, 401, 402, 403, 405, 406, 407, 408, 409, 410, 412, 413, 414, 415, 416, 417,
1125                    419, 420, 421, 422, 423, 424, 426, 427, 428, 429, 430, 432, 433, 434, 435, 436,
1126                    437, 439, 440, 441, 442, 443, 445, 446, 447, 448, 449, 451, 452, 453, 454, 455,
1127                    457, 458, 459, 460, 462, 463, 464, 465, 466, 468, 469, 470, 471, 473, 474, 475,
1128                    476, 477, 479, 480, 481, 482, 484, 485, 486, 487, 489, 490, 491, 492, 493, 495,
1129                    496, 497, 498, 500, 501, 502, 503, 505, 506, 507, 508, 510, 511, 512, 514, 515,
1130                    516, 517, 519, 520, 521, 522, 524, 525, 526, 528, 529, 530, 531, 533, 534, 535,
1131                    536, 538, 539, 540, 542, 543, 544, 546, 547, 548, 549, 551, 552, 553, 555, 556,
1132                    557, 559, 560, 561, 563, 564, 565, 566, 568, 569, 570, 572, 573, 574, 576, 577,
1133                    578, 580, 581, 582, 584, 585, 586, 588, 589, 591, 592, 593, 595, 596, 597, 599,
1134                    600, 601, 603, 604, 605, 607, 608, 610, 611, 612, 614, 615, 616, 618, 619, 621,
1135                    622, 623, 625, 626, 628, 629, 630, 632, 633, 635, 636, 637, 639, 640, 642, 643,
1136                    644, 646, 647, 649, 650, 651, 653, 654, 656, 657, 659, 660, 661, 663, 664, 666,
1137                    667, 669, 670, 672, 673, 675, 676, 677, 679, 680, 682, 683, 685, 686, 688, 689,
1138                    691, 692, 694, 695, 697, 698, 700, 701, 703, 704, 705, 707, 708, 710, 712, 713,
1139                    715, 716, 718, 719, 721, 722, 724, 725, 727, 728, 730, 731, 733, 734, 736, 737,
1140                    739, 741, 742, 744, 745, 747, 748, 750, 751, 753, 755, 756, 758, 759, 761, 762,
1141                    764, 766, 767, 769, 770, 772, 774, 775, 777, 778, 780, 782, 783, 785, 786, 788,
1142                    790, 791, 793, 795, 796, 798, 799, 801, 803, 804, 806, 808, 809, 811, 813, 814,
1143                    816, 818, 819, 821, 823, 824, 826, 828, 829, 831, 833, 834, 836, 838, 840, 841,
1144                    843, 845, 846, 848, 850, 852, 853, 855, 857, 858, 860, 862, 864, 865, 867, 869,
1145                    871, 872, 874, 876, 878, 880, 881, 883, 885, 887, 888, 890, 892, 894, 896, 897,
1146                    899, 901, 903, 905, 907, 908, 910, 912, 914, 916, 918, 919, 921, 923, 925, 927,
1147                    929, 930, 932, 934, 936, 938, 940, 942, 944, 946, 947, 949, 951, 953, 955, 957,
1148                    959, 961, 963, 965, 967, 969, 970, 972, 974, 976, 978, 980, 982, 984, 986, 988,
1149                    990, 992, 994, 996, 998, 1000, 1002, 1004, 1006, 1008, 1010, 1012, 1014, 1016,
1150                    1018, 1020, 1022, 1024, 1026, 1028, 1030, 1033, 1035, 1037, 1039, 1041, 1043, 1045,
1151                    1047, 1049, 1051, 1053, 1056, 1058, 1060, 1062, 1064, 1066, 1068, 1070, 1073, 1075,
1152                    1077, 1079, 1081, 1083, 1086, 1088, 1090, 1092, 1094, 1097, 1099, 1101, 1103, 1105,
1153                    1108, 1110, 1112, 1114, 1117, 1119, 1121, 1123, 1126, 1128, 1130, 1132, 1135, 1137,
1154                    1139, 1142, 1144, 1146, 1149, 1151, 1153, 1155, 1158, 1160, 1163, 1165, 1167, 1170,
1155                    1172, 1174, 1177, 1179, 1182, 1184, 1186, 1189, 1191, 1194, 1196, 1198, 1201, 1203,
1156                    1206, 1208, 1211, 1213, 1216, 1218, 1221, 1223, 1226, 1228, 1231, 1233, 1236, 1238,
1157                    1241, 1243, 1246, 1248, 1251, 1253, 1256, 1259, 1261, 1264, 1266, 1269, 1272, 1274,
1158                    1277, 1280, 1282, 1285, 1287, 1290, 1293, 1295, 1298, 1301, 1304, 1306, 1309, 1312,
1159                    1314, 1317, 1320, 1323, 1325, 1328, 1331, 1334, 1336, 1339, 1342, 1345, 1348, 1350,
1160                    1353, 1356, 1359, 1362, 1365, 1368, 1370, 1373, 1376, 1379, 1382, 1385, 1388, 1391,
1161                    1394, 1397, 1400, 1403, 1406, 1409, 1411, 1414, 1417, 1421, 1424, 1427, 1430, 1433,
1162                    1436, 1439, 1442, 1445, 1448, 1451, 1454, 1457, 1460, 1464, 1467, 1470, 1473, 1476,
1163                    1479, 1483, 1486, 1489, 1492, 1496, 1499, 1502, 1505, 1509, 1512, 1515, 1518, 1522,
1164                    1525, 1528, 1532, 1535, 1538, 1542, 1545, 1549, 1552, 1555, 1559, 1562, 1566, 1569,
1165                    1573, 1576, 1580, 1583, 1587, 1590, 1594, 1597, 1601, 1604, 1608, 1611, 1615, 1619,
1166                    1622, 1626, 1630, 1633, 1637, 1641, 1644, 1648, 1652, 1656, 1659, 1663, 1667, 1671,
1167                    1674, 1678, 1682, 1686, 1690, 1694, 1697, 1701, 1705, 1709, 1713, 1717, 1721, 1725,
1168                    1729, 1733, 1737, 1741, 1745, 1749, 1753, 1757, 1761, 1765, 1769, 1774, 1778, 1782,
1169                    1786, 1790, 1795, 1799, 1803, 1807, 1812, 1816, 1820, 1824, 1829, 1833, 1838, 1842,
1170                    1846, 1851, 1855, 1860, 1864, 1869, 1873, 1878, 1882, 1887, 1891, 1896, 1900, 1905,
1171                    1910, 1914, 1919, 1924, 1928, 1933, 1938, 1943, 1947, 1952, 1957, 1962, 1967, 1972,
1172                    1977, 1981, 1986, 1991, 1996, 2001, 2006, 2011, 2016, 2021, 2027, 2032, 2037, 2042,
1173                    2047, 2052, 2058, 2063, 2068, 2073, 2079, 2084, 2089, 2095, 2100, 2106, 2111, 2116,
1174                    2122, 2128, 2133, 2139, 2144, 2150, 2155, 2161, 2167, 2172, 2178, 2184, 2190, 2196,
1175                    2201, 2207, 2213, 2219, 2225, 2231, 2237, 2243, 2249, 2255, 2261, 2267, 2273, 2280,
1176                    2286, 2292, 2298, 2305, 2311, 2317, 2324, 2330, 2337, 2343, 2350, 2356, 2363, 2369,
1177                    2376, 2383, 2389, 2396, 2403, 2410, 2416, 2423, 2430, 2437, 2444, 2451, 2458, 2465,
1178                    2472, 2479, 2486, 2494, 2501, 2508, 2515, 2523, 2530, 2538, 2545, 2553, 2560, 2568,
1179                    2575, 2583, 2591, 2598, 2606, 2614, 2622, 2630, 2638, 2646, 2654, 2662, 2670, 2678,
1180                    2686, 2694, 2703, 2711, 2719, 2728, 2736, 2745, 2753, 2762, 2771, 2779, 2788, 2797,
1181                    2806, 2815, 2823, 2832, 2842, 2851, 2860, 2869, 2878, 2888, 2897, 2906, 2916, 2925,
1182                    2935, 2945, 2954, 2964, 2974, 2984, 2994, 3004, 3014, 3024, 3034, 3044, 3054, 3065,
1183                    3075, 3086, 3096, 3107, 3118, 3128, 3139, 3150, 3161, 3172, 3183, 3194, 3206, 3217,
1184                    3228, 3240, 3251, 3263, 3275, 3286, 3298, 3310, 3322, 3334, 3346, 3359, 3371, 3383,
1185                    3396, 3408, 3421, 3434, 3447, 3460, 3473, 3486, 3499, 3512, 3525, 3539, 3553, 3566,
1186                    3580, 3594, 3608, 3622, 3636, 3650, 3665, 3679, 3694, 3708, 3723, 3738, 3753, 3768,
1187                    3784, 3799, 3814, 3830, 3846, 3862, 3878, 3894, 3910, 3926, 3943, 3959, 3976, 3993,
1188                    4010, 4027, 4044, 4062, 4079, 4097, 4115, 4133, 4151, 4170, 4188, 4207, 4225, 4244,
1189                    4263, 4283, 4302, 4322, 4341, 4361, 4381, 4402, 4422, 4443, 4464, 4485, 4506, 4527,
1190                    4549, 4571, 4593, 4615, 4637, 4660, 4683, 4706, 4729, 4753, 4776, 4800, 4824, 4849,
1191                    4873, 4898, 4923, 4949, 4974, 5000, 5026, 5053, 5079, 5106, 5134, 5161, 5189, 5217,
1192                    5245, 5274, 5303, 5332, 5362, 5392, 5422, 5452, 5483, 5515, 5546, 5578, 5610, 5643,
1193                    5676, 5709, 5743, 5777, 5812, 5847, 5882, 5918, 5954, 5991, 6028, 6066, 6104, 6142,
1194                    6181, 6221, 6261, 6301, 6342, 6384, 6426, 6468, 6511, 6555, 6599, 6644, 6690, 6736,
1195                    6782, 6830, 6878, 6926, 6975, 7025, 7076, 7128, 7180, 7233, 7286, 7341, 7396, 7452,
1196                    7509, 7567, 7626, 7685, 7746, 7807, 7870, 7933, 7998, 8063, 8130, 8197, 8266, 8336,
1197                    8407, 8480, 8553, 8628, 8704, 8781, 8860, 8940, 9022, 9105, 9190, 9276, 9364, 9454,
1198                    9545, 9638, 9733, 9829, 9928, 10028, 10131, 10236, 10342, 10452, 10563, 10677,
1199                    10793, 10912, 11033, 11157, 11284, 11414, 11547, 11683, 11822, 11964, 12110, 12260,
1200                    12413, 12570, 12731, 12896, 13065, 13239, 13418, 13602, 13790, 13984, 14183, 14388,
1201                    14599, 14817, 15041, 15271, 15509, 15754, 16008, 16269, 16539, 16818, 17107, 17406,
1202                    17715, 18036, 18368, 18713, 19071, 19442, 19829, 20231, 20650, 21086, 21541, 22017,
1203                    22513, 23033, 23577, 24147, 24746, 25375, 26036, 26733, 27469, 28246, 29068, 29939,
1204                    30864, 31848, 32897, 34017, 35215, 36502, 37886, 39379, 40994, 42747, 44657, 46746,
1205                    49039, 51569, 54374, 57502, 61011, 64976, 69493, 74684, 80713, 87800, 96252, 106505,
1206                    119201, 135334, 156517, 185562, 227842, 295073, 418588, 719952, 2570824, -1636608,
1207                    -620724, -382991, -276929, -216870, -178219, -151260, -131386, -116127,
1208                    -104044, -94238, -86121, -79292, -73465, -68437, -64052, -60195, -56777, -53725,
1209                    -50985, -48511, -46265, -44219, -42345, -40624, -39037, -37570, -36208, -34942,
1210                    -33761, -32658, -31624, -30654, -29741, -28881, -28069, -27302, -26575, -25886,
1211                    -25232, -24610, -24018, -23454, -22915, -22401, -21909, -21439, -20988, -20555,
1212                    -20140, -19742, -19359, -18990, -18635, -18293, -17964, -17646, -17339, -17042,
1213                    -16756, -16478, -16210, -15951, -15699, -15456, -15219, -14990, -14768, -14552,
1214                    -14342, -14139, -13940, -13748, -13560, -13378, -13200, -13027, -12859, -12695,
1215                    -12535, -12378, -12226, -12077, -11932, -11791, -11652, -11517, -11385, -11256,
1216                    -11129, -11006, -10885, -10767, -10651, -10538, -10427, -10319, -10212, -10108,
1217                    -10006, -9906, -9808, -9711, -9617, -9524, -9433, -9344, -9257, -9171, -9087, -9004,
1218                    -8922, -8843, -8764, -8687, -8611, -8537, -8463, -8391, -8321, -8251, -8182, -8115,
1219                    -8049, -7983, -7919, -7856, -7794, -7732, -7672, -7613, -7554, -7497, -7440, -7384,
1220                    -7329, -7274, -7221, -7168, -7116, -7065, -7014, -6964, -6915, -6867, -6819, -6772,
1221                    -6725, -6679, -6634, -6589, -6545, -6502, -6459, -6416, -6374, -6333, -6292, -6252,
1222                    -6212, -6173, -6134, -6095, -6057, -6020, -5983, -5946, -5910, -5874, -5839, -5804,
1223                    -5770, -5736, -5702, -5669, -5636, -5603, -5571, -5539, -5508, -5476, -5446, -5415,
1224                    -5385, -5355, -5326, -5296, -5267, -5239, -5211, -5183, -5155, -5127, -5100, -5073,
1225                    -5047, -5020, -4994, -4969, -4943, -4918, -4893, -4868, -4843, -4819, -4795, -4771,
1226                    -4747, -4724, -4701, -4678, -4655, -4632, -4610, -4588, -4566, -4544, -4523, -4501,
1227                    -4480, -4459, -4438, -4418, -4397, -4377, -4357, -4337, -4317, -4298, -4278, -4259,
1228                    -4240, -4221, -4202, -4184, -4165, -4147, -4129, -4111, -4093, -4076, -4058, -4041,
1229                    -4023, -4006, -3989, -3972, -3956, -3939, -3923, -3906, -3890, -3874, -3858, -3842,
1230                    -3827, -3811, -3796, -3780, -3765, -3750, -3735, -3720, -3705, -3691, -3676, -3661,
1231                    -3647, -3633, -3619, -3605, -3591, -3577, -3563, -3550, -3536, -3523, -3509, -3496,
1232                    -3483, -3470, -3457, -3444, -3431, -3418, -3406, -3393, -3381, -3368, -3356, -3344,
1233                    -3331, -3319, -3307, -3296, -3284, -3272, -3260, -3249, -3237, -3226, -3214, -3203,
1234                    -3192, -3181, -3170, -3159, -3148, -3137, -3126, -3115, -3105, -3094, -3083, -3073,
1235                    -3063, -3052, -3042, -3032, -3022, -3011, -3001, -2991, -2981, -2972, -2962, -2952,
1236                    -2942, -2933, -2923, -2914, -2904, -2895, -2885, -2876, -2867, -2858, -2849, -2839,
1237                    -2830, -2821, -2813, -2804, -2795, -2786, -2777, -2769, -2760, -2751, -2743, -2734,
1238                    -2726, -2717, -2709, -2701, -2693, -2684, -2676, -2668, -2660, -2652, -2644, -2636,
1239                    -2628, -2620, -2612, -2604, -2597, -2589, -2581, -2574, -2566, -2558, -2551, -2543,
1240                    -2536, -2529, -2521, -2514, -2507, -2499, -2492, -2485, -2478, -2471, -2463, -2456,
1241                    -2449, -2442, -2435, -2429, -2422, -2415, -2408, -2401, -2394, -2388, -2381, -2374,
1242                    -2368, -2361, -2355, -2348, -2342, -2335, -2329, -2322, -2316, -2310, -2303, -2297,
1243                    -2291, -2284, -2278, -2272, -2266, -2260, -2254, -2248, -2242, -2236, -2230, -2224,
1244                    -2218, -2212, -2206, -2200, -2194, -2188, -2183, -2177, -2171, -2166, -2160, -2154,
1245                    -2149, -2143, -2137, -2132, -2126, -2121, -2115, -2110, -2104, -2099, -2094, -2088,
1246                    -2083, -2078, -2072, -2067, -2062, -2056, -2051, -2046, -2041, -2036, -2031, -2025,
1247                    -2020, -2015, -2010, -2005, -2000, -1995, -1990, -1985, -1980, -1975, -1971, -1966,
1248                    -1961, -1956, -1951, -1946, -1942, -1937, -1932, -1927, -1923, -1918, -1913, -1909,
1249                    -1904, -1899, -1895, -1890, -1886, -1881, -1877, -1872, -1868, -1863, -1859, -1854,
1250                    -1850, -1845, -1841, -1837, -1832, -1828, -1823, -1819, -1815, -1811, -1806, -1802,
1251                    -1798, -1794, -1789, -1785, -1781, -1777, -1773, -1769, -1764, -1760, -1756, -1752,
1252                    -1748, -1744, -1740, -1736, -1732, -1728, -1724, -1720, -1716, -1712, -1708, -1704,
1253                    -1700, -1697, -1693, -1689, -1685, -1681, -1677, -1674, -1670, -1666, -1662, -1658,
1254                    -1655, -1651, -1647, -1644, -1640, -1636, -1632, -1629, -1625, -1622, -1618, -1614,
1255                    -1611, -1607, -1604, -1600, -1596, -1593, -1589, -1586, -1582, -1579, -1575, -1572,
1256                    -1568, -1565, -1561, -1558, -1555, -1551, -1548, -1544, -1541, -1538, -1534, -1531,
1257                    -1528, -1524, -1521, -1518, -1514, -1511, -1508, -1505, -1501, -1498, -1495, -1492,
1258                    -1488, -1485, -1482, -1479, -1476, -1472, -1469, -1466, -1463, -1460, -1457, -1454,
1259                    -1450, -1447, -1444, -1441, -1438, -1435, -1432, -1429, -1426, -1423, -1420, -1417,
1260                    -1414, -1411, -1408, -1405, -1402, -1399, -1396, -1393, -1390, -1387, -1384, -1381,
1261                    -1378, -1376, -1373, -1370, -1367, -1364, -1361, -1358, -1355, -1353, -1350, -1347,
1262                    -1344, -1341, -1339, -1336, -1333, -1330, -1327, -1325, -1322, -1319, -1316, -1314,
1263                    -1311, -1308, -1306, -1303, -1300, -1298, -1295, -1292, -1290, -1287, -1284, -1282,
1264                    -1279, -1276, -1274, -1271, -1268, -1266, -1263, -1261, -1258, -1255, -1253, -1250,
1265                    -1248, -1245, -1243, -1240, -1238, -1235, -1233, -1230, -1228, -1225, -1223, -1220,
1266                    -1218, -1215, -1213, -1210, -1208, -1205, -1203, -1200, -1198, -1195, -1193, -1191,
1267                    -1188, -1186, -1183, -1181, -1179, -1176, -1174, -1171, -1169, -1167, -1164, -1162,
1268                    -1160, -1157, -1155, -1153, -1150, -1148, -1146, -1143, -1141, -1139, -1136, -1134,
1269                    -1132, -1130, -1127, -1125, -1123, -1121, -1118, -1116, -1114, -1112, -1109, -1107,
1270                    -1105, -1103, -1100, -1098, -1096, -1094, -1092, -1089, -1087, -1085, -1083, -1081,
1271                    -1079, -1076, -1074, -1072, -1070, -1068, -1066, -1064, -1061, -1059, -1057, -1055,
1272                    -1053, -1051, -1049, -1047, -1045, -1042, -1040, -1038, -1036, -1034, -1032, -1030,
1273                    -1028, -1026, -1024, -1022, -1020, -1018, -1016, -1014, -1012, -1010, -1008, -1006,
1274                    -1004, -1002, -1000, -998, -996, -994, -992, -990, -988, -986, -984, -982,
1275                    -980, -978, -976, -974, -972, -970, -968, -966, -964, -962, -960, -958, -957, -955,
1276                    -953, -951, -949, -947, -945, -943, -941, -939, -938, -936, -934, -932, -930, -928,
1277                    -926, -924, -923, -921, -919, -917, -915, -913, -912, -910, -908, -906, -904, -902,
1278                    -901, -899, -897, -895, -893, -892, -890, -888, -886, -885, -883, -881, -879, -877,
1279                    -876, -874, -872, -870, -869, -867, -865, -863, -862, -860, -858, -856, -855, -853,
1280                    -851, -849, -848, -846, -844, -843, -841, -839, -837, -836, -834, -832, -831, -829,
1281                    -827, -826, -824, -822, -821, -819, -817, -816, -814, -812, -811, -809, -807, -806,
1282                    -804, -802, -801, -799, -797, -796, -794, -793, -791, -789, -788, -786, -784, -783,
1283                    -781, -780, -778, -776, -775, -773, -772, -770, -768, -767, -765, -764, -762, -760,
1284                    -759, -757, -756, -754, -753, -751, -750, -748, -746, -745, -743, -742, -740, -739,
1285                    -737, -736, -734, -732, -731, -729, -728, -726, -725, -723, -722, -720, -719, -717,
1286                    -716, -714, -713, -711, -710, -708, -707, -705, -704, -702, -701, -699, -698, -696,
1287                    -695, -693, -692, -690, -689, -687, -686, -684, -683, -681, -680, -679, -677, -676,
1288                    -674, -673, -671, -670, -668, -667, -665, -664, -663, -661, -660, -658, -657, -655,
1289                    -654, -653, -651, -650, -648, -647, -645, -644, -643, -641, -640, -638, -637, -636,
1290                    -634, -633, -631, -630, -629, -627, -626, -624, -623, -622, -620, -619, -617, -616,
1291                    -615, -613, -612, -611, -609, -608, -607, -605, -604, -602, -601, -600, -598, -597,
1292                    -596, -594, -593, -592, -590, -589, -588, -586, -585, -583, -582, -581, -579, -578,
1293                    -577, -575, -574, -573, -571, -570, -569, -568, -566, -565, -564, -562, -561, -560,
1294                    -558, -557, -556, -554, -553, -552, -550, -549, -548, -547, -545, -544, -543, -541,
1295                    -540, -539, -537, -536, -535, -534, -532, -531, -530, -528, -527, -526, -525, -523,
1296                    -522, -521, -520, -518, -517, -516, -515, -513, -512, -511, -509, -508, -507, -506,
1297                    -504, -503, -502, -501, -499, -498, -497, -496, -494, -493, -492, -491, -489, -488,
1298                    -487, -486, -485, -483, -482, -481, -480, -478, -477, -476, -475, -473, -472, -471,
1299                    -470, -469, -467, -466, -465, -464, -462, -461, -460, -459, -458, -456, -455, -454,
1300                    -453, -452, -450, -449, -448, -447, -446, -444, -443, -442, -441, -440, -438, -437,
1301                    -436, -435, -434, -432, -431, -430, -429, -428, -427, -425, -424, -423, -422, -421,
1302                    -419, -418, -417, -416, -415, -414, -412, -411, -410, -409, -408, -407, -405, -404,
1303                    -403, -402, -401, -400, -398, -397, -396, -395, -394, -393, -392, -390, -389, -388,
1304                    -387, -386, -385, -383, -382, -381, -380, -379, -378, -377, -375, -374, -373, -372,
1305                    -371, -370, -369, -368, -366, -365, -364, -363, -362, -361, -360, -358, -357, -356,
1306                    -355, -354, -353, -352, -351, -349, -348, -347, -346, -345, -344, -343, -342, -340,
1307                    -339, -338, -337, -336, -335, -334, -333, -332, -330, -329, -328, -327, -326, -325,
1308                    -324, -323, -322, -321, -319, -318, -317, -316, -315, -314, -313, -312, -311, -310,
1309                    -308, -307, -306, -305, -304, -303, -302, -301, -300, -299, -298, -296, -295, -294,
1310                    -293, -292, -291, -290, -289, -288, -287, -286, -285, -283, -282, -281, -280, -279,
1311                    -278, -277, -276, -275, -274, -273, -272, -271, -269, -268, -267, -266, -265, -264,
1312                    -263, -262, -261, -260, -259, -258, -257, -256, -254, -253, -252, -251, -250, -249,
1313                    -248, -247, -246, -245, -244, -243, -242, -241, -240, -239, -238, -236, -235, -234,
1314                    -233, -232, -231, -230, -229, -228, -227, -226, -225, -224, -223, -222, -221, -220,
1315                    -219, -218, -216, -215, -214, -213, -212, -211, -210, -209, -208, -207, -206, -205,
1316                    -204, -203, -202, -201, -200, -199, -198, -197, -196, -195, -194, -193, -191, -190,
1317                    -189, -188, -187, -186, -185, -184, -183, -182, -181, -180, -179, -178, -177, -176,
1318                    -175, -174, -173, -172, -171, -170, -169, -168, -167, -166, -165, -164, -163, -162,
1319                    -161, -160, -158, -157, -156, -155, -154, -153, -152, -151, -150, -149, -148, -147,
1320                    -146, -145, -144, -143, -142, -141, -140, -139, -138, -137, -136, -135, -134, -133,
1321                    -132, -131, -130, -129, -128, -127, -126, -125, -124, -123, -122, -121, -120, -119,
1322                    -118, -117, -116, -115, -114, -113, -112, -111, -110, -109, -108, -107, -106, -105,
1323                    -104, -103, -102, -101, -100, -99, -97, -96, -95, -94, -93, -92, -91, -90, -89, -88,
1324                    -87, -86, -85, -84, -83, -82, -81, -80, -79, -78, -77, -76, -75, -74, -73, -72,
1325                    -71, -70, -69, -68, -67, -66, -65, -64, -63, -62, -61, -60, -59, -58, -57, -56,
1326                    -55, -54, -53, -52, -51, -50, -49, -48, -47, -46, -45, -44, -43, -42, -41, -40,
1327                    -39, -38, -37, -36, -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25, -24,
1328                    -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9, -8,
1329                    -7, -6, -5, -4, -3, -2, -1,
1330                ]
1331            },
1332            arcsine_array: {
1333                [
1334                    -1571, -1526, -1508, -1493, -1481, -1471, -1461, -1452, -1444, -1437, -1429, -1422,
1335                    -1416, -1409, -1403, -1397, -1392, -1386, -1381, -1376, -1370, -1365, -1361, -1356,
1336                    -1351, -1347, -1342, -1338, -1334, -1329, -1325, -1321, -1317, -1313, -1309, -1305,
1337                    -1302, -1298, -1294, -1291, -1287, -1283, -1280, -1276, -1273, -1270, -1266, -1263,
1338                    -1260, -1256, -1253, -1250, -1247, -1244, -1241, -1238, -1235, -1232, -1229, -1226,
1339                    -1223, -1220, -1217, -1214, -1211, -1208, -1205, -1203, -1200, -1197, -1194, -1192,
1340                    -1189, -1186, -1184, -1181, -1178, -1176, -1173, -1171, -1168, -1166, -1163, -1160,
1341                    -1158, -1156, -1153, -1151, -1148, -1146, -1143, -1141, -1138, -1136, -1134, -1131,
1342                    -1129, -1127, -1124, -1122, -1120, -1117, -1115, -1113, -1111, -1108, -1106, -1104,
1343                    -1102, -1100, -1097, -1095, -1093, -1091, -1089, -1086, -1084, -1082, -1080, -1078,
1344                    -1076, -1074, -1072, -1070, -1068, -1065, -1063, -1061, -1059, -1057, -1055, -1053,
1345                    -1051, -1049, -1047, -1045, -1043, -1041, -1039, -1037, -1035, -1033, -1031, -1029,
1346                    -1027, -1026, -1024, -1022, -1020, -1018, -1016, -1014, -1012, -1010, -1008, -1007,
1347                    -1005, -1003, -1001, -999, -997, -995, -994, -992, -990, -988, -986, -985,
1348                    -983, -981, -979, -977, -976, -974, -972, -970, -968, -967, -965, -963, -961, -960,
1349                    -958, -956, -954, -953, -951, -949, -948, -946, -944, -942, -941, -939, -937, -936,
1350                    -934, -932, -931, -929, -927, -926, -924, -922, -921, -919, -917, -916, -914, -912,
1351                    -911, -909, -908, -906, -904, -903, -901, -899, -898, -896, -895, -893, -891, -890,
1352                    -888, -887, -885, -884, -882, -880, -879, -877, -876, -874, -873, -871, -869, -868,
1353                    -866, -865, -863, -862, -860, -859, -857, -856, -854, -853, -851, -850, -848, -847,
1354                    -845, -844, -842, -841, -839, -838, -836, -835, -833, -832, -830, -829, -827, -826,
1355                    -824, -823, -821, -820, -818, -817, -815, -814, -812, -811, -810, -808, -807, -805,
1356                    -804, -802, -801, -799, -798, -797, -795, -794, -792, -791, -789, -788, -787, -785,
1357                    -784, -782, -781, -780, -778, -777, -775, -774, -773, -771, -770, -768, -767, -766,
1358                    -764, -763, -761, -760, -759, -757, -756, -755, -753, -752, -750, -749, -748, -746,
1359                    -745, -744, -742, -741, -740, -738, -737, -736, -734, -733, -732, -730, -729, -727,
1360                    -726, -725, -723, -722, -721, -719, -718, -717, -716, -714, -713, -712, -710, -709,
1361                    -708, -706, -705, -704, -702, -701, -700, -698, -697, -696, -694, -693, -692, -691,
1362                    -689, -688, -687, -685, -684, -683, -682, -680, -679, -678, -676, -675, -674, -673,
1363                    -671, -670, -669, -667, -666, -665, -664, -662, -661, -660, -659, -657, -656, -655,
1364                    -654, -652, -651, -650, -649, -647, -646, -645, -644, -642, -641, -640, -639, -637,
1365                    -636, -635, -634, -632, -631, -630, -629, -627, -626, -625, -624, -622, -621, -620,
1366                    -619, -618, -616, -615, -614, -613, -611, -610, -609, -608, -607, -605, -604, -603,
1367                    -602, -600, -599, -598, -597, -596, -594, -593, -592, -591, -590, -588, -587, -586,
1368                    -585, -584, -582, -581, -580, -579, -578, -576, -575, -574, -573, -572, -570, -569,
1369                    -568, -567, -566, -565, -563, -562, -561, -560, -559, -557, -556, -555, -554, -553,
1370                    -552, -550, -549, -548, -547, -546, -545, -543, -542, -541, -540, -539, -538, -536,
1371                    -535, -534, -533, -532, -531, -529, -528, -527, -526, -525, -524, -522, -521, -520,
1372                    -519, -518, -517, -516, -514, -513, -512, -511, -510, -509, -508, -506, -505, -504,
1373                    -503, -502, -501, -500, -498, -497, -496, -495, -494, -493, -492, -490, -489, -488,
1374                    -487, -486, -485, -484, -483, -481, -480, -479, -478, -477, -476, -475, -473, -472,
1375                    -471, -470, -469, -468, -467, -466, -465, -463, -462, -461, -460, -459, -458, -457,
1376                    -456, -454, -453, -452, -451, -450, -449, -448, -447, -446, -444, -443, -442, -441,
1377                    -440, -439, -438, -437, -436, -435, -433, -432, -431, -430, -429, -428, -427, -426,
1378                    -425, -424, -422, -421, -420, -419, -418, -417, -416, -415, -414, -413, -412, -410,
1379                    -409, -408, -407, -406, -405, -404, -403, -402, -401, -400, -398, -397, -396, -395,
1380                    -394, -393, -392, -391, -390, -389, -388, -387, -385, -384, -383, -382, -381, -380,
1381                    -379, -378, -377, -376, -375, -374, -373, -371, -370, -369, -368, -367, -366, -365,
1382                    -364, -363, -362, -361, -360, -359, -358, -357, -355, -354, -353, -352, -351, -350,
1383                    -349, -348, -347, -346, -345, -344, -343, -342, -341, -339, -338, -337, -336, -335,
1384                    -334, -333, -332, -331, -330, -329, -328, -327, -326, -325, -324, -323, -322, -320,
1385                    -319, -318, -317, -316, -315, -314, -313, -312, -311, -310, -309, -308, -307, -306,
1386                    -305, -304, -303, -302, -301, -299, -298, -297, -296, -295, -294, -293, -292, -291,
1387                    -290, -289, -288, -287, -286, -285, -284, -283, -282, -281, -280, -279, -278, -277,
1388                    -275, -274, -273, -272, -271, -270, -269, -268, -267, -266, -265, -264, -263, -262,
1389                    -261, -260, -259, -258, -257, -256, -255, -254, -253, -252, -251, -250, -249, -248,
1390                    -246, -245, -244, -243, -242, -241, -240, -239, -238, -237, -236, -235, -234, -233,
1391                    -232, -231, -230, -229, -228, -227, -226, -225, -224, -223, -222, -221, -220, -219,
1392                    -218, -217, -216, -215, -214, -213, -212, -211, -210, -209, -207, -206, -205, -204,
1393                    -203, -202, -201, -200, -199, -198, -197, -196, -195, -194, -193, -192, -191, -190,
1394                    -189, -188, -187, -186, -185, -184, -183, -182, -181, -180, -179, -178, -177, -176,
1395                    -175, -174, -173, -172, -171, -170, -169, -168, -167, -166, -165, -164, -163, -162,
1396                    -161, -160, -159, -158, -157, -156, -155, -154, -153, -152, -151, -150, -149, -148,
1397                    -147, -146, -145, -143, -142, -141, -140, -139, -138, -137, -136, -135, -134, -133,
1398                    -132, -131, -130, -129, -128, -127, -126, -125, -124, -123, -122, -121, -120, -119,
1399                    -118, -117, -116, -115, -114, -113, -112, -111, -110, -109, -108, -107, -106, -105,
1400                    -104, -103, -102, -101, -100, -99, -98, -97, -96, -95, -94, -93, -92, -91, -90, -89,
1401                    -88, -87, -86, -85, -84, -83, -82, -81, -80, -79, -78, -77, -76, -75, -74, -73,
1402                    -72, -71, -70, -69, -68, -67, -66, -65, -64, -63, -62, -61, -60, -59, -58, -57,
1403                    -56, -55, -54, -53, -52, -51, -50, -49, -48, -47, -46, -45, -44, -43, -42, -41,
1404                    -40, -39, -38, -37, -36, -35, -34, -33, -32, -31, -30, -29, -28, -27, -26, -25,
1405                    -24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14, -13, -12, -11, -10, -9,
1406                    -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,
1407                    14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33,
1408                    34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,
1409                    54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73,
1410                    74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93,
1411                    94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,
1412                    112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127,
1413                    128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143,
1414                    145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160,
1415                    161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176,
1416                    177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192,
1417                    193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 209,
1418                    210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225,
1419                    226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241,
1420                    242, 243, 244, 245, 246, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258,
1421                    259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274,
1422                    275, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291,
1423                    292, 293, 294, 295, 296, 297, 298, 299, 301, 302, 303, 304, 305, 306, 307, 308,
1424                    309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 322, 323, 324, 325,
1425                    326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 341, 342,
1426                    343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 357, 358, 359,
1427                    360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 373, 374, 375, 376,
1428                    377, 378, 379, 380, 381, 382, 383, 384, 385, 387, 388, 389, 390, 391, 392, 393,
1429                    394, 395, 396, 397, 398, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410,
1430                    412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 424, 425, 426, 427, 428,
1431                    429, 430, 431, 432, 433, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 446,
1432                    447, 448, 449, 450, 451, 452, 453, 454, 456, 457, 458, 459, 460, 461, 462, 463,
1433                    465, 466, 467, 468, 469, 470, 471, 472, 473, 475, 476, 477, 478, 479, 480, 481,
1434                    483, 484, 485, 486, 487, 488, 489, 490, 492, 493, 494, 495, 496, 497, 498, 500,
1435                    501, 502, 503, 504, 505, 506, 508, 509, 510, 511, 512, 513, 514, 516, 517, 518,
1436                    519, 520, 521, 522, 524, 525, 526, 527, 528, 529, 531, 532, 533, 534, 535, 536,
1437                    538, 539, 540, 541, 542, 543, 545, 546, 547, 548, 549, 550, 552, 553, 554, 555,
1438                    556, 557, 559, 560, 561, 562, 563, 565, 566, 567, 568, 569, 570, 572, 573, 574,
1439                    575, 576, 578, 579, 580, 581, 582, 584, 585, 586, 587, 588, 590, 591, 592, 593,
1440                    594, 596, 597, 598, 599, 600, 602, 603, 604, 605, 607, 608, 609, 610, 611, 613,
1441                    614, 615, 616, 618, 619, 620, 621, 622, 624, 625, 626, 627, 629, 630, 631, 632,
1442                    634, 635, 636, 637, 639, 640, 641, 642, 644, 645, 646, 647, 649, 650, 651, 652,
1443                    654, 655, 656, 657, 659, 660, 661, 662, 664, 665, 666, 667, 669, 670, 671, 673,
1444                    674, 675, 676, 678, 679, 680, 682, 683, 684, 685, 687, 688, 689, 691, 692, 693,
1445                    694, 696, 697, 698, 700, 701, 702, 704, 705, 706, 708, 709, 710, 712, 713, 714,
1446                    716, 717, 718, 719, 721, 722, 723, 725, 726, 727, 729, 730, 732, 733, 734, 736,
1447                    737, 738, 740, 741, 742, 744, 745, 746, 748, 749, 750, 752, 753, 755, 756, 757,
1448                    759, 760, 761, 763, 764, 766, 767, 768, 770, 771, 773, 774, 775, 777, 778, 780,
1449                    781, 782, 784, 785, 787, 788, 789, 791, 792, 794, 795, 797, 798, 799, 801, 802,
1450                    804, 805, 807, 808, 810, 811, 812, 814, 815, 817, 818, 820, 821, 823, 824, 826,
1451                    827, 829, 830, 832, 833, 835, 836, 838, 839, 841, 842, 844, 845, 847, 848, 850,
1452                    851, 853, 854, 856, 857, 859, 860, 862, 863, 865, 866, 868, 869, 871, 873, 874,
1453                    876, 877, 879, 880, 882, 884, 885, 887, 888, 890, 891, 893, 895, 896, 898, 899,
1454                    901, 903, 904, 906, 908, 909, 911, 912, 914, 916, 917, 919, 921, 922, 924, 926,
1455                    927, 929, 931, 932, 934, 936, 937, 939, 941, 942, 944, 946, 948, 949, 951, 953,
1456                    954, 956, 958, 960, 961, 963, 965, 967, 968, 970, 972, 974, 976, 977, 979, 981,
1457                    983, 985, 986, 988, 990, 992, 994, 995, 997, 999, 1001, 1003, 1005, 1007, 1008, 1010,
1458                    1012, 1014, 1016, 1018, 1020, 1022, 1024, 1026, 1027, 1029, 1031, 1033, 1035, 1037,
1459                    1039, 1041, 1043, 1045, 1047, 1049, 1051, 1053, 1055, 1057, 1059, 1061, 1063, 1065,
1460                    1068, 1070, 1072, 1074, 1076, 1078, 1080, 1082, 1084, 1086, 1089, 1091, 1093, 1095,
1461                    1097, 1100, 1102, 1104, 1106, 1108, 1111, 1113, 1115, 1117, 1120, 1122, 1124, 1127,
1462                    1129, 1131, 1134, 1136, 1138, 1141, 1143, 1146, 1148, 1151, 1153, 1156, 1158, 1160,
1463                    1163, 1166, 1168, 1171, 1173, 1176, 1178, 1181, 1184, 1186, 1189, 1192, 1194, 1197,
1464                    1200, 1203, 1205, 1208, 1211, 1214, 1217, 1220, 1223, 1226, 1229, 1232, 1235, 1238,
1465                    1241, 1244, 1247, 1250, 1253, 1256, 1260, 1263, 1266, 1270, 1273, 1276, 1280, 1283,
1466                    1287, 1291, 1294, 1298, 1302, 1305, 1309, 1313, 1317, 1321, 1325, 1329, 1334, 1338,
1467                    1342, 1347, 1351, 1356, 1361, 1365, 1370, 1376, 1381, 1386, 1392, 1397, 1403, 1409,
1468                    1416, 1422, 1429, 1437, 1444, 1452, 1461, 1471, 1481, 1493, 1508, 1526, 1571,
1469                ]
1470            },
1471            arccosine_array: {
1472                [
1473                    3142, 3097, 3078, 3064, 3052, 3042, 3032, 3023, 3015, 3007, 3000, 2993, 2987, 2980,
1474                    2974, 2968, 2962, 2957, 2952, 2946, 2941, 2936, 2931, 2927, 2922, 2918, 2913, 2909,
1475                    2904, 2900, 2896, 2892, 2888, 2884, 2880, 2876, 2872, 2869, 2865, 2861, 2858, 2854,
1476                    2851, 2847, 2844, 2840, 2837, 2834, 2831, 2827, 2824, 2821, 2818, 2815, 2811, 2808,
1477                    2805, 2802, 2799, 2796, 2793, 2791, 2788, 2785, 2782, 2779, 2776, 2773, 2771, 2768,
1478                    2765, 2762, 2760, 2757, 2754, 2752, 2749, 2747, 2744, 2741, 2739, 2736, 2734, 2731,
1479                    2729, 2726, 2724, 2721, 2719, 2716, 2714, 2712, 2709, 2707, 2705, 2702, 2700, 2697,
1480                    2695, 2693, 2691, 2688, 2686, 2684, 2681, 2679, 2677, 2675, 2673, 2670, 2668, 2666,
1481                    2664, 2662, 2659, 2657, 2655, 2653, 2651, 2649, 2647, 2645, 2642, 2640, 2638, 2636,
1482                    2634, 2632, 2630, 2628, 2626, 2624, 2622, 2620, 2618, 2616, 2614, 2612, 2610, 2608,
1483                    2606, 2604, 2602, 2600, 2598, 2596, 2594, 2593, 2591, 2589, 2587, 2585, 2583, 2581,
1484                    2579, 2577, 2575, 2574, 2572, 2570, 2568, 2566, 2564, 2563, 2561, 2559, 2557, 2555,
1485                    2553, 2552, 2550, 2548, 2546, 2545, 2543, 2541, 2539, 2537, 2536, 2534, 2532, 2530,
1486                    2529, 2527, 2525, 2524, 2522, 2520, 2518, 2517, 2515, 2513, 2512, 2510, 2508, 2506,
1487                    2505, 2503, 2501, 2500, 2498, 2496, 2495, 2493, 2491, 2490, 2488, 2487, 2485, 2483,
1488                    2482, 2480, 2478, 2477, 2475, 2473, 2472, 2470, 2469, 2467, 2465, 2464, 2462, 2461,
1489                    2459, 2458, 2456, 2454, 2453, 2451, 2450, 2448, 2447, 2445, 2443, 2442, 2440, 2439,
1490                    2437, 2436, 2434, 2433, 2431, 2430, 2428, 2426, 2425, 2423, 2422, 2420, 2419, 2417,
1491                    2416, 2414, 2413, 2411, 2410, 2408, 2407, 2405, 2404, 2402, 2401, 2399, 2398, 2396,
1492                    2395, 2394, 2392, 2391, 2389, 2388, 2386, 2385, 2383, 2382, 2380, 2379, 2377, 2376,
1493                    2375, 2373, 2372, 2370, 2369, 2367, 2366, 2365, 2363, 2362, 2360, 2359, 2357, 2356,
1494                    2355, 2353, 2352, 2350, 2349, 2348, 2346, 2345, 2343, 2342, 2341, 2339, 2338, 2336,
1495                    2335, 2334, 2332, 2331, 2330, 2328, 2327, 2325, 2324, 2323, 2321, 2320, 2319, 2317,
1496                    2316, 2314, 2313, 2312, 2310, 2309, 2308, 2306, 2305, 2304, 2302, 2301, 2300, 2298,
1497                    2297, 2296, 2294, 2293, 2292, 2290, 2289, 2288, 2286, 2285, 2284, 2282, 2281, 2280,
1498                    2278, 2277, 2276, 2274, 2273, 2272, 2271, 2269, 2268, 2267, 2265, 2264, 2263, 2261,
1499                    2260, 2259, 2258, 2256, 2255, 2254, 2252, 2251, 2250, 2248, 2247, 2246, 2245, 2243,
1500                    2242, 2241, 2240, 2238, 2237, 2236, 2234, 2233, 2232, 2231, 2229, 2228, 2227, 2226,
1501                    2224, 2223, 2222, 2221, 2219, 2218, 2217, 2216, 2214, 2213, 2212, 2211, 2209, 2208,
1502                    2207, 2206, 2204, 2203, 2202, 2201, 2199, 2198, 2197, 2196, 2194, 2193, 2192, 2191,
1503                    2190, 2188, 2187, 2186, 2185, 2183, 2182, 2181, 2180, 2179, 2177, 2176, 2175, 2174,
1504                    2172, 2171, 2170, 2169, 2168, 2166, 2165, 2164, 2163, 2162, 2160, 2159, 2158, 2157,
1505                    2156, 2154, 2153, 2152, 2151, 2150, 2148, 2147, 2146, 2145, 2144, 2142, 2141, 2140,
1506                    2139, 2138, 2136, 2135, 2134, 2133, 2132, 2131, 2129, 2128, 2127, 2126, 2125, 2124,
1507                    2122, 2121, 2120, 2119, 2118, 2116, 2115, 2114, 2113, 2112, 2111, 2109, 2108, 2107,
1508                    2106, 2105, 2104, 2102, 2101, 2100, 2099, 2098, 2097, 2096, 2094, 2093, 2092, 2091,
1509                    2090, 2089, 2087, 2086, 2085, 2084, 2083, 2082, 2081, 2079, 2078, 2077, 2076, 2075,
1510                    2074, 2073, 2071, 2070, 2069, 2068, 2067, 2066, 2065, 2063, 2062, 2061, 2060, 2059,
1511                    2058, 2057, 2056, 2054, 2053, 2052, 2051, 2050, 2049, 2048, 2047, 2045, 2044, 2043,
1512                    2042, 2041, 2040, 2039, 2038, 2036, 2035, 2034, 2033, 2032, 2031, 2030, 2029, 2028,
1513                    2026, 2025, 2024, 2023, 2022, 2021, 2020, 2019, 2018, 2016, 2015, 2014, 2013, 2012,
1514                    2011, 2010, 2009, 2008, 2006, 2005, 2004, 2003, 2002, 2001, 2000, 1999, 1998, 1997,
1515                    1995, 1994, 1993, 1992, 1991, 1990, 1989, 1988, 1987, 1986, 1984, 1983, 1982, 1981,
1516                    1980, 1979, 1978, 1977, 1976, 1975, 1974, 1973, 1971, 1970, 1969, 1968, 1967, 1966,
1517                    1965, 1964, 1963, 1962, 1961, 1960, 1958, 1957, 1956, 1955, 1954, 1953, 1952, 1951,
1518                    1950, 1949, 1948, 1947, 1946, 1944, 1943, 1942, 1941, 1940, 1939, 1938, 1937, 1936,
1519                    1935, 1934, 1933, 1932, 1931, 1929, 1928, 1927, 1926, 1925, 1924, 1923, 1922, 1921,
1520                    1920, 1919, 1918, 1917, 1916, 1915, 1913, 1912, 1911, 1910, 1909, 1908, 1907, 1906,
1521                    1905, 1904, 1903, 1902, 1901, 1900, 1899, 1898, 1897, 1895, 1894, 1893, 1892, 1891,
1522                    1890, 1889, 1888, 1887, 1886, 1885, 1884, 1883, 1882, 1881, 1880, 1879, 1878, 1877,
1523                    1875, 1874, 1873, 1872, 1871, 1870, 1869, 1868, 1867, 1866, 1865, 1864, 1863, 1862,
1524                    1861, 1860, 1859, 1858, 1857, 1856, 1855, 1854, 1853, 1851, 1850, 1849, 1848, 1847,
1525                    1846, 1845, 1844, 1843, 1842, 1841, 1840, 1839, 1838, 1837, 1836, 1835, 1834, 1833,
1526                    1832, 1831, 1830, 1829, 1828, 1827, 1826, 1825, 1823, 1822, 1821, 1820, 1819, 1818,
1527                    1817, 1816, 1815, 1814, 1813, 1812, 1811, 1810, 1809, 1808, 1807, 1806, 1805, 1804,
1528                    1803, 1802, 1801, 1800, 1799, 1798, 1797, 1796, 1795, 1794, 1793, 1792, 1791, 1790,
1529                    1789, 1787, 1786, 1785, 1784, 1783, 1782, 1781, 1780, 1779, 1778, 1777, 1776, 1775,
1530                    1774, 1773, 1772, 1771, 1770, 1769, 1768, 1767, 1766, 1765, 1764, 1763, 1762, 1761,
1531                    1760, 1759, 1758, 1757, 1756, 1755, 1754, 1753, 1752, 1751, 1750, 1749, 1748, 1747,
1532                    1746, 1745, 1744, 1743, 1742, 1741, 1740, 1739, 1738, 1737, 1736, 1735, 1734, 1733,
1533                    1731, 1730, 1729, 1728, 1727, 1726, 1725, 1724, 1723, 1722, 1721, 1720, 1719, 1718,
1534                    1717, 1716, 1715, 1714, 1713, 1712, 1711, 1710, 1709, 1708, 1707, 1706, 1705, 1704,
1535                    1703, 1702, 1701, 1700, 1699, 1698, 1697, 1696, 1695, 1694, 1693, 1692, 1691, 1690,
1536                    1689, 1688, 1687, 1686, 1685, 1684, 1683, 1682, 1681, 1680, 1679, 1678, 1677, 1676,
1537                    1675, 1674, 1673, 1672, 1671, 1670, 1669, 1668, 1667, 1666, 1665, 1664, 1663, 1662,
1538                    1661, 1660, 1659, 1658, 1657, 1656, 1655, 1654, 1653, 1652, 1651, 1650, 1649, 1648,
1539                    1647, 1646, 1645, 1644, 1643, 1642, 1641, 1640, 1639, 1638, 1637, 1636, 1635, 1634,
1540                    1633, 1632, 1631, 1630, 1629, 1628, 1627, 1626, 1625, 1624, 1623, 1622, 1621, 1620,
1541                    1619, 1618, 1617, 1616, 1615, 1614, 1613, 1612, 1611, 1610, 1609, 1608, 1607, 1606,
1542                    1605, 1604, 1603, 1602, 1601, 1600, 1599, 1598, 1597, 1596, 1595, 1594, 1593, 1592,
1543                    1591, 1590, 1589, 1588, 1587, 1586, 1585, 1584, 1583, 1582, 1581, 1580, 1579, 1578,
1544                    1577, 1576, 1575, 1574, 1573, 1572, 1571, 1570, 1569, 1568, 1567, 1566, 1565, 1564,
1545                    1563, 1562, 1561, 1560, 1559, 1558, 1557, 1556, 1555, 1554, 1553, 1552, 1551, 1550,
1546                    1549, 1548, 1547, 1546, 1545, 1544, 1543, 1542, 1541, 1540, 1539, 1538, 1537, 1536,
1547                    1535, 1534, 1533, 1532, 1531, 1530, 1529, 1528, 1527, 1526, 1525, 1524, 1523, 1522,
1548                    1521, 1520, 1519, 1518, 1517, 1516, 1515, 1514, 1513, 1512, 1511, 1510, 1509, 1508,
1549                    1507, 1506, 1505, 1504, 1503, 1502, 1501, 1500, 1499, 1498, 1497, 1496, 1495, 1494,
1550                    1493, 1492, 1491, 1490, 1489, 1488, 1487, 1486, 1485, 1484, 1483, 1482, 1481, 1480,
1551                    1479, 1478, 1477, 1476, 1475, 1474, 1473, 1472, 1471, 1470, 1469, 1468, 1467, 1466,
1552                    1465, 1464, 1463, 1462, 1461, 1460, 1459, 1458, 1457, 1456, 1455, 1454, 1453, 1452,
1553                    1451, 1449, 1448, 1447, 1446, 1445, 1444, 1443, 1442, 1441, 1440, 1439, 1438, 1437,
1554                    1436, 1435, 1434, 1433, 1432, 1431, 1430, 1429, 1428, 1427, 1426, 1425, 1424, 1423,
1555                    1422, 1421, 1420, 1419, 1418, 1417, 1416, 1415, 1414, 1413, 1412, 1411, 1410, 1409,
1556                    1408, 1407, 1406, 1405, 1404, 1403, 1402, 1401, 1400, 1399, 1398, 1397, 1396, 1395,
1557                    1394, 1393, 1392, 1391, 1390, 1389, 1388, 1387, 1386, 1385, 1384, 1383, 1382, 1381,
1558                    1380, 1379, 1378, 1377, 1376, 1375, 1374, 1372, 1371, 1370, 1369, 1368, 1367, 1366,
1559                    1365, 1364, 1363, 1362, 1361, 1360, 1359, 1358, 1357, 1356, 1355, 1354, 1353, 1352,
1560                    1351, 1350, 1349, 1348, 1347, 1346, 1345, 1344, 1343, 1342, 1341, 1340, 1339, 1338,
1561                    1337, 1336, 1335, 1334, 1333, 1332, 1330, 1329, 1328, 1327, 1326, 1325, 1324, 1323,
1562                    1322, 1321, 1320, 1319, 1318, 1317, 1316, 1315, 1314, 1313, 1312, 1311, 1310, 1309,
1563                    1308, 1307, 1306, 1305, 1304, 1303, 1302, 1301, 1299, 1298, 1297, 1296, 1295, 1294,
1564                    1293, 1292, 1291, 1290, 1289, 1288, 1287, 1286, 1285, 1284, 1283, 1282, 1281, 1280,
1565                    1279, 1278, 1277, 1276, 1274, 1273, 1272, 1271, 1270, 1269, 1268, 1267, 1266, 1265,
1566                    1264, 1263, 1262, 1261, 1260, 1259, 1258, 1257, 1256, 1255, 1253, 1252, 1251, 1250,
1567                    1249, 1248, 1247, 1246, 1245, 1244, 1243, 1242, 1241, 1240, 1239, 1238, 1237, 1236,
1568                    1234, 1233, 1232, 1231, 1230, 1229, 1228, 1227, 1226, 1225, 1224, 1223, 1222, 1221,
1569                    1220, 1219, 1217, 1216, 1215, 1214, 1213, 1212, 1211, 1210, 1209, 1208, 1207, 1206,
1570                    1205, 1204, 1203, 1201, 1200, 1199, 1198, 1197, 1196, 1195, 1194, 1193, 1192, 1191,
1571                    1190, 1189, 1187, 1186, 1185, 1184, 1183, 1182, 1181, 1180, 1179, 1178, 1177, 1176,
1572                    1175, 1173, 1172, 1171, 1170, 1169, 1168, 1167, 1166, 1165, 1164, 1163, 1161, 1160,
1573                    1159, 1158, 1157, 1156, 1155, 1154, 1153, 1152, 1151, 1149, 1148, 1147, 1146, 1145,
1574                    1144, 1143, 1142, 1141, 1140, 1138, 1137, 1136, 1135, 1134, 1133, 1132, 1131, 1130,
1575                    1129, 1127, 1126, 1125, 1124, 1123, 1122, 1121, 1120, 1119, 1117, 1116, 1115, 1114,
1576                    1113, 1112, 1111, 1110, 1109, 1107, 1106, 1105, 1104, 1103, 1102, 1101, 1100, 1098,
1577                    1097, 1096, 1095, 1094, 1093, 1092, 1091, 1089, 1088, 1087, 1086, 1085, 1084, 1083,
1578                    1082, 1080, 1079, 1078, 1077, 1076, 1075, 1074, 1072, 1071, 1070, 1069, 1068, 1067,
1579                    1066, 1064, 1063, 1062, 1061, 1060, 1059, 1058, 1056, 1055, 1054, 1053, 1052, 1051,
1580                    1050, 1048, 1047, 1046, 1045, 1044, 1043, 1041, 1040, 1039, 1038, 1037, 1036, 1034,
1581                    1033, 1032, 1031, 1030, 1029, 1027, 1026, 1025, 1024, 1023, 1022, 1020, 1019, 1018,
1582                    1017, 1016, 1015, 1013, 1012, 1011, 1010, 1009, 1007, 1006, 1005, 1004, 1003, 1002,
1583                    1000, 999, 998, 997, 996, 994, 993, 992, 991, 990, 988, 987, 986, 985, 984, 982,
1584                    981, 980, 979, 978, 976, 975, 974, 973, 972, 970, 969, 968, 967, 966, 964, 963,
1585                    962, 961, 959, 958, 957, 956, 955, 953, 952, 951, 950, 948, 947, 946, 945, 943,
1586                    942, 941, 940, 938, 937, 936, 935, 934, 932, 931, 930, 929, 927, 926, 925, 924,
1587                    922, 921, 920, 919, 917, 916, 915, 913, 912, 911, 910, 908, 907, 906, 905, 903,
1588                    902, 901, 900, 898, 897, 896, 894, 893, 892, 891, 889, 888, 887, 885, 884, 883,
1589                    881, 880, 879, 878, 876, 875, 874, 872, 871, 870, 868, 867, 866, 865, 863, 862,
1590                    861, 859, 858, 857, 855, 854, 853, 851, 850, 849, 847, 846, 845, 843, 842, 841,
1591                    839, 838, 837, 835, 834, 833, 831, 830, 828, 827, 826, 824, 823, 822, 820, 819,
1592                    818, 816, 815, 813, 812, 811, 809, 808, 807, 805, 804, 802, 801, 800, 798, 797,
1593                    795, 794, 793, 791, 790, 788, 787, 786, 784, 783, 781, 780, 778, 777, 776, 774,
1594                    773, 771, 770, 768, 767, 766, 764, 763, 761, 760, 758, 757, 755, 754, 752, 751,
1595                    750, 748, 747, 745, 744, 742, 741, 739, 738, 736, 735, 733, 732, 730, 729, 727,
1596                    726, 724, 723, 721, 720, 718, 717, 715, 714, 712, 711, 709, 707, 706, 704, 703,
1597                    701, 700, 698, 697, 695, 694, 692, 690, 689, 687, 686, 684, 682, 681, 679, 678,
1598                    676, 675, 673, 671, 670, 668, 666, 665, 663, 662, 660, 658, 657, 655, 653, 652,
1599                    650, 648, 647, 645, 644, 642, 640, 638, 637, 635, 633, 632, 630, 628, 627, 625,
1600                    623, 622, 620, 618, 616, 615, 613, 611, 609, 608, 606, 604, 602, 601, 599, 597,
1601                    595, 593, 592, 590, 588, 586, 584, 583, 581, 579, 577, 575, 574, 572, 570, 568,
1602                    566, 564, 562, 560, 559, 557, 555, 553, 551, 549, 547, 545, 543, 541, 539, 537,
1603                    536, 534, 532, 530, 528, 526, 524, 522, 520, 518, 516, 514, 512, 509, 507, 505,
1604                    503, 501, 499, 497, 495, 493, 491, 489, 486, 484, 482, 480, 478, 476, 473, 471,
1605                    469, 467, 465, 462, 460, 458, 456, 453, 451, 449, 446, 444, 442, 439, 437, 435,
1606                    432, 430, 428, 425, 423, 420, 418, 415, 413, 410, 408, 405, 403, 400, 398, 395,
1607                    392, 390, 387, 384, 382, 379, 376, 374, 371, 368, 365, 363, 360, 357, 354, 351,
1608                    348, 345, 342, 339, 336, 333, 330, 327, 324, 321, 318, 314, 311, 308, 304, 301,
1609                    298, 294, 291, 287, 284, 280, 277, 273, 269, 265, 262, 258, 254, 250, 246, 241,
1610                    237, 233, 229, 224, 220, 215, 210, 205, 200, 195, 190, 185, 179, 173, 168, 161,
1611                    155, 148, 142, 134, 127, 118, 110, 100, 89, 77, 63, 45, 0,
1612                ]
1613            },
1614
1615            arctangent_thousandths: {
1616                [
1617                    -1326, -1326, -1326, -1326, -1326, -1326, -1325, -1325, -1325, -1325, -1325, -1325,
1618                    -1325, -1325, -1325, -1325, -1325, -1325, -1325, -1325, -1325, -1325, -1325, -1324,
1619                    -1324, -1324, -1324, -1324, -1324, -1324, -1324, -1324, -1324, -1324, -1324, -1324,
1620                    -1324, -1324, -1324, -1324, -1323, -1323, -1323, -1323, -1323, -1323, -1323, -1323,
1621                    -1323, -1323, -1323, -1323, -1323, -1323, -1323, -1323, -1322, -1322, -1322, -1322,
1622                    -1322, -1322, -1322, -1322, -1322, -1322, -1322, -1322, -1322, -1322, -1322, -1322,
1623                    -1322, -1321, -1321, -1321, -1321, -1321, -1321, -1321, -1321, -1321, -1321, -1321,
1624                    -1321, -1321, -1321, -1321, -1321, -1320, -1320, -1320, -1320, -1320, -1320, -1320,
1625                    -1320, -1320, -1320, -1320, -1320, -1320, -1320, -1320, -1320, -1319, -1319, -1319,
1626                    -1319, -1319, -1319, -1319, -1319, -1319, -1319, -1319, -1319, -1319, -1319, -1319,
1627                    -1319, -1318, -1318, -1318, -1318, -1318, -1318, -1318, -1318, -1318, -1318, -1318,
1628                    -1318, -1318, -1318, -1318, -1318, -1317, -1317, -1317, -1317, -1317, -1317, -1317,
1629                    -1317, -1317, -1317, -1317, -1317, -1317, -1317, -1317, -1317, -1316, -1316, -1316,
1630                    -1316, -1316, -1316, -1316, -1316, -1316, -1316, -1316, -1316, -1316, -1316, -1316,
1631                    -1316, -1315, -1315, -1315, -1315, -1315, -1315, -1315, -1315, -1315, -1315, -1315,
1632                    -1315, -1315, -1315, -1315, -1315, -1314, -1314, -1314, -1314, -1314, -1314, -1314,
1633                    -1314, -1314, -1314, -1314, -1314, -1314, -1314, -1314, -1313, -1313, -1313, -1313,
1634                    -1313, -1313, -1313, -1313, -1313, -1313, -1313, -1313, -1313, -1313, -1313, -1312,
1635                    -1312, -1312, -1312, -1312, -1312, -1312, -1312, -1312, -1312, -1312, -1312, -1312,
1636                    -1312, -1312, -1312, -1311, -1311, -1311, -1311, -1311, -1311, -1311, -1311, -1311,
1637                    -1311, -1311, -1311, -1311, -1311, -1311, -1310, -1310, -1310, -1310, -1310, -1310,
1638                    -1310, -1310, -1310, -1310, -1310, -1310, -1310, -1310, -1310, -1309, -1309, -1309,
1639                    -1309, -1309, -1309, -1309, -1309, -1309, -1309, -1309, -1309, -1309, -1309, -1309,
1640                    -1308, -1308, -1308, -1308, -1308, -1308, -1308, -1308, -1308, -1308, -1308, -1308,
1641                    -1308, -1308, -1308, -1307, -1307, -1307, -1307, -1307, -1307, -1307, -1307, -1307,
1642                    -1307, -1307, -1307, -1307, -1307, -1306, -1306, -1306, -1306, -1306, -1306, -1306,
1643                    -1306, -1306, -1306, -1306, -1306, -1306, -1306, -1306, -1305, -1305, -1305, -1305,
1644                    -1305, -1305, -1305, -1305, -1305, -1305, -1305, -1305, -1305, -1305, -1304, -1304,
1645                    -1304, -1304, -1304, -1304, -1304, -1304, -1304, -1304, -1304, -1304, -1304, -1304,
1646                    -1304, -1303, -1303, -1303, -1303, -1303, -1303, -1303, -1303, -1303, -1303, -1303,
1647                    -1303, -1303, -1303, -1302, -1302, -1302, -1302, -1302, -1302, -1302, -1302, -1302,
1648                    -1302, -1302, -1302, -1302, -1302, -1301, -1301, -1301, -1301, -1301, -1301, -1301,
1649                    -1301, -1301, -1301, -1301, -1301, -1301, -1301, -1300, -1300, -1300, -1300, -1300,
1650                    -1300, -1300, -1300, -1300, -1300, -1300, -1300, -1300, -1300, -1299, -1299, -1299,
1651                    -1299, -1299, -1299, -1299, -1299, -1299, -1299, -1299, -1299, -1299, -1299, -1298,
1652                    -1298, -1298, -1298, -1298, -1298, -1298, -1298, -1298, -1298, -1298, -1298, -1298,
1653                    -1298, -1297, -1297, -1297, -1297, -1297, -1297, -1297, -1297, -1297, -1297, -1297,
1654                    -1297, -1297, -1297, -1296, -1296, -1296, -1296, -1296, -1296, -1296, -1296, -1296,
1655                    -1296, -1296, -1296, -1296, -1295, -1295, -1295, -1295, -1295, -1295, -1295, -1295,
1656                    -1295, -1295, -1295, -1295, -1295, -1295, -1294, -1294, -1294, -1294, -1294, -1294,
1657                    -1294, -1294, -1294, -1294, -1294, -1294, -1294, -1293, -1293, -1293, -1293, -1293,
1658                    -1293, -1293, -1293, -1293, -1293, -1293, -1293, -1293, -1292, -1292, -1292, -1292,
1659                    -1292, -1292, -1292, -1292, -1292, -1292, -1292, -1292, -1292, -1292, -1291, -1291,
1660                    -1291, -1291, -1291, -1291, -1291, -1291, -1291, -1291, -1291, -1291, -1291, -1290,
1661                    -1290, -1290, -1290, -1290, -1290, -1290, -1290, -1290, -1290, -1290, -1290, -1290,
1662                    -1289, -1289, -1289, -1289, -1289, -1289, -1289, -1289, -1289, -1289, -1289, -1289,
1663                    -1289, -1288, -1288, -1288, -1288, -1288, -1288, -1288, -1288, -1288, -1288, -1288,
1664                    -1288, -1288, -1287, -1287, -1287, -1287, -1287, -1287, -1287, -1287, -1287, -1287,
1665                    -1287, -1287, -1286, -1286, -1286, -1286, -1286, -1286, -1286, -1286, -1286, -1286,
1666                    -1286, -1286, -1286, -1285, -1285, -1285, -1285, -1285, -1285, -1285, -1285, -1285,
1667                    -1285, -1285, -1285, -1285, -1284, -1284, -1284, -1284, -1284, -1284, -1284, -1284,
1668                    -1284, -1284, -1284, -1284, -1283, -1283, -1283, -1283, -1283, -1283, -1283, -1283,
1669                    -1283, -1283, -1283, -1283, -1282, -1282, -1282, -1282, -1282, -1282, -1282, -1282,
1670                    -1282, -1282, -1282, -1282, -1282, -1281, -1281, -1281, -1281, -1281, -1281, -1281,
1671                    -1281, -1281, -1281, -1281, -1281, -1280, -1280, -1280, -1280, -1280, -1280, -1280,
1672                    -1280, -1280, -1280, -1280, -1280, -1279, -1279, -1279, -1279, -1279, -1279, -1279,
1673                    -1279, -1279, -1279, -1279, -1279, -1278, -1278, -1278, -1278, -1278, -1278, -1278,
1674                    -1278, -1278, -1278, -1278, -1278, -1277, -1277, -1277, -1277, -1277, -1277, -1277,
1675                    -1277, -1277, -1277, -1277, -1277, -1276, -1276, -1276, -1276, -1276, -1276, -1276,
1676                    -1276, -1276, -1276, -1276, -1276, -1275, -1275, -1275, -1275, -1275, -1275, -1275,
1677                    -1275, -1275, -1275, -1275, -1275, -1274, -1274, -1274, -1274, -1274, -1274, -1274,
1678                    -1274, -1274, -1274, -1274, -1274, -1273, -1273, -1273, -1273, -1273, -1273, -1273,
1679                    -1273, -1273, -1273, -1273, -1272, -1272, -1272, -1272, -1272, -1272, -1272, -1272,
1680                    -1272, -1272, -1272, -1272, -1271, -1271, -1271, -1271, -1271, -1271, -1271, -1271,
1681                    -1271, -1271, -1271, -1270, -1270, -1270, -1270, -1270, -1270, -1270, -1270, -1270,
1682                    -1270, -1270, -1270, -1269, -1269, -1269, -1269, -1269, -1269, -1269, -1269, -1269,
1683                    -1269, -1269, -1268, -1268, -1268, -1268, -1268, -1268, -1268, -1268, -1268, -1268,
1684                    -1268, -1267, -1267, -1267, -1267, -1267, -1267, -1267, -1267, -1267, -1267, -1267,
1685                    -1266, -1266, -1266, -1266, -1266, -1266, -1266, -1266, -1266, -1266, -1266, -1265,
1686                    -1265, -1265, -1265, -1265, -1265, -1265, -1265, -1265, -1265, -1265, -1264, -1264,
1687                    -1264, -1264, -1264, -1264, -1264, -1264, -1264, -1264, -1264, -1263, -1263, -1263,
1688                    -1263, -1263, -1263, -1263, -1263, -1263, -1263, -1263, -1262, -1262, -1262, -1262,
1689                    -1262, -1262, -1262, -1262, -1262, -1262, -1262, -1261, -1261, -1261, -1261, -1261,
1690                    -1261, -1261, -1261, -1261, -1261, -1261, -1260, -1260, -1260, -1260, -1260, -1260,
1691                    -1260, -1260, -1260, -1260, -1260, -1259, -1259, -1259, -1259, -1259, -1259, -1259,
1692                    -1259, -1259, -1259, -1258, -1258, -1258, -1258, -1258, -1258, -1258, -1258, -1258,
1693                    -1258, -1258, -1257, -1257, -1257, -1257, -1257, -1257, -1257, -1257, -1257, -1257,
1694                    -1256, -1256, -1256, -1256, -1256, -1256, -1256, -1256, -1256, -1256, -1256, -1255,
1695                    -1255, -1255, -1255, -1255, -1255, -1255, -1255, -1255, -1255, -1254, -1254, -1254,
1696                    -1254, -1254, -1254, -1254, -1254, -1254, -1254, -1253, -1253, -1253, -1253, -1253,
1697                    -1253, -1253, -1253, -1253, -1253, -1253, -1252, -1252, -1252, -1252, -1252, -1252,
1698                    -1252, -1252, -1252, -1252, -1251, -1251, -1251, -1251, -1251, -1251, -1251, -1251,
1699                    -1251, -1251, -1250, -1250, -1250, -1250, -1250, -1250, -1250, -1250, -1250, -1250,
1700                    -1249, -1249, -1249, -1249, -1249, -1249, -1249, -1249, -1249, -1249, -1248, -1248,
1701                    -1248, -1248, -1248, -1248, -1248, -1248, -1248, -1248, -1247, -1247, -1247, -1247,
1702                    -1247, -1247, -1247, -1247, -1247, -1247, -1246, -1246, -1246, -1246, -1246, -1246,
1703                    -1246, -1246, -1246, -1246, -1245, -1245, -1245, -1245, -1245, -1245, -1245, -1245,
1704                    -1245, -1244, -1244, -1244, -1244, -1244, -1244, -1244, -1244, -1244, -1244, -1243,
1705                    -1243, -1243, -1243, -1243, -1243, -1243, -1243, -1243, -1243, -1242, -1242, -1242,
1706                    -1242, -1242, -1242, -1242, -1242, -1242, -1241, -1241, -1241, -1241, -1241, -1241,
1707                    -1241, -1241, -1241, -1241, -1240, -1240, -1240, -1240, -1240, -1240, -1240, -1240,
1708                    -1240, -1239, -1239, -1239, -1239, -1239, -1239, -1239, -1239, -1239, -1239, -1238,
1709                    -1238, -1238, -1238, -1238, -1238, -1238, -1238, -1238, -1237, -1237, -1237, -1237,
1710                    -1237, -1237, -1237, -1237, -1237, -1236, -1236, -1236, -1236, -1236, -1236, -1236,
1711                    -1236, -1236, -1236, -1235, -1235, -1235, -1235, -1235, -1235, -1235, -1235, -1235,
1712                    -1234, -1234, -1234, -1234, -1234, -1234, -1234, -1234, -1234, -1233, -1233, -1233,
1713                    -1233, -1233, -1233, -1233, -1233, -1233, -1232, -1232, -1232, -1232, -1232, -1232,
1714                    -1232, -1232, -1232, -1231, -1231, -1231, -1231, -1231, -1231, -1231, -1231, -1231,
1715                    -1230, -1230, -1230, -1230, -1230, -1230, -1230, -1230, -1230, -1229, -1229, -1229,
1716                    -1229, -1229, -1229, -1229, -1229, -1229, -1228, -1228, -1228, -1228, -1228, -1228,
1717                    -1228, -1228, -1228, -1227, -1227, -1227, -1227, -1227, -1227, -1227, -1227, -1227,
1718                    -1226, -1226, -1226, -1226, -1226, -1226, -1226, -1226, -1225, -1225, -1225, -1225,
1719                    -1225, -1225, -1225, -1225, -1225, -1224, -1224, -1224, -1224, -1224, -1224, -1224,
1720                    -1224, -1224, -1223, -1223, -1223, -1223, -1223, -1223, -1223, -1223, -1222, -1222,
1721                    -1222, -1222, -1222, -1222, -1222, -1222, -1222, -1221, -1221, -1221, -1221, -1221,
1722                    -1221, -1221, -1221, -1221, -1220, -1220, -1220, -1220, -1220, -1220, -1220, -1220,
1723                    -1219, -1219, -1219, -1219, -1219, -1219, -1219, -1219, -1218, -1218, -1218, -1218,
1724                    -1218, -1218, -1218, -1218, -1218, -1217, -1217, -1217, -1217, -1217, -1217, -1217,
1725                    -1217, -1216, -1216, -1216, -1216, -1216, -1216, -1216, -1216, -1215, -1215, -1215,
1726                    -1215, -1215, -1215, -1215, -1215, -1215, -1214, -1214, -1214, -1214, -1214, -1214,
1727                    -1214, -1214, -1213, -1213, -1213, -1213, -1213, -1213, -1213, -1213, -1212, -1212,
1728                    -1212, -1212, -1212, -1212, -1212, -1212, -1211, -1211, -1211, -1211, -1211, -1211,
1729                    -1211, -1211, -1210, -1210, -1210, -1210, -1210, -1210, -1210, -1210, -1209, -1209,
1730                    -1209, -1209, -1209, -1209, -1209, -1209, -1208, -1208, -1208, -1208, -1208, -1208,
1731                    -1208, -1208, -1207, -1207, -1207, -1207, -1207, -1207, -1207, -1207, -1206, -1206,
1732                    -1206, -1206, -1206, -1206, -1206, -1206, -1205, -1205, -1205, -1205, -1205, -1205,
1733                    -1205, -1205, -1204, -1204, -1204, -1204, -1204, -1204, -1204, -1203, -1203, -1203,
1734                    -1203, -1203, -1203, -1203, -1203, -1202, -1202, -1202, -1202, -1202, -1202, -1202,
1735                    -1202, -1201, -1201, -1201, -1201, -1201, -1201, -1201, -1201, -1200, -1200, -1200,
1736                    -1200, -1200, -1200, -1200, -1199, -1199, -1199, -1199, -1199, -1199, -1199, -1199,
1737                    -1198, -1198, -1198, -1198, -1198, -1198, -1198, -1197, -1197, -1197, -1197, -1197,
1738                    -1197, -1197, -1197, -1196, -1196, -1196, -1196, -1196, -1196, -1196, -1195, -1195,
1739                    -1195, -1195, -1195, -1195, -1195, -1195, -1194, -1194, -1194, -1194, -1194, -1194,
1740                    -1194, -1193, -1193, -1193, -1193, -1193, -1193, -1193, -1192, -1192, -1192, -1192,
1741                    -1192, -1192, -1192, -1192, -1191, -1191, -1191, -1191, -1191, -1191, -1191, -1190,
1742                    -1190, -1190, -1190, -1190, -1190, -1190, -1189, -1189, -1189, -1189, -1189, -1189,
1743                    -1189, -1188, -1188, -1188, -1188, -1188, -1188, -1188, -1188, -1187, -1187, -1187,
1744                    -1187, -1187, -1187, -1187, -1186, -1186, -1186, -1186, -1186, -1186, -1186, -1185,
1745                    -1185, -1185, -1185, -1185, -1185, -1185, -1184, -1184, -1184, -1184, -1184, -1184,
1746                    -1184, -1183, -1183, -1183, -1183, -1183, -1183, -1183, -1182, -1182, -1182, -1182,
1747                    -1182, -1182, -1182, -1181, -1181, -1181, -1181, -1181, -1181, -1181, -1180, -1180,
1748                    -1180, -1180, -1180, -1180, -1180, -1179, -1179, -1179, -1179, -1179, -1179, -1179,
1749                    -1178, -1178, -1178, -1178, -1178, -1178, -1177, -1177, -1177, -1177, -1177, -1177,
1750                    -1177, -1176, -1176, -1176, -1176, -1176, -1176, -1176, -1175, -1175, -1175, -1175,
1751                    -1175, -1175, -1175, -1174, -1174, -1174, -1174, -1174, -1174, -1173, -1173, -1173,
1752                    -1173, -1173, -1173, -1173, -1172, -1172, -1172, -1172, -1172, -1172, -1172, -1171,
1753                    -1171, -1171, -1171, -1171, -1171, -1170, -1170, -1170, -1170, -1170, -1170, -1170,
1754                    -1169, -1169, -1169, -1169, -1169, -1169, -1168, -1168, -1168, -1168, -1168, -1168,
1755                    -1168, -1167, -1167, -1167, -1167, -1167, -1167, -1166, -1166, -1166, -1166, -1166,
1756                    -1166, -1166, -1165, -1165, -1165, -1165, -1165, -1165, -1164, -1164, -1164, -1164,
1757                    -1164, -1164, -1164, -1163, -1163, -1163, -1163, -1163, -1163, -1162, -1162, -1162,
1758                    -1162, -1162, -1162, -1161, -1161, -1161, -1161, -1161, -1161, -1161, -1160, -1160,
1759                    -1160, -1160, -1160, -1160, -1159, -1159, -1159, -1159, -1159, -1159, -1158, -1158,
1760                    -1158, -1158, -1158, -1158, -1157, -1157, -1157, -1157, -1157, -1157, -1156, -1156,
1761                    -1156, -1156, -1156, -1156, -1156, -1155, -1155, -1155, -1155, -1155, -1155, -1154,
1762                    -1154, -1154, -1154, -1154, -1154, -1153, -1153, -1153, -1153, -1153, -1153, -1152,
1763                    -1152, -1152, -1152, -1152, -1152, -1151, -1151, -1151, -1151, -1151, -1151, -1150,
1764                    -1150, -1150, -1150, -1150, -1150, -1149, -1149, -1149, -1149, -1149, -1149, -1148,
1765                    -1148, -1148, -1148, -1148, -1148, -1147, -1147, -1147, -1147, -1147, -1147, -1146,
1766                    -1146, -1146, -1146, -1146, -1146, -1145, -1145, -1145, -1145, -1145, -1145, -1144,
1767                    -1144, -1144, -1144, -1144, -1143, -1143, -1143, -1143, -1143, -1143, -1142, -1142,
1768                    -1142, -1142, -1142, -1142, -1141, -1141, -1141, -1141, -1141, -1141, -1140, -1140,
1769                    -1140, -1140, -1140, -1139, -1139, -1139, -1139, -1139, -1139, -1138, -1138, -1138,
1770                    -1138, -1138, -1138, -1137, -1137, -1137, -1137, -1137, -1137, -1136, -1136, -1136,
1771                    -1136, -1136, -1135, -1135, -1135, -1135, -1135, -1135, -1134, -1134, -1134, -1134,
1772                    -1134, -1133, -1133, -1133, -1133, -1133, -1133, -1132, -1132, -1132, -1132, -1132,
1773                    -1131, -1131, -1131, -1131, -1131, -1131, -1130, -1130, -1130, -1130, -1130, -1129,
1774                    -1129, -1129, -1129, -1129, -1129, -1128, -1128, -1128, -1128, -1128, -1127, -1127,
1775                    -1127, -1127, -1127, -1127, -1126, -1126, -1126, -1126, -1126, -1125, -1125, -1125,
1776                    -1125, -1125, -1125, -1124, -1124, -1124, -1124, -1124, -1123, -1123, -1123, -1123,
1777                    -1123, -1122, -1122, -1122, -1122, -1122, -1122, -1121, -1121, -1121, -1121, -1121,
1778                    -1120, -1120, -1120, -1120, -1120, -1119, -1119, -1119, -1119, -1119, -1118, -1118,
1779                    -1118, -1118, -1118, -1118, -1117, -1117, -1117, -1117, -1117, -1116, -1116, -1116,
1780                    -1116, -1116, -1115, -1115, -1115, -1115, -1115, -1114, -1114, -1114, -1114, -1114,
1781                    -1113, -1113, -1113, -1113, -1113, -1112, -1112, -1112, -1112, -1112, -1112, -1111,
1782                    -1111, -1111, -1111, -1111, -1110, -1110, -1110, -1110, -1110, -1109, -1109, -1109,
1783                    -1109, -1109, -1108, -1108, -1108, -1108, -1108, -1107, -1107, -1107, -1107, -1107,
1784                    -1106, -1106, -1106, -1106, -1106, -1105, -1105, -1105, -1105, -1105, -1104, -1104,
1785                    -1104, -1104, -1104, -1103, -1103, -1103, -1103, -1103, -1102, -1102, -1102, -1102,
1786                    -1101, -1101, -1101, -1101, -1101, -1100, -1100, -1100, -1100, -1100, -1099, -1099,
1787                    -1099, -1099, -1099, -1098, -1098, -1098, -1098, -1098, -1097, -1097, -1097, -1097,
1788                    -1097, -1096, -1096, -1096, -1096, -1095, -1095, -1095, -1095, -1095, -1094, -1094,
1789                    -1094, -1094, -1094, -1093, -1093, -1093, -1093, -1093, -1092, -1092, -1092, -1092,
1790                    -1091, -1091, -1091, -1091, -1091, -1090, -1090, -1090, -1090, -1090, -1089, -1089,
1791                    -1089, -1089, -1088, -1088, -1088, -1088, -1088, -1087, -1087, -1087, -1087, -1087,
1792                    -1086, -1086, -1086, -1086, -1085, -1085, -1085, -1085, -1085, -1084, -1084, -1084,
1793                    -1084, -1083, -1083, -1083, -1083, -1083, -1082, -1082, -1082, -1082, -1082, -1081,
1794                    -1081, -1081, -1081, -1080, -1080, -1080, -1080, -1080, -1079, -1079, -1079, -1079,
1795                    -1078, -1078, -1078, -1078, -1077, -1077, -1077, -1077, -1077, -1076, -1076, -1076,
1796                    -1076, -1075, -1075, -1075, -1075, -1075, -1074, -1074, -1074, -1074, -1073, -1073,
1797                    -1073, -1073, -1073, -1072, -1072, -1072, -1072, -1071, -1071, -1071, -1071, -1070,
1798                    -1070, -1070, -1070, -1070, -1069, -1069, -1069, -1069, -1068, -1068, -1068, -1068,
1799                    -1067, -1067, -1067, -1067, -1067, -1066, -1066, -1066, -1066, -1065, -1065, -1065,
1800                    -1065, -1064, -1064, -1064, -1064, -1063, -1063, -1063, -1063, -1063, -1062, -1062,
1801                    -1062, -1062, -1061, -1061, -1061, -1061, -1060, -1060, -1060, -1060, -1059, -1059,
1802                    -1059, -1059, -1058, -1058, -1058, -1058, -1057, -1057, -1057, -1057, -1057, -1056,
1803                    -1056, -1056, -1056, -1055, -1055, -1055, -1055, -1054, -1054, -1054, -1054, -1053,
1804                    -1053, -1053, -1053, -1052, -1052, -1052, -1052, -1051, -1051, -1051, -1051, -1050,
1805                    -1050, -1050, -1050, -1049, -1049, -1049, -1049, -1048, -1048, -1048, -1048, -1047,
1806                    -1047, -1047, -1047, -1046, -1046, -1046, -1046, -1045, -1045, -1045, -1045, -1044,
1807                    -1044, -1044, -1044, -1043, -1043, -1043, -1043, -1042, -1042, -1042, -1042, -1041,
1808                    -1041, -1041, -1041, -1040, -1040, -1040, -1040, -1039, -1039, -1039, -1039, -1038,
1809                    -1038, -1038, -1038, -1037, -1037, -1037, -1036, -1036, -1036, -1036, -1035, -1035,
1810                    -1035, -1035, -1034, -1034, -1034, -1034, -1033, -1033, -1033, -1033, -1032, -1032,
1811                    -1032, -1032, -1031, -1031, -1031, -1030, -1030, -1030, -1030, -1029, -1029, -1029,
1812                    -1029, -1028, -1028, -1028, -1028, -1027, -1027, -1027, -1026, -1026, -1026, -1026,
1813                    -1025, -1025, -1025, -1025, -1024, -1024, -1024, -1024, -1023, -1023, -1023, -1022,
1814                    -1022, -1022, -1022, -1021, -1021, -1021, -1021, -1020, -1020, -1020, -1019, -1019,
1815                    -1019, -1019, -1018, -1018, -1018, -1017, -1017, -1017, -1017, -1016, -1016, -1016,
1816                    -1016, -1015, -1015, -1015, -1014, -1014, -1014, -1014, -1013, -1013, -1013, -1012,
1817                    -1012, -1012, -1012, -1011, -1011, -1011, -1011, -1010, -1010, -1010, -1009, -1009,
1818                    -1009, -1009, -1008, -1008, -1008, -1007, -1007, -1007, -1007, -1006, -1006, -1006,
1819                    -1005, -1005, -1005, -1005, -1004, -1004, -1004, -1003, -1003, -1003, -1002, -1002,
1820                    -1002, -1002, -1001, -1001, -1001, -1000, -1000, -1000, -1000, -999, -999, -999,
1821                    -998, -998, -998, -998, -997, -997, -997, -996, -996, -996, -995, -995, -995, -995,
1822                    -994, -994, -994, -993, -993, -993, -992, -992, -992, -992, -991, -991, -991, -990,
1823                    -990, -990, -989, -989, -989, -989, -988, -988, -988, -987, -987, -987, -986, -986,
1824                    -986, -986, -985, -985, -985, -984, -984, -984, -983, -983, -983, -982, -982, -982,
1825                    -982, -981, -981, -981, -980, -980, -980, -979, -979, -979, -978, -978, -978, -978,
1826                    -977, -977, -977, -976, -976, -976, -975, -975, -975, -974, -974, -974, -973, -973,
1827                    -973, -972, -972, -972, -972, -971, -971, -971, -970, -970, -970, -969, -969, -969,
1828                    -968, -968, -968, -967, -967, -967, -966, -966, -966, -965, -965, -965, -964, -964,
1829                    -964, -963, -963, -963, -963, -962, -962, -962, -961, -961, -961, -960, -960, -960,
1830                    -959, -959, -959, -958, -958, -958, -957, -957, -957, -956, -956, -956, -955, -955,
1831                    -955, -954, -954, -954, -953, -953, -953, -952, -952, -952, -951, -951, -951, -950,
1832                    -950, -950, -949, -949, -949, -948, -948, -947, -947, -947, -946, -946, -946, -945,
1833                    -945, -945, -944, -944, -944, -943, -943, -943, -942, -942, -942, -941, -941, -941,
1834                    -940, -940, -940, -939, -939, -939, -938, -938, -937, -937, -937, -936, -936, -936,
1835                    -935, -935, -935, -934, -934, -934, -933, -933, -933, -932, -932, -931, -931, -931,
1836                    -930, -930, -930, -929, -929, -929, -928, -928, -928, -927, -927, -926, -926, -926,
1837                    -925, -925, -925, -924, -924, -924, -923, -923, -922, -922, -922, -921, -921, -921,
1838                    -920, -920, -920, -919, -919, -918, -918, -918, -917, -917, -917, -916, -916, -915,
1839                    -915, -915, -914, -914, -914, -913, -913, -912, -912, -912, -911, -911, -911, -910,
1840                    -910, -909, -909, -909, -908, -908, -908, -907, -907, -906, -906, -906, -905, -905,
1841                    -905, -904, -904, -903, -903, -903, -902, -902, -901, -901, -901, -900, -900, -900,
1842                    -899, -899, -898, -898, -898, -897, -897, -896, -896, -896, -895, -895, -894, -894,
1843                    -894, -893, -893, -893, -892, -892, -891, -891, -891, -890, -890, -889, -889, -889,
1844                    -888, -888, -887, -887, -887, -886, -886, -885, -885, -885, -884, -884, -883, -883,
1845                    -883, -882, -882, -881, -881, -881, -880, -880, -879, -879, -879, -878, -878, -877,
1846                    -877, -876, -876, -876, -875, -875, -874, -874, -874, -873, -873, -872, -872, -872,
1847                    -871, -871, -870, -870, -869, -869, -869, -868, -868, -867, -867, -867, -866, -866,
1848                    -865, -865, -864, -864, -864, -863, -863, -862, -862, -861, -861, -861, -860, -860,
1849                    -859, -859, -858, -858, -858, -857, -857, -856, -856, -855, -855, -855, -854, -854,
1850                    -853, -853, -852, -852, -852, -851, -851, -850, -850, -849, -849, -849, -848, -848,
1851                    -847, -847, -846, -846, -845, -845, -845, -844, -844, -843, -843, -842, -842, -841,
1852                    -841, -841, -840, -840, -839, -839, -838, -838, -837, -837, -837, -836, -836, -835,
1853                    -835, -834, -834, -833, -833, -833, -832, -832, -831, -831, -830, -830, -829, -829,
1854                    -828, -828, -828, -827, -827, -826, -826, -825, -825, -824, -824, -823, -823, -822,
1855                    -822, -822, -821, -821, -820, -820, -819, -819, -818, -818, -817, -817, -816, -816,
1856                    -815, -815, -815, -814, -814, -813, -813, -812, -812, -811, -811, -810, -810, -809,
1857                    -809, -808, -808, -807, -807, -806, -806, -805, -805, -805, -804, -804, -803, -803,
1858                    -802, -802, -801, -801, -800, -800, -799, -799, -798, -798, -797, -797, -796, -796,
1859                    -795, -795, -794, -794, -793, -793, -792, -792, -791, -791, -790, -790, -789, -789,
1860                    -788, -788, -787, -787, -786, -786, -785, -785, -784, -784, -783, -783, -782, -782,
1861                    -781, -781, -780, -780, -779, -779, -778, -778, -777, -777, -776, -776, -775, -775,
1862                    -774, -774, -773, -773, -772, -772, -771, -771, -770, -770, -769, -769, -768, -768,
1863                    -767, -767, -766, -766, -765, -764, -764, -763, -763, -762, -762, -761, -761, -760,
1864                    -760, -759, -759, -758, -758, -757, -757, -756, -756, -755, -754, -754, -753, -753,
1865                    -752, -752, -751, -751, -750, -750, -749, -749, -748, -748, -747, -746, -746, -745,
1866                    -745, -744, -744, -743, -743, -742, -742, -741, -740, -740, -739, -739, -738, -738,
1867                    -737, -737, -736, -736, -735, -734, -734, -733, -733, -732, -732, -731, -731, -730,
1868                    -729, -729, -728, -728, -727, -727, -726, -726, -725, -724, -724, -723, -723, -722,
1869                    -722, -721, -721, -720, -719, -719, -718, -718, -717, -717, -716, -715, -715, -714,
1870                    -714, -713, -713, -712, -711, -711, -710, -710, -709, -709, -708, -707, -707, -706,
1871                    -706, -705, -704, -704, -703, -703, -702, -702, -701, -700, -700, -699, -699, -698,
1872                    -697, -697, -696, -696, -695, -695, -694, -693, -693, -692, -692, -691, -690, -690,
1873                    -689, -689, -688, -687, -687, -686, -686, -685, -684, -684, -683, -683, -682, -681,
1874                    -681, -680, -680, -679, -678, -678, -677, -677, -676, -675, -675, -674, -674, -673,
1875                    -672, -672, -671, -670, -670, -669, -669, -668, -667, -667, -666, -666, -665, -664,
1876                    -664, -663, -662, -662, -661, -661, -660, -659, -659, -658, -657, -657, -656, -656,
1877                    -655, -654, -654, -653, -652, -652, -651, -651, -650, -649, -649, -648, -647, -647,
1878                    -646, -645, -645, -644, -644, -643, -642, -642, -641, -640, -640, -639, -638, -638,
1879                    -637, -636, -636, -635, -634, -634, -633, -633, -632, -631, -631, -630, -629, -629,
1880                    -628, -627, -627, -626, -625, -625, -624, -623, -623, -622, -621, -621, -620, -619,
1881                    -619, -618, -617, -617, -616, -615, -615, -614, -613, -613, -612, -611, -611, -610,
1882                    -609, -609, -608, -607, -607, -606, -605, -605, -604, -603, -603, -602, -601, -601,
1883                    -600, -599, -599, -598, -597, -596, -596, -595, -594, -594, -593, -592, -592, -591,
1884                    -590, -590, -589, -588, -588, -587, -586, -585, -585, -584, -583, -583, -582, -581,
1885                    -581, -580, -579, -578, -578, -577, -576, -576, -575, -574, -574, -573, -572, -571,
1886                    -571, -570, -569, -569, -568, -567, -566, -566, -565, -564, -564, -563, -562, -561,
1887                    -561, -560, -559, -559, -558, -557, -556, -556, -555, -554, -554, -553, -552, -551,
1888                    -551, -550, -549, -548, -548, -547, -546, -546, -545, -544, -543, -543, -542, -541,
1889                    -540, -540, -539, -538, -537, -537, -536, -535, -535, -534, -533, -532, -532, -531,
1890                    -530, -529, -529, -528, -527, -526, -526, -525, -524, -523, -523, -522, -521, -520,
1891                    -520, -519, -518, -517, -517, -516, -515, -514, -514, -513, -512, -511, -510, -510,
1892                    -509, -508, -507, -507, -506, -505, -504, -504, -503, -502, -501, -501, -500, -499,
1893                    -498, -497, -497, -496, -495, -494, -494, -493, -492, -491, -490, -490, -489, -488,
1894                    -487, -487, -486, -485, -484, -483, -483, -482, -481, -480, -480, -479, -478, -477,
1895                    -476, -476, -475, -474, -473, -472, -472, -471, -470, -469, -468, -468, -467, -466,
1896                    -465, -464, -464, -463, -462, -461, -460, -460, -459, -458, -457, -456, -456, -455,
1897                    -454, -453, -452, -452, -451, -450, -449, -448, -448, -447, -446, -445, -444, -443,
1898                    -443, -442, -441, -440, -439, -439, -438, -437, -436, -435, -434, -434, -433, -432,
1899                    -431, -430, -429, -429, -428, -427, -426, -425, -425, -424, -423, -422, -421, -420,
1900                    -420, -419, -418, -417, -416, -415, -415, -414, -413, -412, -411, -410, -409, -409,
1901                    -408, -407, -406, -405, -404, -404, -403, -402, -401, -400, -399, -398, -398, -397,
1902                    -396, -395, -394, -393, -393, -392, -391, -390, -389, -388, -387, -387, -386, -385,
1903                    -384, -383, -382, -381, -381, -380, -379, -378, -377, -376, -375, -374, -374, -373,
1904                    -372, -371, -370, -369, -368, -368, -367, -366, -365, -364, -363, -362, -361, -361,
1905                    -360, -359, -358, -357, -356, -355, -354, -354, -353, -352, -351, -350, -349, -348,
1906                    -347, -346, -346, -345, -344, -343, -342, -341, -340, -339, -338, -338, -337, -336,
1907                    -335, -334, -333, -332, -331, -330, -330, -329, -328, -327, -326, -325, -324, -323,
1908                    -322, -321, -321, -320, -319, -318, -317, -316, -315, -314, -313, -312, -312, -311,
1909                    -310, -309, -308, -307, -306, -305, -304, -303, -302, -302, -301, -300, -299, -298,
1910                    -297, -296, -295, -294, -293, -292, -291, -291, -290, -289, -288, -287, -286, -285,
1911                    -284, -283, -282, -281, -280, -279, -279, -278, -277, -276, -275, -274, -273, -272,
1912                    -271, -270, -269, -268, -267, -267, -266, -265, -264, -263, -262, -261, -260, -259,
1913                    -258, -257, -256, -255, -254, -253, -252, -252, -251, -250, -249, -248, -247, -246,
1914                    -245, -244, -243, -242, -241, -240, -239, -238, -237, -236, -236, -235, -234, -233,
1915                    -232, -231, -230, -229, -228, -227, -226, -225, -224, -223, -222, -221, -220, -219,
1916                    -218, -218, -217, -216, -215, -214, -213, -212, -211, -210, -209, -208, -207, -206,
1917                    -205, -204, -203, -202, -201, -200, -199, -198, -197, -196, -195, -195, -194, -193,
1918                    -192, -191, -190, -189, -188, -187, -186, -185, -184, -183, -182, -181, -180, -179,
1919                    -178, -177, -176, -175, -174, -173, -172, -171, -170, -169, -168, -167, -166, -165,
1920                    -164, -164, -163, -162, -161, -160, -159, -158, -157, -156, -155, -154, -153, -152,
1921                    -151, -150, -149, -148, -147, -146, -145, -144, -143, -142, -141, -140, -139, -138,
1922                    -137, -136, -135, -134, -133, -132, -131, -130, -129, -128, -127, -126, -125, -124,
1923                    -123, -122, -121, -120, -119, -118, -117, -116, -115, -114, -114, -113, -112, -111,
1924                    -110, -109, -108, -107, -106, -105, -104, -103, -102, -101, -100, -99, -98, -97,
1925                    -96, -95, -94, -93, -92, -91, -90, -89, -88, -87, -86, -85, -84, -83, -82, -81,
1926                    -80, -79, -78, -77, -76, -75, -74, -73, -72, -71, -70, -69, -68, -67, -66, -65,
1927                    -64, -63, -62, -61, -60, -59, -58, -57, -56, -55, -54, -53, -52, -51, -50, -49,
1928                    -48, -47, -46, -45, -44, -43, -42, -41, -40, -39, -38, -37, -36, -35, -34, -33,
1929                    -32, -31, -30, -29, -28, -27, -26, -25, -24, -23, -22, -21, -20, -19, -18, -17,
1930                    -16, -15, -14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3,
1931                    4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,
1932                    26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45,
1933                    46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65,
1934                    66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85,
1935                    86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103,
1936                    104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 114, 115, 116, 117, 118,
1937                    119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134,
1938                    135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150,
1939                    151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 164, 165,
1940                    166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181,
1941                    182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 195, 196,
1942                    197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212,
1943                    213, 214, 215, 216, 217, 218, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227,
1944                    228, 229, 230, 231, 232, 233, 234, 235, 236, 236, 237, 238, 239, 240, 241, 242,
1945                    243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 252, 253, 254, 255, 256, 257,
1946                    258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 267, 268, 269, 270, 271, 272,
1947                    273, 274, 275, 276, 277, 278, 279, 279, 280, 281, 282, 283, 284, 285, 286, 287,
1948                    288, 289, 290, 291, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302,
1949                    302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 312, 313, 314, 315, 316,
1950                    317, 318, 319, 320, 321, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 330,
1951                    331, 332, 333, 334, 335, 336, 337, 338, 338, 339, 340, 341, 342, 343, 344, 345,
1952                    346, 346, 347, 348, 349, 350, 351, 352, 353, 354, 354, 355, 356, 357, 358, 359,
1953                    360, 361, 361, 362, 363, 364, 365, 366, 367, 368, 368, 369, 370, 371, 372, 373,
1954                    374, 374, 375, 376, 377, 378, 379, 380, 381, 381, 382, 383, 384, 385, 386, 387,
1955                    387, 388, 389, 390, 391, 392, 393, 393, 394, 395, 396, 397, 398, 398, 399, 400,
1956                    401, 402, 403, 404, 404, 405, 406, 407, 408, 409, 409, 410, 411, 412, 413, 414,
1957                    415, 415, 416, 417, 418, 419, 420, 420, 421, 422, 423, 424, 425, 425, 426, 427,
1958                    428, 429, 429, 430, 431, 432, 433, 434, 434, 435, 436, 437, 438, 439, 439, 440,
1959                    441, 442, 443, 443, 444, 445, 446, 447, 448, 448, 449, 450, 451, 452, 452, 453,
1960                    454, 455, 456, 456, 457, 458, 459, 460, 460, 461, 462, 463, 464, 464, 465, 466,
1961                    467, 468, 468, 469, 470, 471, 472, 472, 473, 474, 475, 476, 476, 477, 478, 479,
1962                    480, 480, 481, 482, 483, 483, 484, 485, 486, 487, 487, 488, 489, 490, 490, 491,
1963                    492, 493, 494, 494, 495, 496, 497, 497, 498, 499, 500, 501, 501, 502, 503, 504,
1964                    504, 505, 506, 507, 507, 508, 509, 510, 510, 511, 512, 513, 514, 514, 515, 516,
1965                    517, 517, 518, 519, 520, 520, 521, 522, 523, 523, 524, 525, 526, 526, 527, 528,
1966                    529, 529, 530, 531, 532, 532, 533, 534, 535, 535, 536, 537, 537, 538, 539, 540,
1967                    540, 541, 542, 543, 543, 544, 545, 546, 546, 547, 548, 548, 549, 550, 551, 551,
1968                    552, 553, 554, 554, 555, 556, 556, 557, 558, 559, 559, 560, 561, 561, 562, 563,
1969                    564, 564, 565, 566, 566, 567, 568, 569, 569, 570, 571, 571, 572, 573, 574, 574,
1970                    575, 576, 576, 577, 578, 578, 579, 580, 581, 581, 582, 583, 583, 584, 585, 585,
1971                    586, 587, 588, 588, 589, 590, 590, 591, 592, 592, 593, 594, 594, 595, 596, 596,
1972                    597, 598, 599, 599, 600, 601, 601, 602, 603, 603, 604, 605, 605, 606, 607, 607,
1973                    608, 609, 609, 610, 611, 611, 612, 613, 613, 614, 615, 615, 616, 617, 617, 618,
1974                    619, 619, 620, 621, 621, 622, 623, 623, 624, 625, 625, 626, 627, 627, 628, 629,
1975                    629, 630, 631, 631, 632, 633, 633, 634, 634, 635, 636, 636, 637, 638, 638, 639,
1976                    640, 640, 641, 642, 642, 643, 644, 644, 645, 645, 646, 647, 647, 648, 649, 649,
1977                    650, 651, 651, 652, 652, 653, 654, 654, 655, 656, 656, 657, 657, 658, 659, 659,
1978                    660, 661, 661, 662, 662, 663, 664, 664, 665, 666, 666, 667, 667, 668, 669, 669,
1979                    670, 670, 671, 672, 672, 673, 674, 674, 675, 675, 676, 677, 677, 678, 678, 679,
1980                    680, 680, 681, 681, 682, 683, 683, 684, 684, 685, 686, 686, 687, 687, 688, 689,
1981                    689, 690, 690, 691, 692, 692, 693, 693, 694, 695, 695, 696, 696, 697, 697, 698,
1982                    699, 699, 700, 700, 701, 702, 702, 703, 703, 704, 704, 705, 706, 706, 707, 707,
1983                    708, 709, 709, 710, 710, 711, 711, 712, 713, 713, 714, 714, 715, 715, 716, 717,
1984                    717, 718, 718, 719, 719, 720, 721, 721, 722, 722, 723, 723, 724, 724, 725, 726,
1985                    726, 727, 727, 728, 728, 729, 729, 730, 731, 731, 732, 732, 733, 733, 734, 734,
1986                    735, 736, 736, 737, 737, 738, 738, 739, 739, 740, 740, 741, 742, 742, 743, 743,
1987                    744, 744, 745, 745, 746, 746, 747, 748, 748, 749, 749, 750, 750, 751, 751, 752,
1988                    752, 753, 753, 754, 754, 755, 756, 756, 757, 757, 758, 758, 759, 759, 760, 760,
1989                    761, 761, 762, 762, 763, 763, 764, 764, 765, 766, 766, 767, 767, 768, 768, 769,
1990                    769, 770, 770, 771, 771, 772, 772, 773, 773, 774, 774, 775, 775, 776, 776, 777,
1991                    777, 778, 778, 779, 779, 780, 780, 781, 781, 782, 782, 783, 783, 784, 784, 785,
1992                    785, 786, 786, 787, 787, 788, 788, 789, 789, 790, 790, 791, 791, 792, 792, 793,
1993                    793, 794, 794, 795, 795, 796, 796, 797, 797, 798, 798, 799, 799, 800, 800, 801,
1994                    801, 802, 802, 803, 803, 804, 804, 805, 805, 805, 806, 806, 807, 807, 808, 808,
1995                    809, 809, 810, 810, 811, 811, 812, 812, 813, 813, 814, 814, 815, 815, 815, 816,
1996                    816, 817, 817, 818, 818, 819, 819, 820, 820, 821, 821, 822, 822, 822, 823, 823,
1997                    824, 824, 825, 825, 826, 826, 827, 827, 828, 828, 828, 829, 829, 830, 830, 831,
1998                    831, 832, 832, 833, 833, 833, 834, 834, 835, 835, 836, 836, 837, 837, 837, 838,
1999                    838, 839, 839, 840, 840, 841, 841, 841, 842, 842, 843, 843, 844, 844, 845, 845,
2000                    845, 846, 846, 847, 847, 848, 848, 849, 849, 849, 850, 850, 851, 851, 852, 852,
2001                    852, 853, 853, 854, 854, 855, 855, 855, 856, 856, 857, 857, 858, 858, 858, 859,
2002                    859, 860, 860, 861, 861, 861, 862, 862, 863, 863, 864, 864, 864, 865, 865, 866,
2003                    866, 867, 867, 867, 868, 868, 869, 869, 869, 870, 870, 871, 871, 872, 872, 872,
2004                    873, 873, 874, 874, 874, 875, 875, 876, 876, 876, 877, 877, 878, 878, 879, 879,
2005                    879, 880, 880, 881, 881, 881, 882, 882, 883, 883, 883, 884, 884, 885, 885, 885,
2006                    886, 886, 887, 887, 887, 888, 888, 889, 889, 889, 890, 890, 891, 891, 891, 892,
2007                    892, 893, 893, 893, 894, 894, 894, 895, 895, 896, 896, 896, 897, 897, 898, 898,
2008                    898, 899, 899, 900, 900, 900, 901, 901, 901, 902, 902, 903, 903, 903, 904, 904,
2009                    905, 905, 905, 906, 906, 906, 907, 907, 908, 908, 908, 909, 909, 909, 910, 910,
2010                    911, 911, 911, 912, 912, 912, 913, 913, 914, 914, 914, 915, 915, 915, 916, 916,
2011                    917, 917, 917, 918, 918, 918, 919, 919, 920, 920, 920, 921, 921, 921, 922, 922,
2012                    922, 923, 923, 924, 924, 924, 925, 925, 925, 926, 926, 926, 927, 927, 928, 928,
2013                    928, 929, 929, 929, 930, 930, 930, 931, 931, 931, 932, 932, 933, 933, 933, 934,
2014                    934, 934, 935, 935, 935, 936, 936, 936, 937, 937, 937, 938, 938, 939, 939, 939,
2015                    940, 940, 940, 941, 941, 941, 942, 942, 942, 943, 943, 943, 944, 944, 944, 945,
2016                    945, 945, 946, 946, 946, 947, 947, 947, 948, 948, 949, 949, 949, 950, 950, 950,
2017                    951, 951, 951, 952, 952, 952, 953, 953, 953, 954, 954, 954, 955, 955, 955, 956,
2018                    956, 956, 957, 957, 957, 958, 958, 958, 959, 959, 959, 960, 960, 960, 961, 961,
2019                    961, 962, 962, 962, 963, 963, 963, 963, 964, 964, 964, 965, 965, 965, 966, 966,
2020                    966, 967, 967, 967, 968, 968, 968, 969, 969, 969, 970, 970, 970, 971, 971, 971,
2021                    972, 972, 972, 972, 973, 973, 973, 974, 974, 974, 975, 975, 975, 976, 976, 976,
2022                    977, 977, 977, 978, 978, 978, 978, 979, 979, 979, 980, 980, 980, 981, 981, 981,
2023                    982, 982, 982, 982, 983, 983, 983, 984, 984, 984, 985, 985, 985, 986, 986, 986,
2024                    986, 987, 987, 987, 988, 988, 988, 989, 989, 989, 989, 990, 990, 990, 991, 991,
2025                    991, 992, 992, 992, 992, 993, 993, 993, 994, 994, 994, 995, 995, 995, 995, 996,
2026                    996, 996, 997, 997, 997, 998, 998, 998, 998, 999, 999, 999, 1000, 1000, 1000, 1000,
2027                    1001, 1001, 1001, 1002, 1002, 1002, 1002, 1003, 1003, 1003, 1004, 1004, 1004, 1005,
2028                    1005, 1005, 1005, 1006, 1006, 1006, 1007, 1007, 1007, 1007, 1008, 1008, 1008, 1009,
2029                    1009, 1009, 1009, 1010, 1010, 1010, 1011, 1011, 1011, 1011, 1012, 1012, 1012, 1012,
2030                    1013, 1013, 1013, 1014, 1014, 1014, 1014, 1015, 1015, 1015, 1016, 1016, 1016, 1016,
2031                    1017, 1017, 1017, 1017, 1018, 1018, 1018, 1019, 1019, 1019, 1019, 1020, 1020, 1020,
2032                    1021, 1021, 1021, 1021, 1022, 1022, 1022, 1022, 1023, 1023, 1023, 1024, 1024, 1024,
2033                    1024, 1025, 1025, 1025, 1025, 1026, 1026, 1026, 1026, 1027, 1027, 1027, 1028, 1028,
2034                    1028, 1028, 1029, 1029, 1029, 1029, 1030, 1030, 1030, 1030, 1031, 1031, 1031, 1032,
2035                    1032, 1032, 1032, 1033, 1033, 1033, 1033, 1034, 1034, 1034, 1034, 1035, 1035, 1035,
2036                    1035, 1036, 1036, 1036, 1036, 1037, 1037, 1037, 1038, 1038, 1038, 1038, 1039, 1039,
2037                    1039, 1039, 1040, 1040, 1040, 1040, 1041, 1041, 1041, 1041, 1042, 1042, 1042, 1042,
2038                    1043, 1043, 1043, 1043, 1044, 1044, 1044, 1044, 1045, 1045, 1045, 1045, 1046, 1046,
2039                    1046, 1046, 1047, 1047, 1047, 1047, 1048, 1048, 1048, 1048, 1049, 1049, 1049, 1049,
2040                    1050, 1050, 1050, 1050, 1051, 1051, 1051, 1051, 1052, 1052, 1052, 1052, 1053, 1053,
2041                    1053, 1053, 1054, 1054, 1054, 1054, 1055, 1055, 1055, 1055, 1056, 1056, 1056, 1056,
2042                    1057, 1057, 1057, 1057, 1057, 1058, 1058, 1058, 1058, 1059, 1059, 1059, 1059, 1060,
2043                    1060, 1060, 1060, 1061, 1061, 1061, 1061, 1062, 1062, 1062, 1062, 1063, 1063, 1063,
2044                    1063, 1063, 1064, 1064, 1064, 1064, 1065, 1065, 1065, 1065, 1066, 1066, 1066, 1066,
2045                    1067, 1067, 1067, 1067, 1067, 1068, 1068, 1068, 1068, 1069, 1069, 1069, 1069, 1070,
2046                    1070, 1070, 1070, 1070, 1071, 1071, 1071, 1071, 1072, 1072, 1072, 1072, 1073, 1073,
2047                    1073, 1073, 1073, 1074, 1074, 1074, 1074, 1075, 1075, 1075, 1075, 1075, 1076, 1076,
2048                    1076, 1076, 1077, 1077, 1077, 1077, 1077, 1078, 1078, 1078, 1078, 1079, 1079, 1079,
2049                    1079, 1080, 1080, 1080, 1080, 1080, 1081, 1081, 1081, 1081, 1082, 1082, 1082, 1082,
2050                    1082, 1083, 1083, 1083, 1083, 1083, 1084, 1084, 1084, 1084, 1085, 1085, 1085, 1085,
2051                    1085, 1086, 1086, 1086, 1086, 1087, 1087, 1087, 1087, 1087, 1088, 1088, 1088, 1088,
2052                    1088, 1089, 1089, 1089, 1089, 1090, 1090, 1090, 1090, 1090, 1091, 1091, 1091, 1091,
2053                    1091, 1092, 1092, 1092, 1092, 1093, 1093, 1093, 1093, 1093, 1094, 1094, 1094, 1094,
2054                    1094, 1095, 1095, 1095, 1095, 1095, 1096, 1096, 1096, 1096, 1097, 1097, 1097, 1097,
2055                    1097, 1098, 1098, 1098, 1098, 1098, 1099, 1099, 1099, 1099, 1099, 1100, 1100, 1100,
2056                    1100, 1100, 1101, 1101, 1101, 1101, 1101, 1102, 1102, 1102, 1102, 1103, 1103, 1103,
2057                    1103, 1103, 1104, 1104, 1104, 1104, 1104, 1105, 1105, 1105, 1105, 1105, 1106, 1106,
2058                    1106, 1106, 1106, 1107, 1107, 1107, 1107, 1107, 1108, 1108, 1108, 1108, 1108, 1109,
2059                    1109, 1109, 1109, 1109, 1110, 1110, 1110, 1110, 1110, 1111, 1111, 1111, 1111, 1111,
2060                    1112, 1112, 1112, 1112, 1112, 1112, 1113, 1113, 1113, 1113, 1113, 1114, 1114, 1114,
2061                    1114, 1114, 1115, 1115, 1115, 1115, 1115, 1116, 1116, 1116, 1116, 1116, 1117, 1117,
2062                    1117, 1117, 1117, 1118, 1118, 1118, 1118, 1118, 1118, 1119, 1119, 1119, 1119, 1119,
2063                    1120, 1120, 1120, 1120, 1120, 1121, 1121, 1121, 1121, 1121, 1122, 1122, 1122, 1122,
2064                    1122, 1122, 1123, 1123, 1123, 1123, 1123, 1124, 1124, 1124, 1124, 1124, 1125, 1125,
2065                    1125, 1125, 1125, 1125, 1126, 1126, 1126, 1126, 1126, 1127, 1127, 1127, 1127, 1127,
2066                    1127, 1128, 1128, 1128, 1128, 1128, 1129, 1129, 1129, 1129, 1129, 1129, 1130, 1130,
2067                    1130, 1130, 1130, 1131, 1131, 1131, 1131, 1131, 1131, 1132, 1132, 1132, 1132, 1132,
2068                    1133, 1133, 1133, 1133, 1133, 1133, 1134, 1134, 1134, 1134, 1134, 1135, 1135, 1135,
2069                    1135, 1135, 1135, 1136, 1136, 1136, 1136, 1136, 1137, 1137, 1137, 1137, 1137, 1137,
2070                    1138, 1138, 1138, 1138, 1138, 1138, 1139, 1139, 1139, 1139, 1139, 1139, 1140, 1140,
2071                    1140, 1140, 1140, 1141, 1141, 1141, 1141, 1141, 1141, 1142, 1142, 1142, 1142, 1142,
2072                    1142, 1143, 1143, 1143, 1143, 1143, 1143, 1144, 1144, 1144, 1144, 1144, 1145, 1145,
2073                    1145, 1145, 1145, 1145, 1146, 1146, 1146, 1146, 1146, 1146, 1147, 1147, 1147, 1147,
2074                    1147, 1147, 1148, 1148, 1148, 1148, 1148, 1148, 1149, 1149, 1149, 1149, 1149, 1149,
2075                    1150, 1150, 1150, 1150, 1150, 1150, 1151, 1151, 1151, 1151, 1151, 1151, 1152, 1152,
2076                    1152, 1152, 1152, 1152, 1153, 1153, 1153, 1153, 1153, 1153, 1154, 1154, 1154, 1154,
2077                    1154, 1154, 1155, 1155, 1155, 1155, 1155, 1155, 1156, 1156, 1156, 1156, 1156, 1156,
2078                    1156, 1157, 1157, 1157, 1157, 1157, 1157, 1158, 1158, 1158, 1158, 1158, 1158, 1159,
2079                    1159, 1159, 1159, 1159, 1159, 1160, 1160, 1160, 1160, 1160, 1160, 1161, 1161, 1161,
2080                    1161, 1161, 1161, 1161, 1162, 1162, 1162, 1162, 1162, 1162, 1163, 1163, 1163, 1163,
2081                    1163, 1163, 1164, 1164, 1164, 1164, 1164, 1164, 1164, 1165, 1165, 1165, 1165, 1165,
2082                    1165, 1166, 1166, 1166, 1166, 1166, 1166, 1166, 1167, 1167, 1167, 1167, 1167, 1167,
2083                    1168, 1168, 1168, 1168, 1168, 1168, 1168, 1169, 1169, 1169, 1169, 1169, 1169, 1170,
2084                    1170, 1170, 1170, 1170, 1170, 1170, 1171, 1171, 1171, 1171, 1171, 1171, 1172, 1172,
2085                    1172, 1172, 1172, 1172, 1172, 1173, 1173, 1173, 1173, 1173, 1173, 1173, 1174, 1174,
2086                    1174, 1174, 1174, 1174, 1175, 1175, 1175, 1175, 1175, 1175, 1175, 1176, 1176, 1176,
2087                    1176, 1176, 1176, 1176, 1177, 1177, 1177, 1177, 1177, 1177, 1177, 1178, 1178, 1178,
2088                    1178, 1178, 1178, 1179, 1179, 1179, 1179, 1179, 1179, 1179, 1180, 1180, 1180, 1180,
2089                    1180, 1180, 1180, 1181, 1181, 1181, 1181, 1181, 1181, 1181, 1182, 1182, 1182, 1182,
2090                    1182, 1182, 1182, 1183, 1183, 1183, 1183, 1183, 1183, 1183, 1184, 1184, 1184, 1184,
2091                    1184, 1184, 1184, 1185, 1185, 1185, 1185, 1185, 1185, 1185, 1186, 1186, 1186, 1186,
2092                    1186, 1186, 1186, 1187, 1187, 1187, 1187, 1187, 1187, 1187, 1188, 1188, 1188, 1188,
2093                    1188, 1188, 1188, 1188, 1189, 1189, 1189, 1189, 1189, 1189, 1189, 1190, 1190, 1190,
2094                    1190, 1190, 1190, 1190, 1191, 1191, 1191, 1191, 1191, 1191, 1191, 1192, 1192, 1192,
2095                    1192, 1192, 1192, 1192, 1192, 1193, 1193, 1193, 1193, 1193, 1193, 1193, 1194, 1194,
2096                    1194, 1194, 1194, 1194, 1194, 1195, 1195, 1195, 1195, 1195, 1195, 1195, 1195, 1196,
2097                    1196, 1196, 1196, 1196, 1196, 1196, 1197, 1197, 1197, 1197, 1197, 1197, 1197, 1197,
2098                    1198, 1198, 1198, 1198, 1198, 1198, 1198, 1199, 1199, 1199, 1199, 1199, 1199, 1199,
2099                    1199, 1200, 1200, 1200, 1200, 1200, 1200, 1200, 1201, 1201, 1201, 1201, 1201, 1201,
2100                    1201, 1201, 1202, 1202, 1202, 1202, 1202, 1202, 1202, 1202, 1203, 1203, 1203, 1203,
2101                    1203, 1203, 1203, 1203, 1204, 1204, 1204, 1204, 1204, 1204, 1204, 1205, 1205, 1205,
2102                    1205, 1205, 1205, 1205, 1205, 1206, 1206, 1206, 1206, 1206, 1206, 1206, 1206, 1207,
2103                    1207, 1207, 1207, 1207, 1207, 1207, 1207, 1208, 1208, 1208, 1208, 1208, 1208, 1208,
2104                    1208, 1209, 1209, 1209, 1209, 1209, 1209, 1209, 1209, 1210, 1210, 1210, 1210, 1210,
2105                    1210, 1210, 1210, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1212, 1212, 1212,
2106                    1212, 1212, 1212, 1212, 1212, 1213, 1213, 1213, 1213, 1213, 1213, 1213, 1213, 1214,
2107                    1214, 1214, 1214, 1214, 1214, 1214, 1214, 1215, 1215, 1215, 1215, 1215, 1215, 1215,
2108                    1215, 1215, 1216, 1216, 1216, 1216, 1216, 1216, 1216, 1216, 1217, 1217, 1217, 1217,
2109                    1217, 1217, 1217, 1217, 1218, 1218, 1218, 1218, 1218, 1218, 1218, 1218, 1218, 1219,
2110                    1219, 1219, 1219, 1219, 1219, 1219, 1219, 1220, 1220, 1220, 1220, 1220, 1220, 1220,
2111                    1220, 1221, 1221, 1221, 1221, 1221, 1221, 1221, 1221, 1221, 1222, 1222, 1222, 1222,
2112                    1222, 1222, 1222, 1222, 1222, 1223, 1223, 1223, 1223, 1223, 1223, 1223, 1223, 1224,
2113                    1224, 1224, 1224, 1224, 1224, 1224, 1224, 1224, 1225, 1225, 1225, 1225, 1225, 1225,
2114                    1225, 1225, 1225, 1226, 1226, 1226, 1226, 1226, 1226, 1226, 1226, 1227, 1227, 1227,
2115                    1227, 1227, 1227, 1227, 1227, 1227, 1228, 1228, 1228, 1228, 1228, 1228, 1228, 1228,
2116                    1228, 1229, 1229, 1229, 1229, 1229, 1229, 1229, 1229, 1229, 1230, 1230, 1230, 1230,
2117                    1230, 1230, 1230, 1230, 1230, 1231, 1231, 1231, 1231, 1231, 1231, 1231, 1231, 1231,
2118                    1232, 1232, 1232, 1232, 1232, 1232, 1232, 1232, 1232, 1233, 1233, 1233, 1233, 1233,
2119                    1233, 1233, 1233, 1233, 1234, 1234, 1234, 1234, 1234, 1234, 1234, 1234, 1234, 1235,
2120                    1235, 1235, 1235, 1235, 1235, 1235, 1235, 1235, 1236, 1236, 1236, 1236, 1236, 1236,
2121                    1236, 1236, 1236, 1236, 1237, 1237, 1237, 1237, 1237, 1237, 1237, 1237, 1237, 1238,
2122                    1238, 1238, 1238, 1238, 1238, 1238, 1238, 1238, 1239, 1239, 1239, 1239, 1239, 1239,
2123                    1239, 1239, 1239, 1239, 1240, 1240, 1240, 1240, 1240, 1240, 1240, 1240, 1240, 1241,
2124                    1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1241, 1242, 1242, 1242, 1242, 1242,
2125                    1242, 1242, 1242, 1242, 1243, 1243, 1243, 1243, 1243, 1243, 1243, 1243, 1243, 1243,
2126                    1244, 1244, 1244, 1244, 1244, 1244, 1244, 1244, 1244, 1244, 1245, 1245, 1245, 1245,
2127                    1245, 1245, 1245, 1245, 1245, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246, 1246,
2128                    1246, 1247, 1247, 1247, 1247, 1247, 1247, 1247, 1247, 1247, 1247, 1248, 1248, 1248,
2129                    1248, 1248, 1248, 1248, 1248, 1248, 1248, 1249, 1249, 1249, 1249, 1249, 1249, 1249,
2130                    1249, 1249, 1249, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1250, 1251,
2131                    1251, 1251, 1251, 1251, 1251, 1251, 1251, 1251, 1251, 1252, 1252, 1252, 1252, 1252,
2132                    1252, 1252, 1252, 1252, 1252, 1253, 1253, 1253, 1253, 1253, 1253, 1253, 1253, 1253,
2133                    1253, 1253, 1254, 1254, 1254, 1254, 1254, 1254, 1254, 1254, 1254, 1254, 1255, 1255,
2134                    1255, 1255, 1255, 1255, 1255, 1255, 1255, 1255, 1256, 1256, 1256, 1256, 1256, 1256,
2135                    1256, 1256, 1256, 1256, 1256, 1257, 1257, 1257, 1257, 1257, 1257, 1257, 1257, 1257,
2136                    1257, 1258, 1258, 1258, 1258, 1258, 1258, 1258, 1258, 1258, 1258, 1258, 1259, 1259,
2137                    1259, 1259, 1259, 1259, 1259, 1259, 1259, 1259, 1260, 1260, 1260, 1260, 1260, 1260,
2138                    1260, 1260, 1260, 1260, 1260, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1261, 1261,
2139                    1261, 1261, 1262, 1262, 1262, 1262, 1262, 1262, 1262, 1262, 1262, 1262, 1262, 1263,
2140                    1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1263, 1264, 1264, 1264, 1264,
2141                    1264, 1264, 1264, 1264, 1264, 1264, 1264, 1265, 1265, 1265, 1265, 1265, 1265, 1265,
2142                    1265, 1265, 1265, 1265, 1266, 1266, 1266, 1266, 1266, 1266, 1266, 1266, 1266, 1266,
2143                    1266, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1267, 1268, 1268,
2144                    1268, 1268, 1268, 1268, 1268, 1268, 1268, 1268, 1268, 1269, 1269, 1269, 1269, 1269,
2145                    1269, 1269, 1269, 1269, 1269, 1269, 1270, 1270, 1270, 1270, 1270, 1270, 1270, 1270,
2146                    1270, 1270, 1270, 1270, 1271, 1271, 1271, 1271, 1271, 1271, 1271, 1271, 1271, 1271,
2147                    1271, 1272, 1272, 1272, 1272, 1272, 1272, 1272, 1272, 1272, 1272, 1272, 1272, 1273,
2148                    1273, 1273, 1273, 1273, 1273, 1273, 1273, 1273, 1273, 1273, 1274, 1274, 1274, 1274,
2149                    1274, 1274, 1274, 1274, 1274, 1274, 1274, 1274, 1275, 1275, 1275, 1275, 1275, 1275,
2150                    1275, 1275, 1275, 1275, 1275, 1275, 1276, 1276, 1276, 1276, 1276, 1276, 1276, 1276,
2151                    1276, 1276, 1276, 1276, 1277, 1277, 1277, 1277, 1277, 1277, 1277, 1277, 1277, 1277,
2152                    1277, 1277, 1278, 1278, 1278, 1278, 1278, 1278, 1278, 1278, 1278, 1278, 1278, 1278,
2153                    1279, 1279, 1279, 1279, 1279, 1279, 1279, 1279, 1279, 1279, 1279, 1279, 1280, 1280,
2154                    1280, 1280, 1280, 1280, 1280, 1280, 1280, 1280, 1280, 1280, 1281, 1281, 1281, 1281,
2155                    1281, 1281, 1281, 1281, 1281, 1281, 1281, 1281, 1282, 1282, 1282, 1282, 1282, 1282,
2156                    1282, 1282, 1282, 1282, 1282, 1282, 1282, 1283, 1283, 1283, 1283, 1283, 1283, 1283,
2157                    1283, 1283, 1283, 1283, 1283, 1284, 1284, 1284, 1284, 1284, 1284, 1284, 1284, 1284,
2158                    1284, 1284, 1284, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285, 1285,
2159                    1285, 1285, 1286, 1286, 1286, 1286, 1286, 1286, 1286, 1286, 1286, 1286, 1286, 1286,
2160                    1286, 1287, 1287, 1287, 1287, 1287, 1287, 1287, 1287, 1287, 1287, 1287, 1287, 1288,
2161                    1288, 1288, 1288, 1288, 1288, 1288, 1288, 1288, 1288, 1288, 1288, 1288, 1289, 1289,
2162                    1289, 1289, 1289, 1289, 1289, 1289, 1289, 1289, 1289, 1289, 1289, 1290, 1290, 1290,
2163                    1290, 1290, 1290, 1290, 1290, 1290, 1290, 1290, 1290, 1290, 1291, 1291, 1291, 1291,
2164                    1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1291, 1292, 1292, 1292, 1292, 1292,
2165                    1292, 1292, 1292, 1292, 1292, 1292, 1292, 1292, 1292, 1293, 1293, 1293, 1293, 1293,
2166                    1293, 1293, 1293, 1293, 1293, 1293, 1293, 1293, 1294, 1294, 1294, 1294, 1294, 1294,
2167                    1294, 1294, 1294, 1294, 1294, 1294, 1294, 1295, 1295, 1295, 1295, 1295, 1295, 1295,
2168                    1295, 1295, 1295, 1295, 1295, 1295, 1295, 1296, 1296, 1296, 1296, 1296, 1296, 1296,
2169                    1296, 1296, 1296, 1296, 1296, 1296, 1297, 1297, 1297, 1297, 1297, 1297, 1297, 1297,
2170                    1297, 1297, 1297, 1297, 1297, 1297, 1298, 1298, 1298, 1298, 1298, 1298, 1298, 1298,
2171                    1298, 1298, 1298, 1298, 1298, 1298, 1299, 1299, 1299, 1299, 1299, 1299, 1299, 1299,
2172                    1299, 1299, 1299, 1299, 1299, 1299, 1300, 1300, 1300, 1300, 1300, 1300, 1300, 1300,
2173                    1300, 1300, 1300, 1300, 1300, 1300, 1301, 1301, 1301, 1301, 1301, 1301, 1301, 1301,
2174                    1301, 1301, 1301, 1301, 1301, 1301, 1302, 1302, 1302, 1302, 1302, 1302, 1302, 1302,
2175                    1302, 1302, 1302, 1302, 1302, 1302, 1303, 1303, 1303, 1303, 1303, 1303, 1303, 1303,
2176                    1303, 1303, 1303, 1303, 1303, 1303, 1304, 1304, 1304, 1304, 1304, 1304, 1304, 1304,
2177                    1304, 1304, 1304, 1304, 1304, 1304, 1304, 1305, 1305, 1305, 1305, 1305, 1305, 1305,
2178                    1305, 1305, 1305, 1305, 1305, 1305, 1305, 1306, 1306, 1306, 1306, 1306, 1306, 1306,
2179                    1306, 1306, 1306, 1306, 1306, 1306, 1306, 1306, 1307, 1307, 1307, 1307, 1307, 1307,
2180                    1307, 1307, 1307, 1307, 1307, 1307, 1307, 1307, 1308, 1308, 1308, 1308, 1308, 1308,
2181                    1308, 1308, 1308, 1308, 1308, 1308, 1308, 1308, 1308, 1309, 1309, 1309, 1309, 1309,
2182                    1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1309, 1310, 1310, 1310, 1310,
2183                    1310, 1310, 1310, 1310, 1310, 1310, 1310, 1310, 1310, 1310, 1310, 1311, 1311, 1311,
2184                    1311, 1311, 1311, 1311, 1311, 1311, 1311, 1311, 1311, 1311, 1311, 1311, 1312, 1312,
2185                    1312, 1312, 1312, 1312, 1312, 1312, 1312, 1312, 1312, 1312, 1312, 1312, 1312, 1312,
2186                    1313, 1313, 1313, 1313, 1313, 1313, 1313, 1313, 1313, 1313, 1313, 1313, 1313, 1313,
2187                    1313, 1314, 1314, 1314, 1314, 1314, 1314, 1314, 1314, 1314, 1314, 1314, 1314, 1314,
2188                    1314, 1314, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315, 1315,
2189                    1315, 1315, 1315, 1315, 1316, 1316, 1316, 1316, 1316, 1316, 1316, 1316, 1316, 1316,
2190                    1316, 1316, 1316, 1316, 1316, 1316, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317,
2191                    1317, 1317, 1317, 1317, 1317, 1317, 1317, 1317, 1318, 1318, 1318, 1318, 1318, 1318,
2192                    1318, 1318, 1318, 1318, 1318, 1318, 1318, 1318, 1318, 1318, 1319, 1319, 1319, 1319,
2193                    1319, 1319, 1319, 1319, 1319, 1319, 1319, 1319, 1319, 1319, 1319, 1319, 1320, 1320,
2194                    1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320, 1320,
2195                    1321, 1321, 1321, 1321, 1321, 1321, 1321, 1321, 1321, 1321, 1321, 1321, 1321, 1321,
2196                    1321, 1321, 1322, 1322, 1322, 1322, 1322, 1322, 1322, 1322, 1322, 1322, 1322, 1322,
2197                    1322, 1322, 1322, 1322, 1322, 1323, 1323, 1323, 1323, 1323, 1323, 1323, 1323, 1323,
2198                    1323, 1323, 1323, 1323, 1323, 1323, 1323, 1324, 1324, 1324, 1324, 1324, 1324, 1324,
2199                    1324, 1324, 1324, 1324, 1324, 1324, 1324, 1324, 1324, 1324, 1325, 1325, 1325, 1325,
2200                    1325, 1325, 1325, 1325, 1325, 1325, 1325, 1325, 1325, 1325, 1325, 1325, 1325, 1326,
2201                    1326, 1326, 1326, 1326, 1326,
2202                ]
2203            },
2204            arctangent_hundredths: {
2205                [
2206                    -1521, -1521, -1521, -1521, -1521, -1521, -1521, -1521, -1521, -1521, -1521, -1521,
2207                    -1521, -1521, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520,
2208                    -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520,
2209                    -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520, -1520,
2210                    -1520, -1520, -1520, -1520, -1520, -1519, -1519, -1519, -1519, -1519, -1519, -1519,
2211                    -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519,
2212                    -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519, -1519,
2213                    -1519, -1519, -1519, -1519, -1519, -1519, -1518, -1518, -1518, -1518, -1518, -1518,
2214                    -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518,
2215                    -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518, -1518,
2216                    -1518, -1518, -1518, -1518, -1518, -1518, -1517, -1517, -1517, -1517, -1517, -1517,
2217                    -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517,
2218                    -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517, -1517,
2219                    -1517, -1517, -1517, -1517, -1517, -1516, -1516, -1516, -1516, -1516, -1516, -1516,
2220                    -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516,
2221                    -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516, -1516,
2222                    -1516, -1516, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515,
2223                    -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515,
2224                    -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1515, -1514, -1514,
2225                    -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514,
2226                    -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514, -1514,
2227                    -1514, -1514, -1514, -1514, -1514, -1513, -1513, -1513, -1513, -1513, -1513, -1513,
2228                    -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513,
2229                    -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1513, -1512,
2230                    -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512,
2231                    -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512, -1512,
2232                    -1512, -1512, -1512, -1512, -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1511,
2233                    -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1511,
2234                    -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1511, -1510, -1510, -1510, -1510,
2235                    -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510,
2236                    -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1510, -1509,
2237                    -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509,
2238                    -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509, -1509,
2239                    -1509, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508,
2240                    -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508, -1508,
2241                    -1508, -1508, -1508, -1507, -1507, -1507, -1507, -1507, -1507, -1507, -1507, -1507,
2242                    -1507, -1507, -1507, -1507, -1507, -1507, -1507, -1507, -1507, -1507, -1507, -1507,
2243                    -1507, -1507, -1507, -1506, -1506, -1506, -1506, -1506, -1506, -1506, -1506, -1506,
2244                    -1506, -1506, -1506, -1506, -1506, -1506, -1506, -1506, -1506, -1506, -1506, -1506,
2245                    -1506, -1506, -1506, -1505, -1505, -1505, -1505, -1505, -1505, -1505, -1505, -1505,
2246                    -1505, -1505, -1505, -1505, -1505, -1505, -1505, -1505, -1505, -1505, -1505, -1505,
2247                    -1505, -1505, -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504,
2248                    -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504, -1504,
2249                    -1504, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503,
2250                    -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1503, -1502,
2251                    -1502, -1502, -1502, -1502, -1502, -1502, -1502, -1502, -1502, -1502, -1502, -1502,
2252                    -1502, -1502, -1502, -1502, -1502, -1502, -1502, -1502, -1501, -1501, -1501, -1501,
2253                    -1501, -1501, -1501, -1501, -1501, -1501, -1501, -1501, -1501, -1501, -1501, -1501,
2254                    -1501, -1501, -1501, -1501, -1500, -1500, -1500, -1500, -1500, -1500, -1500, -1500,
2255                    -1500, -1500, -1500, -1500, -1500, -1500, -1500, -1500, -1500, -1500, -1500, -1500,
2256                    -1499, -1499, -1499, -1499, -1499, -1499, -1499, -1499, -1499, -1499, -1499, -1499,
2257                    -1499, -1499, -1499, -1499, -1499, -1499, -1499, -1499, -1498, -1498, -1498, -1498,
2258                    -1498, -1498, -1498, -1498, -1498, -1498, -1498, -1498, -1498, -1498, -1498, -1498,
2259                    -1498, -1498, -1498, -1497, -1497, -1497, -1497, -1497, -1497, -1497, -1497, -1497,
2260                    -1497, -1497, -1497, -1497, -1497, -1497, -1497, -1497, -1497, -1496, -1496, -1496,
2261                    -1496, -1496, -1496, -1496, -1496, -1496, -1496, -1496, -1496, -1496, -1496, -1496,
2262                    -1496, -1496, -1496, -1495, -1495, -1495, -1495, -1495, -1495, -1495, -1495, -1495,
2263                    -1495, -1495, -1495, -1495, -1495, -1495, -1495, -1495, -1494, -1494, -1494, -1494,
2264                    -1494, -1494, -1494, -1494, -1494, -1494, -1494, -1494, -1494, -1494, -1494, -1494,
2265                    -1494, -1493, -1493, -1493, -1493, -1493, -1493, -1493, -1493, -1493, -1493, -1493,
2266                    -1493, -1493, -1493, -1493, -1493, -1493, -1492, -1492, -1492, -1492, -1492, -1492,
2267                    -1492, -1492, -1492, -1492, -1492, -1492, -1492, -1492, -1492, -1492, -1491, -1491,
2268                    -1491, -1491, -1491, -1491, -1491, -1491, -1491, -1491, -1491, -1491, -1491, -1491,
2269                    -1491, -1491, -1490, -1490, -1490, -1490, -1490, -1490, -1490, -1490, -1490, -1490,
2270                    -1490, -1490, -1490, -1490, -1490, -1489, -1489, -1489, -1489, -1489, -1489, -1489,
2271                    -1489, -1489, -1489, -1489, -1489, -1489, -1489, -1489, -1488, -1488, -1488, -1488,
2272                    -1488, -1488, -1488, -1488, -1488, -1488, -1488, -1488, -1488, -1488, -1488, -1487,
2273                    -1487, -1487, -1487, -1487, -1487, -1487, -1487, -1487, -1487, -1487, -1487, -1487,
2274                    -1487, -1486, -1486, -1486, -1486, -1486, -1486, -1486, -1486, -1486, -1486, -1486,
2275                    -1486, -1486, -1486, -1485, -1485, -1485, -1485, -1485, -1485, -1485, -1485, -1485,
2276                    -1485, -1485, -1485, -1485, -1485, -1484, -1484, -1484, -1484, -1484, -1484, -1484,
2277                    -1484, -1484, -1484, -1484, -1484, -1484, -1483, -1483, -1483, -1483, -1483, -1483,
2278                    -1483, -1483, -1483, -1483, -1483, -1483, -1483, -1482, -1482, -1482, -1482, -1482,
2279                    -1482, -1482, -1482, -1482, -1482, -1482, -1482, -1482, -1481, -1481, -1481, -1481,
2280                    -1481, -1481, -1481, -1481, -1481, -1481, -1481, -1481, -1480, -1480, -1480, -1480,
2281                    -1480, -1480, -1480, -1480, -1480, -1480, -1480, -1480, -1479, -1479, -1479, -1479,
2282                    -1479, -1479, -1479, -1479, -1479, -1479, -1479, -1479, -1478, -1478, -1478, -1478,
2283                    -1478, -1478, -1478, -1478, -1478, -1478, -1478, -1478, -1477, -1477, -1477, -1477,
2284                    -1477, -1477, -1477, -1477, -1477, -1477, -1477, -1476, -1476, -1476, -1476, -1476,
2285                    -1476, -1476, -1476, -1476, -1476, -1476, -1475, -1475, -1475, -1475, -1475, -1475,
2286                    -1475, -1475, -1475, -1475, -1475, -1474, -1474, -1474, -1474, -1474, -1474, -1474,
2287                    -1474, -1474, -1474, -1474, -1473, -1473, -1473, -1473, -1473, -1473, -1473, -1473,
2288                    -1473, -1473, -1472, -1472, -1472, -1472, -1472, -1472, -1472, -1472, -1472, -1472,
2289                    -1472, -1471, -1471, -1471, -1471, -1471, -1471, -1471, -1471, -1471, -1471, -1470,
2290                    -1470, -1470, -1470, -1470, -1470, -1470, -1470, -1470, -1470, -1469, -1469, -1469,
2291                    -1469, -1469, -1469, -1469, -1469, -1469, -1468, -1468, -1468, -1468, -1468, -1468,
2292                    -1468, -1468, -1468, -1468, -1467, -1467, -1467, -1467, -1467, -1467, -1467, -1467,
2293                    -1467, -1466, -1466, -1466, -1466, -1466, -1466, -1466, -1466, -1466, -1465, -1465,
2294                    -1465, -1465, -1465, -1465, -1465, -1465, -1465, -1464, -1464, -1464, -1464, -1464,
2295                    -1464, -1464, -1464, -1464, -1463, -1463, -1463, -1463, -1463, -1463, -1463, -1463,
2296                    -1463, -1462, -1462, -1462, -1462, -1462, -1462, -1462, -1462, -1461, -1461, -1461,
2297                    -1461, -1461, -1461, -1461, -1461, -1461, -1460, -1460, -1460, -1460, -1460, -1460,
2298                    -1460, -1460, -1459, -1459, -1459, -1459, -1459, -1459, -1459, -1459, -1458, -1458,
2299                    -1458, -1458, -1458, -1458, -1458, -1458, -1457, -1457, -1457, -1457, -1457, -1457,
2300                    -1457, -1456, -1456, -1456, -1456, -1456, -1456, -1456, -1456, -1455, -1455, -1455,
2301                    -1455, -1455, -1455, -1455, -1455, -1454, -1454, -1454, -1454, -1454, -1454, -1454,
2302                    -1453, -1453, -1453, -1453, -1453, -1453, -1453, -1452, -1452, -1452, -1452, -1452,
2303                    -1452, -1452, -1451, -1451, -1451, -1451, -1451, -1451, -1451, -1450, -1450, -1450,
2304                    -1450, -1450, -1450, -1450, -1449, -1449, -1449, -1449, -1449, -1449, -1449, -1448,
2305                    -1448, -1448, -1448, -1448, -1448, -1448, -1447, -1447, -1447, -1447, -1447, -1447,
2306                    -1446, -1446, -1446, -1446, -1446, -1446, -1446, -1445, -1445, -1445, -1445, -1445,
2307                    -1445, -1444, -1444, -1444, -1444, -1444, -1444, -1443, -1443, -1443, -1443, -1443,
2308                    -1443, -1442, -1442, -1442, -1442, -1442, -1442, -1441, -1441, -1441, -1441, -1441,
2309                    -1441, -1440, -1440, -1440, -1440, -1440, -1440, -1439, -1439, -1439, -1439, -1439,
2310                    -1439, -1438, -1438, -1438, -1438, -1438, -1438, -1437, -1437, -1437, -1437, -1437,
2311                    -1436, -1436, -1436, -1436, -1436, -1436, -1435, -1435, -1435, -1435, -1435, -1434,
2312                    -1434, -1434, -1434, -1434, -1434, -1433, -1433, -1433, -1433, -1433, -1432, -1432,
2313                    -1432, -1432, -1432, -1431, -1431, -1431, -1431, -1431, -1430, -1430, -1430, -1430,
2314                    -1430, -1429, -1429, -1429, -1429, -1429, -1428, -1428, -1428, -1428, -1428, -1427,
2315                    -1427, -1427, -1427, -1427, -1426, -1426, -1426, -1426, -1426, -1425, -1425, -1425,
2316                    -1425, -1425, -1424, -1424, -1424, -1424, -1424, -1423, -1423, -1423, -1423, -1422,
2317                    -1422, -1422, -1422, -1422, -1421, -1421, -1421, -1421, -1420, -1420, -1420, -1420,
2318                    -1420, -1419, -1419, -1419, -1419, -1418, -1418, -1418, -1418, -1417, -1417, -1417,
2319                    -1417, -1417, -1416, -1416, -1416, -1416, -1415, -1415, -1415, -1415, -1414, -1414,
2320                    -1414, -1414, -1413, -1413, -1413, -1413, -1412, -1412, -1412, -1412, -1411, -1411,
2321                    -1411, -1411, -1410, -1410, -1410, -1410, -1409, -1409, -1409, -1409, -1408, -1408,
2322                    -1408, -1408, -1407, -1407, -1407, -1406, -1406, -1406, -1406, -1405, -1405, -1405,
2323                    -1405, -1404, -1404, -1404, -1403, -1403, -1403, -1403, -1402, -1402, -1402, -1401,
2324                    -1401, -1401, -1401, -1400, -1400, -1400, -1399, -1399, -1399, -1399, -1398, -1398,
2325                    -1398, -1397, -1397, -1397, -1397, -1396, -1396, -1396, -1395, -1395, -1395, -1394,
2326                    -1394, -1394, -1393, -1393, -1393, -1393, -1392, -1392, -1392, -1391, -1391, -1391,
2327                    -1390, -1390, -1390, -1389, -1389, -1389, -1388, -1388, -1388, -1387, -1387, -1387,
2328                    -1386, -1386, -1386, -1385, -1385, -1385, -1384, -1384, -1384, -1383, -1383, -1383,
2329                    -1382, -1382, -1382, -1381, -1381, -1380, -1380, -1380, -1379, -1379, -1379, -1378,
2330                    -1378, -1378, -1377, -1377, -1376, -1376, -1376, -1375, -1375, -1375, -1374, -1374,
2331                    -1373, -1373, -1373, -1372, -1372, -1371, -1371, -1371, -1370, -1370, -1369, -1369,
2332                    -1369, -1368, -1368, -1367, -1367, -1367, -1366, -1366, -1365, -1365, -1365, -1364,
2333                    -1364, -1363, -1363, -1362, -1362, -1362, -1361, -1361, -1360, -1360, -1359, -1359,
2334                    -1359, -1358, -1358, -1357, -1357, -1356, -1356, -1355, -1355, -1354, -1354, -1354,
2335                    -1353, -1353, -1352, -1352, -1351, -1351, -1350, -1350, -1349, -1349, -1348, -1348,
2336                    -1347, -1347, -1346, -1346, -1345, -1345, -1344, -1344, -1343, -1343, -1342, -1342,
2337                    -1341, -1341, -1340, -1340, -1339, -1339, -1338, -1338, -1337, -1337, -1336, -1335,
2338                    -1335, -1334, -1334, -1333, -1333, -1332, -1332, -1331, -1330, -1330, -1329, -1329,
2339                    -1328, -1328, -1327, -1326, -1326, -1325, -1325, -1324, -1323, -1323, -1322, -1322,
2340                    -1321, -1320, -1320, -1319, -1319, -1318, -1317, -1317, -1316, -1315, -1315, -1314,
2341                    -1313, -1313, -1312, -1312, -1311, -1310, -1310, -1309, -1308, -1308, -1307, -1306,
2342                    -1305, -1305, -1304, -1303, -1303, -1302, -1301, -1301, -1300, -1299, -1298, -1298,
2343                    -1297, -1296, -1295, -1295, -1294, -1293, -1292, -1292, -1291, -1290, -1289, -1289,
2344                    -1288, -1287, -1286, -1286, -1285, -1284, -1283, -1282, -1282, -1281, -1280, -1279,
2345                    -1278, -1277, -1277, -1276, -1275, -1274, -1273, -1272, -1271, -1271, -1270, -1269,
2346                    -1268, -1267, -1266, -1265, -1264, -1263, -1262, -1262, -1261, -1260, -1259, -1258,
2347                    -1257, -1256, -1255, -1254, -1253, -1252, -1251, -1250, -1249, -1248, -1247, -1246,
2348                    -1245, -1244, -1243, -1242, -1241, -1240, -1239, -1238, -1237, -1236, -1234, -1233,
2349                    -1232, -1231, -1230, -1229, -1228, -1227, -1225, -1224, -1223, -1222, -1221, -1220,
2350                    -1218, -1217, -1216, -1215, -1214, -1212, -1211, -1210, -1209, -1207, -1206, -1205,
2351                    -1204, -1202, -1201, -1200, -1198, -1197, -1196, -1194, -1193, -1192, -1190, -1189,
2352                    -1188, -1186, -1185, -1183, -1182, -1180, -1179, -1177, -1176, -1175, -1173, -1172,
2353                    -1170, -1168, -1167, -1165, -1164, -1162, -1161, -1159, -1157, -1156, -1154, -1153,
2354                    -1151, -1149, -1148, -1146, -1144, -1142, -1141, -1139, -1137, -1135, -1134, -1132,
2355                    -1130, -1128, -1126, -1125, -1123, -1121, -1119, -1117, -1115, -1113, -1111, -1109,
2356                    -1107, -1105, -1103, -1101, -1099, -1097, -1095, -1093, -1091, -1088, -1086, -1084,
2357                    -1082, -1080, -1077, -1075, -1073, -1071, -1068, -1066, -1064, -1061, -1059, -1057,
2358                    -1054, -1052, -1049, -1047, -1044, -1042, -1039, -1036, -1034, -1031, -1029, -1026,
2359                    -1023, -1021, -1018, -1015, -1012, -1009, -1007, -1004, -1001, -998, -995, -992,
2360                    -989, -986, -983, -980, -977, -973, -970, -967, -964, -961, -957, -954, -951, -947,
2361                    -944, -940, -937, -933, -930, -926, -922, -919, -915, -911, -908, -904, -900, -896,
2362                    -892, -888, -884, -880, -876, -872, -868, -864, -859, -855, -851, -846, -842, -837,
2363                    -833, -828, -824, -819, -815, -810, -805, -800, -795, -790, -785, -780, -775, -770,
2364                    -765, -760, -754, -749, -744, -738, -733, -727, -722, -716, -710, -704, -699, -693,
2365                    -687, -681, -675, -669, -662, -656, -650, -644, -637, -631, -624, -617, -611, -604,
2366                    -597, -590, -583, -576, -569, -562, -555, -548, -540, -533, -526, -518, -510, -503,
2367                    -495, -487, -480, -472, -464, -456, -448, -439, -431, -423, -415, -406, -398, -389,
2368                    -381, -372, -363, -354, -346, -337, -328, -319, -310, -301, -291, -282, -273, -264,
2369                    -254, -245, -236, -226, -217, -207, -197, -188, -178, -168, -159, -149, -139, -129,
2370                    -119, -110, -100, -90, -80, -70, -60, -50, -40, -30, -20, -10, 0, 10, 20, 30,
2371                    40, 50, 60, 70, 80, 90, 100, 110, 119, 129, 139, 149, 159, 168, 178, 188, 197, 207,
2372                    217, 226, 236, 245, 254, 264, 273, 282, 291, 301, 310, 319, 328, 337, 346, 354,
2373                    363, 372, 381, 389, 398, 406, 415, 423, 431, 439, 448, 456, 464, 472, 480, 487,
2374                    495, 503, 510, 518, 526, 533, 540, 548, 555, 562, 569, 576, 583, 590, 597, 604,
2375                    611, 617, 624, 631, 637, 644, 650, 656, 662, 669, 675, 681, 687, 693, 699, 704,
2376                    710, 716, 722, 727, 733, 738, 744, 749, 754, 760, 765, 770, 775, 780, 785, 790,
2377                    795, 800, 805, 810, 815, 819, 824, 828, 833, 837, 842, 846, 851, 855, 859, 864,
2378                    868, 872, 876, 880, 884, 888, 892, 896, 900, 904, 908, 911, 915, 919, 922, 926,
2379                    930, 933, 937, 940, 944, 947, 951, 954, 957, 961, 964, 967, 970, 973, 977, 980,
2380                    983, 986, 989, 992, 995, 998, 1001, 1004, 1007, 1009, 1012, 1015, 1018, 1021,
2381                    1023, 1026, 1029, 1031, 1034, 1036, 1039, 1042, 1044, 1047, 1049, 1052, 1054, 1057,
2382                    1059, 1061, 1064, 1066, 1068, 1071, 1073, 1075, 1077, 1080, 1082, 1084, 1086, 1088,
2383                    1091, 1093, 1095, 1097, 1099, 1101, 1103, 1105, 1107, 1109, 1111, 1113, 1115, 1117,
2384                    1119, 1121, 1123, 1125, 1126, 1128, 1130, 1132, 1134, 1135, 1137, 1139, 1141, 1142,
2385                    1144, 1146, 1148, 1149, 1151, 1153, 1154, 1156, 1157, 1159, 1161, 1162, 1164, 1165,
2386                    1167, 1168, 1170, 1172, 1173, 1175, 1176, 1177, 1179, 1180, 1182, 1183, 1185, 1186,
2387                    1188, 1189, 1190, 1192, 1193, 1194, 1196, 1197, 1198, 1200, 1201, 1202, 1204, 1205,
2388                    1206, 1207, 1209, 1210, 1211, 1212, 1214, 1215, 1216, 1217, 1218, 1220, 1221, 1222,
2389                    1223, 1224, 1225, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1236, 1237, 1238,
2390                    1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252,
2391                    1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1262, 1263, 1264, 1265,
2392                    1266, 1267, 1268, 1269, 1270, 1271, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1277,
2393                    1278, 1279, 1280, 1281, 1282, 1282, 1283, 1284, 1285, 1286, 1286, 1287, 1288, 1289,
2394                    1289, 1290, 1291, 1292, 1292, 1293, 1294, 1295, 1295, 1296, 1297, 1298, 1298, 1299,
2395                    1300, 1301, 1301, 1302, 1303, 1303, 1304, 1305, 1305, 1306, 1307, 1308, 1308, 1309,
2396                    1310, 1310, 1311, 1312, 1312, 1313, 1313, 1314, 1315, 1315, 1316, 1317, 1317, 1318,
2397                    1319, 1319, 1320, 1320, 1321, 1322, 1322, 1323, 1323, 1324, 1325, 1325, 1326, 1326,
2398                    1327, 1328, 1328, 1329, 1329, 1330, 1330, 1331, 1332, 1332, 1333, 1333, 1334, 1334,
2399                    1335, 1335, 1336, 1337, 1337, 1338, 1338, 1339, 1339, 1340, 1340, 1341, 1341, 1342,
2400                    1342, 1343, 1343, 1344, 1344, 1345, 1345, 1346, 1346, 1347, 1347, 1348, 1348, 1349,
2401                    1349, 1350, 1350, 1351, 1351, 1352, 1352, 1353, 1353, 1354, 1354, 1354, 1355, 1355,
2402                    1356, 1356, 1357, 1357, 1358, 1358, 1359, 1359, 1359, 1360, 1360, 1361, 1361, 1362,
2403                    1362, 1362, 1363, 1363, 1364, 1364, 1365, 1365, 1365, 1366, 1366, 1367, 1367, 1367,
2404                    1368, 1368, 1369, 1369, 1369, 1370, 1370, 1371, 1371, 1371, 1372, 1372, 1373, 1373,
2405                    1373, 1374, 1374, 1375, 1375, 1375, 1376, 1376, 1376, 1377, 1377, 1378, 1378, 1378,
2406                    1379, 1379, 1379, 1380, 1380, 1380, 1381, 1381, 1382, 1382, 1382, 1383, 1383, 1383,
2407                    1384, 1384, 1384, 1385, 1385, 1385, 1386, 1386, 1386, 1387, 1387, 1387, 1388, 1388,
2408                    1388, 1389, 1389, 1389, 1390, 1390, 1390, 1391, 1391, 1391, 1392, 1392, 1392, 1393,
2409                    1393, 1393, 1393, 1394, 1394, 1394, 1395, 1395, 1395, 1396, 1396, 1396, 1397, 1397,
2410                    1397, 1397, 1398, 1398, 1398, 1399, 1399, 1399, 1399, 1400, 1400, 1400, 1401, 1401,
2411                    1401, 1401, 1402, 1402, 1402, 1403, 1403, 1403, 1403, 1404, 1404, 1404, 1405, 1405,
2412                    1405, 1405, 1406, 1406, 1406, 1406, 1407, 1407, 1407, 1408, 1408, 1408, 1408, 1409,
2413                    1409, 1409, 1409, 1410, 1410, 1410, 1410, 1411, 1411, 1411, 1411, 1412, 1412, 1412,
2414                    1412, 1413, 1413, 1413, 1413, 1414, 1414, 1414, 1414, 1415, 1415, 1415, 1415, 1416,
2415                    1416, 1416, 1416, 1417, 1417, 1417, 1417, 1417, 1418, 1418, 1418, 1418, 1419, 1419,
2416                    1419, 1419, 1420, 1420, 1420, 1420, 1420, 1421, 1421, 1421, 1421, 1422, 1422, 1422,
2417                    1422, 1422, 1423, 1423, 1423, 1423, 1424, 1424, 1424, 1424, 1424, 1425, 1425, 1425,
2418                    1425, 1425, 1426, 1426, 1426, 1426, 1426, 1427, 1427, 1427, 1427, 1427, 1428, 1428,
2419                    1428, 1428, 1428, 1429, 1429, 1429, 1429, 1429, 1430, 1430, 1430, 1430, 1430, 1431,
2420                    1431, 1431, 1431, 1431, 1432, 1432, 1432, 1432, 1432, 1433, 1433, 1433, 1433, 1433,
2421                    1434, 1434, 1434, 1434, 1434, 1434, 1435, 1435, 1435, 1435, 1435, 1436, 1436, 1436,
2422                    1436, 1436, 1436, 1437, 1437, 1437, 1437, 1437, 1438, 1438, 1438, 1438, 1438, 1438,
2423                    1439, 1439, 1439, 1439, 1439, 1439, 1440, 1440, 1440, 1440, 1440, 1440, 1441, 1441,
2424                    1441, 1441, 1441, 1441, 1442, 1442, 1442, 1442, 1442, 1442, 1443, 1443, 1443, 1443,
2425                    1443, 1443, 1444, 1444, 1444, 1444, 1444, 1444, 1445, 1445, 1445, 1445, 1445, 1445,
2426                    1446, 1446, 1446, 1446, 1446, 1446, 1446, 1447, 1447, 1447, 1447, 1447, 1447, 1448,
2427                    1448, 1448, 1448, 1448, 1448, 1448, 1449, 1449, 1449, 1449, 1449, 1449, 1449, 1450,
2428                    1450, 1450, 1450, 1450, 1450, 1450, 1451, 1451, 1451, 1451, 1451, 1451, 1451, 1452,
2429                    1452, 1452, 1452, 1452, 1452, 1452, 1453, 1453, 1453, 1453, 1453, 1453, 1453, 1454,
2430                    1454, 1454, 1454, 1454, 1454, 1454, 1455, 1455, 1455, 1455, 1455, 1455, 1455, 1455,
2431                    1456, 1456, 1456, 1456, 1456, 1456, 1456, 1456, 1457, 1457, 1457, 1457, 1457, 1457,
2432                    1457, 1458, 1458, 1458, 1458, 1458, 1458, 1458, 1458, 1459, 1459, 1459, 1459, 1459,
2433                    1459, 1459, 1459, 1460, 1460, 1460, 1460, 1460, 1460, 1460, 1460, 1461, 1461, 1461,
2434                    1461, 1461, 1461, 1461, 1461, 1461, 1462, 1462, 1462, 1462, 1462, 1462, 1462, 1462,
2435                    1463, 1463, 1463, 1463, 1463, 1463, 1463, 1463, 1463, 1464, 1464, 1464, 1464, 1464,
2436                    1464, 1464, 1464, 1464, 1465, 1465, 1465, 1465, 1465, 1465, 1465, 1465, 1465, 1466,
2437                    1466, 1466, 1466, 1466, 1466, 1466, 1466, 1466, 1467, 1467, 1467, 1467, 1467, 1467,
2438                    1467, 1467, 1467, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1469,
2439                    1469, 1469, 1469, 1469, 1469, 1469, 1469, 1469, 1470, 1470, 1470, 1470, 1470, 1470,
2440                    1470, 1470, 1470, 1470, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471, 1471,
2441                    1472, 1472, 1472, 1472, 1472, 1472, 1472, 1472, 1472, 1472, 1472, 1473, 1473, 1473,
2442                    1473, 1473, 1473, 1473, 1473, 1473, 1473, 1474, 1474, 1474, 1474, 1474, 1474, 1474,
2443                    1474, 1474, 1474, 1474, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475, 1475,
2444                    1475, 1476, 1476, 1476, 1476, 1476, 1476, 1476, 1476, 1476, 1476, 1476, 1477, 1477,
2445                    1477, 1477, 1477, 1477, 1477, 1477, 1477, 1477, 1477, 1478, 1478, 1478, 1478, 1478,
2446                    1478, 1478, 1478, 1478, 1478, 1478, 1478, 1479, 1479, 1479, 1479, 1479, 1479, 1479,
2447                    1479, 1479, 1479, 1479, 1479, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480, 1480,
2448                    1480, 1480, 1480, 1481, 1481, 1481, 1481, 1481, 1481, 1481, 1481, 1481, 1481, 1481,
2449                    1481, 1482, 1482, 1482, 1482, 1482, 1482, 1482, 1482, 1482, 1482, 1482, 1482, 1482,
2450                    1483, 1483, 1483, 1483, 1483, 1483, 1483, 1483, 1483, 1483, 1483, 1483, 1483, 1484,
2451                    1484, 1484, 1484, 1484, 1484, 1484, 1484, 1484, 1484, 1484, 1484, 1484, 1485, 1485,
2452                    1485, 1485, 1485, 1485, 1485, 1485, 1485, 1485, 1485, 1485, 1485, 1485, 1486, 1486,
2453                    1486, 1486, 1486, 1486, 1486, 1486, 1486, 1486, 1486, 1486, 1486, 1486, 1487, 1487,
2454                    1487, 1487, 1487, 1487, 1487, 1487, 1487, 1487, 1487, 1487, 1487, 1487, 1488, 1488,
2455                    1488, 1488, 1488, 1488, 1488, 1488, 1488, 1488, 1488, 1488, 1488, 1488, 1488, 1489,
2456                    1489, 1489, 1489, 1489, 1489, 1489, 1489, 1489, 1489, 1489, 1489, 1489, 1489, 1489,
2457                    1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490, 1490,
2458                    1490, 1491, 1491, 1491, 1491, 1491, 1491, 1491, 1491, 1491, 1491, 1491, 1491, 1491,
2459                    1491, 1491, 1491, 1492, 1492, 1492, 1492, 1492, 1492, 1492, 1492, 1492, 1492, 1492,
2460                    1492, 1492, 1492, 1492, 1492, 1493, 1493, 1493, 1493, 1493, 1493, 1493, 1493, 1493,
2461                    1493, 1493, 1493, 1493, 1493, 1493, 1493, 1493, 1494, 1494, 1494, 1494, 1494, 1494,
2462                    1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1494, 1495, 1495, 1495,
2463                    1495, 1495, 1495, 1495, 1495, 1495, 1495, 1495, 1495, 1495, 1495, 1495, 1495, 1495,
2464                    1496, 1496, 1496, 1496, 1496, 1496, 1496, 1496, 1496, 1496, 1496, 1496, 1496, 1496,
2465                    1496, 1496, 1496, 1496, 1497, 1497, 1497, 1497, 1497, 1497, 1497, 1497, 1497, 1497,
2466                    1497, 1497, 1497, 1497, 1497, 1497, 1497, 1497, 1498, 1498, 1498, 1498, 1498, 1498,
2467                    1498, 1498, 1498, 1498, 1498, 1498, 1498, 1498, 1498, 1498, 1498, 1498, 1498, 1499,
2468                    1499, 1499, 1499, 1499, 1499, 1499, 1499, 1499, 1499, 1499, 1499, 1499, 1499, 1499,
2469                    1499, 1499, 1499, 1499, 1499, 1500, 1500, 1500, 1500, 1500, 1500, 1500, 1500, 1500,
2470                    1500, 1500, 1500, 1500, 1500, 1500, 1500, 1500, 1500, 1500, 1500, 1501, 1501, 1501,
2471                    1501, 1501, 1501, 1501, 1501, 1501, 1501, 1501, 1501, 1501, 1501, 1501, 1501, 1501,
2472                    1501, 1501, 1501, 1502, 1502, 1502, 1502, 1502, 1502, 1502, 1502, 1502, 1502, 1502,
2473                    1502, 1502, 1502, 1502, 1502, 1502, 1502, 1502, 1502, 1502, 1503, 1503, 1503, 1503,
2474                    1503, 1503, 1503, 1503, 1503, 1503, 1503, 1503, 1503, 1503, 1503, 1503, 1503, 1503,
2475                    1503, 1503, 1503, 1503, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504,
2476                    1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1504, 1505,
2477                    1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505,
2478                    1505, 1505, 1505, 1505, 1505, 1505, 1505, 1505, 1506, 1506, 1506, 1506, 1506, 1506,
2479                    1506, 1506, 1506, 1506, 1506, 1506, 1506, 1506, 1506, 1506, 1506, 1506, 1506, 1506,
2480                    1506, 1506, 1506, 1506, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507,
2481                    1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507, 1507,
2482                    1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508,
2483                    1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1508, 1509, 1509,
2484                    1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509,
2485                    1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1509, 1510, 1510, 1510, 1510,
2486                    1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510,
2487                    1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1510, 1511, 1511, 1511, 1511, 1511,
2488                    1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511,
2489                    1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1511, 1512, 1512, 1512, 1512, 1512,
2490                    1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512,
2491                    1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1512, 1513, 1513, 1513, 1513,
2492                    1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513,
2493                    1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1513, 1514, 1514,
2494                    1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514,
2495                    1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514, 1514,
2496                    1514, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515,
2497                    1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515, 1515,
2498                    1515, 1515, 1515, 1515, 1515, 1516, 1516, 1516, 1516, 1516, 1516, 1516, 1516, 1516,
2499                    1516, 1516, 1516, 1516, 1516, 1516, 1516, 1516, 1516, 1516, 1516, 1516, 1516, 1516,
2500                    1516, 1516, 1516, 1516, 1516, 1516, 1516, 1516, 1516, 1516, 1517, 1517, 1517, 1517,
2501                    1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517,
2502                    1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517,
2503                    1517, 1517, 1517, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518,
2504                    1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518,
2505                    1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1518, 1519, 1519, 1519,
2506                    1519, 1519, 1519, 1519, 1519, 1519, 1519, 1519, 1519, 1519, 1519, 1519, 1519, 1519,
2507                    1519, 1519, 1519, 1519, 1519, 1519, 1519, 1519, 1519, 1519, 1519, 1519, 1519, 1519,
2508                    1519, 1519, 1519, 1519, 1519, 1519, 1520, 1520, 1520, 1520, 1520, 1520, 1520, 1520,
2509                    1520, 1520, 1520, 1520, 1520, 1520, 1520, 1520, 1520, 1520, 1520, 1520, 1520, 1520,
2510                    1520, 1520, 1520, 1520, 1520, 1520, 1520, 1520, 1520, 1520, 1520, 1520, 1520, 1520,
2511                    1520, 1520, 1520, 1521, 1521, 1521, 1521, 1521, 1521, 1521, 1521, 1521, 1521, 1521,
2512                    1521, 1521, 1521,
2513                ]
2514            },
2515            arctangent_tenths: {
2516                [
2517                    -1561, -1561, -1561, -1561, -1561, -1561, -1561, -1561, -1561, -1561, -1561, -1561,
2518                    -1561, -1561, -1561, -1561, -1561, -1561, -1561, -1561, -1561, -1561, -1561, -1561,
2519                    -1561, -1561, -1561, -1561, -1561, -1560, -1560, -1560, -1560, -1560, -1560, -1560,
2520                    -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560,
2521                    -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560,
2522                    -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560,
2523                    -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560,
2524                    -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560,
2525                    -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560,
2526                    -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1559, -1559, -1559, -1559, -1559,
2527                    -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559,
2528                    -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559,
2529                    -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559,
2530                    -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559,
2531                    -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1559,
2532                    -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1558, -1558, -1558, -1558, -1558,
2533                    -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558,
2534                    -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558,
2535                    -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558,
2536                    -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558,
2537                    -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1558, -1557, -1557, -1557, -1557,
2538                    -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557,
2539                    -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557,
2540                    -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557,
2541                    -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557, -1557,
2542                    -1557, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556,
2543                    -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556,
2544                    -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556,
2545                    -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1556, -1555,
2546                    -1555, -1555, -1555, -1555, -1555, -1555, -1555, -1555, -1555, -1555, -1555, -1555,
2547                    -1555, -1555, -1555, -1555, -1555, -1555, -1555, -1555, -1555, -1555, -1555, -1555,
2548                    -1555, -1555, -1555, -1555, -1555, -1555, -1555, -1555, -1555, -1555, -1555, -1555,
2549                    -1555, -1555, -1555, -1554, -1554, -1554, -1554, -1554, -1554, -1554, -1554, -1554,
2550                    -1554, -1554, -1554, -1554, -1554, -1554, -1554, -1554, -1554, -1554, -1554, -1554,
2551                    -1554, -1554, -1554, -1554, -1554, -1554, -1554, -1554, -1554, -1554, -1554, -1554,
2552                    -1554, -1554, -1553, -1553, -1553, -1553, -1553, -1553, -1553, -1553, -1553, -1553,
2553                    -1553, -1553, -1553, -1553, -1553, -1553, -1553, -1553, -1553, -1553, -1553, -1553,
2554                    -1553, -1553, -1553, -1553, -1553, -1553, -1553, -1553, -1553, -1553, -1552, -1552,
2555                    -1552, -1552, -1552, -1552, -1552, -1552, -1552, -1552, -1552, -1552, -1552, -1552,
2556                    -1552, -1552, -1552, -1552, -1552, -1552, -1552, -1552, -1552, -1552, -1552, -1552,
2557                    -1552, -1552, -1551, -1551, -1551, -1551, -1551, -1551, -1551, -1551, -1551, -1551,
2558                    -1551, -1551, -1551, -1551, -1551, -1551, -1551, -1551, -1551, -1551, -1551, -1551,
2559                    -1551, -1551, -1551, -1551, -1550, -1550, -1550, -1550, -1550, -1550, -1550, -1550,
2560                    -1550, -1550, -1550, -1550, -1550, -1550, -1550, -1550, -1550, -1550, -1550, -1550,
2561                    -1550, -1550, -1550, -1549, -1549, -1549, -1549, -1549, -1549, -1549, -1549, -1549,
2562                    -1549, -1549, -1549, -1549, -1549, -1549, -1549, -1549, -1549, -1549, -1549, -1549,
2563                    -1548, -1548, -1548, -1548, -1548, -1548, -1548, -1548, -1548, -1548, -1548, -1548,
2564                    -1548, -1548, -1548, -1548, -1548, -1548, -1548, -1547, -1547, -1547, -1547, -1547,
2565                    -1547, -1547, -1547, -1547, -1547, -1547, -1547, -1547, -1547, -1547, -1547, -1547,
2566                    -1547, -1546, -1546, -1546, -1546, -1546, -1546, -1546, -1546, -1546, -1546, -1546,
2567                    -1546, -1546, -1546, -1546, -1546, -1545, -1545, -1545, -1545, -1545, -1545, -1545,
2568                    -1545, -1545, -1545, -1545, -1545, -1545, -1545, -1545, -1544, -1544, -1544, -1544,
2569                    -1544, -1544, -1544, -1544, -1544, -1544, -1544, -1544, -1544, -1544, -1543, -1543,
2570                    -1543, -1543, -1543, -1543, -1543, -1543, -1543, -1543, -1543, -1543, -1543, -1542,
2571                    -1542, -1542, -1542, -1542, -1542, -1542, -1542, -1542, -1542, -1542, -1542, -1541,
2572                    -1541, -1541, -1541, -1541, -1541, -1541, -1541, -1541, -1541, -1541, -1541, -1540,
2573                    -1540, -1540, -1540, -1540, -1540, -1540, -1540, -1540, -1540, -1539, -1539, -1539,
2574                    -1539, -1539, -1539, -1539, -1539, -1539, -1539, -1538, -1538, -1538, -1538, -1538,
2575                    -1538, -1538, -1538, -1538, -1537, -1537, -1537, -1537, -1537, -1537, -1537, -1537,
2576                    -1537, -1536, -1536, -1536, -1536, -1536, -1536, -1536, -1536, -1535, -1535, -1535,
2577                    -1535, -1535, -1535, -1535, -1535, -1534, -1534, -1534, -1534, -1534, -1534, -1534,
2578                    -1534, -1533, -1533, -1533, -1533, -1533, -1533, -1533, -1532, -1532, -1532, -1532,
2579                    -1532, -1532, -1531, -1531, -1531, -1531, -1531, -1531, -1530, -1530, -1530, -1530,
2580                    -1530, -1530, -1529, -1529, -1529, -1529, -1529, -1529, -1528, -1528, -1528, -1528,
2581                    -1528, -1528, -1527, -1527, -1527, -1527, -1527, -1526, -1526, -1526, -1526, -1526,
2582                    -1525, -1525, -1525, -1525, -1525, -1524, -1524, -1524, -1524, -1523, -1523, -1523,
2583                    -1523, -1523, -1522, -1522, -1522, -1522, -1521, -1521, -1521, -1521, -1520, -1520,
2584                    -1520, -1520, -1519, -1519, -1519, -1518, -1518, -1518, -1518, -1517, -1517, -1517,
2585                    -1517, -1516, -1516, -1516, -1515, -1515, -1515, -1514, -1514, -1514, -1513, -1513,
2586                    -1513, -1512, -1512, -1512, -1511, -1511, -1511, -1510, -1510, -1510, -1509, -1509,
2587                    -1508, -1508, -1508, -1507, -1507, -1506, -1506, -1506, -1505, -1505, -1504, -1504,
2588                    -1503, -1503, -1502, -1502, -1501, -1501, -1500, -1500, -1499, -1499, -1498, -1498,
2589                    -1497, -1497, -1496, -1496, -1495, -1495, -1494, -1493, -1493, -1492, -1492, -1491,
2590                    -1490, -1490, -1489, -1488, -1488, -1487, -1486, -1486, -1485, -1484, -1483, -1483,
2591                    -1482, -1481, -1480, -1479, -1478, -1478, -1477, -1476, -1475, -1474, -1473, -1472,
2592                    -1471, -1470, -1469, -1468, -1467, -1466, -1465, -1464, -1463, -1461, -1460, -1459,
2593                    -1458, -1456, -1455, -1454, -1452, -1451, -1449, -1448, -1446, -1445, -1443, -1442,
2594                    -1440, -1438, -1436, -1435, -1433, -1431, -1429, -1427, -1425, -1423, -1420, -1418,
2595                    -1416, -1413, -1411, -1408, -1406, -1403, -1400, -1397, -1394, -1391, -1388, -1384,
2596                    -1381, -1377, -1373, -1369, -1365, -1361, -1357, -1352, -1347, -1342, -1337, -1332,
2597                    -1326, -1320, -1313, -1307, -1300, -1292, -1285, -1277, -1268, -1259, -1249, -1239,
2598                    -1228, -1216, -1204, -1190, -1176, -1161, -1144, -1126, -1107, -1086, -1064, -1039,
2599                    -1012, -983, -951, -915, -876, -833, -785, -733, -675, -611, -540, -464, -381, -291,
2600                    -197, -100, 0, 100, 197, 291, 381, 464, 540, 611, 675, 733, 785, 833, 876, 915,
2601                    951, 983, 1012, 1039, 1064, 1086, 1107, 1126, 1144, 1161, 1176, 1190, 1204, 1216,
2602                    1228, 1239, 1249, 1259, 1268, 1277, 1285, 1292, 1300, 1307, 1313, 1320, 1326, 1332,
2603                    1337, 1342, 1347, 1352, 1357, 1361, 1365, 1369, 1373, 1377, 1381, 1384, 1388, 1391,
2604                    1394, 1397, 1400, 1403, 1406, 1408, 1411, 1413, 1416, 1418, 1420, 1423, 1425, 1427,
2605                    1429, 1431, 1433, 1435, 1436, 1438, 1440, 1442, 1443, 1445, 1446, 1448, 1449, 1451,
2606                    1452, 1454, 1455, 1456, 1458, 1459, 1460, 1461, 1463, 1464, 1465, 1466, 1467, 1468,
2607                    1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1478, 1479, 1480, 1481,
2608                    1482, 1483, 1483, 1484, 1485, 1486, 1486, 1487, 1488, 1488, 1489, 1490, 1490, 1491,
2609                    1492, 1492, 1493, 1493, 1494, 1495, 1495, 1496, 1496, 1497, 1497, 1498, 1498, 1499,
2610                    1499, 1500, 1500, 1501, 1501, 1502, 1502, 1503, 1503, 1504, 1504, 1505, 1505, 1506,
2611                    1506, 1506, 1507, 1507, 1508, 1508, 1508, 1509, 1509, 1510, 1510, 1510, 1511, 1511,
2612                    1511, 1512, 1512, 1512, 1513, 1513, 1513, 1514, 1514, 1514, 1515, 1515, 1515, 1516,
2613                    1516, 1516, 1517, 1517, 1517, 1517, 1518, 1518, 1518, 1518, 1519, 1519, 1519, 1520,
2614                    1520, 1520, 1520, 1521, 1521, 1521, 1521, 1522, 1522, 1522, 1522, 1523, 1523, 1523,
2615                    1523, 1523, 1524, 1524, 1524, 1524, 1525, 1525, 1525, 1525, 1525, 1526, 1526, 1526,
2616                    1526, 1526, 1527, 1527, 1527, 1527, 1527, 1528, 1528, 1528, 1528, 1528, 1528, 1529,
2617                    1529, 1529, 1529, 1529, 1529, 1530, 1530, 1530, 1530, 1530, 1530, 1531, 1531, 1531,
2618                    1531, 1531, 1531, 1532, 1532, 1532, 1532, 1532, 1532, 1533, 1533, 1533, 1533, 1533,
2619                    1533, 1533, 1534, 1534, 1534, 1534, 1534, 1534, 1534, 1534, 1535, 1535, 1535, 1535,
2620                    1535, 1535, 1535, 1535, 1536, 1536, 1536, 1536, 1536, 1536, 1536, 1536, 1537, 1537,
2621                    1537, 1537, 1537, 1537, 1537, 1537, 1537, 1538, 1538, 1538, 1538, 1538, 1538, 1538,
2622                    1538, 1538, 1539, 1539, 1539, 1539, 1539, 1539, 1539, 1539, 1539, 1539, 1540, 1540,
2623                    1540, 1540, 1540, 1540, 1540, 1540, 1540, 1540, 1541, 1541, 1541, 1541, 1541, 1541,
2624                    1541, 1541, 1541, 1541, 1541, 1541, 1542, 1542, 1542, 1542, 1542, 1542, 1542, 1542,
2625                    1542, 1542, 1542, 1542, 1543, 1543, 1543, 1543, 1543, 1543, 1543, 1543, 1543, 1543,
2626                    1543, 1543, 1543, 1544, 1544, 1544, 1544, 1544, 1544, 1544, 1544, 1544, 1544, 1544,
2627                    1544, 1544, 1544, 1545, 1545, 1545, 1545, 1545, 1545, 1545, 1545, 1545, 1545, 1545,
2628                    1545, 1545, 1545, 1545, 1546, 1546, 1546, 1546, 1546, 1546, 1546, 1546, 1546, 1546,
2629                    1546, 1546, 1546, 1546, 1546, 1546, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547,
2630                    1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1548, 1548, 1548, 1548,
2631                    1548, 1548, 1548, 1548, 1548, 1548, 1548, 1548, 1548, 1548, 1548, 1548, 1548, 1548,
2632                    1548, 1549, 1549, 1549, 1549, 1549, 1549, 1549, 1549, 1549, 1549, 1549, 1549, 1549,
2633                    1549, 1549, 1549, 1549, 1549, 1549, 1549, 1549, 1550, 1550, 1550, 1550, 1550, 1550,
2634                    1550, 1550, 1550, 1550, 1550, 1550, 1550, 1550, 1550, 1550, 1550, 1550, 1550, 1550,
2635                    1550, 1550, 1550, 1551, 1551, 1551, 1551, 1551, 1551, 1551, 1551, 1551, 1551, 1551,
2636                    1551, 1551, 1551, 1551, 1551, 1551, 1551, 1551, 1551, 1551, 1551, 1551, 1551, 1551,
2637                    1551, 1552, 1552, 1552, 1552, 1552, 1552, 1552, 1552, 1552, 1552, 1552, 1552, 1552,
2638                    1552, 1552, 1552, 1552, 1552, 1552, 1552, 1552, 1552, 1552, 1552, 1552, 1552, 1552,
2639                    1552, 1553, 1553, 1553, 1553, 1553, 1553, 1553, 1553, 1553, 1553, 1553, 1553, 1553,
2640                    1553, 1553, 1553, 1553, 1553, 1553, 1553, 1553, 1553, 1553, 1553, 1553, 1553, 1553,
2641                    1553, 1553, 1553, 1553, 1553, 1554, 1554, 1554, 1554, 1554, 1554, 1554, 1554, 1554,
2642                    1554, 1554, 1554, 1554, 1554, 1554, 1554, 1554, 1554, 1554, 1554, 1554, 1554, 1554,
2643                    1554, 1554, 1554, 1554, 1554, 1554, 1554, 1554, 1554, 1554, 1554, 1554, 1555, 1555,
2644                    1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555,
2645                    1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555,
2646                    1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555, 1555, 1556, 1556, 1556, 1556,
2647                    1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556,
2648                    1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556,
2649                    1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556, 1556,
2650                    1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557,
2651                    1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557,
2652                    1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557,
2653                    1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1557, 1558, 1558, 1558,
2654                    1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558,
2655                    1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558,
2656                    1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558,
2657                    1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558, 1558,
2658                    1558, 1558, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559,
2659                    1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559,
2660                    1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559,
2661                    1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559,
2662                    1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1559,
2663                    1559, 1559, 1559, 1559, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560,
2664                    1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560,
2665                    1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560,
2666                    1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560,
2667                    1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560,
2668                    1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560, 1560,
2669                    1560, 1560, 1560, 1560, 1560, 1560, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561,
2670                    1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561,
2671                    1561, 1561, 1561, 1561, 1561, 1561, 1561,
2672                ]
2673            },
2674            arctangent_ones: {
2675                [
2676                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2677                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2678                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2679                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2680                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2681                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2682                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2683                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2684                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
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2687                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2688                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2689                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2690                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2691                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2692                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2693                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2694                    -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570, -1570,
2695                    -1570, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2696                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2697                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2698                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2699                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2700                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2701                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2702                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2703                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2704                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2705                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2706                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2707                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2708                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2709                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2710                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2711                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2712                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2713                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2714                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2715                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2716                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2717                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2718                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2719                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2720                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2721                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2722                    -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569, -1569,
2723                    -1569, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568,
2724                    -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568,
2725                    -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568,
2726                    -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568,
2727                    -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568,
2728                    -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568,
2729                    -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568,
2730                    -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568,
2731                    -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568,
2732                    -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568,
2733                    -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568, -1568,
2734                    -1568, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567,
2735                    -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567,
2736                    -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567,
2737                    -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567,
2738                    -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567,
2739                    -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567, -1567,
2740                    -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566,
2741                    -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566,
2742                    -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566,
2743                    -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1566, -1565, -1565, -1565, -1565,
2744                    -1565, -1565, -1565, -1565, -1565, -1565, -1565, -1565, -1565, -1565, -1565, -1565,
2745                    -1565, -1565, -1565, -1565, -1565, -1565, -1565, -1565, -1565, -1565, -1565, -1565,
2746                    -1565, -1565, -1564, -1564, -1564, -1564, -1564, -1564, -1564, -1564, -1564, -1564,
2747                    -1564, -1564, -1564, -1564, -1564, -1564, -1564, -1564, -1564, -1564, -1564, -1563,
2748                    -1563, -1563, -1563, -1563, -1563, -1563, -1563, -1563, -1563, -1563, -1563, -1563,
2749                    -1563, -1563, -1563, -1563, -1562, -1562, -1562, -1562, -1562, -1562, -1562, -1562,
2750                    -1562, -1562, -1562, -1562, -1562, -1561, -1561, -1561, -1561, -1561, -1561, -1561,
2751                    -1561, -1561, -1561, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560, -1560,
2752                    -1559, -1559, -1559, -1559, -1559, -1559, -1559, -1558, -1558, -1558, -1558, -1558,
2753                    -1558, -1557, -1557, -1557, -1557, -1557, -1557, -1556, -1556, -1556, -1556, -1555,
2754                    -1555, -1555, -1555, -1554, -1554, -1554, -1554, -1553, -1553, -1553, -1552, -1552,
2755                    -1552, -1551, -1551, -1550, -1550, -1550, -1549, -1549, -1548, -1548, -1547, -1546,
2756                    -1546, -1545, -1544, -1544, -1543, -1542, -1541, -1541, -1540, -1539, -1537, -1536,
2757                    -1535, -1534, -1532, -1531, -1529, -1527, -1525, -1523, -1521, -1518, -1515, -1512,
2758                    -1508, -1504, -1499, -1494, -1488, -1480, -1471, -1460, -1446, -1429, -1406, -1373,
2759                    -1326, -1249, -1107, -785, 0, 785, 1107, 1249, 1326, 1373, 1406, 1429, 1446, 1460,
2760                    1471, 1480, 1488, 1494, 1499, 1504, 1508, 1512, 1515, 1518, 1521, 1523, 1525, 1527,
2761                    1529, 1531, 1532, 1534, 1535, 1536, 1537, 1539, 1540, 1541, 1541, 1542, 1543, 1544,
2762                    1544, 1545, 1546, 1546, 1547, 1548, 1548, 1549, 1549, 1550, 1550, 1550, 1551, 1551,
2763                    1552, 1552, 1552, 1553, 1553, 1553, 1554, 1554, 1554, 1554, 1555, 1555, 1555, 1555,
2764                    1556, 1556, 1556, 1556, 1557, 1557, 1557, 1557, 1557, 1557, 1558, 1558, 1558, 1558,
2765                    1558, 1558, 1559, 1559, 1559, 1559, 1559, 1559, 1559, 1560, 1560, 1560, 1560, 1560,
2766                    1560, 1560, 1560, 1560, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561, 1561,
2767                    1562, 1562, 1562, 1562, 1562, 1562, 1562, 1562, 1562, 1562, 1562, 1562, 1562, 1563,
2768                    1563, 1563, 1563, 1563, 1563, 1563, 1563, 1563, 1563, 1563, 1563, 1563, 1563, 1563,
2769                    1563, 1563, 1564, 1564, 1564, 1564, 1564, 1564, 1564, 1564, 1564, 1564, 1564, 1564,
2770                    1564, 1564, 1564, 1564, 1564, 1564, 1564, 1564, 1564, 1565, 1565, 1565, 1565, 1565,
2771                    1565, 1565, 1565, 1565, 1565, 1565, 1565, 1565, 1565, 1565, 1565, 1565, 1565, 1565,
2772                    1565, 1565, 1565, 1565, 1565, 1565, 1565, 1565, 1565, 1565, 1565, 1566, 1566, 1566,
2773                    1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566,
2774                    1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566,
2775                    1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1566, 1567,
2776                    1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567,
2777                    1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567,
2778                    1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567,
2779                    1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567,
2780                    1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567, 1567,
2781                    1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568,
2782                    1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568,
2783                    1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568,
2784                    1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568,
2785                    1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568,
2786                    1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568,
2787                    1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568,
2788                    1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568,
2789                    1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568, 1568,
2790                    1568, 1568, 1568, 1568, 1568, 1568, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2791                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2792                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2793                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2794                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2795                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2796                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2797                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2798                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2799                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2800                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2801                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2802                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2803                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2804                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2805                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2806                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2807                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2808                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2809                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2810                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2811                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2812                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2813                    1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569, 1569,
2814                    1569, 1569, 1569, 1569, 1569, 1569, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2815                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2816                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2817                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2818                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2819                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2820                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2821                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2822                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2823                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2824                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2825                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2826                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2827                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2828                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2829                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2830                    1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570, 1570,
2831                ]
2832            },
2833        };
2834    }
2835}
deterministic_trigonometry/initialize.rs

deterministic_trigonometry/
initialize.rs
