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1.1.1.2 ! root 1: /* ! 2: Copyright (C) 1997-2001 Id Software, Inc. ! 3: ! 4: This program is free software; you can redistribute it and/or ! 5: modify it under the terms of the GNU General Public License ! 6: as published by the Free Software Foundation; either version 2 ! 7: of the License, or (at your option) any later version. ! 8: ! 9: This program is distributed in the hope that it will be useful, ! 10: but WITHOUT ANY WARRANTY; without even the implied warranty of ! 11: MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. ! 12: ! 13: See the GNU General Public License for more details. ! 14: ! 15: You should have received a copy of the GNU General Public License ! 16: along with this program; if not, write to the Free Software ! 17: Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. ! 18: ! 19: */ 1.1 root 20: // table of quotients and remainders for [-15...16] / [-15...16] 21: 22: // numerator = -15 23: {1, 0}, 24: {1, -1}, 25: {1, -2}, 26: {1, -3}, 27: {1, -4}, 28: {1, -5}, 29: {1, -6}, 30: {1, -7}, 31: {2, -1}, 32: {2, -3}, 33: {3, 0}, 34: {3, -3}, 35: {5, 0}, 36: {7, -1}, 37: {15, 0}, 38: {0, 0}, 39: {-15, 0}, 40: {-8, 1}, 41: {-5, 0}, 42: {-4, 1}, 43: {-3, 0}, 44: {-3, 3}, 45: {-3, 6}, 46: {-2, 1}, 47: {-2, 3}, 48: {-2, 5}, 49: {-2, 7}, 50: {-2, 9}, 51: {-2, 11}, 52: {-2, 13}, 53: {-1, 0}, 54: {-1, 1}, 55: // numerator = -14 56: {0, -14}, 57: {1, 0}, 58: {1, -1}, 59: {1, -2}, 60: {1, -3}, 61: {1, -4}, 62: {1, -5}, 63: {1, -6}, 64: {2, 0}, 65: {2, -2}, 66: {2, -4}, 67: {3, -2}, 68: {4, -2}, 69: {7, 0}, 70: {14, 0}, 71: {0, 0}, 72: {-14, 0}, 73: {-7, 0}, 74: {-5, 1}, 75: {-4, 2}, 76: {-3, 1}, 77: {-3, 4}, 78: {-2, 0}, 79: {-2, 2}, 80: {-2, 4}, 81: {-2, 6}, 82: {-2, 8}, 83: {-2, 10}, 84: {-2, 12}, 85: {-1, 0}, 86: {-1, 1}, 87: {-1, 2}, 88: // numerator = -13 89: {0, -13}, 90: {0, -13}, 91: {1, 0}, 92: {1, -1}, 93: {1, -2}, 94: {1, -3}, 95: {1, -4}, 96: {1, -5}, 97: {1, -6}, 98: {2, -1}, 99: {2, -3}, 100: {3, -1}, 101: {4, -1}, 102: {6, -1}, 103: {13, 0}, 104: {0, 0}, 105: {-13, 0}, 106: {-7, 1}, 107: {-5, 2}, 108: {-4, 3}, 109: {-3, 2}, 110: {-3, 5}, 111: {-2, 1}, 112: {-2, 3}, 113: {-2, 5}, 114: {-2, 7}, 115: {-2, 9}, 116: {-2, 11}, 117: {-1, 0}, 118: {-1, 1}, 119: {-1, 2}, 120: {-1, 3}, 121: // numerator = -12 122: {0, -12}, 123: {0, -12}, 124: {0, -12}, 125: {1, 0}, 126: {1, -1}, 127: {1, -2}, 128: {1, -3}, 129: {1, -4}, 130: {1, -5}, 131: {2, 0}, 132: {2, -2}, 133: {3, 0}, 134: {4, 0}, 135: {6, 0}, 136: {12, 0}, 137: {0, 0}, 138: {-12, 0}, 139: {-6, 0}, 140: {-4, 0}, 141: {-3, 0}, 142: {-3, 3}, 143: {-2, 0}, 144: {-2, 2}, 145: {-2, 4}, 146: {-2, 6}, 147: {-2, 8}, 148: {-2, 10}, 149: {-1, 0}, 150: {-1, 1}, 151: {-1, 2}, 152: {-1, 3}, 153: {-1, 4}, 154: // numerator = -11 155: {0, -11}, 156: {0, -11}, 157: {0, -11}, 158: {0, -11}, 159: {1, 0}, 160: {1, -1}, 161: {1, -2}, 162: {1, -3}, 163: {1, -4}, 164: {1, -5}, 165: {2, -1}, 166: {2, -3}, 167: {3, -2}, 168: {5, -1}, 169: {11, 0}, 170: {0, 0}, 171: {-11, 0}, 172: {-6, 1}, 173: {-4, 1}, 174: {-3, 1}, 175: {-3, 4}, 176: {-2, 1}, 177: {-2, 3}, 178: {-2, 5}, 179: {-2, 7}, 180: {-2, 9}, 181: {-1, 0}, 182: {-1, 1}, 183: {-1, 2}, 184: {-1, 3}, 185: {-1, 4}, 186: {-1, 5}, 187: // numerator = -10 188: {0, -10}, 189: {0, -10}, 190: {0, -10}, 191: {0, -10}, 192: {0, -10}, 193: {1, 0}, 194: {1, -1}, 195: {1, -2}, 196: {1, -3}, 197: {1, -4}, 198: {2, 0}, 199: {2, -2}, 200: {3, -1}, 201: {5, 0}, 202: {10, 0}, 203: {0, 0}, 204: {-10, 0}, 205: {-5, 0}, 206: {-4, 2}, 207: {-3, 2}, 208: {-2, 0}, 209: {-2, 2}, 210: {-2, 4}, 211: {-2, 6}, 212: {-2, 8}, 213: {-1, 0}, 214: {-1, 1}, 215: {-1, 2}, 216: {-1, 3}, 217: {-1, 4}, 218: {-1, 5}, 219: {-1, 6}, 220: // numerator = -9 221: {0, -9}, 222: {0, -9}, 223: {0, -9}, 224: {0, -9}, 225: {0, -9}, 226: {0, -9}, 227: {1, 0}, 228: {1, -1}, 229: {1, -2}, 230: {1, -3}, 231: {1, -4}, 232: {2, -1}, 233: {3, 0}, 234: {4, -1}, 235: {9, 0}, 236: {0, 0}, 237: {-9, 0}, 238: {-5, 1}, 239: {-3, 0}, 240: {-3, 3}, 241: {-2, 1}, 242: {-2, 3}, 243: {-2, 5}, 244: {-2, 7}, 245: {-1, 0}, 246: {-1, 1}, 247: {-1, 2}, 248: {-1, 3}, 249: {-1, 4}, 250: {-1, 5}, 251: {-1, 6}, 252: {-1, 7}, 253: // numerator = -8 254: {0, -8}, 255: {0, -8}, 256: {0, -8}, 257: {0, -8}, 258: {0, -8}, 259: {0, -8}, 260: {0, -8}, 261: {1, 0}, 262: {1, -1}, 263: {1, -2}, 264: {1, -3}, 265: {2, 0}, 266: {2, -2}, 267: {4, 0}, 268: {8, 0}, 269: {0, 0}, 270: {-8, 0}, 271: {-4, 0}, 272: {-3, 1}, 273: {-2, 0}, 274: {-2, 2}, 275: {-2, 4}, 276: {-2, 6}, 277: {-1, 0}, 278: {-1, 1}, 279: {-1, 2}, 280: {-1, 3}, 281: {-1, 4}, 282: {-1, 5}, 283: {-1, 6}, 284: {-1, 7}, 285: {-1, 8}, 286: // numerator = -7 287: {0, -7}, 288: {0, -7}, 289: {0, -7}, 290: {0, -7}, 291: {0, -7}, 292: {0, -7}, 293: {0, -7}, 294: {0, -7}, 295: {1, 0}, 296: {1, -1}, 297: {1, -2}, 298: {1, -3}, 299: {2, -1}, 300: {3, -1}, 301: {7, 0}, 302: {0, 0}, 303: {-7, 0}, 304: {-4, 1}, 305: {-3, 2}, 306: {-2, 1}, 307: {-2, 3}, 308: {-2, 5}, 309: {-1, 0}, 310: {-1, 1}, 311: {-1, 2}, 312: {-1, 3}, 313: {-1, 4}, 314: {-1, 5}, 315: {-1, 6}, 316: {-1, 7}, 317: {-1, 8}, 318: {-1, 9}, 319: // numerator = -6 320: {0, -6}, 321: {0, -6}, 322: {0, -6}, 323: {0, -6}, 324: {0, -6}, 325: {0, -6}, 326: {0, -6}, 327: {0, -6}, 328: {0, -6}, 329: {1, 0}, 330: {1, -1}, 331: {1, -2}, 332: {2, 0}, 333: {3, 0}, 334: {6, 0}, 335: {0, 0}, 336: {-6, 0}, 337: {-3, 0}, 338: {-2, 0}, 339: {-2, 2}, 340: {-2, 4}, 341: {-1, 0}, 342: {-1, 1}, 343: {-1, 2}, 344: {-1, 3}, 345: {-1, 4}, 346: {-1, 5}, 347: {-1, 6}, 348: {-1, 7}, 349: {-1, 8}, 350: {-1, 9}, 351: {-1, 10}, 352: // numerator = -5 353: {0, -5}, 354: {0, -5}, 355: {0, -5}, 356: {0, -5}, 357: {0, -5}, 358: {0, -5}, 359: {0, -5}, 360: {0, -5}, 361: {0, -5}, 362: {0, -5}, 363: {1, 0}, 364: {1, -1}, 365: {1, -2}, 366: {2, -1}, 367: {5, 0}, 368: {0, 0}, 369: {-5, 0}, 370: {-3, 1}, 371: {-2, 1}, 372: {-2, 3}, 373: {-1, 0}, 374: {-1, 1}, 375: {-1, 2}, 376: {-1, 3}, 377: {-1, 4}, 378: {-1, 5}, 379: {-1, 6}, 380: {-1, 7}, 381: {-1, 8}, 382: {-1, 9}, 383: {-1, 10}, 384: {-1, 11}, 385: // numerator = -4 386: {0, -4}, 387: {0, -4}, 388: {0, -4}, 389: {0, -4}, 390: {0, -4}, 391: {0, -4}, 392: {0, -4}, 393: {0, -4}, 394: {0, -4}, 395: {0, -4}, 396: {0, -4}, 397: {1, 0}, 398: {1, -1}, 399: {2, 0}, 400: {4, 0}, 401: {0, 0}, 402: {-4, 0}, 403: {-2, 0}, 404: {-2, 2}, 405: {-1, 0}, 406: {-1, 1}, 407: {-1, 2}, 408: {-1, 3}, 409: {-1, 4}, 410: {-1, 5}, 411: {-1, 6}, 412: {-1, 7}, 413: {-1, 8}, 414: {-1, 9}, 415: {-1, 10}, 416: {-1, 11}, 417: {-1, 12}, 418: // numerator = -3 419: {0, -3}, 420: {0, -3}, 421: {0, -3}, 422: {0, -3}, 423: {0, -3}, 424: {0, -3}, 425: {0, -3}, 426: {0, -3}, 427: {0, -3}, 428: {0, -3}, 429: {0, -3}, 430: {0, -3}, 431: {1, 0}, 432: {1, -1}, 433: {3, 0}, 434: {0, 0}, 435: {-3, 0}, 436: {-2, 1}, 437: {-1, 0}, 438: {-1, 1}, 439: {-1, 2}, 440: {-1, 3}, 441: {-1, 4}, 442: {-1, 5}, 443: {-1, 6}, 444: {-1, 7}, 445: {-1, 8}, 446: {-1, 9}, 447: {-1, 10}, 448: {-1, 11}, 449: {-1, 12}, 450: {-1, 13}, 451: // numerator = -2 452: {0, -2}, 453: {0, -2}, 454: {0, -2}, 455: {0, -2}, 456: {0, -2}, 457: {0, -2}, 458: {0, -2}, 459: {0, -2}, 460: {0, -2}, 461: {0, -2}, 462: {0, -2}, 463: {0, -2}, 464: {0, -2}, 465: {1, 0}, 466: {2, 0}, 467: {0, 0}, 468: {-2, 0}, 469: {-1, 0}, 470: {-1, 1}, 471: {-1, 2}, 472: {-1, 3}, 473: {-1, 4}, 474: {-1, 5}, 475: {-1, 6}, 476: {-1, 7}, 477: {-1, 8}, 478: {-1, 9}, 479: {-1, 10}, 480: {-1, 11}, 481: {-1, 12}, 482: {-1, 13}, 483: {-1, 14}, 484: // numerator = -1 485: {0, -1}, 486: {0, -1}, 487: {0, -1}, 488: {0, -1}, 489: {0, -1}, 490: {0, -1}, 491: {0, -1}, 492: {0, -1}, 493: {0, -1}, 494: {0, -1}, 495: {0, -1}, 496: {0, -1}, 497: {0, -1}, 498: {0, -1}, 499: {1, 0}, 500: {0, 0}, 501: {-1, 0}, 502: {-1, 1}, 503: {-1, 2}, 504: {-1, 3}, 505: {-1, 4}, 506: {-1, 5}, 507: {-1, 6}, 508: {-1, 7}, 509: {-1, 8}, 510: {-1, 9}, 511: {-1, 10}, 512: {-1, 11}, 513: {-1, 12}, 514: {-1, 13}, 515: {-1, 14}, 516: {-1, 15}, 517: // numerator = 0 518: {0, 0}, 519: {0, 0}, 520: {0, 0}, 521: {0, 0}, 522: {0, 0}, 523: {0, 0}, 524: {0, 0}, 525: {0, 0}, 526: {0, 0}, 527: {0, 0}, 528: {0, 0}, 529: {0, 0}, 530: {0, 0}, 531: {0, 0}, 532: {0, 0}, 533: {0, 0}, 534: {0, 0}, 535: {0, 0}, 536: {0, 0}, 537: {0, 0}, 538: {0, 0}, 539: {0, 0}, 540: {0, 0}, 541: {0, 0}, 542: {0, 0}, 543: {0, 0}, 544: {0, 0}, 545: {0, 0}, 546: {0, 0}, 547: {0, 0}, 548: {0, 0}, 549: {0, 0}, 550: // numerator = 1 551: {-1, -14}, 552: {-1, -13}, 553: {-1, -12}, 554: {-1, -11}, 555: {-1, -10}, 556: {-1, -9}, 557: {-1, -8}, 558: {-1, -7}, 559: {-1, -6}, 560: {-1, -5}, 561: {-1, -4}, 562: {-1, -3}, 563: {-1, -2}, 564: {-1, -1}, 565: {-1, 0}, 566: {0, 0}, 567: {1, 0}, 568: {0, 1}, 569: {0, 1}, 570: {0, 1}, 571: {0, 1}, 572: {0, 1}, 573: {0, 1}, 574: {0, 1}, 575: {0, 1}, 576: {0, 1}, 577: {0, 1}, 578: {0, 1}, 579: {0, 1}, 580: {0, 1}, 581: {0, 1}, 582: {0, 1}, 583: // numerator = 2 584: {-1, -13}, 585: {-1, -12}, 586: {-1, -11}, 587: {-1, -10}, 588: {-1, -9}, 589: {-1, -8}, 590: {-1, -7}, 591: {-1, -6}, 592: {-1, -5}, 593: {-1, -4}, 594: {-1, -3}, 595: {-1, -2}, 596: {-1, -1}, 597: {-1, 0}, 598: {-2, 0}, 599: {0, 0}, 600: {2, 0}, 601: {1, 0}, 602: {0, 2}, 603: {0, 2}, 604: {0, 2}, 605: {0, 2}, 606: {0, 2}, 607: {0, 2}, 608: {0, 2}, 609: {0, 2}, 610: {0, 2}, 611: {0, 2}, 612: {0, 2}, 613: {0, 2}, 614: {0, 2}, 615: {0, 2}, 616: // numerator = 3 617: {-1, -12}, 618: {-1, -11}, 619: {-1, -10}, 620: {-1, -9}, 621: {-1, -8}, 622: {-1, -7}, 623: {-1, -6}, 624: {-1, -5}, 625: {-1, -4}, 626: {-1, -3}, 627: {-1, -2}, 628: {-1, -1}, 629: {-1, 0}, 630: {-2, -1}, 631: {-3, 0}, 632: {0, 0}, 633: {3, 0}, 634: {1, 1}, 635: {1, 0}, 636: {0, 3}, 637: {0, 3}, 638: {0, 3}, 639: {0, 3}, 640: {0, 3}, 641: {0, 3}, 642: {0, 3}, 643: {0, 3}, 644: {0, 3}, 645: {0, 3}, 646: {0, 3}, 647: {0, 3}, 648: {0, 3}, 649: // numerator = 4 650: {-1, -11}, 651: {-1, -10}, 652: {-1, -9}, 653: {-1, -8}, 654: {-1, -7}, 655: {-1, -6}, 656: {-1, -5}, 657: {-1, -4}, 658: {-1, -3}, 659: {-1, -2}, 660: {-1, -1}, 661: {-1, 0}, 662: {-2, -2}, 663: {-2, 0}, 664: {-4, 0}, 665: {0, 0}, 666: {4, 0}, 667: {2, 0}, 668: {1, 1}, 669: {1, 0}, 670: {0, 4}, 671: {0, 4}, 672: {0, 4}, 673: {0, 4}, 674: {0, 4}, 675: {0, 4}, 676: {0, 4}, 677: {0, 4}, 678: {0, 4}, 679: {0, 4}, 680: {0, 4}, 681: {0, 4}, 682: // numerator = 5 683: {-1, -10}, 684: {-1, -9}, 685: {-1, -8}, 686: {-1, -7}, 687: {-1, -6}, 688: {-1, -5}, 689: {-1, -4}, 690: {-1, -3}, 691: {-1, -2}, 692: {-1, -1}, 693: {-1, 0}, 694: {-2, -3}, 695: {-2, -1}, 696: {-3, -1}, 697: {-5, 0}, 698: {0, 0}, 699: {5, 0}, 700: {2, 1}, 701: {1, 2}, 702: {1, 1}, 703: {1, 0}, 704: {0, 5}, 705: {0, 5}, 706: {0, 5}, 707: {0, 5}, 708: {0, 5}, 709: {0, 5}, 710: {0, 5}, 711: {0, 5}, 712: {0, 5}, 713: {0, 5}, 714: {0, 5}, 715: // numerator = 6 716: {-1, -9}, 717: {-1, -8}, 718: {-1, -7}, 719: {-1, -6}, 720: {-1, -5}, 721: {-1, -4}, 722: {-1, -3}, 723: {-1, -2}, 724: {-1, -1}, 725: {-1, 0}, 726: {-2, -4}, 727: {-2, -2}, 728: {-2, 0}, 729: {-3, 0}, 730: {-6, 0}, 731: {0, 0}, 732: {6, 0}, 733: {3, 0}, 734: {2, 0}, 735: {1, 2}, 736: {1, 1}, 737: {1, 0}, 738: {0, 6}, 739: {0, 6}, 740: {0, 6}, 741: {0, 6}, 742: {0, 6}, 743: {0, 6}, 744: {0, 6}, 745: {0, 6}, 746: {0, 6}, 747: {0, 6}, 748: // numerator = 7 749: {-1, -8}, 750: {-1, -7}, 751: {-1, -6}, 752: {-1, -5}, 753: {-1, -4}, 754: {-1, -3}, 755: {-1, -2}, 756: {-1, -1}, 757: {-1, 0}, 758: {-2, -5}, 759: {-2, -3}, 760: {-2, -1}, 761: {-3, -2}, 762: {-4, -1}, 763: {-7, 0}, 764: {0, 0}, 765: {7, 0}, 766: {3, 1}, 767: {2, 1}, 768: {1, 3}, 769: {1, 2}, 770: {1, 1}, 771: {1, 0}, 772: {0, 7}, 773: {0, 7}, 774: {0, 7}, 775: {0, 7}, 776: {0, 7}, 777: {0, 7}, 778: {0, 7}, 779: {0, 7}, 780: {0, 7}, 781: // numerator = 8 782: {-1, -7}, 783: {-1, -6}, 784: {-1, -5}, 785: {-1, -4}, 786: {-1, -3}, 787: {-1, -2}, 788: {-1, -1}, 789: {-1, 0}, 790: {-2, -6}, 791: {-2, -4}, 792: {-2, -2}, 793: {-2, 0}, 794: {-3, -1}, 795: {-4, 0}, 796: {-8, 0}, 797: {0, 0}, 798: {8, 0}, 799: {4, 0}, 800: {2, 2}, 801: {2, 0}, 802: {1, 3}, 803: {1, 2}, 804: {1, 1}, 805: {1, 0}, 806: {0, 8}, 807: {0, 8}, 808: {0, 8}, 809: {0, 8}, 810: {0, 8}, 811: {0, 8}, 812: {0, 8}, 813: {0, 8}, 814: // numerator = 9 815: {-1, -6}, 816: {-1, -5}, 817: {-1, -4}, 818: {-1, -3}, 819: {-1, -2}, 820: {-1, -1}, 821: {-1, 0}, 822: {-2, -7}, 823: {-2, -5}, 824: {-2, -3}, 825: {-2, -1}, 826: {-3, -3}, 827: {-3, 0}, 828: {-5, -1}, 829: {-9, 0}, 830: {0, 0}, 831: {9, 0}, 832: {4, 1}, 833: {3, 0}, 834: {2, 1}, 835: {1, 4}, 836: {1, 3}, 837: {1, 2}, 838: {1, 1}, 839: {1, 0}, 840: {0, 9}, 841: {0, 9}, 842: {0, 9}, 843: {0, 9}, 844: {0, 9}, 845: {0, 9}, 846: {0, 9}, 847: // numerator = 10 848: {-1, -5}, 849: {-1, -4}, 850: {-1, -3}, 851: {-1, -2}, 852: {-1, -1}, 853: {-1, 0}, 854: {-2, -8}, 855: {-2, -6}, 856: {-2, -4}, 857: {-2, -2}, 858: {-2, 0}, 859: {-3, -2}, 860: {-4, -2}, 861: {-5, 0}, 862: {-10, 0}, 863: {0, 0}, 864: {10, 0}, 865: {5, 0}, 866: {3, 1}, 867: {2, 2}, 868: {2, 0}, 869: {1, 4}, 870: {1, 3}, 871: {1, 2}, 872: {1, 1}, 873: {1, 0}, 874: {0, 10}, 875: {0, 10}, 876: {0, 10}, 877: {0, 10}, 878: {0, 10}, 879: {0, 10}, 880: // numerator = 11 881: {-1, -4}, 882: {-1, -3}, 883: {-1, -2}, 884: {-1, -1}, 885: {-1, 0}, 886: {-2, -9}, 887: {-2, -7}, 888: {-2, -5}, 889: {-2, -3}, 890: {-2, -1}, 891: {-3, -4}, 892: {-3, -1}, 893: {-4, -1}, 894: {-6, -1}, 895: {-11, 0}, 896: {0, 0}, 897: {11, 0}, 898: {5, 1}, 899: {3, 2}, 900: {2, 3}, 901: {2, 1}, 902: {1, 5}, 903: {1, 4}, 904: {1, 3}, 905: {1, 2}, 906: {1, 1}, 907: {1, 0}, 908: {0, 11}, 909: {0, 11}, 910: {0, 11}, 911: {0, 11}, 912: {0, 11}, 913: // numerator = 12 914: {-1, -3}, 915: {-1, -2}, 916: {-1, -1}, 917: {-1, 0}, 918: {-2, -10}, 919: {-2, -8}, 920: {-2, -6}, 921: {-2, -4}, 922: {-2, -2}, 923: {-2, 0}, 924: {-3, -3}, 925: {-3, 0}, 926: {-4, 0}, 927: {-6, 0}, 928: {-12, 0}, 929: {0, 0}, 930: {12, 0}, 931: {6, 0}, 932: {4, 0}, 933: {3, 0}, 934: {2, 2}, 935: {2, 0}, 936: {1, 5}, 937: {1, 4}, 938: {1, 3}, 939: {1, 2}, 940: {1, 1}, 941: {1, 0}, 942: {0, 12}, 943: {0, 12}, 944: {0, 12}, 945: {0, 12}, 946: // numerator = 13 947: {-1, -2}, 948: {-1, -1}, 949: {-1, 0}, 950: {-2, -11}, 951: {-2, -9}, 952: {-2, -7}, 953: {-2, -5}, 954: {-2, -3}, 955: {-2, -1}, 956: {-3, -5}, 957: {-3, -2}, 958: {-4, -3}, 959: {-5, -2}, 960: {-7, -1}, 961: {-13, 0}, 962: {0, 0}, 963: {13, 0}, 964: {6, 1}, 965: {4, 1}, 966: {3, 1}, 967: {2, 3}, 968: {2, 1}, 969: {1, 6}, 970: {1, 5}, 971: {1, 4}, 972: {1, 3}, 973: {1, 2}, 974: {1, 1}, 975: {1, 0}, 976: {0, 13}, 977: {0, 13}, 978: {0, 13}, 979: // numerator = 14 980: {-1, -1}, 981: {-1, 0}, 982: {-2, -12}, 983: {-2, -10}, 984: {-2, -8}, 985: {-2, -6}, 986: {-2, -4}, 987: {-2, -2}, 988: {-2, 0}, 989: {-3, -4}, 990: {-3, -1}, 991: {-4, -2}, 992: {-5, -1}, 993: {-7, 0}, 994: {-14, 0}, 995: {0, 0}, 996: {14, 0}, 997: {7, 0}, 998: {4, 2}, 999: {3, 2}, 1000: {2, 4}, 1001: {2, 2}, 1002: {2, 0}, 1003: {1, 6}, 1004: {1, 5}, 1005: {1, 4}, 1006: {1, 3}, 1007: {1, 2}, 1008: {1, 1}, 1009: {1, 0}, 1010: {0, 14}, 1011: {0, 14}, 1012: // numerator = 15 1013: {-1, 0}, 1014: {-2, -13}, 1015: {-2, -11}, 1016: {-2, -9}, 1017: {-2, -7}, 1018: {-2, -5}, 1019: {-2, -3}, 1020: {-2, -1}, 1021: {-3, -6}, 1022: {-3, -3}, 1023: {-3, 0}, 1024: {-4, -1}, 1025: {-5, 0}, 1026: {-8, -1}, 1027: {-15, 0}, 1028: {0, 0}, 1029: {15, 0}, 1030: {7, 1}, 1031: {5, 0}, 1032: {3, 3}, 1033: {3, 0}, 1034: {2, 3}, 1035: {2, 1}, 1036: {1, 7}, 1037: {1, 6}, 1038: {1, 5}, 1039: {1, 4}, 1040: {1, 3}, 1041: {1, 2}, 1042: {1, 1}, 1043: {1, 0}, 1044: {0, 15}, 1045: // numerator = 16 1046: {-2, -14}, 1047: {-2, -12}, 1048: {-2, -10}, 1049: {-2, -8}, 1050: {-2, -6}, 1051: {-2, -4}, 1052: {-2, -2}, 1053: {-2, 0}, 1054: {-3, -5}, 1055: {-3, -2}, 1056: {-4, -4}, 1057: {-4, 0}, 1058: {-6, -2}, 1059: {-8, 0}, 1060: {-16, 0}, 1061: {0, 0}, 1062: {16, 0}, 1063: {8, 0}, 1064: {5, 1}, 1065: {4, 0}, 1066: {3, 1}, 1067: {2, 4}, 1068: {2, 2}, 1069: {2, 0}, 1070: {1, 7}, 1071: {1, 6}, 1072: {1, 5}, 1073: {1, 4}, 1074: {1, 3}, 1075: {1, 2}, 1076: {1, 1}, 1077: {1, 0},
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