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1.1 ! root 1: /* ! 2: Copyright (C) 1999, 2000 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: This program is distributed in the hope that it will be useful, ! 9: but WITHOUT ANY WARRANTY; without even the implied warranty of ! 10: MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the ! 11: GNU General Public License for more details. ! 12: You should have received a copy of the GNU General Public License ! 13: along with this program; if not, write to the Free Software ! 14: Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. ! 15: */ ! 16: ! 17: // table of quotients and remainders for [-15...16] / [-15...16] ! 18: ! 19: // numerator = -15 ! 20: {1, 0}, ! 21: {1, -1}, ! 22: {1, -2}, ! 23: {1, -3}, ! 24: {1, -4}, ! 25: {1, -5}, ! 26: {1, -6}, ! 27: {1, -7}, ! 28: {2, -1}, ! 29: {2, -3}, ! 30: {3, 0}, ! 31: {3, -3}, ! 32: {5, 0}, ! 33: {7, -1}, ! 34: {15, 0}, ! 35: {0, 0}, ! 36: {-15, 0}, ! 37: {-8, 1}, ! 38: {-5, 0}, ! 39: {-4, 1}, ! 40: {-3, 0}, ! 41: {-3, 3}, ! 42: {-3, 6}, ! 43: {-2, 1}, ! 44: {-2, 3}, ! 45: {-2, 5}, ! 46: {-2, 7}, ! 47: {-2, 9}, ! 48: {-2, 11}, ! 49: {-2, 13}, ! 50: {-1, 0}, ! 51: {-1, 1}, ! 52: // numerator = -14 ! 53: {0, -14}, ! 54: {1, 0}, ! 55: {1, -1}, ! 56: {1, -2}, ! 57: {1, -3}, ! 58: {1, -4}, ! 59: {1, -5}, ! 60: {1, -6}, ! 61: {2, 0}, ! 62: {2, -2}, ! 63: {2, -4}, ! 64: {3, -2}, ! 65: {4, -2}, ! 66: {7, 0}, ! 67: {14, 0}, ! 68: {0, 0}, ! 69: {-14, 0}, ! 70: {-7, 0}, ! 71: {-5, 1}, ! 72: {-4, 2}, ! 73: {-3, 1}, ! 74: {-3, 4}, ! 75: {-2, 0}, ! 76: {-2, 2}, ! 77: {-2, 4}, ! 78: {-2, 6}, ! 79: {-2, 8}, ! 80: {-2, 10}, ! 81: {-2, 12}, ! 82: {-1, 0}, ! 83: {-1, 1}, ! 84: {-1, 2}, ! 85: // numerator = -13 ! 86: {0, -13}, ! 87: {0, -13}, ! 88: {1, 0}, ! 89: {1, -1}, ! 90: {1, -2}, ! 91: {1, -3}, ! 92: {1, -4}, ! 93: {1, -5}, ! 94: {1, -6}, ! 95: {2, -1}, ! 96: {2, -3}, ! 97: {3, -1}, ! 98: {4, -1}, ! 99: {6, -1}, ! 100: {13, 0}, ! 101: {0, 0}, ! 102: {-13, 0}, ! 103: {-7, 1}, ! 104: {-5, 2}, ! 105: {-4, 3}, ! 106: {-3, 2}, ! 107: {-3, 5}, ! 108: {-2, 1}, ! 109: {-2, 3}, ! 110: {-2, 5}, ! 111: {-2, 7}, ! 112: {-2, 9}, ! 113: {-2, 11}, ! 114: {-1, 0}, ! 115: {-1, 1}, ! 116: {-1, 2}, ! 117: {-1, 3}, ! 118: // numerator = -12 ! 119: {0, -12}, ! 120: {0, -12}, ! 121: {0, -12}, ! 122: {1, 0}, ! 123: {1, -1}, ! 124: {1, -2}, ! 125: {1, -3}, ! 126: {1, -4}, ! 127: {1, -5}, ! 128: {2, 0}, ! 129: {2, -2}, ! 130: {3, 0}, ! 131: {4, 0}, ! 132: {6, 0}, ! 133: {12, 0}, ! 134: {0, 0}, ! 135: {-12, 0}, ! 136: {-6, 0}, ! 137: {-4, 0}, ! 138: {-3, 0}, ! 139: {-3, 3}, ! 140: {-2, 0}, ! 141: {-2, 2}, ! 142: {-2, 4}, ! 143: {-2, 6}, ! 144: {-2, 8}, ! 145: {-2, 10}, ! 146: {-1, 0}, ! 147: {-1, 1}, ! 148: {-1, 2}, ! 149: {-1, 3}, ! 150: {-1, 4}, ! 151: // numerator = -11 ! 152: {0, -11}, ! 153: {0, -11}, ! 154: {0, -11}, ! 155: {0, -11}, ! 156: {1, 0}, ! 157: {1, -1}, ! 158: {1, -2}, ! 159: {1, -3}, ! 160: {1, -4}, ! 161: {1, -5}, ! 162: {2, -1}, ! 163: {2, -3}, ! 164: {3, -2}, ! 165: {5, -1}, ! 166: {11, 0}, ! 167: {0, 0}, ! 168: {-11, 0}, ! 169: {-6, 1}, ! 170: {-4, 1}, ! 171: {-3, 1}, ! 172: {-3, 4}, ! 173: {-2, 1}, ! 174: {-2, 3}, ! 175: {-2, 5}, ! 176: {-2, 7}, ! 177: {-2, 9}, ! 178: {-1, 0}, ! 179: {-1, 1}, ! 180: {-1, 2}, ! 181: {-1, 3}, ! 182: {-1, 4}, ! 183: {-1, 5}, ! 184: // numerator = -10 ! 185: {0, -10}, ! 186: {0, -10}, ! 187: {0, -10}, ! 188: {0, -10}, ! 189: {0, -10}, ! 190: {1, 0}, ! 191: {1, -1}, ! 192: {1, -2}, ! 193: {1, -3}, ! 194: {1, -4}, ! 195: {2, 0}, ! 196: {2, -2}, ! 197: {3, -1}, ! 198: {5, 0}, ! 199: {10, 0}, ! 200: {0, 0}, ! 201: {-10, 0}, ! 202: {-5, 0}, ! 203: {-4, 2}, ! 204: {-3, 2}, ! 205: {-2, 0}, ! 206: {-2, 2}, ! 207: {-2, 4}, ! 208: {-2, 6}, ! 209: {-2, 8}, ! 210: {-1, 0}, ! 211: {-1, 1}, ! 212: {-1, 2}, ! 213: {-1, 3}, ! 214: {-1, 4}, ! 215: {-1, 5}, ! 216: {-1, 6}, ! 217: // numerator = -9 ! 218: {0, -9}, ! 219: {0, -9}, ! 220: {0, -9}, ! 221: {0, -9}, ! 222: {0, -9}, ! 223: {0, -9}, ! 224: {1, 0}, ! 225: {1, -1}, ! 226: {1, -2}, ! 227: {1, -3}, ! 228: {1, -4}, ! 229: {2, -1}, ! 230: {3, 0}, ! 231: {4, -1}, ! 232: {9, 0}, ! 233: {0, 0}, ! 234: {-9, 0}, ! 235: {-5, 1}, ! 236: {-3, 0}, ! 237: {-3, 3}, ! 238: {-2, 1}, ! 239: {-2, 3}, ! 240: {-2, 5}, ! 241: {-2, 7}, ! 242: {-1, 0}, ! 243: {-1, 1}, ! 244: {-1, 2}, ! 245: {-1, 3}, ! 246: {-1, 4}, ! 247: {-1, 5}, ! 248: {-1, 6}, ! 249: {-1, 7}, ! 250: // numerator = -8 ! 251: {0, -8}, ! 252: {0, -8}, ! 253: {0, -8}, ! 254: {0, -8}, ! 255: {0, -8}, ! 256: {0, -8}, ! 257: {0, -8}, ! 258: {1, 0}, ! 259: {1, -1}, ! 260: {1, -2}, ! 261: {1, -3}, ! 262: {2, 0}, ! 263: {2, -2}, ! 264: {4, 0}, ! 265: {8, 0}, ! 266: {0, 0}, ! 267: {-8, 0}, ! 268: {-4, 0}, ! 269: {-3, 1}, ! 270: {-2, 0}, ! 271: {-2, 2}, ! 272: {-2, 4}, ! 273: {-2, 6}, ! 274: {-1, 0}, ! 275: {-1, 1}, ! 276: {-1, 2}, ! 277: {-1, 3}, ! 278: {-1, 4}, ! 279: {-1, 5}, ! 280: {-1, 6}, ! 281: {-1, 7}, ! 282: {-1, 8}, ! 283: // numerator = -7 ! 284: {0, -7}, ! 285: {0, -7}, ! 286: {0, -7}, ! 287: {0, -7}, ! 288: {0, -7}, ! 289: {0, -7}, ! 290: {0, -7}, ! 291: {0, -7}, ! 292: {1, 0}, ! 293: {1, -1}, ! 294: {1, -2}, ! 295: {1, -3}, ! 296: {2, -1}, ! 297: {3, -1}, ! 298: {7, 0}, ! 299: {0, 0}, ! 300: {-7, 0}, ! 301: {-4, 1}, ! 302: {-3, 2}, ! 303: {-2, 1}, ! 304: {-2, 3}, ! 305: {-2, 5}, ! 306: {-1, 0}, ! 307: {-1, 1}, ! 308: {-1, 2}, ! 309: {-1, 3}, ! 310: {-1, 4}, ! 311: {-1, 5}, ! 312: {-1, 6}, ! 313: {-1, 7}, ! 314: {-1, 8}, ! 315: {-1, 9}, ! 316: // numerator = -6 ! 317: {0, -6}, ! 318: {0, -6}, ! 319: {0, -6}, ! 320: {0, -6}, ! 321: {0, -6}, ! 322: {0, -6}, ! 323: {0, -6}, ! 324: {0, -6}, ! 325: {0, -6}, ! 326: {1, 0}, ! 327: {1, -1}, ! 328: {1, -2}, ! 329: {2, 0}, ! 330: {3, 0}, ! 331: {6, 0}, ! 332: {0, 0}, ! 333: {-6, 0}, ! 334: {-3, 0}, ! 335: {-2, 0}, ! 336: {-2, 2}, ! 337: {-2, 4}, ! 338: {-1, 0}, ! 339: {-1, 1}, ! 340: {-1, 2}, ! 341: {-1, 3}, ! 342: {-1, 4}, ! 343: {-1, 5}, ! 344: {-1, 6}, ! 345: {-1, 7}, ! 346: {-1, 8}, ! 347: {-1, 9}, ! 348: {-1, 10}, ! 349: // numerator = -5 ! 350: {0, -5}, ! 351: {0, -5}, ! 352: {0, -5}, ! 353: {0, -5}, ! 354: {0, -5}, ! 355: {0, -5}, ! 356: {0, -5}, ! 357: {0, -5}, ! 358: {0, -5}, ! 359: {0, -5}, ! 360: {1, 0}, ! 361: {1, -1}, ! 362: {1, -2}, ! 363: {2, -1}, ! 364: {5, 0}, ! 365: {0, 0}, ! 366: {-5, 0}, ! 367: {-3, 1}, ! 368: {-2, 1}, ! 369: {-2, 3}, ! 370: {-1, 0}, ! 371: {-1, 1}, ! 372: {-1, 2}, ! 373: {-1, 3}, ! 374: {-1, 4}, ! 375: {-1, 5}, ! 376: {-1, 6}, ! 377: {-1, 7}, ! 378: {-1, 8}, ! 379: {-1, 9}, ! 380: {-1, 10}, ! 381: {-1, 11}, ! 382: // numerator = -4 ! 383: {0, -4}, ! 384: {0, -4}, ! 385: {0, -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: {1, 0}, ! 395: {1, -1}, ! 396: {2, 0}, ! 397: {4, 0}, ! 398: {0, 0}, ! 399: {-4, 0}, ! 400: {-2, 0}, ! 401: {-2, 2}, ! 402: {-1, 0}, ! 403: {-1, 1}, ! 404: {-1, 2}, ! 405: {-1, 3}, ! 406: {-1, 4}, ! 407: {-1, 5}, ! 408: {-1, 6}, ! 409: {-1, 7}, ! 410: {-1, 8}, ! 411: {-1, 9}, ! 412: {-1, 10}, ! 413: {-1, 11}, ! 414: {-1, 12}, ! 415: // numerator = -3 ! 416: {0, -3}, ! 417: {0, -3}, ! 418: {0, -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: {1, 0}, ! 429: {1, -1}, ! 430: {3, 0}, ! 431: {0, 0}, ! 432: {-3, 0}, ! 433: {-2, 1}, ! 434: {-1, 0}, ! 435: {-1, 1}, ! 436: {-1, 2}, ! 437: {-1, 3}, ! 438: {-1, 4}, ! 439: {-1, 5}, ! 440: {-1, 6}, ! 441: {-1, 7}, ! 442: {-1, 8}, ! 443: {-1, 9}, ! 444: {-1, 10}, ! 445: {-1, 11}, ! 446: {-1, 12}, ! 447: {-1, 13}, ! 448: // numerator = -2 ! 449: {0, -2}, ! 450: {0, -2}, ! 451: {0, -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: {1, 0}, ! 463: {2, 0}, ! 464: {0, 0}, ! 465: {-2, 0}, ! 466: {-1, 0}, ! 467: {-1, 1}, ! 468: {-1, 2}, ! 469: {-1, 3}, ! 470: {-1, 4}, ! 471: {-1, 5}, ! 472: {-1, 6}, ! 473: {-1, 7}, ! 474: {-1, 8}, ! 475: {-1, 9}, ! 476: {-1, 10}, ! 477: {-1, 11}, ! 478: {-1, 12}, ! 479: {-1, 13}, ! 480: {-1, 14}, ! 481: // numerator = -1 ! 482: {0, -1}, ! 483: {0, -1}, ! 484: {0, -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: {1, 0}, ! 497: {0, 0}, ! 498: {-1, 0}, ! 499: {-1, 1}, ! 500: {-1, 2}, ! 501: {-1, 3}, ! 502: {-1, 4}, ! 503: {-1, 5}, ! 504: {-1, 6}, ! 505: {-1, 7}, ! 506: {-1, 8}, ! 507: {-1, 9}, ! 508: {-1, 10}, ! 509: {-1, 11}, ! 510: {-1, 12}, ! 511: {-1, 13}, ! 512: {-1, 14}, ! 513: {-1, 15}, ! 514: // numerator = 0 ! 515: {0, 0}, ! 516: {0, 0}, ! 517: {0, 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: // numerator = 1 ! 548: {-1, -14}, ! 549: {-1, -13}, ! 550: {-1, -12}, ! 551: {-1, -11}, ! 552: {-1, -10}, ! 553: {-1, -9}, ! 554: {-1, -8}, ! 555: {-1, -7}, ! 556: {-1, -6}, ! 557: {-1, -5}, ! 558: {-1, -4}, ! 559: {-1, -3}, ! 560: {-1, -2}, ! 561: {-1, -1}, ! 562: {-1, 0}, ! 563: {0, 0}, ! 564: {1, 0}, ! 565: {0, 1}, ! 566: {0, 1}, ! 567: {0, 1}, ! 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: // numerator = 2 ! 581: {-1, -13}, ! 582: {-1, -12}, ! 583: {-1, -11}, ! 584: {-1, -10}, ! 585: {-1, -9}, ! 586: {-1, -8}, ! 587: {-1, -7}, ! 588: {-1, -6}, ! 589: {-1, -5}, ! 590: {-1, -4}, ! 591: {-1, -3}, ! 592: {-1, -2}, ! 593: {-1, -1}, ! 594: {-1, 0}, ! 595: {-2, 0}, ! 596: {0, 0}, ! 597: {2, 0}, ! 598: {1, 0}, ! 599: {0, 2}, ! 600: {0, 2}, ! 601: {0, 2}, ! 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: // numerator = 3 ! 614: {-1, -12}, ! 615: {-1, -11}, ! 616: {-1, -10}, ! 617: {-1, -9}, ! 618: {-1, -8}, ! 619: {-1, -7}, ! 620: {-1, -6}, ! 621: {-1, -5}, ! 622: {-1, -4}, ! 623: {-1, -3}, ! 624: {-1, -2}, ! 625: {-1, -1}, ! 626: {-1, 0}, ! 627: {-2, -1}, ! 628: {-3, 0}, ! 629: {0, 0}, ! 630: {3, 0}, ! 631: {1, 1}, ! 632: {1, 0}, ! 633: {0, 3}, ! 634: {0, 3}, ! 635: {0, 3}, ! 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: // numerator = 4 ! 647: {-1, -11}, ! 648: {-1, -10}, ! 649: {-1, -9}, ! 650: {-1, -8}, ! 651: {-1, -7}, ! 652: {-1, -6}, ! 653: {-1, -5}, ! 654: {-1, -4}, ! 655: {-1, -3}, ! 656: {-1, -2}, ! 657: {-1, -1}, ! 658: {-1, 0}, ! 659: {-2, -2}, ! 660: {-2, 0}, ! 661: {-4, 0}, ! 662: {0, 0}, ! 663: {4, 0}, ! 664: {2, 0}, ! 665: {1, 1}, ! 666: {1, 0}, ! 667: {0, 4}, ! 668: {0, 4}, ! 669: {0, 4}, ! 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: // numerator = 5 ! 680: {-1, -10}, ! 681: {-1, -9}, ! 682: {-1, -8}, ! 683: {-1, -7}, ! 684: {-1, -6}, ! 685: {-1, -5}, ! 686: {-1, -4}, ! 687: {-1, -3}, ! 688: {-1, -2}, ! 689: {-1, -1}, ! 690: {-1, 0}, ! 691: {-2, -3}, ! 692: {-2, -1}, ! 693: {-3, -1}, ! 694: {-5, 0}, ! 695: {0, 0}, ! 696: {5, 0}, ! 697: {2, 1}, ! 698: {1, 2}, ! 699: {1, 1}, ! 700: {1, 0}, ! 701: {0, 5}, ! 702: {0, 5}, ! 703: {0, 5}, ! 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: // numerator = 6 ! 713: {-1, -9}, ! 714: {-1, -8}, ! 715: {-1, -7}, ! 716: {-1, -6}, ! 717: {-1, -5}, ! 718: {-1, -4}, ! 719: {-1, -3}, ! 720: {-1, -2}, ! 721: {-1, -1}, ! 722: {-1, 0}, ! 723: {-2, -4}, ! 724: {-2, -2}, ! 725: {-2, 0}, ! 726: {-3, 0}, ! 727: {-6, 0}, ! 728: {0, 0}, ! 729: {6, 0}, ! 730: {3, 0}, ! 731: {2, 0}, ! 732: {1, 2}, ! 733: {1, 1}, ! 734: {1, 0}, ! 735: {0, 6}, ! 736: {0, 6}, ! 737: {0, 6}, ! 738: {0, 6}, ! 739: {0, 6}, ! 740: {0, 6}, ! 741: {0, 6}, ! 742: {0, 6}, ! 743: {0, 6}, ! 744: {0, 6}, ! 745: // numerator = 7 ! 746: {-1, -8}, ! 747: {-1, -7}, ! 748: {-1, -6}, ! 749: {-1, -5}, ! 750: {-1, -4}, ! 751: {-1, -3}, ! 752: {-1, -2}, ! 753: {-1, -1}, ! 754: {-1, 0}, ! 755: {-2, -5}, ! 756: {-2, -3}, ! 757: {-2, -1}, ! 758: {-3, -2}, ! 759: {-4, -1}, ! 760: {-7, 0}, ! 761: {0, 0}, ! 762: {7, 0}, ! 763: {3, 1}, ! 764: {2, 1}, ! 765: {1, 3}, ! 766: {1, 2}, ! 767: {1, 1}, ! 768: {1, 0}, ! 769: {0, 7}, ! 770: {0, 7}, ! 771: {0, 7}, ! 772: {0, 7}, ! 773: {0, 7}, ! 774: {0, 7}, ! 775: {0, 7}, ! 776: {0, 7}, ! 777: {0, 7}, ! 778: // numerator = 8 ! 779: {-1, -7}, ! 780: {-1, -6}, ! 781: {-1, -5}, ! 782: {-1, -4}, ! 783: {-1, -3}, ! 784: {-1, -2}, ! 785: {-1, -1}, ! 786: {-1, 0}, ! 787: {-2, -6}, ! 788: {-2, -4}, ! 789: {-2, -2}, ! 790: {-2, 0}, ! 791: {-3, -1}, ! 792: {-4, 0}, ! 793: {-8, 0}, ! 794: {0, 0}, ! 795: {8, 0}, ! 796: {4, 0}, ! 797: {2, 2}, ! 798: {2, 0}, ! 799: {1, 3}, ! 800: {1, 2}, ! 801: {1, 1}, ! 802: {1, 0}, ! 803: {0, 8}, ! 804: {0, 8}, ! 805: {0, 8}, ! 806: {0, 8}, ! 807: {0, 8}, ! 808: {0, 8}, ! 809: {0, 8}, ! 810: {0, 8}, ! 811: // numerator = 9 ! 812: {-1, -6}, ! 813: {-1, -5}, ! 814: {-1, -4}, ! 815: {-1, -3}, ! 816: {-1, -2}, ! 817: {-1, -1}, ! 818: {-1, 0}, ! 819: {-2, -7}, ! 820: {-2, -5}, ! 821: {-2, -3}, ! 822: {-2, -1}, ! 823: {-3, -3}, ! 824: {-3, 0}, ! 825: {-5, -1}, ! 826: {-9, 0}, ! 827: {0, 0}, ! 828: {9, 0}, ! 829: {4, 1}, ! 830: {3, 0}, ! 831: {2, 1}, ! 832: {1, 4}, ! 833: {1, 3}, ! 834: {1, 2}, ! 835: {1, 1}, ! 836: {1, 0}, ! 837: {0, 9}, ! 838: {0, 9}, ! 839: {0, 9}, ! 840: {0, 9}, ! 841: {0, 9}, ! 842: {0, 9}, ! 843: {0, 9}, ! 844: // numerator = 10 ! 845: {-1, -5}, ! 846: {-1, -4}, ! 847: {-1, -3}, ! 848: {-1, -2}, ! 849: {-1, -1}, ! 850: {-1, 0}, ! 851: {-2, -8}, ! 852: {-2, -6}, ! 853: {-2, -4}, ! 854: {-2, -2}, ! 855: {-2, 0}, ! 856: {-3, -2}, ! 857: {-4, -2}, ! 858: {-5, 0}, ! 859: {-10, 0}, ! 860: {0, 0}, ! 861: {10, 0}, ! 862: {5, 0}, ! 863: {3, 1}, ! 864: {2, 2}, ! 865: {2, 0}, ! 866: {1, 4}, ! 867: {1, 3}, ! 868: {1, 2}, ! 869: {1, 1}, ! 870: {1, 0}, ! 871: {0, 10}, ! 872: {0, 10}, ! 873: {0, 10}, ! 874: {0, 10}, ! 875: {0, 10}, ! 876: {0, 10}, ! 877: // numerator = 11 ! 878: {-1, -4}, ! 879: {-1, -3}, ! 880: {-1, -2}, ! 881: {-1, -1}, ! 882: {-1, 0}, ! 883: {-2, -9}, ! 884: {-2, -7}, ! 885: {-2, -5}, ! 886: {-2, -3}, ! 887: {-2, -1}, ! 888: {-3, -4}, ! 889: {-3, -1}, ! 890: {-4, -1}, ! 891: {-6, -1}, ! 892: {-11, 0}, ! 893: {0, 0}, ! 894: {11, 0}, ! 895: {5, 1}, ! 896: {3, 2}, ! 897: {2, 3}, ! 898: {2, 1}, ! 899: {1, 5}, ! 900: {1, 4}, ! 901: {1, 3}, ! 902: {1, 2}, ! 903: {1, 1}, ! 904: {1, 0}, ! 905: {0, 11}, ! 906: {0, 11}, ! 907: {0, 11}, ! 908: {0, 11}, ! 909: {0, 11}, ! 910: // numerator = 12 ! 911: {-1, -3}, ! 912: {-1, -2}, ! 913: {-1, -1}, ! 914: {-1, 0}, ! 915: {-2, -10}, ! 916: {-2, -8}, ! 917: {-2, -6}, ! 918: {-2, -4}, ! 919: {-2, -2}, ! 920: {-2, 0}, ! 921: {-3, -3}, ! 922: {-3, 0}, ! 923: {-4, 0}, ! 924: {-6, 0}, ! 925: {-12, 0}, ! 926: {0, 0}, ! 927: {12, 0}, ! 928: {6, 0}, ! 929: {4, 0}, ! 930: {3, 0}, ! 931: {2, 2}, ! 932: {2, 0}, ! 933: {1, 5}, ! 934: {1, 4}, ! 935: {1, 3}, ! 936: {1, 2}, ! 937: {1, 1}, ! 938: {1, 0}, ! 939: {0, 12}, ! 940: {0, 12}, ! 941: {0, 12}, ! 942: {0, 12}, ! 943: // numerator = 13 ! 944: {-1, -2}, ! 945: {-1, -1}, ! 946: {-1, 0}, ! 947: {-2, -11}, ! 948: {-2, -9}, ! 949: {-2, -7}, ! 950: {-2, -5}, ! 951: {-2, -3}, ! 952: {-2, -1}, ! 953: {-3, -5}, ! 954: {-3, -2}, ! 955: {-4, -3}, ! 956: {-5, -2}, ! 957: {-7, -1}, ! 958: {-13, 0}, ! 959: {0, 0}, ! 960: {13, 0}, ! 961: {6, 1}, ! 962: {4, 1}, ! 963: {3, 1}, ! 964: {2, 3}, ! 965: {2, 1}, ! 966: {1, 6}, ! 967: {1, 5}, ! 968: {1, 4}, ! 969: {1, 3}, ! 970: {1, 2}, ! 971: {1, 1}, ! 972: {1, 0}, ! 973: {0, 13}, ! 974: {0, 13}, ! 975: {0, 13}, ! 976: // numerator = 14 ! 977: {-1, -1}, ! 978: {-1, 0}, ! 979: {-2, -12}, ! 980: {-2, -10}, ! 981: {-2, -8}, ! 982: {-2, -6}, ! 983: {-2, -4}, ! 984: {-2, -2}, ! 985: {-2, 0}, ! 986: {-3, -4}, ! 987: {-3, -1}, ! 988: {-4, -2}, ! 989: {-5, -1}, ! 990: {-7, 0}, ! 991: {-14, 0}, ! 992: {0, 0}, ! 993: {14, 0}, ! 994: {7, 0}, ! 995: {4, 2}, ! 996: {3, 2}, ! 997: {2, 4}, ! 998: {2, 2}, ! 999: {2, 0}, ! 1000: {1, 6}, ! 1001: {1, 5}, ! 1002: {1, 4}, ! 1003: {1, 3}, ! 1004: {1, 2}, ! 1005: {1, 1}, ! 1006: {1, 0}, ! 1007: {0, 14}, ! 1008: {0, 14}, ! 1009: // numerator = 15 ! 1010: {-1, 0}, ! 1011: {-2, -13}, ! 1012: {-2, -11}, ! 1013: {-2, -9}, ! 1014: {-2, -7}, ! 1015: {-2, -5}, ! 1016: {-2, -3}, ! 1017: {-2, -1}, ! 1018: {-3, -6}, ! 1019: {-3, -3}, ! 1020: {-3, 0}, ! 1021: {-4, -1}, ! 1022: {-5, 0}, ! 1023: {-8, -1}, ! 1024: {-15, 0}, ! 1025: {0, 0}, ! 1026: {15, 0}, ! 1027: {7, 1}, ! 1028: {5, 0}, ! 1029: {3, 3}, ! 1030: {3, 0}, ! 1031: {2, 3}, ! 1032: {2, 1}, ! 1033: {1, 7}, ! 1034: {1, 6}, ! 1035: {1, 5}, ! 1036: {1, 4}, ! 1037: {1, 3}, ! 1038: {1, 2}, ! 1039: {1, 1}, ! 1040: {1, 0}, ! 1041: {0, 15}, ! 1042: // numerator = 16 ! 1043: {-2, -14}, ! 1044: {-2, -12}, ! 1045: {-2, -10}, ! 1046: {-2, -8}, ! 1047: {-2, -6}, ! 1048: {-2, -4}, ! 1049: {-2, -2}, ! 1050: {-2, 0}, ! 1051: {-3, -5}, ! 1052: {-3, -2}, ! 1053: {-4, -4}, ! 1054: {-4, 0}, ! 1055: {-6, -2}, ! 1056: {-8, 0}, ! 1057: {-16, 0}, ! 1058: {0, 0}, ! 1059: {16, 0}, ! 1060: {8, 0}, ! 1061: {5, 1}, ! 1062: {4, 0}, ! 1063: {3, 1}, ! 1064: {2, 4}, ! 1065: {2, 2}, ! 1066: {2, 0}, ! 1067: {1, 7}, ! 1068: {1, 6}, ! 1069: {1, 5}, ! 1070: {1, 4}, ! 1071: {1, 3}, ! 1072: {1, 2}, ! 1073: {1, 1}, ! 1074: {1, 0},
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