input (9229B)
1BFFBFBFLRL 2BFBFBBBLRR 3BFBFBFBLRR 4BFBFFFFRLR 5BBFFBBFRRR 6FBBBFFFRLL 7FFBFBFFLLL 8BBFBFFFRLL 9FBBBFFBLRR 10FFFFBFFRRL 11BFBFBFBRLL 12FFBFFBBLLL 13BFFBBFFRLR 14FBBFFFFLRR 15FBFBFFBRRR 16FFBFFBBRRR 17FBBBFFFRRL 18FFBBBBFRRL 19BFFBBBBLLL 20BFBBFBBLLR 21FBBFBFFLLR 22FBBFBFFLRR 23BFFFFBFLLL 24FBBBBBBRRR 25FBFFBBFLLR 26BBFBFFBRLR 27FFFFFBBLLR 28FBBFBBBRLL 29FFFFBBFRRR 30FFFFBFBLRL 31FFFBFBFLLR 32FFBFBBBLRR 33BFFBBBFRLR 34FFFBFBBLLL 35FBFBBBFLRR 36BBFFFBFLLL 37FFFFFBBLRR 38FFBFBFFRLL 39BFFFBBFRLR 40BFBBBFBLLR 41FFFBBFFLRL 42BFBBBFBLLL 43FBFBBFBRLR 44BBFFBFFRRR 45BFFFFBBLRR 46FBBBBBFLRL 47FBFBBBBRRR 48FBFBBFFLLL 49BFBBBFBRLL 50FFBBFBBLRR 51FFBFBBBRRR 52FFFFFBFLRL 53BFFBBBFLRR 54BFBBFBFLLR 55FFBFBBBLRL 56FBBBBFBLLL 57BFBBBFFLRR 58FBBFFBBLRR 59BFFBBFBLRR 60FBBBBBFLLL 61FFFFBBBRLR 62FBFBBBFLLR 63BFBFFBFRLR 64BFFBFFBRRR 65FBBFFFFLRL 66BFBFBBFLRL 67BBFBFFFRLR 68FBFFFFBLRR 69BFFFBFFRLL 70FBFFBFBLLR 71FFFBFFFRLR 72FFFBFFFRLL 73BFFBFBBLLL 74FFBBFBBLRL 75BFBBBBFLRL 76BFBBBBFLRR 77BFBFFFFRRL 78BFBBBFBRLR 79BBFFBBBLLR 80FBBFBBFRLR 81FBFBFBFLLR 82BFBFFBBRRR 83FFFFBBFLLR 84FBFFBFFLLL 85BFFFFFBRLR 86FBFBBBFLRL 87BFFFBBFLLR 88FBFBFBBRRR 89FBFFBFBLRL 90BBFFFBBLLL 91FBFFFBFRRL 92BBFFFFBRLR 93BBFFBFBRRL 94BFFBBBBRLR 95FBFFFBBLRL 96FBBFBBFLLR 97FFBBBBBLLL 98FBBBBBFLLR 99FFBFFBFRLR 100BFFBBFBLRL 101FFBBBBFRLR 102BFFBFBBRRL 103FBFBBBFLLL 104BBFBFFBRRR 105FBFBBFFLLR 106BFFFFFBRLL 107FBBBBFBLLR 108FFBBBFBLRR 109FBBBBFBRLR 110FBBBBBBRRL 111FBBFFFBRRL 112FBFBFFFLRR 113FBBFFFBRLR 114BFFBFBFRRL 115FFBFBBFRLL 116FBFBFFFRRR 117BFFFFBFRRR 118FFFFFBFRRL 119BBFFBFFLRL 120FBBBBBBLLR 121BFFFBFFRRR 122FFFFFBFRLL 123FBBFBFBLLL 124FFFFBBFLRR 125BFBBFFFRLR 126FFBFFBBLRR 127FBFFBFBLRR 128FFBBBFBLRL 129FFFBBFBRLR 130BFBFFBBLLR 131FFFBBFBLLL 132BBFFFBBLRL 133FBFBFFFRLR 134BBFFBFFRLR 135FFFBFBFRLR 136FFBBBBFLLR 137BBFFBFFLRR 138FFFFFBFRLR 139BFBFBBFRRR 140BBFFFBFRRL 141BFFBFBFLLR 142FFFBBBBLLL 143BFFFBBFLLL 144BBFFFBBRRL 145BFFFFBFRLL 146BFBFBBBLLR 147BBFBFFBRRL 148FBFFBBFLLL 149FBFBFFFRRL 150FBBFBBBLRR 151BFBBFFBRLL 152FBFBBBBRLR 153FFFBBFFLRR 154FBBFFBFRRL 155BFFBBBBLRR 156FFFFBBFRLR 157FBFBBBFRRR 158BFFBFFFRLL 159BFFFFFFRRL 160FBFFFFBRLR 161BFFFFBBRRL 162FBBBBBFRLR 163FBBBBFBLRR 164FFFBBFBRLL 165FBBFBBFRRL 166FFFBBBBRRL 167FBBFFBBRRL 168BFFBBFFLLR 169FFFBFFBRRL 170FBFFBFFLLR 171FFFFFFBRLL 172FFBBFBBRLR 173FFBBFBFLRR 174FFFBFFBRRR 175FFBFFBBLLR 176BFBFBFBLLR 177FFBBBBFRRR 178BFBBBFBLRL 179BFFFBBFRRL 180FBFBBBFRLL 181BBFFFFBRRR 182FBBFBFBRLR 183BFBBBFFRRL 184FBBBBFBRRL 185FBBBFFBLRL 186FBFFFBBRRL 187BFBBFFBRRL 188FBFBBFFLRL 189FBFBBBBLRL 190FFBBBFBRRL 191FBBBBBBLRL 192FFFFBBFRLL 193FBFBBFBRLL 194BFBFBBFLLR 195FBFFFBBRLR 196BFBFBBBRRR 197FBBBBBBLRR 198BFFBFFBRRL 199FFBBBBBRLR 200BFFFBBFLRL 201FBFBBBBRLL 202FFFFFBFRRR 203BFBBBBFRLR 204FFBFFBFRRL 205FBBBBBBRLR 206FBFFFBBLRR 207FFFBFFBRLR 208BFBFFBFLLR 209FFFFFBBRRL 210FBBBBBFRRL 211FFFFBBBRRR 212BFBBFFFRLL 213BBFFBFBLLR 214FFFFBFFLRR 215FBFFFBFLLL 216FBBFFBFRLR 217BBFBFFBLLR 218BBFBFFFLRL 219BFFFBBBRLR 220BFFBFFBLRL 221BFBFBFFLRL 222FBBFFBBRLR 223FBFBFBBRLL 224FFBFFFFLLL 225FFFFBFBLLL 226FBBFFBBLLR 227FFFFBBBLRR 228FFFFFBBRRR 229BBFFFFFRLL 230FBFBBFBRRR 231FBBFFFFRRR 232FFFFBFBRLR 233BFFFFBBLLR 234FFFBBBFRLL 235BFFBBBBRRR 236FBFFBBFRLL 237BFBBFBFLRL 238FBFBFBBLLL 239FFBFFFFRRL 240FBFBBBFRRL 241FBBBBBBRLL 242BFFFBFBRRR 243BFBFBFBRRR 244FBFFFBBRLL 245BFFFFBBLLL 246FFFBFFFRRL 247FBBBBFFRRL 248BFFFFFFLRR 249BFBFBFFLRR 250BFFFFBBRLL 251FBBFFFFRRL 252BFBBFBBRRR 253FFFBFFBLLR 254BFFBFFFRLR 255FFBFFFBLLR 256BFBFBFBLLL 257BFFBFFFLRR 258FFBBFFBLRR 259FBBFFBFRLL 260FFBFBFBRRL 261FBFFFFFLLR 262FBFFBBFRLR 263FBFBBBFRLR 264FFBBFFFLRR 265FBBFFFFLLL 266FFFBFFFLRL 267BFFBBFBLLR 268BFFFFFBLLL 269BBFBFFBLLL 270BFFBFBBLRR 271BBFFFFBRLL 272FBFFBFFLRL 273FBBFFFFLLR 274FFFBBFFRLR 275FFFBBFBLRL 276BFFBBBBLLR 277BFBBBFBRRL 278FFBBBFFLRR 279FBBFFBBRLL 280FFFBFBBRRR 281BFFBFFFLRL 282BFFFBFFLLR 283FFFBFBFLLL 284FFBFBFFRRL 285FFFBFFFRRR 286BFBFFFFLRL 287BFFFFFBRRL 288FFFBFBBLRL 289FBFFBFFRRL 290FFFFBFFLLR 291FFBBBBFRLL 292FBBBBFFLRR 293FFFFBFFLLL 294BFBBBBFRRL 295FBFBBFFLRR 296FFBBFBFRLL 297FFFBFBBRLL 298BFFFFFFLRL 299BBFFFFBLRL 300BFFFFFFRLR 301FBFFFBFRLR 302FBFFFFFLRL 303BFBFBFFRLL 304FFBBFBFLRL 305FFFBBBFLLR 306FBBFFFBRRR 307FFFFFBFLRR 308FBFFFBBLLR 309FFFFBFBLRR 310FBBFBBBLLR 311FBBBFFBLLL 312BBFFBFFRRL 313BFBBFBBLLL 314FBFFBFFRRR 315FBFFFFBRLL 316FFBBBFBRRR 317FBBFFBBLLL 318BBFFBBBRLL 319FBFFFBFLRR 320FBBBFFBRLR 321FFBBBBBLLR 322FBFFFFBLRL 323BFFFBFBRLL 324FFFFFBBLRL 325BFBBFFBLLL 326BBFFBBFLRR 327BBFFBFFLLL 328FBFBFFBRRL 329BFFBBFFRRL 330BFFBBFBRRR 331FFBBBFBRLL 332FBBFBFBRRL 333FBFBBFBLLL 334BFFFBBBLLL 335FFFBBBFLRL 336BFBBFFFLRL 337FFFBFFBLLL 338FFBBFBBRRR 339FBBBBFFLLL 340BBFBFFFRRR 341FFBFFBFLRR 342BFFBBFBLLL 343BFFFBFBLLR 344FFBBFBFRRR 345BBFFFBBLRR 346FFFFBFFRLL 347BFBBBFFRLL 348BFBFBFFRRL 349BFBFFBBLRR 350FBBFFFFRLL 351FFFBFBBLLR 352BBFFBBBLRR 353FFBFBFBRLR 354BBFFBBFLRL 355BBFFFBBLLR 356BFFFBBFLRR 357FBBBBFFRLL 358FBBFFFBLRR 359BFBFBFBRLR 360FBFBBFFRLR 361FFFFBFFLRL 362FBBBFBBLLR 363FBFFFFFRLR 364FBBFBBFLRR 365BFBFBFFRLR 366FFBFFBFLLR 367FFFFBBBRLL 368FBBBFBBRLL 369FFFBFBFLRL 370BFBBFFFLLR 371BFFBFFBLRR 372BFFFBFFRLR 373FBBFFBFLLL 374FBFBBBBRRL 375FBBBBBFRLL 376FBFFBBBRLR 377FFBFFFBRRL 378FFBFFBFLLL 379BFBFBBFRLR 380BFFFBFFLRL 381FFBBBBBRRL 382FBBFFBBLRL 383FBFFFBBRRR 384FBBFBFFLRL 385BFFBFBFLRR 386FFBBBFFRRR 387BFBFFBBRLR 388FBFBFBFRRL 389FFBFBBBLLL 390FBBFFFBLLL 391FFFBBFBRRL 392FFFFBBBRRL 393FBBBFBFLLR 394FBBBBBFRRR 395FBFBBBBLLL 396FFFBFBBLRR 397FFBBFBBLLL 398FBBFBBFLLL 399FBFFFFBRRR 400FBBBFFFLRR 401FFFBFBBRLR 402FBFFFFFRRR 403BFBBFBFLLL 404BFFFBBFRRR 405BFFFBFBLRR 406FBFFBFBRLR 407BFBFFFBRLR 408BFBBBBBLRL 409BBFFBFBRRR 410FFBFFFFRLL 411FFFFFBFLLR 412FBBBFBFRRR 413BFBFFFBRRR 414FBFBFFBLRL 415FBFFBFBLLL 416FBBFFFBLRL 417BFFBFBBRLL 418FFFBFFBLRR 419BFBBFBFLRR 420FBBFBBFRLL 421FFBFBFFLLR 422FFBBFBFRLR 423FBFBFBBLRR 424FFFBFBBRRL 425FBFBFFFLLR 426BFFBBFFLRR 427FFBFFBBLRL 428FFFFBFBRLL 429BFBBBFFRRR 430BFBFFFFRRR 431FBFBBFBRRL 432BFBBFFFLRR 433BFBBFFBLRR 434BFBFFFFLRR 435FBFBFFFLLL 436FFFBBBBRRR 437FBBBBFFLRL 438FBFBFFBLLL 439BBFBFFBLRL 440FFBFFBBRRL 441BBFFFFBRRL 442FBFFBBBLRR 443FBFBFFFRLL 444BFBBBFFLLL 445FBBBFFBRRL 446BBFFBFFLLR 447FBFFFFFRRL 448BFFBFFBRLR 449BFBFBBFLRR 450FFBFFFBLRL 451FFBFBBBLLR 452FFFBBBBLLR 453FFBBFBFRRL 454FFBFFFFRLR 455FFBFFFBRRR 456FBBFFBFLRR 457BBFBFFFLRR 458FFBFBFBLLL 459BFBBFFFRRR 460FBBBFFFLLR 461FBFFBFFLRR 462BBFFFFBLLR 463FBFFFBFLRL 464FFFBBFBLRR 465FBBBBFBLRL 466FFFFFFBRRR 467BFBBFBFRLR 468FFFBFBFRRL 469FFBBFFFLRL 470FFFFBBBLLL 471FBBFBFFRRR 472BFFBFBFLLL 473BFFFFFFRLL 474BFBBBBBRLR 475FBBBFBFLRR 476BFBBBFFLLR 477BFBBBBBRRL 478FFBBBFFLLL 479BFBFBFFLLR 480FBFBFBFRLR 481FBBFBBFRRR 482BFFBBFFRRR 483FFFFFFBRLR 484FBBFBFBLRL 485FFBFFBFRRR 486FFBFFFBLLL 487FBBFBBBRLR 488BFBFBBBRLR 489BBFBFFBLRR 490FBFFBFBRRL 491FBFBFBBLRL 492FFBBBFBRLR 493BFBFFBBRRL 494FFBBFFBRRL 495FBFFFFFRLL 496BFBBBBFRLL 497BBFFFFBLRR 498FBBBFBFRRL 499FBFBFFBRLR 500FFFFBFBRRR 501FBFFBBFLRR 502BFFFBFBRLR 503BFBBFBFRLL 504FBBBFFFRRR 505FFBFBBFRRL 506FBBBFFFLLL 507FBBFBFBLLR 508FFFFBFFRRR 509FFFFBBFLLL 510BFFBFBFRLL 511FFBFBFBLLR 512BFFBFFFRRR 513BBFBFFFLLL 514FBFFFFFLLL 515FFFBBBBRLL 516FFBBFBBLLR 517FBFFFFBLLL 518BFBBBBFLLR 519FFFBBFBRRR 520BBFBFBFLLL 521BFBBFFFRRL 522BFBFFBBLRL 523FBFBBFFRRL 524FFFBBBBRLR 525FBFFFFBLLR 526FFFBBBFLLL 527BFBBFFBRLR 528FFBFBBFLLR 529BBFBFFBRLL 530FBFBBFBLLR 531BFBFFFBLRL 532FFFFBBFLRL 533BBFFFBFRLL 534FBBBFFBRLL 535BFFFBFFRRL 536BFBFBBFRRL 537FBFBFBBRLR 538FFFFFBBRLL 539BFBFFFBRRL 540BFFFFBBRLR 541FBFFBBBRLL 542FFBFFBBRLR 543BFFBFBBRRR 544BBFFFBFLRL 545FBFFFBFLLR 546FBBFFFFRLR 547BFFFBFBLRL 548FFBFBBFLLL 549BFFFFFBLLR 550FFBBFBBRRL 551FBFBBBBLLR 552BFFBBFBRLL 553BBFFBBFLLL 554FFBFFBBRLL 555FFBBBFBLLR 556BBFBFBFLRL 557BFFFBBBLRL 558FBBFBBBLRL 559FBBFBFFRRL 560BFBFFBBRLL 561FFBBBBBLRL 562FFBBBBFLLL 563BFBBBFBLRR 564FFFBFBFRRR 565BFBBBBBLLR 566FFBBFFBLLL 567BFBBBBFLLL 568FBBBFBFRLR 569FFBFFFFLLR 570BBFFBBBRRL 571BFFBBFFRLL 572BFFBBBBLRL 573BFBFBFFRRR 574FFBFBBFRLR 575BBFFBBFRLR 576BFFFBBBLLR 577BFBFFBFRRL 578FFFFFBFLLL 579FBFFBBBRRL 580BFBFBBFLLL 581BFFFFFBLRL 582FBBBFBBLLL 583FFBBFFBRRR 584FFFBBFFLLR 585BFBFFBFLRL 586FFBFFFBRLR 587FBFFFBFRLL 588BFFFFFFLLR 589BFFBBBFRRR 590FFBFBFFRLR 591BBFFBFBRLL 592FFFBFBFRLL 593BBFFFBFRLR 594BFFBFFBLLL 595FFBFBBFRRR 596BFBFFBFRLL 597FBBBBFFRLR 598FFBFBFBRLL 599BFFBFBBLLR 600FBFFBFFRLL 601FFBFBBBRRL 602FBFBBFBLRR 603FBBFFBFRRR 604FFBFBFFRRR 605BBFFFFFLRL 606FBBBFFBLLR 607FBFBFBFRLL 608BBFFFFFRLR 609FBBBBFBRRR 610BBFFFFFRRR 611FFFBFFFLLR 612BFBFBBBLRL 613FBFBBBBLRR 614BBFFFBFLLR 615BFBBFBBLRL 616BFFBFBFRLR 617BFFBBFBRRL 618BFFBFFBRLL 619FFBFFFBRLL 620FFBBFFFRLL 621FBFBFFFLRL 622FBBFBBBLLL 623BFFBFFFLLL 624FBFFFFFLRR 625BFBFBBBRLL 626FBFFBBBLLL 627FFFBBFFRLL 628FFBFFFFRRR 629FFBBBBFLRL 630FFBFFBFRLL 631FFBBFFFRRR 632BFBBBBBLLL 633FFFBBFFLLL 634BFBBBFFRLR 635FBFFBBBLRL 636BFBBFFBLRL 637FBBFBFFLLL 638FFFBFFFLLL 639FBBBFBBRRL 640FFFBFBFLRR 641BFBBFFBLLR 642FFBFBFBRRR 643BFBFBBBLLL 644FBFBFBBRRL 645BFFFBBBRLL 646FBFBFFBRLL 647FBFFBBFRRL 648BFFFBBBRRR 649FFFFBFFRLR 650BFBBFBFRRR 651BFBBBBBRLL 652FBBBFBBRLR 653FFBFFFBLRR 654BBFFFFFLLL 655FFBFBFFLRL 656BFBFFBFRRR 657BBFFBBFRLL 658FFBBBFBLLL 659BFFFFFBLRR 660FBBBBBBLLL 661BFFBFFFLLR 662FFBFBFFLRR 663BFBBBBBLRR 664FBBFBFBRLL 665BFBBBBFRRR 666BBFFFFBLLL 667BFFBFFBLLR 668FBFBFBBLLR 669BFFFFFBRRR 670FBBFBFFRLR 671FBFFBBFLRL 672FBFFBBBLLR 673FFBBFFBRLR 674FFBFFFFLRL 675FBBBFBBRRR 676FFBFBBBRLL 677BFBFFFBLLR 678BFBFFBFLLL 679FFFBBFFRRL 680FBBFFBBRRR 681FFFFBBBLLR 682BFBFFFBRLL 683BFBFFFFLLL 684BFFBFFFRRL 685FBBFFBFLLR 686FBFFBBBRRR 687FFFFBFBRRL 688BFFFFBFLLR 689FFFBFFFLRR 690BFBBFBFRRL 691FFFFBFBLLR 692FBBFBFBLRR 693FFFBBBFRRR 694FFFBBBBLRL 695FBFFFFBRRL 696BFBBFFBRRR 697FFBFFFFLRR 698FFBBFFFRLR 699BFBFFFBLRR 700FFBBFBFLLR 701FFBBFFFLLL 702BFFFBFBRRL 703FFBBBFFRLR 704FBFBFBFRRR 705FFFFFBBLLL 706BBFFBBFLLR 707FBFBFBFLRR 708BBFFFFFRRL 709BFBBFBBLRR 710FBBBBBFLRR 711BFFBBFFLRL 712BBFBFFFRRL 713FBFFBFFRLR 714FBFBFFBLRR 715FBBBFBFLRL 716FFFBBBBLRR 717BBFFFBBRRR 718FFBBBBFLRR 719BBFFBBBRRR 720FBFBFBFLRL 721BBFFBBBLRL 722BFBBFBBRLR 723FBBBFBFLLL 724BFFBFBBLRL 725BFFFFFFRRR 726BFFBBBFLLL 727FFBFBBFLRR 728FFFBFFBRLL 729FBBFFFBLLR 730FFBBBFFLRL 731BFBFBFBLRL 732BFBFFFBLLL 733FFBBBFFRRL 734BBFFBBBRLR 735BFBFFFFLLR 736BFFFBBBRRL 737BBFFBFBRLR 738BFFFBFBLLL 739BFFFBFFLLL 740BFBFFBFLRR 741BFFBBFBRLR 742BBFFBBFRRL 743BFBBFBBRLL 744FFBBBBBRRR 745BFBBBFBRRR 746FBFFBBFRRR 747BBFFBFBLLL 748BFFFFBBRRR 749FBBFBBBRRL 750BFFBBBFLLR 751BFBFBFBRRL 752FFBBFFFRRL 753BFFBBFFLLL 754FBBBBFFRRR 755BBFFFBFLRR 756BBFFFFFLRR 757FBFFFBBLLL 758FBBBFFFRLR 759FBBBFFFLRL 760BFFBBBFLRL 761FFBFBBBRLR 762FFBFFBFLRL 763FBFBFBFLLL 764FBBBBFFLLR 765BFFFFFFLLL 766FFFBBBFLRR 767FBBBFBBLRL 768FBBBBFBRLL 769BFBBBFFLRL 770BBFFBFFRLL 771BBFFFFFLLR 772FBBFBFBRRR 773FBFBBFFRRR 774BFFBBBFRLL 775BFFFFBFRLR 776FFBFBFBLRL 777FFFFBBFRRL 778FFFFFFBRRL 779FFFBFFBLRL 780BFFBBBBRLL 781FBFBBFBLRL 782BBFFFBBRLL 783FBFFBFBRLL 784FFBBBBBRLL 785FFBFBBFLRL 786FFFFFBBRLR 787FFBBFBFLLL 788FFFFFFBLRR 789BBFFFBFRRR 790FBBFFFBRLL 791FFFFBBBLRL 792BFFFFBFLRR 793BBFBFBFLLR 794BFFFFBFRRL 795BFBBFFFLLL 796FBFFBFBRRR 797BFFFBBFRLL 798BFFFFBBLRL 799FFFBBBFRRL 800FBFFFBFRRR 801FFBBBFFRLL 802BFBFFBBLLL 803BFBFBBBRRL 804BFFFFBFLRL 805FBBFBBBRRR 806FBBFBBFLRL 807FBBBFBBLRR 808FBBBFFBRRR 809BBFFBFBLRR 810FFBBBFFLLR 811BFBFBFFLLL 812FFBBFFBLLR 813FBFBBFFRLL 814FBBFFBFLRL 815FFBFBFBLRR 816FFFBBFBLLR 817FFBBFFBLRL 818BFBBBBBRRR 819BFBFBBFRLL 820FFBBFFFLLR 821FFBBFFBRLL 822FFFBBBFRLR 823BFFFBFFLRR 824BFFBFBBRLR 825BBFFBBBLLL 826FBFBFFBLLR 827FFFBBFFRRR 828BBFBFFFLLR 829FBBFBFFRLL 830FFBBFBBRLL 831FBBBFBFRLL 832BFBBFBBRRL 833BFBFFFFRLL 834BFFFBBBLRR 835FFBBBBBLRR 836BBFFFBBRLR 837BFFBBBFRRL 838BBFFBFBLRL 839BFFBBBBRRL