Count submatrices 3x3 with all digits 1, 2, ...,9 X63887
Given a matrix with digits 1, 2, …, 9, you must count how many submatrices of size 3× 3 of the given matrix contain all different digits 1, 2, …, 9.
Input
The input has several cases. Each one starts with two positive natural numbers n, m in the first line. Afterwards comes a matrix of size n× m with digits 1, 2, …, 9 (n lines with m digits each).
Output
For each case, the program must write in a new line the number of submatrices 3× 3 inside of which all digits 1, 2, …, 9 appear.
Observation
There is no need to optimize this problem. Any reasonably efficient implementation will pass.
Evaluation over 10 points:
- Passes public test cases: 5 points.
- Passes public and private test cases: 10 points.
Public test cases
Input
3 3 284 379 516 2 3 568 657 7 5 19847 36269 74513 96812 14736 32594 96812 2 6 111137 367687 1 3 647 12 3 389 571 624 754 361 829 457 893 621 475 639 281 7 6 728738 631924 954651 619853 473291 689674 251434 4 1 1 3 2 8 8 6 563647 489823 127519 463476 895614 938927 574583 216272 9 12 923936738927 714541521658 568728946341 932837671279 816717885981 475942586438 748196371741 326324196856 159758252932 8 12 485369419783 162123743645 379451885219 887694628435 521924259768 734581948459 986736367132 729122215786 7 3 963 725 184 412 675 938 142 5 3 289 573 146 893 527 4 4 1275 4834 5691 1275 3 10 5825239638 1674148275 4931675149 2 1 3 3 11 3 685 123 749 658 123 984 657 845 217 936 458 12 7 9346874 8262392 1578561 3691478 8243751 7587932 9429486 3613517 7587627 1429539 5374184 8963857 1 3 748 5 7 5246273 6383518 1971964 5625281 4384735 1 11 67748253494
Output
1 0 8 0 0 6 8 0 9 24 19 3 2 4 6 0 6 21 0 7 0
Input
4 19 2686421479639762971 3751576365295341791 1498398128341283583 8623241479678686426 5 10 6253547831 3189389576 7495621942 6251475831 1383983756 15 10 5146514219 5892857819 1971396326 4854639457 2632157182 8578975963 3213468475 9649231286 8125471753 6741965941 3952832813 7683617637 8954954184 6712739259 2348167815 15 11 53297347172 46151851358 98742692469 19517437271 87435816468 36283775953 85769138261 91424574945 67889381387 32571626563 79577543891 68326136472 24162848598 89757951236 35614359174 3 9 462374976 315465814 978912325 13 10 5176892848 3621541578 4893473693 3829298241 1973749319 4562696752 7841852486 6397543137 9432628592 8619719361 2758467473 4393182586 8162793192 15 14 46784329654869 35139574729172 82941861832534 38676597249239 79848234756786 41271549813541 56359762492913 92648813712415 84723411465392 51382978398768 26958567256145 64272392174682 92435169496714 87697487832539 35182325715862 16 20 87978515975325386359 12463972484951975614 56312463821676421278 79851851963823589395 47243457547216352416 81651825363591976188 39567964764864283947 49332489139359563136 76515832581277319258 21821295349315943862 34925646276862865715 92787389815293592439 58614934517547183155 41353483849816428698 66926925623265935712 44781757915478712435 19 10 8531593462 2648728251 9713641976 3859218348 9426659617 6173347259 5323858241 9482699538 5241741679 3793587369 1685192547 5376436821 4693267382 8218853195 3754912476 3729467613 9548944937 8613255826 4297163154 4 11 28192795719 95433656345 37618419826 99282795719 5 6 247585 631258 589631 728479 855127 19 4 1541 9327 7685 5941 6723 4317 7694 5285 8167 7349 2596 8612 1688 9429 7356 8718 6942 3525 8711 20 5 26492 39863 71571 93243 75695 41871 62365 75947 41218 38637 79549 26397 78168 94524 97937 83561 94284 61793 15156 49284 18 6 137266 689349 425186 174527 613613 728975 945675 678934 213218 428765 396169 571425 762837 835961 941743 276958 538327 491614 9 14 89392326587687 98148159462419 43756784319352 56293581587547 89287437426874 45795692137532 31632186529619 29418793684827 87597524317354 14 5 14519 73874 59263 64159 78371 37637 28428 95195 47386 86247 45875 72943 13612 45875 10 9 578441371 419526732 632698546 981241923 372893871 465675461 832839829 719574573 276421633 421389379 7 5 54328 98197 27654 92344 64531 82762 31984 8 13 5672617578152 9839182424683 2145863935947 5672696414364 2839175357951 1493218262815 2751379714369 3682564531427 20 6 978612 132378 654594 271375 496286 385419 546976 918231 237548 456197 462825 891463 573596 965491 342852 871376 596491 378587 412362 596491
Output
14 11 31 31 5 27 38 60 37 8 5 13 22 22 27 19 15 7 22 27