Cody

# Problem 1699. Find last zero for each column

Solution 275427

Submitted on 8 Jul 2013 by Dan
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### Test Suite

Test Status Code Input and Output
1   Pass
%% a = 0; z_correct = 1; assert(isequal(lastzerorow(a),z_correct))

ans = 1

2   Pass
%% a = 1; z_correct = 0; assert(isequal(lastzerorow(a),z_correct))

ans = 0

3   Pass
%% a = randi(1000,1000,1); z_correct = 0; assert(isequal(lastzerorow(a),z_correct))

ans = 0

4   Pass
%% a = [0;1;0;2;0;3;0;4;0;5;0;6;0;7;0;8;0;9;0;10]; z_correct = 19; assert(isequal(lastzerorow(a),z_correct))

ans = 19

5   Pass
%% n = randi(1000); a = tril(ones(n)); z_correct = 0:n-1; assert(isequal(lastzerorow(a),z_correct))

ans = Columns 1 through 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Columns 17 through 32 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Columns 33 through 48 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 Columns 49 through 64 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 Columns 65 through 80 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 Columns 81 through 96 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 Columns 97 through 112 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 Columns 113 through 128 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 Columns 129 through 144 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 Columns 145 through 160 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 Columns 161 through 176 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 Columns 177 through 192 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 Columns 193 through 208 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 Columns 209 through 224 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 Columns 225 through 240 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 Columns 241 through 256 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 Columns 257 through 272 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 Columns 273 through 288 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 Columns 289 through 304 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 Columns 305 through 320 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 Columns 321 through 336 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 Columns 337 through 352 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 Columns 353 through 368 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 Columns 369 through 384 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 Columns 385 through 400 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 Columns 401 through 416 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 Columns 417 through 432 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 Columns 433 through 448 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 Columns 449 through 464 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 Columns 465 through 480 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 Columns 481 through 496 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 Columns 497 through 512 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 Columns 513 through 528 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 Columns 529 through 544 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 Columns 545 through 560 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 Columns 561 through 576 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 Columns 577 through 592 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 Columns 593 through 608 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 Columns 609 through 624 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 Columns 625 through 640 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 Columns 641 through 656 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 Columns 657 through 672 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 Columns 673 through 688 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 Columns 689 through 704 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 Columns 705 through 720 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 Columns 721 through 736 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 Columns 737 through 752 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 Columns 753 through 768 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 Columns 769 through 784 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 Columns 785 through 800 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 Columns 801 through 816 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 Columns 817 through 832 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 Columns 833 through 842 832 833 834 835 836 837 838 839 840 841

6   Pass
%% n = randi(1000); a = tril(ones(n),-1); z_correct = 1:n; assert(isequal(lastzerorow(a),z_correct))

ans = Columns 1 through 16 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Columns 17 through 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 Columns 33 through 48 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 Columns 49 through 64 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 Columns 65 through 80 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 Columns 81 through 96 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 Columns 97 through 112 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 Columns 113 through 128 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 Columns 129 through 144 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 Columns 145 through 160 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 Columns 161 through 167 161 162 163 164 165 166 167

7   Pass
%% n = randi(1000); d = randi(n-1); a = tril(ones(n),-d); z_correct = min((0:n-1)+d,n); assert(isequal(lastzerorow(a),z_correct))

ans = Columns 1 through 16 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 Columns 17 through 32 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 Columns 33 through 48 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 Columns 49 through 64 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 Columns 65 through 80 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 Columns 81 through 96 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 Columns 97 through 112 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 Columns 113 through 128 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 Columns 129 through 144 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 Columns 145 through 160 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 Columns 161 through 176 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 Columns 177 through 192 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 Columns 193 through 208 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 Columns 209 through 224 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 Columns 225 through 240 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 Columns 241 through 256 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 Columns 257 through 272 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 Columns 273 through 288 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 Columns 289 through 304 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 Columns 305 through 320 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 Columns 321 through 336 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 Columns 337 through 352 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 Columns 353 through 368 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 Columns 369 through 384 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 Columns 385 through 400 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 Columns 401 through 416 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 Columns 417 through 432 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 Columns 433 through 448 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 Columns 449 through 464 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 Columns 465 through 480 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 Columns 481 through 496 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 Columns 497 through 512 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 Columns 513 through 528 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 Columns 529 through 544 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 Columns 545 through 560 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 Columns 561 through 576 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 Columns 577 through 592 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 Columns 593 through 608 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 Columns 609 through 624 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 Columns 625 through 640 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 Columns 641 through 656 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 Columns 657 through 672 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 Columns 673 through 688 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 Columns 689 through 704 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 Columns 705 through 720 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 Columns 721 through 736 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 Columns 737 through 752 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 Columns 753 through 768 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 Columns 769 through 784 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 Columns 785 through 800 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 Columns 801 through 816 895 896 897 898 899 900 901 902 903 904 904 904 904 904 904 904 Columns 817 through 832 904 904 904 904 904 904 904 904 904 904 904 904 904 904 904 904 Columns 833 through 848 904 904 904 904 904 904 904 904 904 904 904 904 904 904 904 904 Columns 849 through 864 904 904 904 904 904 904 904 904 904 904 904 904 904 904 904 904 Columns 865 through 880 904 904 904 904 904 904 904 904 904 904 904 904 904 904 904 904 Columns 881 through 896 904 904 904 904 904 904 904 904 904 904 904 904 904 904 904 904 Columns 897 through 904 904 904 904 904 904 904 904 904

8   Pass
%% a = magic(10)-1; z_correct = [0 0 1 0 0 0 0 0 0 0]; assert(isequal(lastzerorow(a),z_correct))

ans = 0 0 1 0 0 0 0 0 0 0

9   Pass
%% a = [0 0 9 0; 0 0 1 8; 0 0 4 0; 0 0 2 3; 0 6 7 5]; z_correct = [5 4 0 3]; assert(isequal(lastzerorow(a),z_correct))

ans = 5 4 0 3

10   Pass
%% a = [0 0 0 0 -4 0 0 0 0; 0 0 0 -3 -3 -3 0 0 0; 0 0 -2 3 -2 2 2 0 0; 0 -1 2 -1 1 -1 -1 1 0]; z_correct = [4 3 2 1 0 1 2 3 4]; assert(isequal(lastzerorow(a),z_correct))

ans = 4 3 2 1 0 1 2 3 4