# 345 : 行列計 (\* 表強調)



行と列それぞれで1つのみの要素を選択した場合の要素の合計が最も大きくなるものを, その行列の「行列計( Matrix Sum )」と定義する. 例えば, 下記の行列での行列計は3315になる. ( = 863 + 383 + 343 + 959 + 767) :

| 7   | 53  | 183 | 439 | 863 |
| --- | --- | --- | --- | --- |
| 497 | 383 | 563 | 79  | 973 |
| 287 | 63  | 343 | 169 | 583 |
| 627 | 343 | 773 | 959 | 943 |
| 767 | 473 | 103 | 699 | 303 |

下記行列の行列計を求めよ.

| 7   | 53  | 183 | 439 | 863 | 497 | 383 | 563 | 79  | 973 | 287 | 63  | 343 | 169 | 583 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 627 | 343 | 773 | 959 | 943 | 767 | 473 | 103 | 699 | 303 | 957 | 703 | 583 | 639 | 913 |
| 447 | 283 | 463 | 29  | 23  | 487 | 463 | 993 | 119 | 883 | 327 | 493 | 423 | 159 | 743 |
| 217 | 623 | 3   | 399 | 853 | 407 | 103 | 983 | 89  | 463 | 290 | 516 | 212 | 462 | 350 |
| 960 | 376 | 682 | 962 | 300 | 780 | 486 | 502 | 912 | 800 | 250 | 346 | 172 | 812 | 350 |
| 870 | 456 | 192 | 162 | 593 | 473 | 915 | 45  | 989 | 873 | 823 | 965 | 425 | 329 | 803 |
| 973 | 965 | 905 | 919 | 133 | 673 | 665 | 235 | 509 | 613 | 673 | 815 | 165 | 992 | 326 |
| 322 | 148 | 972 | 962 | 286 | 255 | 941 | 541 | 265 | 323 | 925 | 281 | 601 | 95  | 973 |
| 445 | 721 | 11  | 525 | 473 | 65  | 511 | 164 | 138 | 672 | 18  | 428 | 154 | 448 | 848 |
| 414 | 456 | 310 | 312 | 798 | 104 | 566 | 520 | 302 | 248 | 694 | 976 | 430 | 392 | 198 |
| 184 | 829 | 373 | 181 | 631 | 101 | 969 | 613 | 840 | 740 | 778 | 458 | 284 | 760 | 390 |
| 821 | 461 | 843 | 513 | 17  | 901 | 711 | 993 | 293 | 157 | 274 | 94  | 192 | 156 | 574 |
| 34  | 124 | 4   | 878 | 450 | 476 | 712 | 914 | 838 | 669 | 875 | 299 | 823 | 329 | 699 |
| 815 | 559 | 813 | 459 | 522 | 788 | 168 | 586 | 966 | 232 | 308 | 833 | 251 | 631 | 107 |
| 813 | 883 | 451 | 509 | 615 | 77  | 281 | 613 | 459 | 205 | 380 | 274 | 302 | 35  | 805 |
