Problem 81


Problem 81


Path sum: two ways

In the 5 by 5 matrix below, the minimal path sum from the top left to the bottom right, by only moving to the right and down, is indicated in bold red and is equal to 2427.

         
131 673 234 103 18
201 96 342 965 150
630 803 746 422 111
537 699 497 121 956
805 732 524 37 331

Find the minimal path sum, in matrix.txt (right click and “Save Link/Target As…”), a 31K text file containing a 80 by 80 matrix, from the top left to the bottom right by only moving right and down.


路径和:两个方向

在如下的5乘5矩阵中,从左上方到右下方始终只向右或向下移动的最小路径和为2427,由标注红色的路径给出。

         
131 673 234 103 18
201 96 342 965 150
630 803 746 422 111
537 699 497 121 956
805 732 524 37 331

在这个31K的文本文件matrix.txt(右击并选择“目标另存为……”)中包含了一个80乘80的矩阵,求出从该矩阵的左上方到右下方始终只向右和向下移动的最小路径和。