0%

Problem 82


Problem 82


Path sum: three ways

NOTE: This problem is a more challenging version of Problem 81.

The minimal path sum in the 5 by 5 matrix below, by starting in any cell in the left column and finishing in any cell in the right column, and only moving up, down, and right, is indicated in red and bold; the sum is equal to 994.

         
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 left column to the right column.


路径和:三个方向

注意:这是第81题的一个更具挑战性的版本。

在如下的5乘5矩阵中,从最左栏任意一格出发,始终只向右、向上或向下移动,到最右栏任意一格结束的最小路径和为994,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,求出从最左栏到最右栏的最小路径和。