## Path sum: two ways

### Problem 81

Published on Friday, 22nd October 2004, 06:00 pm; Solved by 16303

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.