Given a m x n grid filled with non-negative numbers, find a path from top left to bottom right which minimizes the sum of all numbers along its path.
Note: You can only move either down or right at any point in time.
public class Solution { public int minPathSum(int[][] grid) { int m = grid.length; int n = grid[0].length; if (m <= 0 || n <= 0) { return 0; } int[][] res = new int[m][n]; res[0][0] = grid[0][0]; for (int i = 1; i < m; i++) { res[i][0] = grid[i][0]+res[i-1][0]; } for (int i = 1; i < n; i++) { res[0][i] = res[0][i-1]+grid[0][i]; } for (int i = 1; i < m; i++) { for (int j = 1; j < n; j++) { if (res[i-1][j] < res[i][j-1]) { res[i][j] = res[i-1][j]+grid[i][j]; } else { res[i][j] = res[i][j-1]+grid[i][j]; } } } return res[m-1][n-1]; } }
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