DP

64. Minimum Path Sum

public class Solution {
    public int MinPathSum(int[][] grid) {
        int m = grid.Length, n = grid[0].Length;
        int[,] dp = new int[m, n];
        dp[0, 0] = grid[0][0];
        for (int i = 1; i < m; i++) {
            dp[i, 0] = dp[i - 1, 0] + grid[i][0];
        }
        for (int i = 1; i < n; i++) {
            dp[0, i] = dp[0, i - 1] + grid[0][i];
        }
        for (int i = 1; i < m; i++) {
            for (int j = 1; j < n; j++) {
                dp[i, j] = grid[i][j] + Math.Min(dp[i - 1, j], dp[i, j - 1]);
            }
        }
        return dp[m - 1, n - 1];
    }
}



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