64-minimum-path-sum.cpp

class Solution {
public:
    int minPathSum(vector<vector<int>>& grid) {
        int n = grid.size(), m = grid[0].size();
        vector<vector<int>> dp(n, vector<int>(m, 0));
        dp[0][0] = grid[0][0];
        
        for (int i = 1; i < n; i++) dp[i][0] = dp[i-1][0] + grid[i][0];
        for (int i = 1; i < m; i++) dp[0][i] = dp[0][i-1] + grid[0][i];
        
        for (int i = 1; i < n; i++) 
            for (int j = 1; j < m; j++) 
                dp[i][j] = grid[i][j] + min(dp[i][j-1], dp[i-1][j]);
        
        return dp[n-1][m-1];
    }
};