leetcode---Minimum Path Sum---动规

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.

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