LeetCode:Minimum Path Sum

Minimum Path Sum

Total Accepted: 71367 Total Submissions: 203837 Difficulty: Medium

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.

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 Array Dynamic Programming

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c++ code:

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