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// Source : https://oj.leetcode.com/problems/minimum-path-sum/
// Author : Hao Chen
// Date : 2014-06-21
/**********************************************************************************
*
* 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.
*
**********************************************************************************/
#include <limits.h>
#include <iostream>
#include <vector>
using namespace std;
int minPathSum(vector<vector<int> > &grid) {
if (grid.size()<=0){
return 0;
}
int i, j;
for(i=0; i<grid.size(); i++){
for(j=0; j<grid[i].size(); j++){
int top = i-1<0 ? INT_MAX : grid[i-1][j] ;
int left = j-1<0 ? INT_MAX : grid[i][j-1];
if (top==INT_MAX && left==INT_MAX){
continue;
}
grid[i][j] += (top < left? top: left);
}
}
return grid[grid.size()-1][grid[0].size()-1];
}
int main()
{
int a[6][2]={{7,2},{6,6},{8,6},{8,7},{5,0},{6,0}};
vector< vector<int> > grid;
for(int i=0; i<6; i++){
vector<int> v;
for(int j=0; j<2; j++){
v.push_back(a[i][j]);
}
grid.push_back(v);
}
cout << "minPathSum=" << minPathSum(grid) << endl;
return 0;
}
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