57 lines
1.4 KiB
C++
57 lines
1.4 KiB
C++
// Source : https://oj.leetcode.com/problems/minimum-path-sum/
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// Author : Hao Chen
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// Date : 2014-06-21
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/**********************************************************************************
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*
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* Given a m x n grid filled with non-negative numbers, find a path from top left to
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* bottom right which minimizes the sum of all numbers along its path.
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*
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* Note: You can only move either down or right at any point in time.
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*
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**********************************************************************************/
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#include <limits.h>
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#include <iostream>
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#include <vector>
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using namespace std;
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int minPathSum(vector<vector<int> > &grid) {
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if (grid.size()<=0){
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return 0;
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}
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int i, j;
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for(i=0; i<grid.size(); i++){
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for(j=0; j<grid[i].size(); j++){
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int top = i-1<0 ? INT_MAX : grid[i-1][j] ;
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int left = j-1<0 ? INT_MAX : grid[i][j-1];
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if (top==INT_MAX && left==INT_MAX){
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continue;
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}
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grid[i][j] += (top < left? top: left);
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}
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}
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return grid[grid.size()-1][grid[0].size()-1];
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}
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int main()
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{
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int a[6][2]={{7,2},{6,6},{8,6},{8,7},{5,0},{6,0}};
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vector< vector<int> > grid;
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for(int i=0; i<6; i++){
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vector<int> v;
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for(int j=0; j<2; j++){
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v.push_back(a[i][j]);
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}
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grid.push_back(v);
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}
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cout << "minPathSum=" << minPathSum(grid) << endl;
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return 0;
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}
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