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Unique Paths

时间:2015-03-06 21:52:07      阅读:373      评论:0      收藏:0      [点我收藏+]

Unique Paths

问题:

A robot is located at the top-left corner of a m x n grid (marked ‘Start‘ in the diagram below).

The robot can only move either down or right at any point in time. The robot is trying to reach the bottom-right corner of the grid (marked ‘Finish‘ in the diagram below).

How many possible unique paths are there?

思路:

  简单的动态规划问题

我的代码:

技术分享
public class Solution {
    public int uniquePaths(int m, int n) {
        if (m == 0 || n == 0) {
            return 0;
        }
        int count[][] = new int[m][n];
        for(int i = 0; i < m; i++)
        {
            count[i][0] = 1;
        }
        for(int j = 0; j < n; j++)
        {
            count[0][j] = 1;
        }
        for(int i = 1; i < m; i++)
        {
            for(int j = 1; j < n; j++)
            {
                count[i][j] = count[i-1][j] + count[i][j-1];
            }
        }
        return count[m-1][n-1];
    }
}
View Code

 

Unique Paths

原文:http://www.cnblogs.com/sunshisonghit/p/4319167.html

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