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Unique Paths

时间:2014-08-15 09:32:38      阅读:278      评论:0      收藏:0      [点我收藏+]

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?

Note: m and n will be at most 100.

public class Solution {
    public int uniquePaths(int m, int n) {
        if(m==1 || n==1) return 1;
        int N=m+n-2;
        double res=1.0;
        //cal N!/(n-1)!*(m-1)!
        for(int i=1;i<=m-1;i++){
            res=res*(n+i-1)/i;
        }
        return (int)res;
    }
}

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Unique Paths

原文:http://blog.csdn.net/dutsoft/article/details/38579857

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