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62. Unique Paths (Graph; DP)

时间:2015-10-04 19:33:36      阅读:143      评论:0      收藏:0      [点我收藏+]

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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?

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Above is a 3 x 7 grid. How many possible unique paths are there?

Note: m and n will be at most 100.

class Solution {
public:
    int uniquePaths(int m, int n) {
        int dp[m][n];
        
        dp[0][0] = 1;
        for(int i = 0; i< n; i++ )
        {
            dp[0][i] = 1;
        }
        for(int i = 0; i< m; i++ )
        {
            dp[i][0] = 1;
        }
        
        for(int i = 1; i< m; i++)
        {
            for(int j = 1; j< n; j++)
            {
                dp[i][j] = dp[i-1][j] + dp[i][j-1];
            }
        }
        return dp[m-1][n-1];
    }
};

 

62. Unique Paths (Graph; DP)

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原文地址:http://www.cnblogs.com/qionglouyuyu/p/4854804.html

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