Leetcode 62 Unique Paths

2018-01-12 15:04:39 浏览数 (3)

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?

image.pngimage.png

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

Note: m and n will be at most 100.

DP基础题,不多说了,左和上方转移

代码语言:javascript复制
class Solution {
public:
    int uniquePaths(int m, int n) {
        vector<int> row(n 1,0);
        vector<vector<int>> dp(m 1,row);
        dp[0][1]=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][n];
    }
};

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