Unique Paths

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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?


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 table[m][n];                for(int i=0;i<m;i++)            table[i][0] = 1;                         for(int i=0;i<n;i++)            table[0][i] = 1;                 for(int i=1;i<m;i++)             for(int j=1;j<n;j++)             {                 table[i][j] = table[i-1][j] + table[i][j-1];             }                return table[m-1][n-1];    }};

没看清题目,只能向右和下走,结果浪费了不少时间