leetcode62—Unique Paths

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

Note: m and n will be at most 100.

Example 1:

Input: m = 3, n = 2
Output: 3
Explanation:
From the top-left corner, there are a total of 3 ways to reach the bottom-right corner:
1. Right -> Right -> Down
2. Right -> Down -> Right
3. Down -> Right -> Right

Example 2:

Input: m = 7, n = 3
Output: 28

想法：采用动态规划，确立状态转移表达式f(m,n)=f(m-1,n)+f(n-1,m)表示可能性。

class Solution {
public:
    int uniquePaths(int m, int n) {
        int result[m][n];
         ; i < m ; i++){
             ; j < n ; j++){
                 == i ||  == j){
                    result[i][j] = ;
                    continue;
                }
                result[i][j] = result[i-][j] + result[i][j-];
            }
        }
        ][n-];
    }
};

巴特西

leetcode62—Unique Paths

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