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
题目描述：统计从矩阵左上角到右下角的路径总数，每次只能向右或者向下移动
分析：先举例再总结规律，第一列的路径只能有一条，第一行同理。dp[1][1] 就有两条，上面一条，左边一条。所以得到公式 dp[i][j]=dp[i-1][j]+dp[i][j-1]
