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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?
Input: m = 3, n = 7 Output: 28
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 -> Down -> Down 2. Down -> Down -> Right 3. Down -> Right -> Down
Input: m = 7, n = 3 Output: 28
Input: m = 3, n = 3 Output: 6
1 <= m, n <= 100
- It's guaranteed that the answer will be less than or equal to
2 * 109.