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README.md |
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?
Examples
Example 1
Input: m = 3, n = 7
Output: 28
Example 2
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
Example 3
Input: m = 7, n = 3
Output: 28
Example 4
Input: m = 3, n = 3
Output: 6
Constraints
1 <= m, n <= 100
- It's guaranteed that the answer will be less than or equal to
2 * 109
.