Number of Unique Paths to Go from Top Left to Bottom Right
A robot is located at the top-left corner of a m x n grid.
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?
Example 1:
Input: m = 2, n = 3
Output: 3
Explanation:
From the top-left corner, there are a total of 3 ways to reach the bottom-right corner:
-
Right -> Right -> Down
-
Right -> Down -> Right
-
Down -> Right -> Right
Example 2:
Input: m = 5, n = 3
Output: 15
Try it yourself
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