unique-paths


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Points: 3
Time limit: 30.0s
Memory limit: 250M

Problem type
Allowed languages
Python

There is a robot on an m x n grid. The robot is initially located at the top-left corner (i.e., grid[0][0]). The robot tries to move to the bottom-right corner (i.e., grid[m - 1][n - 1]). The robot can only move either down or right at any point in time.

Given the two integers m and n, return the number of possible unique paths that the robot can take to reach the bottom-right corner.

The test cases are generated so that the answer will be less than or equal to 2 * 10⁹.

  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

  Constraints:

1 <= m, n <= 100

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