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g0001_0100.s0062_unique_paths.readme.md Maven / Gradle / Ivy

62\. Unique Paths

Medium

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:**

![](https://assets.leetcode.com/uploads/2018/10/22/robot_maze.png)

**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`