Medium
Unique Paths
Medium
0 submissions
25 coins
+100 XP
Dynamic Programming
Math
Problem Description
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 * 10^9`.
**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 = 1, n = 1
Output: 1
**Hint:** Use dynamic programming where `dp[i][j]` = number of paths to cell (i, j) = `dp[i-1][j] + dp[i][j-1]`.
Constraints
- 1 <= m, n <= 100
Need help?
Connect with expert programmers for real-time collaborative coding, video meetings, and whiteboard sessions via CodeConnect.
Video Call
Whiteboard
Live Coding
Screen Share