Hey, it’s your favorite cult leader here 🐱👤
On Thursdays, I will send you a problem + its solution. These solutions will help you reinforce your fundamental concepts, improve your problem-solving, and kill those Leetcode-Style Interviews. 🔥🔥💹💹
To get access to all my articles and support my crippling chocolate milk addiction, consider subscribing if you haven’t already!
p.s. you can learn more about the paid plan here.
I got nothing clever to say, so let’s get right into it.
This question can be found as Leetcode 62. Unique Paths.
Problem
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
Keep reading with a 7-day free trial
Subscribe to Technology Made Simple to keep reading this post and get 7 days of free access to the full post archives.