mirror of
https://github.com/prdlk/leetcode.git
synced 2026-11-02 13:12:44 +00:00
55 lines
1.7 KiB
Plaintext
55 lines
1.7 KiB
Plaintext
---
|
|
title: '62. Unique Paths'
|
|
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
|
|
icon: dot
|
|
topics:
|
|
- { name: "Math", slug: "math" }
|
|
- { name: "Dynamic Programming", slug: "dynamic-programming" }
|
|
- { name: "Combinatorics", slug: "combinatorics" }
|
|
issue: "https://github.com/prdlk/leetcode/issues/166"
|
|
companies:
|
|
- { name: "Ola Cabs", period: "Thirty Days", frequency: 65.6 }
|
|
- { name: "Amazon", period: "Thirty Days", frequency: 48.9 }
|
|
- { name: "Google", period: "Thirty Days", frequency: 29 }
|
|
- { name: "Microsoft", period: "Three Months", frequency: 48.3 }
|
|
- { name: "Bloomberg", period: "Three Months", frequency: 36.8 }
|
|
- { name: "Meta", period: "Three Months", frequency: 34.5 }
|
|
- { name: "Goldman Sachs", period: "Six Months", frequency: 44.8 }
|
|
sidebar:
|
|
label: 'Unique Paths'
|
|
badge: 'Medium'
|
|
---
|
|
|
|
### 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`
|
|
|
|
## Solution
|
|
|
|
```py
|
|
class Solution:
|
|
def uniquePaths(self, m: int, n: int) -> int:
|
|
dp = [[0 for _ in range(n)] for _ in range(m)]
|
|
|
|
for c in range(n):
|
|
dp[0][c] = 1
|
|
|
|
for r in range(m):
|
|
dp[r][0] = 1
|
|
|
|
for r in range(1, m):
|
|
for c in range(1, n):
|
|
dp[r][c] = dp[r - 1][c] + dp[r][c - 1]
|
|
|
|
return dp[-1][-1]
|
|
```
|