README_EN.md

1434. Number of Ways to Wear Different Hats to Each Other

中文文档

Description

There are n people and 40 types of hats labeled from 1 to 40.

Given a list of list of integers hats, where hats[i] is a list of all hats preferred by the i-th person.

Return the number of ways that the n people wear different hats to each other.

Since the answer may be too large, return it modulo 10^9 + 7.

 

Example 1:

Input: hats = [[3,4],[4,5],[5]]

Output: 1

Explanation: There is only one way to choose hats given the conditions. 

First person choose hat 3, Second person choose hat 4 and last one hat 5.

Example 2:

Input: hats = [[3,5,1],[3,5]]

Output: 4

Explanation: There are 4 ways to choose hats

(3,5), (5,3), (1,3) and (1,5)

Example 3:

Input: hats = [[1,2,3,4],[1,2,3,4],[1,2,3,4],[1,2,3,4]]

Output: 24

Explanation: Each person can choose hats labeled from 1 to 4.

Number of Permutations of (1,2,3,4) = 24.

Example 4:

Input: hats = [[1,2,3],[2,3,5,6],[1,3,7,9],[1,8,9],[2,5,7]]

Output: 111

 

Constraints:

• n == hats.length
• 1 <= n <= 10
• 1 <= hats[i].length <= 40
• 1 <= hats[i][j] <= 40
• hats[i] contains a list of unique integers.

Solutions

Python3

Java

...