Package g1701_1800.s1733_minimum_number_of_people_to_teach

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    1733 - Minimum Number of People to Teach.

    Medium

    On a social network consisting of m users and some friendships between users, two users can communicate with each other if they know a common language.

    You are given an integer n, an array languages, and an array friendships where:

    • There are n languages numbered 1 through n,

    • languages[i] is the set of languages the <code>i<sup>th</sup></code> user knows, and

    • <code>friendshipsi = u<sub>i</sub>, v<sub>i</sub></code> denotes a friendship between the users <code>u<sub>i</sub></code> and <code>v<sub>i</sub></code>.

    You can choose one language and teach it to some users so that all friends can communicate with each other. Return the minimum number of users you need to teach.

    Note that friendships are not transitive, meaning if x is a friend of y and y is a friend of z, this doesn't guarantee that x is a friend of z.

    Example 1:

    Input: n = 2, languages = \[\[1],2,1,2], friendships = \[\[1,2],1,3,2,3]

    Output: 1

    Explanation: You can either teach user 1 the second language or user 2 the first language.

    Example 2:

    Input: n = 3, languages = \[\[2],1,3,1,2,3], friendships = \[\[1,4],1,2,3,4,2,3]

    Output: 2

    Explanation: Teach the third language to users 1 and 3, yielding two users to teach.

    Constraints:

    • 2 &lt;= n &lt;= 500

    • languages.length == m

    • 1 &lt;= m &lt;= 500

    • 1 &lt;= languages[i].length &lt;= n

    • 1 &lt;= languages[i][j] &lt;= n

    • <code>1 <= u<sub>i</sub>< v<sub>i</sub><= languages.length</code>

    • 1 &lt;= friendships.length &lt;= 500

    • All tuples <code>(u<sub>i,</sub> v<sub>i</sub>)</code> are unique

    • languages[i] contains only unique values

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Integer minimumTeachings(Integer n, Array<IntArray> languages, Array<IntArray> friendships)

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait