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How to Solve Minimum Number of People to Teach Problem

Master the Minimum Number of People to Teach LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.

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Medium#1733

LeetCode Problem

Minimum Number of People to Teach

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: 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.

ArrayHash TableGreedy

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Problem Breakdown

Understanding the Minimum Number of People to Teach Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

MediumProblem #1733

LeetCode

Minimum Number of People to Teach

How Phantom Code Helps

Get real-time assistance for Minimum Number of People to Teach problems during coding interviews. Phantom Code provides instant solutions and explanations.

Examples

# Example 1

Input

n = 2, languages = [[1],[2],[1,2]], friendships = [[1,2],[1,3],[2,3]]

Output

# Example 2

Input

n = 3, languages = [[2],[1,3],[1,2],[3]], friendships = [[1,4],[1,2],[3,4],[2,3]]

Output

Constraints

2 <= n <= 500

languages.length == m

1 <= m <= 500

1 <= languages[i].length <= n

1 <= languages[i][j] <= n

1 <= ui < vi <= languages.length

1 <= friendships.length <= 500

All tuples (ui, vi) are unique

languages[i] contains only unique values

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Solve Minimum Number of People to Teach — On a social network consisting of m users and some friendships between users, tw...

Here's the optimal approach using Array:

def solve(input):

# Optimal O(n) solution

return result

Time: O(n) | Space: O(n)

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Undetectability Checklist

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Platform Compatibility

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HackerRank

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CodeSignal

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Undetectability and technical details

Our native desktop architecture avoids common detection vectors used by browser extensions. We provide a clear checklist so you can run basic checks and confirm the app will be invisible.

Platform compatibility and limitations

We work with Zoom, HackerRank, CodeSignal, CoderPad and other web-based platforms. Check the compatibility note and request a browser link if a specific desktop app is unsupported.

Frequently Asked Questions

Common questions about solving Minimum Number of People to Teach and using Phantom Code during coding interviews.

How does Phantom Code help me solve coding problems like Minimum Number of People to Teach during interviews?

Phantom Code generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.

What if the interviewer asks follow-up questions or modifications to problems like Minimum Number of People to Teach?

Phantom Code adapts in real-time. Screenshot the modified problem or use audio mode to capture the interviewer's follow-up, and get an updated solution within seconds — including edge cases and optimizations.

Can Phantom Code help me communicate my solution for problems like Minimum Number of People to Teach?

Yes. Phantom Code provides step-by-step approach explanations with 3 progressive thoughts, so you can walk through your solution naturally. It also provides time and space complexity analysis to discuss trade-offs.

How does Phantom Code assist with different programming languages for Minimum Number of People to Teach type problems?

Phantom Code supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.

What coding mistakes does Phantom Code help me avoid during Minimum Number of People to Teach interviews?

Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.

Is Phantom Code detectable when solving problems like Minimum Number of People to Teach during live interviews?

No. Phantom Code runs as an invisible desktop overlay that doesn't appear in screen shares, recordings, or proctoring software. It works with Zoom, HackerRank, CodeSignal, CoderPad, and all major platforms.

How does Phantom Code help when I'm struggling with Minimum Number of People to Teach style questions under pressure?

The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.

Does Phantom Code work for the coding platforms used in Minimum Number of People to Teach interviews?

Yes. Phantom Code works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.

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