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HomeLeetCode ProblemsMinimum Number of Vertices to Reach All Nodes
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How to Solve Minimum Number of Vertices to Reach All Nodes Problem

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

Phantom Code AI generates complete solutions and debugging hints that you can use while explaining your approach, so you stay calm and in control.

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Medium#1557
LeetCode Problem

Minimum Number of Vertices to Reach All Nodes

Given a directed acyclic graph, with n vertices numbered from 0 to n-1, and an array edges where edges[i] = [fromi, toi] represents a directed edge from node fromi to node toi. Find the smallest set of vertices from which all nodes in the graph are reachable. It's guaranteed that a unique solution exists. Notice that you can return the vertices in any order.

Graph

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Problem Breakdown

Understanding the Minimum Number of Vertices to Reach All Nodes Problem

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

Problem Statement

Given a directed acyclic graph, with n vertices numbered from 0 to n-1, and an array edges where edges[i] = [fromi, toi] represents a directed edge from node fromi to node toi. Find the smallest set of vertices from which all nodes in the graph are reachable. It's guaranteed that a unique solution exists. Notice that you can return the vertices in any order.

MediumProblem #1557
LeetCode

Minimum Number of Vertices to Reach All Nodes

Related Topics

Graph

How Phantom Code AI Helps

Get real-time assistance for Minimum Number of Vertices to Reach All Nodes problems during coding interviews. Phantom Code AI provides instant solutions and explanations.

Examples

# Example 1

Input
n = 6, edges = [[0,1],[0,2],[2,5],[3,4],[4,2]]
Output
[0,3]

# Example 2

Input
n = 5, edges = [[0,1],[2,1],[3,1],[1,4],[2,4]]
Output
[0,2,3]

Constraints

2 <= n <= 10^5
1 <= edges.length <= min(10^5, n * (n - 1) / 2)
edges[i].length == 2
0 <= fromi, toi < n
All pairs (fromi, toi) are distinct.

How Phantom Code AI Helps with LeetCode Problems

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See Phantom Code AI in Action

Watch how Phantom Code AI helps solve LeetCode problems during live interviews

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Solve Minimum Number of Vertices to Reach All Nodes — Given a directed acyclic graph, with n vertices numbered from 0 to n-1, and an a...

Here's the optimal approach using Graph:

def solve(input):
# Optimal O(n) solution
return result

Time: O(n)  |  Space: O(n)

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Undetectability Checklist

Run compatibility test before interviews
Use recommended Zoom version settings
Enable advanced screen capture options
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Platform Compatibility

Zoom
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HackerRank
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CoderPad
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User results and traction

Thousands of developers use Phantom Code AI. Social proof signals that this approach helps real candidates land offers across a range of companies.

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 Vertices to Reach All Nodes and using Phantom Code AI during coding interviews.

How does Phantom Code AI help me solve coding problems like Minimum Number of Vertices to Reach All Nodes during interviews?
Phantom Code AI 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 Vertices to Reach All Nodes?
Phantom Code AI 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 AI help me communicate my solution for problems like Minimum Number of Vertices to Reach All Nodes?
Yes. Phantom Code AI 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 AI assist with different programming languages for Minimum Number of Vertices to Reach All Nodes type problems?
Phantom Code AI 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 AI help me avoid during Minimum Number of Vertices to Reach All Nodes interviews?
Phantom Code AI 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 AI detectable when solving problems like Minimum Number of Vertices to Reach All Nodes during live interviews?
No. Phantom Code AI 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 AI help when I'm struggling with Minimum Number of Vertices to Reach All Nodes 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 AI work for the coding platforms used in Minimum Number of Vertices to Reach All Nodes interviews?
Yes. Phantom Code AI works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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