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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.
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LeetCode ProblemMinimum 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.
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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
LeetCodeMinimum Number of Vertices to Reach All Nodes
Related Topics
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How Phantom Code Helps
Get real-time assistance for Minimum Number of Vertices to Reach All Nodes problems during coding interviews. Phantom Code 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 Helps with LeetCode Problems
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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
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Platform Compatibility
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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.
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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 during coding interviews.
How does Phantom Code help me solve coding problems like Minimum Number of Vertices to Reach All Nodes 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 Vertices to Reach All Nodes?
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 Vertices to Reach All Nodes?
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 Vertices to Reach All Nodes 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 Vertices to Reach All Nodes 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 Vertices to Reach All Nodes 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 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 work for the coding platforms used in Minimum Number of Vertices to Reach All Nodes 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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