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How to Solve Parallel Courses II Problem
Master the Parallel Courses II LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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LeetCode ProblemParallel Courses II
You are given an integer n, which indicates that there are n courses labeled from 1 to n. You are also given an array relations where relations[i] = [prevCoursei, nextCoursei], representing a prerequisite relationship between course prevCoursei and course nextCoursei: course prevCoursei has to be taken before course nextCoursei. Also, you are given the integer k. In one semester, you can take at most k courses as long as you have taken all the prerequisites in the previous semesters for the courses you are taking. Return the minimum number of semesters needed to take all courses. The testcases will be generated such that it is possible to take every course.
Dynamic ProgrammingBit ManipulationGraphBitmask
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Problem Breakdown
Understanding the Parallel Courses II Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given an integer n, which indicates that there are n courses labeled from 1 to n. You are also given an array relations where relations[i] = [prevCoursei, nextCoursei], representing a prerequisite relationship between course prevCoursei and course nextCoursei: course prevCoursei has to be taken before course nextCoursei. Also, you are given the integer k. In one semester, you can take at most k courses as long as you have taken all the prerequisites in the previous semesters for the courses you are taking. Return the minimum number of semesters needed to take all courses. The testcases will be generated such that it is possible to take every course.
HardProblem #1494
LeetCodeParallel Courses II
Related Topics
Dynamic ProgrammingBit ManipulationGraphBitmask
How Phantom Code Helps
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Examples
# Example 1
Input
n = 4, relations = [[2,1],[3,1],[1,4]], k = 2
Output
3
# Example 2
Input
n = 5, relations = [[2,1],[3,1],[4,1],[1,5]], k = 2
Output
4
Constraints
1 <= n <= 15
1 <= k <= n
0 <= relations.length <= n * (n-1) / 2
relations[i].length == 2
1 <= prevCoursei, nextCoursei <= n
prevCoursei != nextCoursei
All the pairs [prevCoursei, nextCoursei] are unique.
The given graph is a directed acyclic graph.
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Solve Parallel Courses II — You are given an integer n, which indicates that there are n courses labeled fro...
Here's the optimal approach using Dynamic Programming:
def solve(input):
# Optimal O(n) solution
return result
Time: O(n) | Space: O(n)
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Frequently Asked Questions
Common questions about solving Parallel Courses II and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Parallel Courses II 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 Parallel Courses II?
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 Parallel Courses II?
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 Parallel Courses II 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 Parallel Courses II 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 Parallel Courses II 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 Parallel Courses II 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 Parallel Courses II 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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