Minimum time to finish project | Minimum Time to Complete All Tasks | Graph + DP + Topological Sort
UI_Mastery
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Minimum time to finish project | Minimum Time to Complete All Tasks | Graph + DP + Topological Sort
65 просмотров · 11 дней назад
UI_Mastery
2 подписчика
65 просмотров · 11 дней назад
URL: https://www.geeksforgeeks.org/problem...
How do you find the minimum time required to complete a project when multiple tasks can run in parallel but have dependencies? 🚀
In this DSA tutorial, we'll solve the *Minimum Time to Complete All Modules* problem using **Graph Algorithms, Topological Sort (Kahn's Algorithm), and Dynamic Programming in JavaScript**.
You'll learn:
✅ How to identify the critical path in a dependency graph
✅ Why the answer is the longest dependency path, not the sum of all durations
✅ How to calculate the earliest completion time using DP
✅ How to detect cycles in a directed graph
✅ How to solve the problem efficiently in O(V + E) time
📌 *Topics covered:*
Graphs in JavaScript
Topological Sorting
Kahn's Algorithm (BFS)
Dynamic Programming on DAGs
Critical Path Method
Cycle Detection in Directed Graphs
DSA Interview Preparation
*Time Complexity:* O(V + E)
*Space Complexity:* O(V + E)
If you're preparing for coding interviews and want to improve your problem-solving skills, watch the complete explanation and try implementing the solution yourself.
👍 Like the video if it helped you understand the approach.
💬 Comment below if you have questions or want me to explain another DSA problem.
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#DSA #GraphAlgorithms #JavaScript #TopologicalSort #dynamicprogramming
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