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Skill Topic ยท Cinematic

๐Ÿ“˜ DSA โ€” Topological Sort

Dependencies ko sahi order me lagao โ€” task scheduler ka dil! ๐Ÿ“‹

Overview
๐ŸŒŸ

๐Ÿ“˜ DSA โ€” Topological Sort โ€” Quick Facts

๐Ÿ“Œ

College Concept: Topo Sort Term

๐ŸŽฏ

Subjects: Vertices

โšก

Prerequisites: Directed edges

๐Ÿ”‘

Semester plan: Topological order

Topic 1
๐Ÿ“ฅ ๐Ÿ“ฅ ๐Ÿง  ๐Ÿ”ฌ ๐Ÿ’ก ๐ŸŽฏ

๐ŸŽฏ Real-World Analogy: College Timetable Scheduling ๐ŸŽ“๐Ÿ“‹

๐Ÿ“š Topological sort samajhne ka best tareeqa: college me subjects ka order banana! ๐ŸŽ“ **Pehleโ€ฆ
Topic 2
๐Ÿ’ก

๐Ÿ“Œ 1. Topological Sort Kya Hai?

๐Ÿ’ก **DAG (Directed Acyclic Graph) ke vertices ka linear ordering jahan har edge uโ†’v me uโ€ฆ
Topic 3
๐Ÿ“ฅ โš™๏ธ ๐Ÿ”ฌ ๐Ÿ’ก

๐Ÿ“Œ 2. Kahn's Algorithm (BFS)

๐ŸŽฏ In-degree 0 wale pehle โ€” koi prerequisite nahi toh padh lo! `javascript // โ•โ•โ• Kahn'sโ€ฆ
Topic 4
๐Ÿ“ฅ โš™๏ธ ๐Ÿ”ฌ ๐Ÿ’ก

๐Ÿ“Œ 3. DFS Approach

โญ Deep jaao, jab wapas aao tab add karo โ€” reverse post-order! `javascript // โ•โ•โ• DFSโ€ฆ
Topic 5
๐Ÿ“ฅ ๐Ÿ“ฅ ๐Ÿง  ๐Ÿ”ฌ ๐Ÿ’ก ๐ŸŽฏ

๐Ÿ“Œ 4. Topological Sort Problems

๐Ÿ”‘ `javascript // โ•โ•โ• Course Schedule โ€” Can Finish? โ•โ•โ• function canFinish(numCourses,โ€ฆ
Topic 6
โœจ ๐Ÿ“Š ๐Ÿ”ฌ

๐Ÿ“Œ 5. Longest Path in DAG

โœจ `javascript // โ•โ•โ• Longest Path โ€” Topo Sort + DP โ•โ•โ• function longestPathDAG(n, edges) {โ€ฆ
Topic 7
๐Ÿ”’

๐Ÿ“Œ 6. All Topological Orders

๐ŸŒŸ `javascript // โ•โ•โ• Backtracking โ€” sab valid orderings print โ•โ•โ• functionโ€ฆ
Topic 8
๐Ÿ“ฅ โš™๏ธ ๐Ÿ”ฌ ๐Ÿ’ก

๐Ÿšซ Common Mistakes

๐Ÿš€ | # | Galti โŒ | Sahi Tareeqa โœ… | |---|---|---| | 1 | Cyclic graph pe topo sort | Sirf DAGโ€ฆ
Topic 9
โœจ

๐Ÿ’ช Practice Exercises

๐Ÿ“š | Level | Exercise | Hint | |---|---|---| | ๐ŸŸข Beginner | Kahn's basic topo sort |โ€ฆ
Topic 10
๐Ÿ’ก ๐Ÿ“Š ๐Ÿ”ฌ

๐Ÿ“‹ Summary Table

๐Ÿ’ก | Topic | Key Takeaway | |---|---| | Topo Sort | DAG ka linear order, dependency first |โ€ฆ
Diagram
๐Ÿ“ฅ โš™๏ธ ๐Ÿ”ฌ ๐Ÿ’ก

Visual Flow

๐Ÿ“Š Diagram visualization โ€” details in narration
Diagram
๐Ÿ“ฅ โš™๏ธ ๐Ÿ”ฌ ๐Ÿ’ก

Visual Flow

๐Ÿ“Š Diagram visualization โ€” details in narration
Quick Quiz
๐Ÿง  QUIZ TIME

Quiz โ€” Question 1

๐Ÿ“˜ DSA โ€” Topological Sort ka sabse sahi definition kya hai?

Quick Quiz
๐Ÿง  QUIZ TIME

Quiz โ€” Question 2

๐Ÿ“˜ DSA โ€” Topological Sort ka 'Subjects' kya hai?

Complete! ๐ŸŽ‰
COMPLETE

๐Ÿ“˜ DSA โ€” Topological Sort Complete!

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