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Binary Heap

Overview
🌟

Binary Heap — Quick Facts

📌

Property: Value

🎯

Full Name: Binary Heap (Min-Heap / Max-Heap)

Type: Tree-based Data Structure…

🔑

Category: Data Structures, Priority Queues

Topic 1
📥 ⚙️ 🔬 💡

Lead

📚 Binary heap ek special complete binary tree hai jisme ek important property hoti hai: har…
Topic 2
💡 📊 🔬

Properties Table

💡 | Property | Value | |---|---| | Full Name | Binary Heap (Min-Heap / Max-Heap) | | Type |…
Topic 3
🔒

Heap Property

🎯 | Aspect | Min-Heap | Max-Heap | |---|---|---| | Rule | Parent <= both children | Parent…
Topic 4

Structure — Complete Binary Tree + Array

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Index 0 (90): children = index 1…

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Index 1 (80): children = index 3…

Index 2 (70): children = index 5…

🎯

Saare levels fully filled hain…

Topic 5

Core Operations

🔑 1. Insert (Bubble Up / Sift Up) Process: 1. Naya element array ke end me add karo (next…
Topic 6
📊 🔬

Operations Complexity

| Operation | Time (Average) | Time (Worst) | Space | |---|---|---|---| | Peek (find…
Topic 7

Heapsort

🌟 Heapsort ek sorting algorithm hai jo binary heap use karke sort karta hai. Process: 1.…
Topic 8

Priority Queue — Primary Application

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Insert with priority

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Extract highest (or lowest)…

Topic 9

Binary Heap vs Other Data Structures

📚 | Feature | Binary Heap | BST (Balanced) | Sorted Array | Linked List |…
Topic 10

Applications in Detail

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Maintain min-heap of size K.

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Stream through elements: agar…

Final min-heap contains K largest…

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Time: O(N log K). Space: O(K).

Topic 11

Common Mistakes

🎯 | # | Mistake | Why It's Wrong | Fix | |---|---|---|---| | 1 | Heap = BST maanna | Heap…
Topic 12

Best Practices

| # | Practice | Detail | |---|---|---| | 1 | Use Standard Library | Most languages me…
Topic 13

Interview Q&As

🔑 Q1: Binary heap kya hai? BST se kaise different hai? A: Binary heap ek complete binary…
Topic 14

Glossary

| # | Term | Meaning | |---|---|---| | 1 | Binary Heap | Complete binary tree with heap…
Comparison

Binary Heap vs Other Data Structures

⚖️

Find Min/Max: O(1)

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Insert: O(log n)

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Extract Min/Max: O(log n)

Diagram
📥 ⚙️ 🔬 💡

Visual Flow

📊 Diagram visualization — details in narration
Quick Quiz
🧠 QUIZ TIME

Quiz — Question 1

Binary Heap ka 'Full Name' kya hai?

Complete! 🎉
COMPLETE

Binary Heap Complete!

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