Wiki Article · Cinematic

Binary Search

Overview

Binary Search — Quick Facts

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Property: Value

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Full Name: Binary Search (Half-Interval…

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Type: Search Algorithm (Divide and…

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Input Requirement: Sorted array / collection…

Topic 1

Lead

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Linear search (ek ek check): worst…

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Binary search: worst case ~30…

Topic 2

Properties Table

💡 | Property | Value | |---|---| | Full Name | Binary Search (Half-Interval Search /…

Topic 3

How Binary Search Works

🎯 Example Walkthrough Sorted array: [2, 5, 8, 12, 16, 23, 38, 56, 72, 91] (10 elements,…

Topic 4

Binary Search Flowchart

⭐ `mermaid flowchart TD A["🔍 START<br/>low = 0, high = n-1"] --> B{"low <= high?"} B…

Topic 5

Iterative vs Recursive

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Calculate mid = low + (high - low)…

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If arr[mid] == target: return mid…

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If arr[mid] < target: low = mid +…

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If arr[mid] > target: high = mid -…

Topic 6

Complexity Analysis

✨ Why O(log n)? Har step me search space half hota hai: $$n \to \frac{n}{2} \to \frac{n}{4}…

Topic 7

Variations

🌟 1. Lower Bound (First Occurrence) Standard binary search koi bhi matching index return…

Topic 8

Real-World Applications

🚀 | # | Application | How Binary Search Used | |---|---|---| | 1 | Database Indexing |…

Topic 9

Edge Cases & Pitfalls

📚 | # | Pitfall | Detail | Solution | |---|---|---|---| | 1 | Integer overflow | (low +…

Topic 10

Common Mistakes

💡 | # | Mistake | Why It's Wrong | Fix | |---|---|---|---| | 1 | Using binary search on…

Topic 11

Best Practices

🎯 | # | Practice | Detail | |---|---|---| | 1 | Use library functions | Standard library…

Topic 12

Interview Q&As

⭐ Q1: Binary search kya hai aur kaise kaam karta hai? A: Binary search ek O(log n) search…

Topic 13

Glossary

🔑 | # | Term | Meaning | |---|---|---| | 1 | Binary Search | O(log n) search algorithm for…

Comparison

Iterative vs Recursive

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Approach: While loop with low/high…

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Space: O(1) — no extra stack frames

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Stack Overflow Risk: None

Diagram

Visual Flow

📊 Diagram visualization — details in narration

Quick Quiz

Quiz — Question 1

Binary Search ka 'Full Name' kya hai?

Complete! 🎉

Binary Search Complete!

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