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Greedy Algorithm

Greedy algorithm ek algorithm design technique hai jisme har step pe locally optimal choice (us…

Overview

Greedy Algorithm — Quick Facts

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Property: Detail

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Full Name: Greedy Algorithm / Greedy Method

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Category: Algorithm Design Paradigm

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Key Property: Greedy Choice Property + Optimal…

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Infobox

🧮 | Property | Detail | |---|---| | Full Name | Greedy Algorithm / Greedy Method | |…

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Core Properties

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Locally optimal choice (us moment…

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Matlab: pehle step ki best choice…

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Yeh property greedy ko DP se alag…

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Problem ka optimal solution uske…

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Greedy Algorithm kaise kaam karta hai

🔬 `mermaid flowchart TD A[Problem Input] --> B{Candidates<br>available?} B -->|Haan|…

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Real-Life Analogy

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50 (baaki: 43)

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20 (baaki: 23)

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20 (baaki: 3)

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2 (baaki: 1)

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Classic Greedy Problems

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Problem: N activities hain with…

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Greedy strategy: Activities ko end…

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Why it works: Earliest finishing…

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Complexity: O(n log n) — sorting…

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Greedy Problems Comparison Table

📈 | Problem | Greedy Strategy | Sort By | Optimal? | Complexity | |---|---|---|---|---| |…

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Greedy vs Dynamic Programming

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Har greedy-solvable problem DP se…

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Lekin DP-solvable problem greedy…

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Agar greedy proof mil jaaye —…

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When Greedy Works

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Interval/activity scheduling —…

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Minimum spanning tree — Sort by…

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Shortest path — Minimum cost next…

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Huffman-style — Merge smallest…

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When Greedy Fails

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Items: {value: 60, weight: 10},…

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Knapsack capacity: 50

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Greedy (by ratio): Item1 (6.0) +…

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Optimal: Item2 + Item3 = value…

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Proof Techniques

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Assume karo koi optimal solution O…

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Show karo ke O me ek element…

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Repeat — eventually O greedy…

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Conclusion: greedy solution bhi…

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Interview Perspective

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Problem me "maximum/minimum kuch…

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Sorting se natural ordering ban…

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Locally best choice globally best…

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Problem interval scheduling, graph…

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Limitations

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Guaranteed optimal nahi — sirf…

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Correctness proof zaroori — "Lagta…

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No backtracking — ek baar galat…

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Problem identification hard —…

Comparison

Greedy Problems Comparison Table

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Activity Selection: Earliest finish time

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Huffman Coding: Merge lowest frequencies

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Kruskal MST: Lightest edge, no cycle

Comparison

Greedy vs Dynamic Programming

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Approach: Locally optimal choice, move…

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Decision: Irrevocable (no backtrack)

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Subproblems: Doesn't solve all

Diagram

Visual Flow

📊 Diagram visualization — details in narration

Quiz — Question 1

Greedy Algorithm ka sabse sahi definition kya hai?

Quick Quiz

Quiz — Question 2

Greedy Algorithm ka 'Full Name' kya hai?

Complete! 🎉

Greedy Algorithm Complete!

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