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ALGORITHM ANALYSIS

Divide and Conquer

Master divide and conquer algorithms including merge sort, quick sort, binary search, and advanced techniques like Strassen's matrix multiplication.

divide-conquermerge-sortquick-sortbinary-searchrecursion

Deck Overview

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●Intermediate
82

Total Cards

~9

Minutes Study Time

intermediate

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Card 1 of 821% complete
Question
What is the divide-and-conquer approach in algorithm design?
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Answer
**Divide-and-conquer** is a problem-solving paradigm that breaks a problem into smaller subproblems of the same type. **Three key steps**: 1. **Divide**: Break the problem into smaller subproblems 2. **Conquer**: Solve subproblems recursively 3. **Combine**: Merge solutions to solve the original problem **Characteristics**: - **Top-down approach**: Starts with large problem, breaks it down - **Recursive structure**: Subproblems are similar to original problem - **Optimal substructure**: Often exhibits optimal solution properties

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