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Chapter 4: Divide and Conquer

The Design and Analysis of Algorithms. Chapter 4: Divide and Conquer. Master Theorem, Mergesort, Quicksort, Binary Search, Binary Trees. Chapter 4. Divide and Conquer Algorithms. Basic Idea Merge Sort Quick Sort Binary Search Binary Tree Algorithms Closest Pair and Quickhull

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490 views • 28 slides

Recurrence Relations

Recurrence Relations. Overview Connection to recursive algorithms Techniques for solving them Methods for generating a guess Induction proofs Master Theorem. Recursion and Mathematical Induction. In both, we have general and boundary conditions:

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1k views • 27 slides

Recurrence: Master Theorem

Recurrence: Master Theorem. T(n) = aT(n/b) + f (n) where f (n)=c n k a < b k T(n) ~ n k a = b k T(n) ~ n k log b n a > b k T(n) ~ n log b a. Derivation of Master Theorem. Recurrence relation: T(n) = aT(n/b) + f(n)

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1.35k views • 8 slides

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Nlog b - PowerPoint PPT Presentation

Chapter 4: Divide and Conquer

Recurrence Relations

Recurrence: Master Theorem