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Lecture 3 Induction & Sort(1)

Lecture 3 Induction & Sort(1). Algorithm design techniques: induction Selection sort, Insertion sort, Shell sort. ROADMAP. Algorithm design techniques: induction Permutation Majority element Radix sort Selection sort, Insertion sort, Shell sort ... Proofs and comparisons.

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Finding the Majority Element

Finding the Majority Element. Section 5.7. Definition. An integer x in the array A[1..n] is the majority element iff x appears more than ? n/2 ? times in A, that is at least ? n/2 ? if n is odd ? n/2 ? + 1 = ? n/2 ? + 1 if n is even. Theorem.

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Majority element - PowerPoint PPT Presentation

Lecture 3 Induction &amp; Sort(1)

Finding the Majority Element

Lecture 3 Induction & Sort(1)