Section 15.6 claims that by picking a pivot that always discards at least a fixed fraction (c)
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Section 15.6 claims that by picking a pivot that always discards at least a fixed fraction \(c\) of the remaining array, the resulting algorithm will be linear. Explain why this is true. Hint: The Master Theorem (Theorem 14.1) might help you.
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Theorem 14.1 (The Master Theorem) For any recurrance relation of the form T(n)=aT(n/b) + cnk, T(1)=c, the following relationships hold. T(n)= = (nlog, a) (nk log n) (nk) if a > fk ifa bk if a
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Related Book For
Practical Introduction To Data Structures And Algorithm Analysis Java Edition
ISBN: 9780136609117
1st Edition
Authors: Clifford A. Shaffer
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