Question: 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

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.

Theorem 14.1 (The Master Theorem) For any recurrance relation of the form T(n)=aT(n/b) + cnk, T(1)=c, the

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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