8. Please just type the answer . Master Theorem requires the which one of the following to be true to be applicable.T(n) = T(n-1) + a*f(n/b) - is the correct form of a Master Theorem Functiona <= 1 | b > 1 must both be true for Master Theorem to be applicable.a*f(n/b) <= c | c < 1.0 must always be true for any Master Theorem case (I, II andIII) to be applicable.a >= 1 | epsilon > 1 must both be true for Master Theorem to be applicable.The value of b must be greater than 1 for Master Theorem to be applicable.

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Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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8. Please just type the answer .

Master Theorem requires the which one of the following to be true to be applicable.
T(n) = T(n-1) + a*f(n/b) - is the correct form of a Master Theorem Function
a <= 1 | b > 1 must both be true for Master Theorem to be applicable.
a*f(n/b) <= c | c < 1.0 must always be true for any Master Theorem case (I, II and
III) to be applicable.
a >= 1 | epsilon > 1 must both be true for Master Theorem to be applicable.
The value of b must be greater than 1 for Master Theorem to be applicable.

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Introduction

The Master Theorem is a mathematical tool used to analyze the time complexity of divide-and-conquer algorithms with a specific form of recurrence relation. It is useful in cases where a problem of size n is divided into subproblems of size n/b, each of which is solved recursively using the same algorithm, and then the solutions of these subproblems are combined in $O (n^{d})$ time, where d is a constant.

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