What is the solution of the divide-and-conquer recurrence equation: T(n) = 343T\left(\frac{n}{7}\right) + O\left(n^{3}(\log n)^{1.5}\right)T(n)=343T(7n​)+O(n3(logn)1.5) ?

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
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What is the solution of the divide-and-conquer recurrence equation: T(n) = 343T\left(\frac{n}{7}\right) + O\left(n^{3}(\log n)^{1.5}\right)T(n)=343T(7n​)+O(n3(logn)1.5) ?

What is the solution of the divide-and-conquer recurrence equation:
T(n) = 343T () +0 (n°(log n)L5) ?
O (n) = 0 (n° (log n)1.5)
O T(n) = 0 (n3 (log n)-5)
O T(n) = 0 (nº)
O T(n) = 0 (n³ log n)
O (n) = 0 (n³13 (log n)")
= 0 (n343 (log n)2.)
3.5
343
O T(n)
O T(n) = 0 (n43 log n)
O T(n) – 0 (n43 (log n)1.5)
O (n) = 0 (n35)
O T(n) = 0 (n°(log n)25)
O (n) = 0 (n° (log n)")
O (n) = 0 (nt3)
O None of the above answers are correct
Transcribed Image Text:What is the solution of the divide-and-conquer recurrence equation: T(n) = 343T () +0 (n°(log n)L5) ? O (n) = 0 (n° (log n)1.5) O T(n) = 0 (n3 (log n)-5) O T(n) = 0 (nº) O T(n) = 0 (n³ log n) O (n) = 0 (n³13 (log n)") = 0 (n343 (log n)2.) 3.5 343 O T(n) O T(n) = 0 (n43 log n) O T(n) – 0 (n43 (log n)1.5) O (n) = 0 (n35) O T(n) = 0 (n°(log n)25) O (n) = 0 (n° (log n)") O (n) = 0 (nt3) O None of the above answers are correct
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