2. Find the solution of the following recurrence equation by repeated substitution method, assuming n = 2¹ for some integer i. if n = 1 (4T(n/2) +n if n ≥ 2 T(n) = {4T (n/2) +

Database System Concepts
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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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2. Find the solution of the following recurrence equation by repeated substitution method, assuming
n = 2¹ for some integer i.
1
T(n) = {4T (n/2) + n il
if n = 1
ifn ≥ 2
3. Use the recursion tree to find the solution of the following recurrence.
T(n)= 4T(n/4) + nª
Transcribed Image Text:2. Find the solution of the following recurrence equation by repeated substitution method, assuming n = 2¹ for some integer i. 1 T(n) = {4T (n/2) + n il if n = 1 ifn ≥ 2 3. Use the recursion tree to find the solution of the following recurrence. T(n)= 4T(n/4) + nª
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