Question 2: Recurrences a) Jonsider the the pseudo-code below for the recursive algorithm Test Rec(A. s. f), which takes is input an array A, indexed between s and f. Test Rec(A, s. f) if s + 2 91 = [] 92= [¹] Test Rec(A, s, q1) MergeSort (A, q1+1,92-1) Test Rec(A, q2, f) • Does this algorithm correctly sort the input array A? • Write the recurrence for the runtime T(n) of Test Ree when run on an array of size n. Determine the runtime of the algorithm using Master Method. Show the runtime is O(n log n) using the recursion tree.
Question 2: Recurrences a) Jonsider the the pseudo-code below for the recursive algorithm Test Rec(A. s. f), which takes is input an array A, indexed between s and f. Test Rec(A, s. f) if s + 2 91 = [] 92= [¹] Test Rec(A, s, q1) MergeSort (A, q1+1,92-1) Test Rec(A, q2, f) • Does this algorithm correctly sort the input array A? • Write the recurrence for the runtime T(n) of Test Ree when run on an array of size n. Determine the runtime of the algorithm using Master Method. Show the runtime is O(n log n) using the recursion tree.
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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![Question
2: Recurrences
(a)
Consider the the pseudo-code below for the recursive algorithm Test Rec(4. s. f), which takes
as input an array A, indexed between s and f.
Test Rec(A, s. f)
if s + 2 <f
91 = []
92= [¹+¹/
Test Rec(A, s, q1).
MergeSort (A, q1+1,42-1)
Test Rec(A, q2. f)
• Does this algorithm correctly sort the input array A?
• Write the recurrence for the runtime T(n) of Test Ree when run on an array of size n.
Determine the runtime of the algorithm using Master Method.
Show the runtime is O(n log n) using the recursion tree.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e2005cb-c51b-49dd-a7c9-1e64cb2e4e1b%2F2aba2db5-e95e-4803-8c13-a30d203ae3f7%2F0t0hhvv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question
2: Recurrences
(a)
Consider the the pseudo-code below for the recursive algorithm Test Rec(4. s. f), which takes
as input an array A, indexed between s and f.
Test Rec(A, s. f)
if s + 2 <f
91 = []
92= [¹+¹/
Test Rec(A, s, q1).
MergeSort (A, q1+1,42-1)
Test Rec(A, q2. f)
• Does this algorithm correctly sort the input array A?
• Write the recurrence for the runtime T(n) of Test Ree when run on an array of size n.
Determine the runtime of the algorithm using Master Method.
Show the runtime is O(n log n) using the recursion tree.
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