d. What are the sizes of each of the sub-problems tackled in the conquer phase? e. Name the line number(s) where the combine is taking place. f. Is this algorithm in-place? If yes, justify your answer. If no, determine the amount of extra space needed per recursive call. g. Write down the recurrence associated with the run-time complexity of the given algorithm.
d. What are the sizes of each of the sub-problems tackled in the conquer phase? e. Name the line number(s) where the combine is taking place. f. Is this algorithm in-place? If yes, justify your answer. If no, determine the amount of extra space needed per recursive call. g. Write down the recurrence associated with the run-time complexity of the given algorithm.
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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Please answer d,e,f,g
Transcribed Image Text:a. Name the line number(s) where the base case takes place.
b. Name the line number(s) where the divide phase is taking place.
c. Name the line numer(s) where the conquer phase is taking place.
d. What are the sizes of each of the sub-problems tackled in the conquer phase?
e. Name the line number(s) where the combine is taking place.
f. Is this algorithm in-place? If yes, justify your answer. If no, determine the amount of extra space needed per recursive call.
g. Write down the recurrence associated with the run-time complexity of the given algorithm.
![You are given the following divide and conquer algorithm whose output you are not required to determine. Treat k here as a parameter that is in 0(1).
line 0: DC(A[a_p,...,a_r], k)
line 1: n <-- length(A)
line 2: if n == k
line 3:
return A[p..p+k-1]
line 4: else // Define two arrays/sequences A1 and A2 each of length n/2
line 5:
for i = 1 to n/2
Line 6:
do A1[i] <-- A[i]
Line 7:
A2[i] <-- A[n/2 + 1]
line 8:
for i = 1 to n/2
line 9:
do for j = i+1 to n/2
line 10:
do if A1[i] == A2[j]
line 11:
then A2[j] <-- 0
line 12:
b1<- DC(A1[1,...n/2], k)
line 13:
b2 <-- DC(A2[1,..,n/2], k)
line 14:
return max(b1,b2)
a. Name the line number(s) where the base case takes place.
Activate Windows
b. Name the line number(s) where the divide phase is taking place.
Go to Settings to activate](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50e30cbf-ae33-4f5a-8582-fb8d92a0b23b%2F8dbc8e57-8845-428f-abcc-324a385f15e8%2Ffou5tyl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You are given the following divide and conquer algorithm whose output you are not required to determine. Treat k here as a parameter that is in 0(1).
line 0: DC(A[a_p,...,a_r], k)
line 1: n <-- length(A)
line 2: if n == k
line 3:
return A[p..p+k-1]
line 4: else // Define two arrays/sequences A1 and A2 each of length n/2
line 5:
for i = 1 to n/2
Line 6:
do A1[i] <-- A[i]
Line 7:
A2[i] <-- A[n/2 + 1]
line 8:
for i = 1 to n/2
line 9:
do for j = i+1 to n/2
line 10:
do if A1[i] == A2[j]
line 11:
then A2[j] <-- 0
line 12:
b1<- DC(A1[1,...n/2], k)
line 13:
b2 <-- DC(A2[1,..,n/2], k)
line 14:
return max(b1,b2)
a. Name the line number(s) where the base case takes place.
Activate Windows
b. Name the line number(s) where the divide phase is taking place.
Go to Settings to activate
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