What is the worst case space complexity of the memoized matrix chain multiplication algorithm shown in lecture? (Pseudocode included for reference) MEMOIZEDMATRIXCHAIN(p, i, j) 1 if i==j return 0 3 if m[i,j] == NIL mli,j] = 0 for k = i to j – 1 q = MEMOIZEDMATRIXCHAIN(p, i, k) +MEMOIZEDMATRIXCHAIN(p, k +1,j)+Pj-1PkPj m[i,] = min(m[i,j], q) 4 6 8 return m[i, ) O O (n²) (u) O O o() O (n log n)
What is the worst case space complexity of the memoized matrix chain multiplication algorithm shown in lecture? (Pseudocode included for reference) MEMOIZEDMATRIXCHAIN(p, i, j) 1 if i==j return 0 3 if m[i,j] == NIL mli,j] = 0 for k = i to j – 1 q = MEMOIZEDMATRIXCHAIN(p, i, k) +MEMOIZEDMATRIXCHAIN(p, k +1,j)+Pj-1PkPj m[i,] = min(m[i,j], q) 4 6 8 return m[i, ) O O (n²) (u) O O o() O (n log n)
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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![What is the worst case space complexity of the memoized matrix chain multiplication algorithm shown in lecture? (Pseudocode included for reference)
MEMOIZEDMATRIXCHAIN(p, i,j)
1 if i ==j
return 0
3 if m[i,j] == NIL
mli, j] = 0
for k = i to j- 1
q = MEMOIZEDMATRIXCHAIN(p, i, k)
+MEMOIZEDMATRIXCHAIN(p, k +1,j)+Pi-1PkPj
m[i, ] = min(m[i,j], q)
4
7
8 return mli, )
O (n°)
O (n)
ㅇ(주)
O (n log n)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd93fae9d-2b5f-4898-82e3-f7d459f08569%2F5f12254f-a8b4-45e3-baa6-f463a0c0373e%2F6v6mswq_processed.png&w=3840&q=75)
Transcribed Image Text:What is the worst case space complexity of the memoized matrix chain multiplication algorithm shown in lecture? (Pseudocode included for reference)
MEMOIZEDMATRIXCHAIN(p, i,j)
1 if i ==j
return 0
3 if m[i,j] == NIL
mli, j] = 0
for k = i to j- 1
q = MEMOIZEDMATRIXCHAIN(p, i, k)
+MEMOIZEDMATRIXCHAIN(p, k +1,j)+Pi-1PkPj
m[i, ] = min(m[i,j], q)
4
7
8 return mli, )
O (n°)
O (n)
ㅇ(주)
O (n log n)
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