while j >= 0 and 1st [j] <= t: # Loop 2 1st[j] j p = p * j - 1 j = j + 1 if i i > m: m = i j return m (a) Find, with proof, an upper bound on the worst-case running time of long prod. Show your work. Upper bound must match the lower bound from the next part.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
icon
Related questions
Question
Consider the following algorithm.
def long_prod(1st: list, t: int) -> int:
''' Return the maximum length of any slice of lst whose product is at most t.
1
2
3
Preconditions: t > 0; lst is non-empty; every element of lst is positive.
4
# max length found so far
for i in range(1, len(lst) + 1):
5
m = 0
# Loop 1
7
= i - 1
# product of lst[j+1:i]
1st[j] <= t:
8
p = 1
while j >= 0 and p *
# Loop 2
* 1st[j]
%3D
10
j
j
if i -
11
12
= j + 1
13
i > m:
14
m
i
j
15
return m
(a) Find, with proof, an upper bound on the worst-case running time of long prod. Show
your work. Upper bound must match the lower bound from the next part.
Transcribed Image Text:Consider the following algorithm. def long_prod(1st: list, t: int) -> int: ''' Return the maximum length of any slice of lst whose product is at most t. 1 2 3 Preconditions: t > 0; lst is non-empty; every element of lst is positive. 4 # max length found so far for i in range(1, len(lst) + 1): 5 m = 0 # Loop 1 7 = i - 1 # product of lst[j+1:i] 1st[j] <= t: 8 p = 1 while j >= 0 and p * # Loop 2 * 1st[j] %3D 10 j j if i - 11 12 = j + 1 13 i > m: 14 m i j 15 return m (a) Find, with proof, an upper bound on the worst-case running time of long prod. Show your work. Upper bound must match the lower bound from the next part.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY