Given the following implementations of countWays and countWays2, which of the following are the best approximations for the runtime complexities of countWays and countWay as a function of dist? def countWays(dist): Base cases 1f dist < e: return e 1f dist == e: return 1 return (countWays(dist - 1) + countWays(dist - 2) + countWays(dist - 3)) def countWays2 (dist): count = (0] (dist + 1) count[e] - 1 1f dist >= 1: count[1] - 1 if dist > 2: count[2] - 2 for i in range(3, dist + 1): count[i] - (count[i - 1] + count[i - 2] + count[i - 3]). return count[dist]

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
14. Runtime Complexity
Given the following implementations of countWays and countWays2, which of the following are the best approximations for the runtime complexities of countWays and countWays2
as a function of dist?
def countWays(dist):
# Base cases
if dist < e:
return e
if dist == 0:
return 1
return (countWays(dist - 1) + countWays (dist - 2) +
countWays(dist - 3))
def countWays2(dist):
count = (0] • (dist + 1)
count[e] - 1
if dist > 1:
count[1] - 1
if dist >= 2:
count[2] = 2
for i in range(3, dist + 1):
count[i] = (count[i - 1] + count[i - 2] + count[1 - 3])
return count[dist]
Pick ONE option
O countWays: O(dist), countWays2: O(dist)
O countWays: O(3^dist), countWays2: O(3^dist)
17
OcountWays: O(dist!), countWays2: O(dist!)
18
O countWays: O(3^dist), countWays2: O(dist)
19
Clear Selection
225
backspace
Transcribed Image Text:14. Runtime Complexity Given the following implementations of countWays and countWays2, which of the following are the best approximations for the runtime complexities of countWays and countWays2 as a function of dist? def countWays(dist): # Base cases if dist < e: return e if dist == 0: return 1 return (countWays(dist - 1) + countWays (dist - 2) + countWays(dist - 3)) def countWays2(dist): count = (0] • (dist + 1) count[e] - 1 if dist > 1: count[1] - 1 if dist >= 2: count[2] = 2 for i in range(3, dist + 1): count[i] = (count[i - 1] + count[i - 2] + count[1 - 3]) return count[dist] Pick ONE option O countWays: O(dist), countWays2: O(dist) O countWays: O(3^dist), countWays2: O(3^dist) 17 OcountWays: O(dist!), countWays2: O(dist!) 18 O countWays: O(3^dist), countWays2: O(dist) 19 Clear Selection 225 backspace
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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