The Fibonacci sequence is defined as 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,... The first two terms, f[0) and f(1), are equal to 1. Every subsequent term is the sum of the two previous terms. Thus for each n≥2n≥2, we have f(n)=f(n-1)+f(n-2). Here are two Python programs to calculate f(n)f(n). One of these two methods uses bottom-up dynamic programming and one of these two methods uses recursion. But which one is which? def fibi(n): if n<=1: return 1 else: return fib1(n-1)+fib1(n-2) def fib2(n): C- table = [0 for i in range(n+1)] for i in range(n+1): if i<=1: table[i]=1 else: table[i]=table[i-1]+table[i-2] return table[n] For each of our two Fibonacci-calculating algorithms above, we can determine the running time. Here are six statements Here are six statements The following multiple-choice options contain math elements, so you may need to read them in your screen reader's "reading" or "browse" mode instead of "forms" or "focus" mode. Choice 1 of 6: 1. fib1(n) is 2. fib1(n) is 3. fib1(n) is 4. fib1(n) is 5. fib1(n) is 6. fib1(n) is (n2)(n2) and fib2(n) is 0 (n) (n2)(n2) and fib2(n) is (n2)0 (n2) (2n) (2n) and fib2(n) is 0 (n) (2n)e(2n) and fib2(n) is (n2) 0 (n2) (n!) and fib2(n) is 0 (n) (n!) and fib2(n) is 0(n2)

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

Which is the correct choice?

The Fibonacci sequence is defined as 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
The first two terms, f(0) and f(1), are equal to 1. Every subsequent term is the sum of the
two
previous terms. Thus for each n≥2n22, we have f(n)=f(n-1)+f(n-2).
Here are two Python programs to calculate f(n)f(n). One of these two methods uses
bottom-up dynamic programming and one of these two methods uses recursion. But which
one is which?
def fibi(n):
if n<=1: return 1
else: return fib1(n-1)+fib1(n-2)
def fib2(n):
table
C-
[ for i in range(n+1)]
for i in range(n+1):
if i=1: table[i]=1
else: table[i]=table[i-1]+table[i-2]
return table[n]
For each of our two Fibonacci-calculating algorithms above, we can
determine the running time.
Here are six statements
Here are six statements
The following multiple-choice options contain math elements, so you may need to read
them in your screen reader's "reading" or "browse" mode instead of "forms" or "focus"
mode.
Choice 1 of 6:
1. fib1(n) is
2. fib1(n) is
3. fib1(n) is
4. fib1(n) is
5. fib1(n) is
6. fib1(n) is
(n2)(n2) and fib2(n) is 0 (n)
(n2)(n2) and fib2 (n) is (n2)0 (n2)
(2n) (2n) and fib2(n) is 0 (n)
(2n)Ⓒ(2n) and fib2(n) is 0 (n2) Ⓒ (n2)
(n!) and fib2(n) is 0 (n)
(n!) and fib2(n) is 0 (n2)
Transcribed Image Text:The Fibonacci sequence is defined as 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ... The first two terms, f(0) and f(1), are equal to 1. Every subsequent term is the sum of the two previous terms. Thus for each n≥2n22, we have f(n)=f(n-1)+f(n-2). Here are two Python programs to calculate f(n)f(n). One of these two methods uses bottom-up dynamic programming and one of these two methods uses recursion. But which one is which? def fibi(n): if n<=1: return 1 else: return fib1(n-1)+fib1(n-2) def fib2(n): table C- [ for i in range(n+1)] for i in range(n+1): if i=1: table[i]=1 else: table[i]=table[i-1]+table[i-2] return table[n] For each of our two Fibonacci-calculating algorithms above, we can determine the running time. Here are six statements Here are six statements The following multiple-choice options contain math elements, so you may need to read them in your screen reader's "reading" or "browse" mode instead of "forms" or "focus" mode. Choice 1 of 6: 1. fib1(n) is 2. fib1(n) is 3. fib1(n) is 4. fib1(n) is 5. fib1(n) is 6. fib1(n) is (n2)(n2) and fib2(n) is 0 (n) (n2)(n2) and fib2 (n) is (n2)0 (n2) (2n) (2n) and fib2(n) is 0 (n) (2n)Ⓒ(2n) and fib2(n) is 0 (n2) Ⓒ (n2) (n!) and fib2(n) is 0 (n) (n!) and fib2(n) is 0 (n2)
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

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