Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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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 fib1(n): if n<=1: return 1 else: return fib1(n-1)+fib1(n-2) def fib2(n): table [ 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] Part b 1 Point To help me figure which algorithm is which, I decided to calculate fib1 (44) and fib2 (44) and was shocked to discover that the running times were so different! Here are two statements. fib1(44) ran in 275.69 seconds and fib2(44) ran in 0.000 seconds fib1 (44) ran in 0.000 seconds and fib2 (44) ran in 275.69 seconds Which of these two statements is correct? Answer either A or B.
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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 fib1(n): if n<=1: return 1 else: return fib1(n-1)+fib1(n-2) def fib2(n): table [ 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] Part b 1 Point To help me figure which algorithm is which, I decided to calculate fib1 (44) and fib2 (44) and was shocked to discover that the running times were so different! Here are two statements. fib1(44) ran in 275.69 seconds and fib2(44) ran in 0.000 seconds fib1 (44) ran in 0.000 seconds and fib2 (44) ran in 275.69 seconds Which of these two statements is correct? Answer either A or B.
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