programming?

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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Please explain

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]
BCA-
Looking at the program fragment, which of these is based on dynamic
programming?
Your answer should be written as: fib1 or fib2
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] BCA- Looking at the program fragment, which of these is based on dynamic programming? Your answer should be written as: fib1 or fib2
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