Determine the time complexity for f1 and fr:

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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Determine the time complexity for f1 and fr:

1
def f1(n):
2
if n <= 1:
3
return 1
4
else:
return f1(n - 1) + f1(n - 2)
6
7
def fr(n):
[0 for i in range(n + 1)]
for i in range(n + 1):
8
t
9
10
if i <= 1:
11
t[i]
= 1
12
else:
13
t[i]
t[n - 1] + t[n - 2]
14
return t[n]
15
Transcribed Image Text:1 def f1(n): 2 if n <= 1: 3 return 1 4 else: return f1(n - 1) + f1(n - 2) 6 7 def fr(n): [0 for i in range(n + 1)] for i in range(n + 1): 8 t 9 10 if i <= 1: 11 t[i] = 1 12 else: 13 t[i] t[n - 1] + t[n - 2] 14 return t[n] 15
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