Assuming that adding two Fibonacci numbers takes O(1) time, show that algorithm TFib takes O(n) time. Algorithm Fibonacci with Table Lookup. AssumeF is a sufficiently large array with all values set to Null, except F0) =0 and F1] =1. 1 def TFIB(n): if Fn) = Null: Fin] - TFIB(n– 1) + TFIB(n – 2) 2: return Fn) di

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
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Question 1
Assuming that adding two Fibonacci numbers takes O(1) time, show that algorithm TFib takes
O(n) time.
Algorithm Fibonacei with Table Lookup. Assume F is a sufficiently large array with all values
set to Null, except F0) = 0 and F[1] = 1.
1: def TFIB(n):
if Fn) = Null:
Fn] + TFIB(n – 1) + TFIB(n – 2)
return Fn)
2:
4:
Transcribed Image Text:Question 1 Assuming that adding two Fibonacci numbers takes O(1) time, show that algorithm TFib takes O(n) time. Algorithm Fibonacei with Table Lookup. Assume F is a sufficiently large array with all values set to Null, except F0) = 0 and F[1] = 1. 1: def TFIB(n): if Fn) = Null: Fn] + TFIB(n – 1) + TFIB(n – 2) return Fn) 2: 4:
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