Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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A1.1.6 (a) create the recursive function BinaryGCd (a,b) based on the following pseudo code
# recursive pseudo-code
def BinaryGCF (a,b):
arrange order so ab
if a=0:
if a and b are even:
else if a is even:
else if b is even:
else:
done, b is GCF
GCF (a,b) = 2*GCF (a/2, b/2)
GCF (a,b) = GCF (a/2, b)
GCF (a,b)
GCF (a,b)
In [ ]: def BinaryGCF (a,b):
GCF (a,b/2)
GCF (a,b-a)
(b) demonstrate that it gives the same results as pfGCD (a,b) and EuclidGCD (a, b) from A1.5.
"enter the recursive code below"
for a,b in [(660,350), (99,53), (30,84)]:
# demonstrate all GCD functions give the same result
13
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Transcribed Image Text:A1.1.6 (a) create the recursive function BinaryGCd (a,b) based on the following pseudo code # recursive pseudo-code def BinaryGCF (a,b): arrange order so ab if a=0: if a and b are even: else if a is even: else if b is even: else: done, b is GCF GCF (a,b) = 2*GCF (a/2, b/2) GCF (a,b) = GCF (a/2, b) GCF (a,b) GCF (a,b) In [ ]: def BinaryGCF (a,b): GCF (a,b/2) GCF (a,b-a) (b) demonstrate that it gives the same results as pfGCD (a,b) and EuclidGCD (a, b) from A1.5. "enter the recursive code below" for a,b in [(660,350), (99,53), (30,84)]: # demonstrate all GCD functions give the same result 13
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