Q15: Analyze the time complexity of the below powering code. This code shows the divide and conquer approach as T(n)-aT(n/b) + O(1). Prove what T(n) is by the master theorem through identifying the case of the below code with a and b. a Python3 program to calculate pow(x,n) la Function to calculate x raised to the power y |def power(x, y): if (y == 0): return 1 elif (int(y x 2) == 0): return (power(x, int(y / 2)) power (x, int (y / 2))) else: return (x• power(x, int(y/ 2)) . power (x, int(y / 2))) * Driver Code x - 2; y = 3 print(power(x, y))
Q15: Analyze the time complexity of the below powering code. This code shows the divide and conquer approach as T(n)-aT(n/b) + O(1). Prove what T(n) is by the master theorem through identifying the case of the below code with a and b. a Python3 program to calculate pow(x,n) la Function to calculate x raised to the power y |def power(x, y): if (y == 0): return 1 elif (int(y x 2) == 0): return (power(x, int(y / 2)) power (x, int (y / 2))) else: return (x• power(x, int(y/ 2)) . power (x, int(y / 2))) * Driver Code x - 2; y = 3 print(power(x, y))
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
Problem 22PE
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![Q15: Analyze the time complexity of the below powering code. This code shows the divide and conquer
approach as T(n)=aT(n/b) + O(1). Prove what T(n) is by the master theorem through identifying the case
of the below code with a and b.
Python3 program to calculate pow(x,n)
Function to calculate x
# raised to the power y
def power(x, y):
if (y == 0): return 1
elif (int(y X 2) == 0):
return (power(x, int(y / 2))
power(x, int (y / 2)))
else:
return (x• power(x, int(y / 2))
power(x, int(y / 2)))
# Driver Code
x = 2; y = 3
print(power(x, y))
ANS:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3570164-4b18-440c-8c4b-9050a2bbc405%2Fae892a16-ff6b-4603-bd6d-b1de3f32b046%2Fhsrri4d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q15: Analyze the time complexity of the below powering code. This code shows the divide and conquer
approach as T(n)=aT(n/b) + O(1). Prove what T(n) is by the master theorem through identifying the case
of the below code with a and b.
Python3 program to calculate pow(x,n)
Function to calculate x
# raised to the power y
def power(x, y):
if (y == 0): return 1
elif (int(y X 2) == 0):
return (power(x, int(y / 2))
power(x, int (y / 2)))
else:
return (x• power(x, int(y / 2))
power(x, int(y / 2)))
# Driver Code
x = 2; y = 3
print(power(x, y))
ANS:
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