Python/maths/Binary_Exponentiation.py
PatOnTheBack 30061ecae3 Improved Formatting and Style
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2019-07-05 10:48:16 -04:00

28 lines
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Python

"""Binary Exponentiation."""
# Author : Junth Basnet
# Time Complexity : O(logn)
def binary_exponentiation(a, n):
if (n == 0):
return 1
elif (n % 2 == 1):
return binary_exponentiation(a, n - 1) * a
else:
b = binary_exponentiation(a, n / 2)
return b * b
try:
BASE = int(input('Enter Base : '))
POWER = int(input("Enter Power : "))
except ValueError:
print("Invalid literal for integer")
RESULT = binary_exponentiation(BASE, POWER)
print("{}^({}) : {}".format(BASE, POWER, RESULT))