Python/maths/binary_exponentiation.py
2019-07-11 11:16:42 +02:00

28 lines
545 B
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))