Python/maths/binary_exponentiation.py
Saksham Chawla 89a65a8617
Add typing to binary_exponentiation.py (#9471)
* Add typing to binary_exponentiation.py

* Update binary_exponentiation.py

* float to int division change as per review
2023-10-02 10:29:06 -04:00

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617 B
Python

"""Binary Exponentiation."""
# Author : Junth Basnet
# Time Complexity : O(logn)
def binary_exponentiation(a: int, n: int) -> int:
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
if __name__ == "__main__":
try:
BASE = int(input("Enter Base : ").strip())
POWER = int(input("Enter Power : ").strip())
except ValueError:
print("Invalid literal for integer")
RESULT = binary_exponentiation(BASE, POWER)
print(f"{BASE}^({POWER}) : {RESULT}")