mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 05:21:09 +00:00
50 lines
1.0 KiB
Python
50 lines
1.0 KiB
Python
"""
|
|
== Krishnamurthy Number ==
|
|
It is also known as Peterson Number
|
|
A Krishnamurthy Number is a number whose sum of the
|
|
factorial of the digits equals to the original
|
|
number itself.
|
|
|
|
For example: 145 = 1! + 4! + 5!
|
|
So, 145 is a Krishnamurthy Number
|
|
"""
|
|
|
|
|
|
def factorial(digit: int) -> int:
|
|
"""
|
|
>>> factorial(3)
|
|
6
|
|
>>> factorial(0)
|
|
1
|
|
>>> factorial(5)
|
|
120
|
|
"""
|
|
|
|
return 1 if digit in (0, 1) else (digit * factorial(digit - 1))
|
|
|
|
|
|
def krishnamurthy(number: int) -> bool:
|
|
"""
|
|
>>> krishnamurthy(145)
|
|
True
|
|
>>> krishnamurthy(240)
|
|
False
|
|
>>> krishnamurthy(1)
|
|
True
|
|
"""
|
|
|
|
fact_sum = 0
|
|
duplicate = number
|
|
while duplicate > 0:
|
|
duplicate, digit = divmod(duplicate, 10)
|
|
fact_sum += factorial(digit)
|
|
return fact_sum == number
|
|
|
|
|
|
if __name__ == "__main__":
|
|
print("Program to check whether a number is a Krisnamurthy Number or not.")
|
|
number = int(input("Enter number: ").strip())
|
|
print(
|
|
f"{number} is {'' if krishnamurthy(number) else 'not '}a Krishnamurthy Number."
|
|
)
|