Python/maths/krishnamurthy_number.py
Caeden 07e991d553
Add pep8-naming to pre-commit hooks and fixes incorrect naming conventions ()
* ci(pre-commit): Add pep8-naming to `pre-commit` hooks ()

* refactor: Fix naming conventions ()

* Update arithmetic_analysis/lu_decomposition.py

Co-authored-by: Christian Clauss <cclauss@me.com>

* [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

* refactor(lu_decomposition): Replace `NDArray` with `ArrayLike` ()

* chore: Fix naming conventions in doctests ()

* fix: Temporarily disable project euler problem 104 ()

* chore: Fix naming conventions in doctests ()

Co-authored-by: Christian Clauss <cclauss@me.com>
Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
2022-10-13 00:54:20 +02:00

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."
)