mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-27 23:11:09 +00:00
076193eefa
* feat: Add pronic number implementation * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
55 lines
1.3 KiB
Python
55 lines
1.3 KiB
Python
"""
|
|
== Pronic Number ==
|
|
A number n is said to be a Proic number if
|
|
there exists an integer m such that n = m * (m + 1)
|
|
|
|
Examples of Proic Numbers: 0, 2, 6, 12, 20, 30, 42, 56, 72, 90, 110 ...
|
|
https://en.wikipedia.org/wiki/Pronic_number
|
|
"""
|
|
|
|
# Author : Akshay Dubey (https://github.com/itsAkshayDubey)
|
|
|
|
|
|
def is_pronic(number: int) -> bool:
|
|
"""
|
|
# doctest: +NORMALIZE_WHITESPACE
|
|
This functions takes an integer number as input.
|
|
returns True if the number is pronic.
|
|
>>> is_pronic(-1)
|
|
False
|
|
>>> is_pronic(0)
|
|
True
|
|
>>> is_pronic(2)
|
|
True
|
|
>>> is_pronic(5)
|
|
False
|
|
>>> is_pronic(6)
|
|
True
|
|
>>> is_pronic(8)
|
|
False
|
|
>>> is_pronic(30)
|
|
True
|
|
>>> is_pronic(32)
|
|
False
|
|
>>> is_pronic(2147441940)
|
|
True
|
|
>>> is_pronic(9223372033963249500)
|
|
True
|
|
>>> is_pronic(6.0)
|
|
Traceback (most recent call last):
|
|
...
|
|
TypeError: Input value of [number=6.0] must be an integer
|
|
"""
|
|
if not isinstance(number, int):
|
|
raise TypeError(f"Input value of [number={number}] must be an integer")
|
|
if number < 0 or number % 2 == 1:
|
|
return False
|
|
number_sqrt = int(number**0.5)
|
|
return number == number_sqrt * (number_sqrt + 1)
|
|
|
|
|
|
if __name__ == "__main__":
|
|
import doctest
|
|
|
|
doctest.testmod()
|