mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-18 09:10:16 +00:00
60 lines
1.5 KiB
Python
60 lines
1.5 KiB
Python
"""
|
|
== Automorphic Numbers ==
|
|
A number n is said to be a Automorphic number if
|
|
the square of n "ends" in the same digits as n itself.
|
|
|
|
Examples of Automorphic Numbers: 0, 1, 5, 6, 25, 76, 376, 625, 9376, 90625, ...
|
|
https://en.wikipedia.org/wiki/Automorphic_number
|
|
"""
|
|
|
|
# Author : Akshay Dubey (https://github.com/itsAkshayDubey)
|
|
# Time Complexity : O(log10n)
|
|
|
|
|
|
def is_automorphic_number(number: int) -> bool:
|
|
"""
|
|
# doctest: +NORMALIZE_WHITESPACE
|
|
This functions takes an integer number as input.
|
|
returns True if the number is automorphic.
|
|
>>> is_automorphic_number(-1)
|
|
False
|
|
>>> is_automorphic_number(0)
|
|
True
|
|
>>> is_automorphic_number(5)
|
|
True
|
|
>>> is_automorphic_number(6)
|
|
True
|
|
>>> is_automorphic_number(7)
|
|
False
|
|
>>> is_automorphic_number(25)
|
|
True
|
|
>>> is_automorphic_number(259918212890625)
|
|
True
|
|
>>> is_automorphic_number(259918212890636)
|
|
False
|
|
>>> is_automorphic_number(740081787109376)
|
|
True
|
|
>>> is_automorphic_number(5.0)
|
|
Traceback (most recent call last):
|
|
...
|
|
TypeError: Input value of [number=5.0] must be an integer
|
|
"""
|
|
if not isinstance(number, int):
|
|
msg = f"Input value of [number={number}] must be an integer"
|
|
raise TypeError(msg)
|
|
if number < 0:
|
|
return False
|
|
number_square = number * number
|
|
while number > 0:
|
|
if number % 10 != number_square % 10:
|
|
return False
|
|
number //= 10
|
|
number_square //= 10
|
|
return True
|
|
|
|
|
|
if __name__ == "__main__":
|
|
import doctest
|
|
|
|
doctest.testmod()
|