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