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26 changes: 26 additions & 0 deletions trimorphic_number.py
Original file line number Diff line number Diff line change
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"""
A Trimorphic Number is a number whose cube ends in the same digits as the number itself.
For example, 4^3 = 64, which ends in 4.

Reference: https://en.wikipedia.org/wiki/Automorphic_number#Trimorphic_numbers
"""


def is_trimorphic(number: int) -> bool:
"""
Checks if a number is a Trimorphic number.
"""
if number < 0:
raise ValueError("Input must be a non-negative integer")

if number == 0:
return True

cube = number**3
return str(cube).endswith(str(number))


if __name__ == "__main__":
import doctest

doctest.testmod()
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