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class InvalidFactorialError(RuntimeError):

"""Error generated if an invalid factorial input is given."""

def factorial(n: int) -> int:

"""Computes the factorial through a recursive algorithm.

Args:

n: A positive input value.

Raises:

InvalidFactorialError: If n is less than 0.

Returns:

Computed factorial.

"""

if n < 0:

raise InvalidFactorialError(f"n is less than zero: {n}")

elif n == 0:

return 1

return n * factorial(n - 1)