






from __future__ import annotations

from fractions import Fraction






def 							A     (       a_							,a_					)     ->						bool:
					return (
					    num != den and num % 10 == den // 10 and (num // 10) / (den % 10) == num / den
					)






def 							A     (       a_					)     ->						list[str]:
					__UpperCamelCase      :					Dict       		=[]
					__UpperCamelCase      :					Union[str, Any]       		=11
					__UpperCamelCase      :					List[str]       		=int('1' + '0' * digit_len					)
					for num in range(a_							,a_					):
										while den <= 99:
															if (num != den) and (num % 10 == den // 10) and (den % 10 != 0):
																				if is_digit_cancelling(a_							,a_					):
																									solutions.append(F'{num}/{den}'					)
															den += 1
										num += 1
										__UpperCamelCase      :					Any       		=10
					return solutions






def 							A     (       a_ = 2					)     ->						int:
					__UpperCamelCase      :					Optional[Any]       		=1.0
					for fraction in fraction_list(a_					):
										__UpperCamelCase      :					int       		=Fraction(a_					)
										result *= frac.denominator / frac.numerator
					return int(a_					)


if __name__ == "__main__":
							print(solution())





"""simple docstring"""
# this script reports modified .py files under the desired list of top-level sub-dirs passed as a list of arguments, e.g.:
#   python ./utils/get_modified_files.py utils src tests examples
#
# it uses git to find the forking point and which files were modified - i.e. files not under git won't be considered
# since the output of this script is fed into Makefile commands it doesn't print a newline after the results

import re
import subprocess
import sys


SCREAMING_SNAKE_CASE :    Union[str, Any]									=				subprocess.check_output("""git merge-base main HEAD""".split()).decode("""utf-8""")
SCREAMING_SNAKE_CASE :    Any									=				subprocess.check_output(F'git diff --name-only {fork_point_sha}'.split()).decode("""utf-8""").split()

SCREAMING_SNAKE_CASE :    Union[str, Any]									=				"""|""".join(sys.argv[1:])
SCREAMING_SNAKE_CASE :    int									=				re.compile(rF'^({joined_dirs}).*?\.py$')

SCREAMING_SNAKE_CASE :    str									=				[x for x in modified_files if regex.match(x)]
print(""" """.join(relevant_modified_files), end="""""")





