





from __future__ import annotations







def       UpperCAmelCase							(     _lowerCamelCase      :  Optional[Any]			,   _lowerCamelCase      :  Union[str, Any]     ):





						'''simple docstring'''


						if len(lowerCamelCase__     ) == 0:
												return False
						SCREAMING_SNAKE_CASE__     :				int   =					len(lowerCamelCase__     ) // 2
						if a_list[midpoint] == item:
												return True
						if item < a_list[midpoint]:
												return binary_search(a_list[:midpoint]			,   lowerCamelCase__     )
						else:
												return binary_search(a_list[midpoint + 1 :]			,   lowerCamelCase__     )


if __name__ == "__main__":
				__lowercase       :int       =  input("Enter numbers separated by comma:\n").strip()
				__lowercase       :Optional[int]       =  [int(item.strip()) for item in user_input.split(",")]
				__lowercase       :int       =  int(input("Enter the number to be found in the list:\n").strip())
				__lowercase       :Tuple       =  "" if binary_search(sequence, target) else "not "
				print(f"{target} was {not_str}found in {sequence}")






from __future__ import annotations

from fractions import Fraction







def       UpperCAmelCase							(     _lowerCamelCase      :  int			,   _lowerCamelCase      :  int     ):





						'''simple docstring'''


						return (
						    num != den and num % 10 == den // 10 and (num // 10) / (den % 10) == num / den
						)







def       UpperCAmelCase							(     _lowerCamelCase      :  int     ):





						'''simple docstring'''


						SCREAMING_SNAKE_CASE__     :				int   =					[]
						SCREAMING_SNAKE_CASE__     :				str   =					11
						SCREAMING_SNAKE_CASE__     :				Any   =					int("1" + "0" * digit_len     )
						for num in range(_lowerCamelCase			,   _lowerCamelCase     ):
												while den <= 99:
																		if (num != den) and (num % 10 == den // 10) and (den % 10 != 0):
																								if is_digit_cancelling(_lowerCamelCase			,   _lowerCamelCase     ):
																														solutions.append(f"""{num}/{den}"""     )
																		den += 1
												num += 1
												SCREAMING_SNAKE_CASE__     :				str   =					10
						return solutions







def       UpperCAmelCase							(     _lowerCamelCase      :  int = 2     ):





						'''simple docstring'''


						SCREAMING_SNAKE_CASE__     :				Optional[int]   =					1.0
						for fraction in fraction_list(_lowerCamelCase     ):
												SCREAMING_SNAKE_CASE__     :				Any   =					Fraction(_lowerCamelCase     )
												result *= frac.denominator / frac.numerator
						return int(_lowerCamelCase     )


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