





def       UpperCAmelCase							(     _lowerCamelCase      :  list[int]			,   _lowerCamelCase      :  str     ):





						'''simple docstring'''


						SCREAMING_SNAKE_CASE__     :				Dict   =					int(_lowerCamelCase     )

						# Initialize Result
						SCREAMING_SNAKE_CASE__     :				Optional[Any]   =					[]

						# Traverse through all denomination
						for denomination in reversed(_lowerCamelCase     ):
												# Find denominations
												while int(_lowerCamelCase     ) >= int(_lowerCamelCase     ):
																		total_value -= int(_lowerCamelCase     )
																		answer.append(_lowerCamelCase     )  # Append the "answers" array

						return answer


# Driver Code
if __name__ == "__main__":
				__lowercase       :Dict       =  []
				__lowercase       :Tuple       =  "0"

				if (
				    input("Do you want to enter your denominations ? (yY/n): ").strip().lower()
				    == "y"
				):
								__lowercase       :str       =  int(input("Enter the number of denominations you want to add: ").strip())

								for i in range(0, n):
												denominations.append(int(input(f"Denomination {i}: ").strip()))
								__lowercase       :str       =  input("Enter the change you want to make in Indian Currency: ").strip()
				else:
								# All denominations of Indian Currency if user does not enter
								__lowercase       :Dict       =  [1, 2, 5, 10, 20, 50, 100, 500, 2_000]
								__lowercase       :Tuple       =  input("Enter the change you want to make: ").strip()

				if int(value) == 0 or int(value) < 0:
								print("The total value cannot be zero or negative.")

				else:
								print(f"Following is minimal change for {value}: ")
								__lowercase       :Dict       =  find_minimum_change(denominations, value)
								# Print result
								for i in range(len(answer)):
												print(answer[i], end=" ")






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())