

"""simple docstring"""




def       lowercase__						(       snake_case_   :list[int]			,		snake_case_   :str    ):
	__UpperCAmelCase      		= int(snake_case_    )

	# Initialize Result
	__UpperCAmelCase      		= []

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

	return answer


# Driver Code
if __name__ == "__main__":
				_lowercase   :	str												=						[]
				_lowercase   :	Union[str, Any]												=						'0'

				if (
				    input('Do you want to enter your denominations ? (yY/n): ').strip().lower()
				    == "y"
				):
								_lowercase   :	List[Any]												=						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   :	Optional[Any]												=						input('Enter the change you want to make in Indian Currency: ').strip()
				else:
								# All denominations of Indian Currency if user does not enter
								_lowercase   :	List[Any]												=						[1, 2, 5, 10, 20, 50, 1_00, 5_00, 20_00]
								_lowercase   :	List[str]												=						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   :	Optional[int]												=						find_minimum_change(denominations, value)
								# Print result
								for i in range(len(answer)):
												print(answer[i], end=' ')




'''simple docstring'''






from math import factorial

__A   :    dict[str, int]											= {str(digit): factorial(digit) for digit in range(10)}







def 							UpperCamelCase_     (       A__   :  int   ):
  '''simple docstring'''





  if not isinstance(A__				,       A__   ):
    raise TypeError("""Parameter number must be int"""   )

  if number < 0:
    raise ValueError("""Parameter number must be greater than or equal to 0"""   )

  # Converts number in string to iterate on its digits and adds its factorial.
  return sum(DIGIT_FACTORIAL[digit] for digit in str(A__   )   )







def 							UpperCamelCase_     (       A__   :  int = 60				,       A__   :  int = 1_00_00_00   ):
  '''simple docstring'''





  if not isinstance(A__				,       A__   ) or not isinstance(A__				,       A__   ):
    raise TypeError("""Parameters chain_length and number_limit must be int"""   )

  if chain_length <= 0 or number_limit <= 0:
    raise ValueError(
        """Parameters chain_length and number_limit must be greater than 0"""   )

  # the counter for the chains with the exact desired length
  lowerCAmelCase_     : Optional[int]     =  0
  # the cached sizes of the previous chains
  lowerCAmelCase_     : dict[int, int]     =  {}

  for start_chain_element in range(1				,       A__   ):
    # The temporary set will contain the elements of the chain
    lowerCAmelCase_     : List[str]     =  set()
    lowerCAmelCase_     : Optional[int]     =  0

    # Stop computing the chain when you find a cached size, a repeating item or the
    # length is greater then the desired one.
    lowerCAmelCase_     : int     =  start_chain_element
    while (
        chain_element not in chain_sets_lengths
        and chain_element not in chain_set
        and chain_set_length <= chain_length
    ):
      chain_set.add(A__   )
      chain_set_length += 1
      lowerCAmelCase_     : Union[str, Any]     =  digit_factorial_sum(A__   )

    if chain_element in chain_sets_lengths:
      chain_set_length += chain_sets_lengths[chain_element]

    lowerCAmelCase_     : int     =  chain_set_length

    # If chain contains the exact amount of elements increase the counter
    if chain_set_length == chain_length:
      chains_counter += 1

  return chains_counter


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  print(F'''{solution()}''')



