






"""simple docstring"""


from __future__ import annotations




def       snake_case  (A_				:str     ,      A_				:list[str] | None = None     ,      A_				:dict[str, float] | None = None     ,      A_				:bool = False     ,      ):







  '''simple docstring'''

  a					:      Dict    =       cipher_alphabet or [chr(A_				) for i in range(9_7     ,      1_2_3				)]

  # If the argument is None or the user provided an empty dictionary
  if not frequencies_dict:
    # Frequencies of letters in the english language (how much they show up)
    a					:      Optional[int]    =       {
        'a': 0.0_8497,
        'b': 0.0_1492,
        'c': 0.0_2202,
        'd': 0.0_4253,
        'e': 0.1_1162,
        'f': 0.0_2228,
        'g': 0.0_2015,
        'h': 0.0_6094,
        'i': 0.0_7546,
        'j': 0.0_0153,
        'k': 0.0_1292,
        'l': 0.0_4025,
        'm': 0.0_2406,
        'n': 0.0_6749,
        'o': 0.0_7507,
        'p': 0.0_1929,
        'q': 0.0_0095,
        'r': 0.0_7587,
        's': 0.0_6327,
        't': 0.0_9356,
        'u': 0.0_2758,
        'v': 0.0_0978,
        'w': 0.0_2560,
        'x': 0.0_0150,
        'y': 0.0_1994,
        'z': 0.0_0077,
    }
  else:
    # Custom frequencies dictionary
    a					:      Union[str, Any]    =       frequencies_dict

  if not case_sensitive:
    a					:      Tuple    =       ciphertext.lower()

  # Chi squared statistic values
  a					:      dict[int, tuple[float, str]]    =       {}

  # cycle through all of the shifts
  for shift in range(len(A_				)				):
    a					:      Dict    =       ''

    # decrypt the message with the shift
    for letter in ciphertext:
      try:
        # Try to index the letter in the alphabet
        a					:      Any    =       (alphabet_letters.index(letter.lower()				) - shift) % len(
            A_				)
        decrypted_with_shift += (
            alphabet_letters[new_key].upper()
            if case_sensitive and letter.isupper()
            else alphabet_letters[new_key]
        )
      except ValueError:
        # Append the character if it isn't in the alphabet
        decrypted_with_shift += letter

    a					:      Optional[Any]    =       0.0

    # Loop through each letter in the decoded message with the shift
    for letter in decrypted_with_shift:
      if case_sensitive:
        a					:      Any    =       letter.lower()
        if letter in frequencies:
          # Get the amount of times the letter occurs in the message
          a					:      str    =       decrypted_with_shift.lower().count(A_				)

          # Get the excepcted amount of times the letter should appear based
          # on letter frequencies
          a					:      int    =       frequencies[letter] * occurrences

          # Complete the chi squared statistic formula
          a					:      List[str]    =       ((occurrences - expected) ** 2) / expected

          # Add the margin of error to the total chi squared statistic
          chi_squared_statistic += chi_letter_value
      else:
        if letter.lower() in frequencies:
          # Get the amount of times the letter occurs in the message
          a					:      Union[str, Any]    =       decrypted_with_shift.count(A_				)

          # Get the excepcted amount of times the letter should appear based
          # on letter frequencies
          a					:      Tuple    =       frequencies[letter] * occurrences

          # Complete the chi squared statistic formula
          a					:      Dict    =       ((occurrences - expected) ** 2) / expected

          # Add the margin of error to the total chi squared statistic
          chi_squared_statistic += chi_letter_value

        # Add the data to the chi_squared_statistic_values dictionary
    a					:      List[Any]    =       (
        chi_squared_statistic,
        decrypted_with_shift,
    )

  # Get the most likely cipher by finding the cipher with the smallest chi squared
  # statistic
  def chi_squared_statistic_values_sorting_key(A_				:int				) -> tuple[float, str]:
    return chi_squared_statistic_values[key]

  a					:      int    =       min(
      A_     ,      key=A_     ,      )

  # Get all the data from the most likely cipher (key, decoded message)
  (
      (
      a
  ),					(
      a
  ),					
  )					:      List[str]    =       chi_squared_statistic_values[most_likely_cipher]

  # Return the data on the most likely shift
  return (
      most_likely_cipher,
      most_likely_cipher_chi_squared_value,
      decoded_most_likely_cipher,
  )












"""simple docstring"""


def       snake_case  (A_				:list[int]     ,      A_				:str				):







  '''simple docstring'''

  a					:      Optional[int]    =       int(A_				)

  # Initialize Result
  a					:      int    =       []

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

  return answer


# Driver Code
if __name__ == "__main__":
   _UpperCamelCase    :   Dict   			=						[]
   _UpperCamelCase    :   str   			=						'0'

   if (
       input('Do you want to enter your denominations ? (yY/n): ').strip().lower()
       == "y"
   ):
      _UpperCamelCase    :   Dict   			=						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()))
      _UpperCamelCase    :   Optional[int]   			=						input('Enter the change you want to make in Indian Currency: ').strip()
   else:
      # All denominations of Indian Currency if user does not enter
      _UpperCamelCase    :   Union[str, Any]   			=						[1, 2, 5, 10, 20, 50, 100, 500, 2000]
      _UpperCamelCase    :   Dict   			=						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}: ''')
      _UpperCamelCase    :   Tuple   			=						find_minimum_change(denominations, value)
      # Print result
      for i in range(len(answer)):
         print(answer[i], end=' ')




