

from __future__ import annotations



def    snake_case_(_UpperCamelCase  )							->			list[int]:



  """simple docstring"""






  if not list_of_ints:
    return []

  if min(_UpperCamelCase  ) < 0:
    raise ValueError('''All numbers must be positive'''  )

  _snake_case		=							max(len(bin(_UpperCamelCase  )[2:]  ) for x in list_of_ints  )
  return _msd_radix_sort(_UpperCamelCase				, _UpperCamelCase  )



def    snake_case_(_UpperCamelCase				, _UpperCamelCase  )							->			list[int]:



  """simple docstring"""






  if bit_position == 0 or len(_UpperCamelCase  ) in [0, 1]:
    return list_of_ints

  _snake_case		=							[]
  _snake_case		=							[]
  # Split numbers based on bit at bit_position from the right
  for number in list_of_ints:
    if (number >> (bit_position - 1)) & 1:
      # number has a one at bit bit_position
      ones.append(_UpperCamelCase  )
    else:
      # number has a zero at bit bit_position
      zeros.append(_UpperCamelCase  )

    # recursively split both lists further
  _snake_case		=							_msd_radix_sort(_UpperCamelCase				, bit_position - 1  )
  _snake_case		=							_msd_radix_sort(_UpperCamelCase				, bit_position - 1  )

  # recombine lists
  _snake_case		=							zeros
  res.extend(_UpperCamelCase  )

  return res



def    snake_case_(_UpperCamelCase  )							->			int:



  """simple docstring"""






  _snake_case		=							len(_UpperCamelCase  )
  if not list_of_ints or length == 1:
    return

  if min(_UpperCamelCase  ) < 0:
    raise ValueError('''All numbers must be positive'''  )

  _snake_case		=							max(len(bin(_UpperCamelCase  )[2:]  ) for x in list_of_ints  )
  _msd_radix_sort_inplace(_UpperCamelCase				, _UpperCamelCase				, 0				, _UpperCamelCase  )



def    snake_case_(_UpperCamelCase				, _UpperCamelCase				, _UpperCamelCase				, _UpperCamelCase  )							->			Union[str, Any]:



  """simple docstring"""






  if bit_position == 0 or end_index - begin_index <= 1:
    return

  bit_position -= 1

  _snake_case		=							begin_index
  _snake_case		=							end_index - 1
  while i <= j:
    _snake_case		=							False
    if not (list_of_ints[i] >> bit_position) & 1:
      # found zero at the beginning
      i += 1
      _snake_case		=							True
    if (list_of_ints[j] >> bit_position) & 1:
      # found one at the end
      j -= 1
      _snake_case		=							True

    if changed:
      continue

    _snake_case		=							list_of_ints[j], list_of_ints[i]
    j -= 1
    if j != i:
      i += 1

  _msd_radix_sort_inplace(_UpperCamelCase				, _UpperCamelCase				, _UpperCamelCase				, _UpperCamelCase  )
  _msd_radix_sort_inplace(_UpperCamelCase				, _UpperCamelCase				, _UpperCamelCase				, _UpperCamelCase  )


if __name__ == "__main__":
   import doctest

   doctest.testmod()




import random
import sys

from . import cryptomath_module as cryptomath

__A    	=			(
    r''' !"#$%&\'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`'''
    r'''abcdefghijklmnopqrstuvwxyz{|}~'''
)



def    snake_case_(_UpperCamelCase				, _UpperCamelCase				, _UpperCamelCase  )							->			None:



  """simple docstring"""






  if mode == "encrypt":
    if key_a == 1:
      sys.exit(
          '''The affine cipher becomes weak when key '''
          '''A is set to 1. Choose different key'''  )
    if key_b == 0:
      sys.exit(
          '''The affine cipher becomes weak when key '''
          '''B is set to 0. Choose different key'''  )
  if key_a < 0 or key_b < 0 or key_b > len(_UpperCamelCase  ) - 1:
    sys.exit(
        '''Key A must be greater than 0 and key B must '''
        F"""be between 0 and {len(_UpperCamelCase  ) - 1}."""  )
  if cryptomath.gcd(_UpperCamelCase				, len(_UpperCamelCase  )  ) != 1:
    sys.exit(
        F"""Key A {key_a} and the symbol set size {len(_UpperCamelCase  )} """
        '''are not relatively prime. Choose a different key.'''  )



def    snake_case_(_UpperCamelCase				, _UpperCamelCase  )							->			str:



  """simple docstring"""






  _snake_case,  _snake_case		=							divmod(_UpperCamelCase				, len(_UpperCamelCase  )  )
  check_keys(_UpperCamelCase				, _UpperCamelCase				, '''encrypt'''  )
  _snake_case		=							''''''
  for symbol in message:
    if symbol in SYMBOLS:
      _snake_case		=							SYMBOLS.find(_UpperCamelCase  )
      cipher_text += SYMBOLS[(sym_index * key_a + key_b) % len(_UpperCamelCase  )]
    else:
      cipher_text += symbol
  return cipher_text



def    snake_case_(_UpperCamelCase				, _UpperCamelCase  )							->			str:



  """simple docstring"""






  _snake_case,  _snake_case		=							divmod(_UpperCamelCase				, len(_UpperCamelCase  )  )
  check_keys(_UpperCamelCase				, _UpperCamelCase				, '''decrypt'''  )
  _snake_case		=							''''''
  _snake_case		=							cryptomath.find_mod_inverse(_UpperCamelCase				, len(_UpperCamelCase  )  )
  for symbol in message:
    if symbol in SYMBOLS:
      _snake_case		=							SYMBOLS.find(_UpperCamelCase  )
      plain_text += SYMBOLS[
          (sym_index - key_b) * mod_inverse_of_key_a % len(_UpperCamelCase  )
      ]
    else:
      plain_text += symbol
  return plain_text



def    snake_case_()							->			int:



  """simple docstring"""






  while True:
    _snake_case		=							random.randint(2				, len(_UpperCamelCase  )  )
    _snake_case		=							random.randint(2				, len(_UpperCamelCase  )  )
    if cryptomath.gcd(_UpperCamelCase				, len(_UpperCamelCase  )  ) == 1 and key_b % len(_UpperCamelCase  ) != 0:
      return key_b * len(_UpperCamelCase  ) + key_b



def    snake_case_()							->			None:



  """simple docstring"""






  _snake_case		=							input('''Enter message: '''  ).strip()
  _snake_case		=							int(input('''Enter key [2000 - 9000]: '''  ).strip()  )
  _snake_case		=							input('''Encrypt/Decrypt [E/D]: '''  ).strip().lower()

  if mode.startswith('''e'''  ):
    _snake_case		=							'''encrypt'''
    _snake_case		=							encrypt_message(_UpperCamelCase				, _UpperCamelCase  )
  elif mode.startswith('''d'''  ):
    _snake_case		=							'''decrypt'''
    _snake_case		=							decrypt_message(_UpperCamelCase				, _UpperCamelCase  )
  print(F"""\n{mode.title()}ed text: \n{translated}"""  )


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 # main()

