




import random
import sys

from . import cryptomath_module as cryptomath

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





def      UpperCAmelCase  (						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      UpperCAmelCase  (						UpperCamelCase__						,			UpperCamelCase__   )     ->     str:







				'''simple docstring'''


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





def      UpperCAmelCase  (						UpperCamelCase__						,			UpperCamelCase__   )     ->     str:







				'''simple docstring'''


				__lowerCAmelCase	,				__lowerCAmelCase					=  divmod(__UpperCamelCase						,			len(__UpperCamelCase   )   )
				check_keys(__UpperCamelCase						,			__UpperCamelCase						,			"""decrypt"""   )
				__lowerCAmelCase					=  """"""
				__lowerCAmelCase					=  cryptomath.find_mod_inverse(__UpperCamelCase						,			len(__UpperCamelCase   )   )
				for symbol in message:
								if symbol in SYMBOLS:
												__lowerCAmelCase					=  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      UpperCAmelCase  (						)     ->     int:







				'''simple docstring'''


				while True:
								__lowerCAmelCase					=  random.randint(2						,			len(__UpperCamelCase   )   )
								__lowerCAmelCase					=  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      UpperCAmelCase  (						)     ->     None:







				'''simple docstring'''


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

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


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	# main()







"""simple docstring"""


import math



def        _lowerCamelCase(__UpperCamelCase			)							->					bool:

	if 1 < number < 4:
		# 2 and 3 are primes
		return True
	elif number < 2 or number % 2 == 0 or number % 3 == 0:
		# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
		return False

	# All primes number are in format of 6k +/- 1
	for i in range(5       ,					int(math.sqrt(__UpperCamelCase			) + 1			)       ,					6			):
		if number % i == 0 or number % (i + 2) == 0:
			return False
	return True



def        _lowerCamelCase(__UpperCamelCase = 600851475143			)							->					int:

	try:
		_lowerCAmelCase								=int(__UpperCamelCase			)
	except (TypeError, ValueError):
		raise TypeError("""Parameter n must be int or castable to int."""			)
	if n <= 0:
		raise ValueError("""Parameter n must be greater than or equal to one."""			)
	_lowerCAmelCase								=0
	if is_prime(__UpperCamelCase			):
		return n
	while n % 2 == 0:
		n //= 2
	if is_prime(__UpperCamelCase			):
		return n
	for i in range(3       ,					int(math.sqrt(__UpperCamelCase			)			) + 1       ,					2			):
		if n % i == 0:
			if is_prime(n // i			):
				_lowerCAmelCase								=n // i
				break
			elif is_prime(__UpperCamelCase			):
				_lowerCAmelCase								=i
	return max_number


if __name__ == "__main__":
			print(F"""{solution() = }""")



