

'''simple docstring'''

from __future__ import annotations

import random
from collections.abc import Iterable







class lowerCamelCase   :

				def __init__(       self,						lowercase_ )    ->							None:
					snake_case							=					{literal: None for literal in literals}

				def __str__(       self )    ->							str:
					return "{" + " , ".join(self.literals ) + "}"

				def __len__(       self )    ->							int:
					return len(self.literals )

				def 					_lowerCamelCase    (       self,						lowercase_ )    ->							None:
					for literal in self.literals:
						snake_case							=					literal[:2]
						if symbol in model:
							snake_case							=					model[symbol]
						else:
							continue
						if value is not None:
							# Complement assignment if literal is in complemented form
							if literal.endswith('\'' ):
								snake_case							=					not value
						snake_case							=					value






				def 					_lowerCamelCase    (       self,						lowercase_ )    ->							bool | None:
					for literal in self.literals:
						snake_case							=					literal.rstrip('\'' ) if literal.endswith('\'' ) else literal + '\''
						if symbol in self.literals:
							return True

					self.assign(lowercase_ )
					for value in self.literals.values():
						if value in (True, None):
							return value
					return any(self.literals.values() )







class lowerCamelCase   :

				def __init__(       self,						lowercase_ )    ->							None:
					snake_case							=					list(lowercase_ )






				def __str__(       self )    ->							str:
					return "{" + " , ".join(str(lowercase_ ) for clause in self.clauses ) + "}"

def      __magic_name__							(			)      ->		Clause:
	snake_case							=					[]
	snake_case							=					random.randint(1       , 5				)
	snake_case							=					'A'
	snake_case							=					0
	while i < no_of_literals:
		snake_case							=					random.randint(1       , 5				)
		snake_case							=					base_var + str(A				)
		snake_case							=					random.randint(0       , 1				)
		if var_complement == 1:
			var_name += "'"
		if var_name in literals:
			i -= 1
		else:
			literals.append(A				)
		i += 1
	return Clause(A				)

def      __magic_name__							(			)      ->		Formula:
	snake_case							=					set()
	snake_case							=					random.randint(1       , 1_0				)
	while len(A				) < no_of_clauses:
		clauses.add(generate_clause()				)
	return Formula(A				)

def      __magic_name__							(			A				)      ->		tuple[list[Clause], list[str]]:
	snake_case							=					formula.clauses
	snake_case							=					[]
	for clause in formula.clauses:
		for literal in clause.literals:
			snake_case							=					literal[:2]
			if symbol not in symbols_set:
				symbols_set.append(A				)
	return clauses, symbols_set

def      __magic_name__							(			A       , A       , A				)      ->		tuple[list[str], dict[str, bool | None]]:
	snake_case							=					[]
	snake_case							=					{}
	snake_case							=					[]

	for clause in clauses:
		if clause.evaluate(A				):
			continue
		for literal in clause.literals:
			literals.append(A				)

	for s in symbols:
		snake_case							=					s + '\''
		if (s in literals and sym not in literals) or (
		    s not in literals and sym in literals
		):
			pure_symbols.append(A				)
	for p in pure_symbols:
		snake_case							=					None
	for s in pure_symbols:
		snake_case							=					s + '\''
		if s in literals:
			snake_case							=					True
		elif sym in literals:
			snake_case							=					False
	return pure_symbols, assignment

def      __magic_name__							(			A       , A				)      ->		tuple[list[str], dict[str, bool | None]]:
	snake_case							=					[]
	for clause in clauses:
		if len(A				) == 1:
			unit_symbols.append(list(clause.literals.keys()				)[0]				)
		else:
			snake_case			,			snake_case							=					0, 0
			for literal, value in clause.literals.items():
				if value is False:
					f_count += 1
				elif value is None:
					snake_case							=					literal
					n_count += 1
			if f_count == len(A				) - 1 and n_count == 1:
				unit_symbols.append(A				)
	snake_case							=					{}
	for i in unit_symbols:
		snake_case							=					i[:2]
		snake_case							=					len(A				) == 2
	snake_case							=					[i[:2] for i in unit_symbols]

	return unit_symbols, assignment

def      __magic_name__							(			A       , A       , A				)      ->		tuple[bool | None, dict[str, bool | None] | None]:
	snake_case							=					True
	for clause in clauses:
		snake_case							=					clause.evaluate(A				)
		if clause_check is False:
			return False, None
		elif clause_check is None:
			snake_case							=					False
			continue

	if check_clause_all_true:
		return True, model

	try:
		snake_case			,			snake_case							=					find_pure_symbols(A       , A       , A				)
	except RecursionError:
		print('raises a RecursionError and is'				)
		return None, {}
	snake_case							=					None
	if len(A				) > 0:
		snake_case			,			snake_case							=					pure_symbols[0], assignment[pure_symbols[0]]

	if p:
		snake_case							=					model
		snake_case							=					value
		snake_case							=					list(A				)
		if p in tmp_symbols:
			tmp_symbols.remove(A				)
		return dpll_algorithm(A       , A       , A				)

	snake_case			,			snake_case							=					find_unit_clauses(A       , A				)
	snake_case							=					None
	if len(A				) > 0:
		snake_case			,			snake_case							=					unit_symbols[0], assignment[unit_symbols[0]]
	if p:
		snake_case							=					model
		snake_case							=					value
		snake_case							=					list(A				)
		if p in tmp_symbols:
			tmp_symbols.remove(A				)
		return dpll_algorithm(A       , A       , A				)
	snake_case							=					symbols[0]
	snake_case							=					symbols[1:]
	snake_case			,			snake_case							=					model, model
	snake_case			,			snake_case							=					True, False

	return dpll_algorithm(A       , A       , A				) or dpll_algorithm(A       , A       , A				)


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						lowerCAmelCase_     =      generate_formula()
						print(f"The formula {formula} is", end=" ")

						lowerCAmelCase_ ,						lowerCAmelCase_     =      generate_parameters(formula)
						lowerCAmelCase_ ,						lowerCAmelCase_     =      dpll_algorithm(clauses, symbols, {})

						if solution:
												print(f"satisfiable with the assignment {model}.")
						else:
												print("not satisfiable.")






"""simple docstring"""
import random
import sys

from . import cryptomath_module as cryptomath

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







def 		__a  (      _SCREAMING_SNAKE_CASE						,	_SCREAMING_SNAKE_CASE						,	_SCREAMING_SNAKE_CASE  )      ->None:
  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(_SCREAMING_SNAKE_CASE  ) - 1:
    sys.exit(
        'Key A must be greater than 0 and key B must '
        F'be between 0 and {len(_SCREAMING_SNAKE_CASE  ) - 1}.'  )
  if cryptomath.gcd(_SCREAMING_SNAKE_CASE						,	len(_SCREAMING_SNAKE_CASE  )  ) != 1:
    sys.exit(
        F'Key A {key_a} and the symbol set size {len(_SCREAMING_SNAKE_CASE  )} '
        'are not relatively prime. Choose a different key.'  )







def 		__a  (      _SCREAMING_SNAKE_CASE						,	_SCREAMING_SNAKE_CASE  )      ->str:
  a__				,       a__:	Optional[Any]     				=      divmod(_SCREAMING_SNAKE_CASE						,	len(_SCREAMING_SNAKE_CASE  )  )
  check_keys(_SCREAMING_SNAKE_CASE						,	_SCREAMING_SNAKE_CASE						,	'encrypt'  )
  a__:	Dict     				=      ''
  for symbol in message:
    if symbol in SYMBOLS:
      a__:	int     				=      SYMBOLS.find(_SCREAMING_SNAKE_CASE  )
      cipher_text += SYMBOLS[(sym_index * key_a + key_b) % len(_SCREAMING_SNAKE_CASE  )]
    else:
      cipher_text += symbol
  return cipher_text







def 		__a  (      _SCREAMING_SNAKE_CASE						,	_SCREAMING_SNAKE_CASE  )      ->str:
  a__				,       a__:	List[str]     				=      divmod(_SCREAMING_SNAKE_CASE						,	len(_SCREAMING_SNAKE_CASE  )  )
  check_keys(_SCREAMING_SNAKE_CASE						,	_SCREAMING_SNAKE_CASE						,	'decrypt'  )
  a__:	List[Any]     				=      ''
  a__:	str     				=      cryptomath.find_mod_inverse(_SCREAMING_SNAKE_CASE						,	len(_SCREAMING_SNAKE_CASE  )  )
  for symbol in message:
    if symbol in SYMBOLS:
      a__:	List[str]     				=      SYMBOLS.find(_SCREAMING_SNAKE_CASE  )
      plain_text += SYMBOLS[
          (sym_index - key_b) * mod_inverse_of_key_a % len(_SCREAMING_SNAKE_CASE  )
      ]
    else:
      plain_text += symbol
  return plain_text







def 		__a  (      )      ->int:
  while True:
    a__:	int     				=      random.randint(2						,	len(_SCREAMING_SNAKE_CASE  )  )
    a__:	List[Any]     				=      random.randint(2						,	len(_SCREAMING_SNAKE_CASE  )  )
    if cryptomath.gcd(_SCREAMING_SNAKE_CASE						,	len(_SCREAMING_SNAKE_CASE  )  ) == 1 and key_b % len(_SCREAMING_SNAKE_CASE  ) != 0:
      return key_b * len(_SCREAMING_SNAKE_CASE  ) + key_b







def 		__a  (      )      ->None:
  a__:	Union[str, Any]     				=      input('Enter message: '  ).strip()
  a__:	List[Any]     				=      int(input('Enter key [2000 - 9000]: '  ).strip()  )
  a__:	List[Any]     				=      input('Encrypt/Decrypt [E/D]: '  ).strip().lower()

  if mode.startswith('e'  ):
    a__:	int     				=      'encrypt'
    a__:	List[str]     				=      encrypt_message(_SCREAMING_SNAKE_CASE						,	_SCREAMING_SNAKE_CASE  )
  elif mode.startswith('d'  ):
    a__:	Dict     				=      'decrypt'
    a__:	Any     				=      decrypt_message(_SCREAMING_SNAKE_CASE						,	_SCREAMING_SNAKE_CASE  )
  print(F'\n{mode.title()}ed text: \n{translated}'  )


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 # main()


