





import random
import sys

from . import cryptomath_module as cryptomath

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







def      A__				(       SCREAMING_SNAKE_CASE__   ,   SCREAMING_SNAKE_CASE__   ,   SCREAMING_SNAKE_CASE__)  ->       int:


  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__)  ->       Optional[int]:
  __snake_case:		int					    =		divmod(SCREAMING_SNAKE_CASE__   ,   len(SCREAMING_SNAKE_CASE__))
  check_keys(SCREAMING_SNAKE_CASE__   ,   SCREAMING_SNAKE_CASE__   ,   """encrypt""")
  __snake_case:		str					    =		''
  for symbol in message:
    if symbol in SYMBOLS:
      __snake_case:		Union[str, Any]					    =		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__)  ->       Tuple:
  __snake_case:		List[str]					    =		divmod(SCREAMING_SNAKE_CASE__   ,   len(SCREAMING_SNAKE_CASE__))
  check_keys(SCREAMING_SNAKE_CASE__   ,   SCREAMING_SNAKE_CASE__   ,   """decrypt""")
  __snake_case:		Union[str, Any]					    =		''
  __snake_case:		List[Any]					    =		cryptomath.find_mod_inverse(SCREAMING_SNAKE_CASE__   ,   len(SCREAMING_SNAKE_CASE__))
  for symbol in message:
    if symbol in SYMBOLS:
      __snake_case:		Optional[Any]					    =		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__				(       )  ->       List[Any]:


  while True:
    __snake_case:		Any					    =		random.randint(2   ,   len(SCREAMING_SNAKE_CASE__))
    __snake_case:		Optional[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__				(       )  ->       Dict:
  __snake_case:		Optional[int]					    =		input("""Enter message: """).strip()
  __snake_case:		Optional[Any]					    =		int(input("""Enter key [2000 - 9000]: """).strip())
  __snake_case:		Tuple					    =		input("""Encrypt/Decrypt [E/D]: """).strip().lower()

  if mode.startswith("""e"""):
    __snake_case:		Union[str, Any]					    =		'encrypt'
    __snake_case:		Optional[int]					    =		encrypt_message(SCREAMING_SNAKE_CASE__   ,   SCREAMING_SNAKE_CASE__)
  elif mode.startswith("""d"""):
    __snake_case:		Dict					    =		'decrypt'
    __snake_case:		int					    =		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()








from __future__ import annotations

from queue import Queue


class 	UpperCamelCase__       :

						'''simple docstring'''



						def __init__(  self	)  ->None:
									UpperCAmelCase__		:dict[int, list[int]] 		=    {}


						def    A__       (  self	)  ->None:
									for i in self.vertices:
												print(A  , ' : '  , ' -> '.join([str(A	) for j in self.vertices[i]]	)	)


						def    A__       (  self  , A  , A	)  ->None:
									if from_vertex in self.vertices:
												self.vertices[from_vertex].append(A	)
									else:
												UpperCAmelCase__		:Union[str, Any] 		=    [to_vertex]


						def    A__       (  self  , A	)  ->set[int]:
									UpperCAmelCase__		:str 		=    set()

									# create a first in first out queue to store all the vertices for BFS
									UpperCAmelCase__		:Queue 		=    Queue()

									# mark the source node as visited and enqueue it
									visited.add(A	)
									queue.put(A	)

									while not queue.empty():
												UpperCAmelCase__		:List[str] 		=    queue.get()

												# loop through all adjacent vertex and enqueue it if not yet visited
												for adjacent_vertex in self.vertices[vertex]:
															if adjacent_vertex not in visited:
																		queue.put(A	)
																		visited.add(A	)
									return visited


if __name__ == "__main__":
						from doctest import testmod

						testmod(verbose=True)

						__snake_case					:							Any           =							Graph()
						g.add_edge(0, 1)
						g.add_edge(0, 2)
						g.add_edge(1, 2)
						g.add_edge(2, 0)
						g.add_edge(2, 3)
						g.add_edge(3, 3)

						g.print_graph()
						# 0  :  1 -> 2
						# 1  :  2
						# 2  :  0 -> 3
						# 3  :  3

						assert sorted(g.bfs(2)) == [0, 1, 2, 3]





