





"""simple docstring"""

UpperCAmelCase__  							={
    "a": "AAAAA",
    "b": "AAAAB",
    "c": "AAABA",
    "d": "AAABB",
    "e": "AABAA",
    "f": "AABAB",
    "g": "AABBA",
    "h": "AABBB",
    "i": "ABAAA",
    "j": "BBBAA",
    "k": "ABAAB",
    "l": "ABABA",
    "m": "ABABB",
    "n": "ABBAA",
    "o": "ABBAB",
    "p": "ABBBA",
    "q": "ABBBB",
    "r": "BAAAA",
    "s": "BAAAB",
    "t": "BAABA",
    "u": "BAABB",
    "v": "BBBAB",
    "w": "BABAA",
    "x": "BABAB",
    "y": "BABBA",
    "z": "BABBB",
    " ": " ",
}


UpperCAmelCase__  							={value: key for key, value in encode_dict.items()}


def lowerCAmelCase_      (				UpperCamelCase__	: Union[str, Any] ):






 """simple docstring"""







 __lowercase									=	""
 for letter in word.lower():
  if letter.isalpha() or letter == " ":
   encoded += encode_dict[letter]
  else:
   raise Exception("""encode() accepts only letters of the alphabet and spaces""" )
 return encoded


def lowerCAmelCase_      (				UpperCamelCase__	: Optional[int] ):






 """simple docstring"""







 if set(lowerCamelCase__ ) - {"A", "B", " "} != set():
  raise Exception("""decode() accepts only 'A', 'B' and spaces""" )
 __lowercase									=	""
 for word in coded.split():
  while len(lowerCamelCase__ ) != 0:
   decoded += decode_dict[word[:5]]
   __lowercase									=	word[5:]
  decoded += " "
 return decoded.strip()


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

       testmod()




"""simple docstring"""

import random


def lowerCAmelCase_      (				UpperCamelCase__	: int				,   UpperCamelCase__	: float				,   UpperCamelCase__	: bool = False ):






 """simple docstring"""







 __lowercase									=	{i: [] for i in range(UpperCamelCase__ )}

 # if probability is greater or equal than 1, then generate a complete graph
 if probability >= 1:
  return complete_graph(UpperCamelCase__ )
 # if probability is lower or equal than 0, then return a graph without edges
 if probability <= 0:
  return graph

 # for each couple of nodes, add an edge from u to v
 # if the number randomly generated is greater than probability probability
 for i in range(UpperCamelCase__ ):
  for j in range(i + 1				,   UpperCamelCase__ ):
   if random.random() < probability:
    graph[i].append(UpperCamelCase__ )
    if not directed:
     # if the graph is undirected, add an edge in from j to i, either
     graph[j].append(UpperCamelCase__ )
 return graph


def lowerCAmelCase_      (				UpperCamelCase__	: int ):






 """simple docstring"""







 return {
     i: [j for j in range(UpperCamelCase__ ) if i != j] for i in range(UpperCamelCase__ )
 }


if __name__ == "__main__":
       import doctest

       doctest.testmod()
