
import itertools
import string
from collections.abc import Generator, Iterable



def    _lowercase       (   __SCREAMING_SNAKE_CASE					,     __SCREAMING_SNAKE_CASE			)						->  List[Any]:
			UpperCamelCase__     :		List[Any]	 =					iter(UpperCamelCase__			)
			while True:
						UpperCamelCase__     :		List[str]	 =					tuple(itertools.islice(UpperCamelCase__					,     UpperCamelCase__			)			)
						if not chunk:
									return
						yield chunk



def    _lowercase       (   __SCREAMING_SNAKE_CASE			)						->  int:
			UpperCamelCase__     :		Dict	 =					''.join([c.upper() for c in dirty if c in string.ascii_letters]			)
			UpperCamelCase__     :		List[Any]	 =					''

			if len(UpperCamelCase__			) < 2:
						return dirty

			for i in range(len(UpperCamelCase__			) - 1			):
						clean += dirty[i]

						if dirty[i] == dirty[i + 1]:
									clean += "X"

			clean += dirty[-1]

			if len(UpperCamelCase__			) & 1:
						clean += "X"

			return clean



def    _lowercase       (   __SCREAMING_SNAKE_CASE			)						->  Dict:
			# I and J are used interchangeably to allow
			# us to use a 5x5 table (25 letters)
			UpperCamelCase__     :		Optional[Any]	 =					'ABCDEFGHIKLMNOPQRSTUVWXYZ'
			# we're using a list instead of a '2d' array because it makes the math
			# for setting up the table and doing the actual encoding/decoding simpler
			UpperCamelCase__     :		Union[str, Any]	 =					[]

			# copy key chars into the table if they are in `alphabet` ignoring duplicates
			for char in key.upper():
						if char not in table and char in alphabet:
									table.append(UpperCamelCase__			)

									 # fill the rest of the table in with the remaining alphabet chars
			for char in alphabet:
						if char not in table:
									table.append(UpperCamelCase__			)

			return table



def    _lowercase       (   __SCREAMING_SNAKE_CASE					,     __SCREAMING_SNAKE_CASE			)						->  List[Any]:
			UpperCamelCase__     :		Optional[Any]	 =					generate_table(UpperCamelCase__			)
			UpperCamelCase__     :		int	 =					prepare_input(UpperCamelCase__			)
			UpperCamelCase__     :		List[Any]	 =					''

			# https://en.wikipedia.org/wiki/Playfair_cipher#Description
			for chara, chara in chunker(UpperCamelCase__					,     2			):
						UpperCamelCase__     :		Tuple	 =					divmod(table.index(UpperCamelCase__			)					,     5			)
						UpperCamelCase__     :		Optional[int]	 =					divmod(table.index(UpperCamelCase__			)					,     5			)

						if rowa == rowa:
									ciphertext += table[rowa * 5 + (cola + 1) % 5]
									ciphertext += table[rowa * 5 + (cola + 1) % 5]
						elif cola == cola:
									ciphertext += table[((rowa + 1) % 5) * 5 + cola]
									ciphertext += table[((rowa + 1) % 5) * 5 + cola]
						else:  # rectangle
									ciphertext += table[rowa * 5 + cola]
									ciphertext += table[rowa * 5 + cola]

			return ciphertext



def    _lowercase       (   __SCREAMING_SNAKE_CASE					,     __SCREAMING_SNAKE_CASE			)						->  List[str]:
			UpperCamelCase__     :		Optional[int]	 =					generate_table(UpperCamelCase__			)
			UpperCamelCase__     :		List[Any]	 =					''

			# https://en.wikipedia.org/wiki/Playfair_cipher#Description
			for chara, chara in chunker(UpperCamelCase__					,     2			):
						UpperCamelCase__     :		Dict	 =					divmod(table.index(UpperCamelCase__			)					,     5			)
						UpperCamelCase__     :		str	 =					divmod(table.index(UpperCamelCase__			)					,     5			)

						if rowa == rowa:
									plaintext += table[rowa * 5 + (cola - 1) % 5]
									plaintext += table[rowa * 5 + (cola - 1) % 5]
						elif cola == cola:
									plaintext += table[((rowa - 1) % 5) * 5 + cola]
									plaintext += table[((rowa - 1) % 5) * 5 + cola]
						else:  # rectangle
									plaintext += table[rowa * 5 + cola]
									plaintext += table[rowa * 5 + cola]

			return plaintext







'''simple docstring'''
def       _lowercase							(					UpperCamelCase__							:       dict      ):
 __A	:		Dict	  =      set()
 # edges = list of graph's edges
 __A	:		Any	  =      get_edges(UpperCamelCase__      )

 # While there are still elements in edges list, take an arbitrary edge
 # (from_node, to_node) and add his extremity to chosen_vertices and then
 # remove all arcs adjacent to the from_node and to_node
 while edges:
  __A  ,__A	:		List[Any]	  =      edges.pop()
  chosen_vertices.add(UpperCamelCase__      )
  chosen_vertices.add(UpperCamelCase__      )
  for edge in edges.copy():
   if from_node in edge or to_node in edge:
    edges.discard(UpperCamelCase__      )
 return chosen_vertices


def       _lowercase							(					UpperCamelCase__							:       dict      ):
 __A	:		Any	  =      set()
 for from_node, to_nodes in graph.items():
  for to_node in to_nodes:
   edges.add((from_node, to_node)      )
 return edges


if __name__ == "__main__":
 import doctest

 doctest.testmod()

 # graph = {0: [1, 3], 1: [0, 3], 2: [0, 3, 4], 3: [0, 1, 2], 4: [2, 3]}
 # print(f"Matching vertex cover:\n{matching_min_vertex_cover(graph)}")






