






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


def 	lowerCamelCase__      (  lowercase    ,  lowercase					):

  """simple docstring"""






  SCREAMING_SNAKE_CASE							:   Any						    =     iter(lowercase					)
  while True:
    SCREAMING_SNAKE_CASE							:   int						    =     tuple(itertools.islice(lowercase    ,  lowercase					)					)
    if not chunk:
      return
    yield chunk


def 	lowerCamelCase__      (  lowercase					):

  """simple docstring"""






  SCREAMING_SNAKE_CASE							:   Any						    =     "".join([c.upper() for c in dirty if c in string.ascii_letters]					)
  SCREAMING_SNAKE_CASE							:   int						    =     ""

  if len(lowercase					) < 2:
    return dirty

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

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

  clean += dirty[-1]

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

  return clean


def 	lowerCamelCase__      (  lowercase					):

  """simple docstring"""






  SCREAMING_SNAKE_CASE							:   Dict						    =     "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
  SCREAMING_SNAKE_CASE							:   Dict						    =     []

  # 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(lowercase					)

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

  return table


def 	lowerCamelCase__      (  lowercase    ,  lowercase					):

  """simple docstring"""






  SCREAMING_SNAKE_CASE							:   Tuple						    =     generate_table(lowercase					)
  SCREAMING_SNAKE_CASE							:   int						    =     prepare_input(lowercase					)
  SCREAMING_SNAKE_CASE							:   Optional[int]						    =     ""

  # https://en.wikipedia.org/wiki/Playfair_cipher#Description
  for chara, chara in chunker(lowercase    ,  2					):
    SCREAMING_SNAKE_CASE    ,	SCREAMING_SNAKE_CASE							:   int						    =     divmod(table.index(lowercase					)    ,  5					)
    SCREAMING_SNAKE_CASE    ,	SCREAMING_SNAKE_CASE							:   int						    =     divmod(table.index(lowercase					)    ,  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 	lowerCamelCase__      (  lowercase    ,  lowercase					):

  """simple docstring"""






  SCREAMING_SNAKE_CASE							:   Any						    =     generate_table(lowercase					)
  SCREAMING_SNAKE_CASE							:   Optional[Any]						    =     ""

  # https://en.wikipedia.org/wiki/Playfair_cipher#Description
  for chara, chara in chunker(lowercase    ,  2					):
    SCREAMING_SNAKE_CASE    ,	SCREAMING_SNAKE_CASE							:   List[Any]						    =     divmod(table.index(lowercase					)    ,  5					)
    SCREAMING_SNAKE_CASE    ,	SCREAMING_SNAKE_CASE							:   Union[str, Any]						    =     divmod(table.index(lowercase					)    ,  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'''



from queue import PriorityQueue
from typing import Any

import numpy as np



def  __UpperCAmelCase						(					SCREAMING_SNAKE_CASE__:						dict,       SCREAMING_SNAKE_CASE__:						str,       SCREAMING_SNAKE_CASE__:						set,       SCREAMING_SNAKE_CASE__:						set,       SCREAMING_SNAKE_CASE__:						dict,       SCREAMING_SNAKE_CASE__:						dict,       SCREAMING_SNAKE_CASE__:						PriorityQueue,       SCREAMING_SNAKE_CASE__:						dict,       SCREAMING_SNAKE_CASE__:						float | int,       )	->      float | int:

   """simple docstring"""
   for nxt, d in graph[v]:
      if nxt in visited_forward:
         continue
      __a					  =     cst_fwd.get(SCREAMING_SNAKE_CASE__,       np.inf     )
      __a					  =     cst_fwd[v] + d
      if new_cost_f < old_cost_f:
         queue.put((new_cost_f, nxt)     )
         __a					  =     new_cost_f
         __a					  =     v
      if nxt in visited_backward:
         if cst_fwd[v] + d + cst_bwd[nxt] < shortest_distance:
            __a					  =     cst_fwd[v] + d + cst_bwd[nxt]
   return shortest_distance



def  __UpperCAmelCase						(					SCREAMING_SNAKE_CASE__:						str,       SCREAMING_SNAKE_CASE__:						str,       SCREAMING_SNAKE_CASE__:						dict,       SCREAMING_SNAKE_CASE__:						dict     )	->      int:

   """simple docstring"""
   __a					  =     -1

   __a					  =     set()
   __a					  =     set()
   __a					  =     {source: 0}
   __a					  =     {destination: 0}
   __a					  =     {source: None}
   __a					  =     {destination: None}
   __a					  =     PriorityQueue()
   __a					  =     PriorityQueue()

   __a					  =     np.inf

   queue_forward.put((0, source)     )
   queue_backward.put((0, destination)     )

   if source == destination:
      return 0

   while not queue_forward.empty() and not queue_backward.empty():
      __a  ,      __a					  =     queue_forward.get()
      visited_forward.add(SCREAMING_SNAKE_CASE__     )

      __a  ,      __a					  =     queue_backward.get()
      visited_backward.add(SCREAMING_SNAKE_CASE__     )

      __a					  =     pass_and_relaxation(
          SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       )

      __a					  =     pass_and_relaxation(
          SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__,       )

      if cst_fwd[v_fwd] + cst_bwd[v_bwd] >= shortest_distance:
         break

   if shortest_distance != np.inf:
      __a					  =     shortest_distance
   return shortest_path_distance


__UpperCamelCase   :							Dict         =   {
    """B""": [["""C""", 1]],
    """C""": [["""D""", 1]],
    """D""": [["""F""", 1]],
    """E""": [["""B""", 1], ["""G""", 2]],
    """F""": [],
    """G""": [["""F""", 1]],
}
__UpperCamelCase   :							int         =   {
    """B""": [["""E""", 1]],
    """C""": [["""B""", 1]],
    """D""": [["""C""", 1]],
    """F""": [["""D""", 1], ["""G""", 1]],
    """E""": [[None, np.inf]],
    """G""": [["""E""", 2]],
}

if __name__ == "__main__":
 import doctest

 doctest.testmod()