


"""simple docstring"""





from queue import PriorityQueue
from typing import Any

import numpy as np
def        a__     (				lowerCAmelCase__     ,      lowerCAmelCase__     ,      lowerCAmelCase__     ,      lowerCAmelCase__     ,      lowerCAmelCase__     ,      lowerCAmelCase__     ,      lowerCAmelCase__     ,      lowerCAmelCase__     ,      lowerCAmelCase__     ,      ):
      for nxt, d in graph[v]:
            if nxt in visited_forward:
                  continue
            UpperCAmelCase_      			=							cst_fwd.get(__lowerCamelCase     ,      np.inf				)
            UpperCAmelCase_      			=							cst_fwd[v] + d
            if new_cost_f < old_cost_f:
                  queue.put((new_cost_f, nxt)				)
                  UpperCAmelCase_      			=							new_cost_f
                  UpperCAmelCase_      			=							v
            if nxt in visited_backward:
                  if cst_fwd[v] + d + cst_bwd[nxt] < shortest_distance:
                        UpperCAmelCase_      			=							cst_fwd[v] + d + cst_bwd[nxt]
      return shortest_distance
def        a__     (				lowerCAmelCase__     ,      lowerCAmelCase__     ,      lowerCAmelCase__     ,      lowerCAmelCase__				):
      UpperCAmelCase_      			=							-1

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

      UpperCAmelCase_      			=							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():
            UpperCAmelCase_      			=							queue_forward.get()
            visited_forward.add(__lowerCamelCase				)

            UpperCAmelCase_      			=							queue_backward.get()
            visited_backward.add(__lowerCamelCase				)

            UpperCAmelCase_      			=							pass_and_relaxation(
                __lowerCamelCase     ,      __lowerCamelCase     ,      __lowerCamelCase     ,      __lowerCamelCase     ,      __lowerCamelCase     ,      __lowerCamelCase     ,      __lowerCamelCase     ,      __lowerCamelCase     ,      __lowerCamelCase     ,      )

            UpperCAmelCase_      			=							pass_and_relaxation(
                __lowerCamelCase     ,      __lowerCamelCase     ,      __lowerCamelCase     ,      __lowerCamelCase     ,      __lowerCamelCase     ,      __lowerCamelCase     ,      __lowerCamelCase     ,      __lowerCamelCase     ,      __lowerCamelCase     ,      )

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

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


lowerCamelCase       	=						{
    """B""": [["""C""", 1]],
    """C""": [["""D""", 1]],
    """D""": [["""F""", 1]],
    """E""": [["""B""", 1], ["""G""", 2]],
    """F""": [],
    """G""": [["""F""", 1]],
}
lowerCamelCase       	=						{
    """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()









"""simple docstring"""





def        a__     (				lowerCAmelCase__     ,      lowerCAmelCase__				):
      return [sentence[i : i + ngram_size] for i in range(len(lowerCAmelCase__				) - ngram_size + 1				)]


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

  testmod()




