


"""simple docstring"""




from queue import PriorityQueue
from typing import Any

import numpy as np





def       a_ (	lowercase__ :dict,			lowercase__ :str,			lowercase__ :set,			lowercase__ :set,			lowercase__ :dict,			lowercase__ :dict,			lowercase__ :PriorityQueue,			lowercase__ :dict,			lowercase__ :float | int,			):
			for nxt, d in graph[v]:
						if nxt in visited_forward:
									continue
						__lowerCamelCase          =      cst_fwd.get(lowercase__,			np.inf     )
						__lowerCamelCase          =      cst_fwd[v] + d
						if new_cost_f < old_cost_f:
									queue.put((new_cost_f, nxt)     )
									__lowerCamelCase          =      new_cost_f
									__lowerCamelCase          =      v
						if nxt in visited_backward:
									if cst_fwd[v] + d + cst_bwd[nxt] < shortest_distance:
												__lowerCamelCase          =      cst_fwd[v] + d + cst_bwd[nxt]
			return shortest_distance





def       a_ (	lowercase__ :str,			lowercase__ :str,			lowercase__ :dict,			lowercase__ :dict     ):
			__lowerCamelCase          =      -1

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

			__lowerCamelCase          =      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():
						__lowerCamelCase     ,__lowerCamelCase          =      queue_forward.get()
						visited_forward.add(lowercase__     )

						__lowerCamelCase     ,__lowerCamelCase          =      queue_backward.get()
						visited_backward.add(lowercase__     )

						__lowerCamelCase          =      pass_and_relaxation(
						    lowercase__,			lowercase__,			lowercase__,			lowercase__,			lowercase__,			lowercase__,			lowercase__,			lowercase__,			lowercase__,			)

						__lowerCamelCase          =      pass_and_relaxation(
						    lowercase__,			lowercase__,			lowercase__,			lowercase__,			lowercase__,			lowercase__,			lowercase__,			lowercase__,			lowercase__,			)

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

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


__magic_name__						: Union[str, Any]    =				{
    'B': [['C', 1]],
    'C': [['D', 1]],
    'D': [['F', 1]],
    'E': [['B', 1], ['G', 2]],
    'F': [],
    'G': [['F', 1]],
}
__magic_name__						: Any    =				{
    '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_ (	lowercase__ :str,			lowercase__ :int     ):
			return [sentence[i : i + ngram_size] for i in range(len(lowercase__     ) - ngram_size + 1     )]


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

					testmod()




