
"""simple docstring"""


from queue import PriorityQueue
from typing import Any

import numpy as np






def  lowercase						(	lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,):
			for nxt, d in graph[v]:
						if nxt in visited_forward:
									continue
						lowerCamelCase_					=  cst_fwd.get(lowerCAmelCase__	,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  lowercase						(	lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__						):
			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(lowerCAmelCase__						)

						lowerCamelCase_		, lowerCamelCase_					=  queue_backward.get()
						visited_backward.add(lowerCAmelCase__						)

						lowerCamelCase_					=  pass_and_relaxation(
						    lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,lowerCAmelCase__	,)

						lowerCamelCase_					=  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:
						lowerCamelCase_					=  shortest_distance
			return shortest_path_distance


A_    							=					{
    """B""": [["""C""", 1]],
    """C""": [["""D""", 1]],
    """D""": [["""F""", 1]],
    """E""": [["""B""", 1], ["""G""", 2]],
    """F""": [],
    """G""": [["""F""", 1]],
}
A_    							=					{
    """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  lowercase						(	lowerCAmelCase__						):
			return " ".join(input_str.split()[::-1]						)


if __name__ == "__main__":
						import doctest

						doctest.testmod()



