





from ..utils import DummyObject, requires_backends






class       __A					(					metaclass=lowerCAmelCase				):

			'''simple docstring'''







			lowerCAmelCase_							  =		["torch", "scipy"]





			def __init__(					self ,						*__lowerCAmelCase ,						**__lowerCAmelCase							):



				'''simple docstring'''







				requires_backends(self ,						['''torch''', '''scipy''']							)





			@classmethod
			def 	__lowerCamelCase       (					cls ,						*__lowerCAmelCase ,						**__lowerCAmelCase							):



				'''simple docstring'''







				requires_backends(cls ,						['''torch''', '''scipy''']							)





			@classmethod
			def 	__lowerCamelCase       (					cls ,						*__lowerCAmelCase ,						**__lowerCAmelCase							):



				'''simple docstring'''







				requires_backends(cls ,						['''torch''', '''scipy''']							)










from queue import PriorityQueue
from typing import Any

import numpy as np





def lowerCAmelCase__(__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,)       ->   float | int:







	'''simple docstring'''







	for nxt, d in graph[v]:
		if nxt in visited_forward:
			continue
		lowerCamelCase__              =	cst_fwd.get(__snake_case ,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 lowerCAmelCase__(__snake_case ,__snake_case ,__snake_case ,__snake_case							)       ->   int:







	'''simple docstring'''







	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(__snake_case							)

		lowerCamelCase__       ,			lowerCamelCase__              =	queue_backward.get()
		visited_backward.add(__snake_case							)

		lowerCamelCase__              =	pass_and_relaxation(
		    __snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,)

		lowerCamelCase__              =	pass_and_relaxation(
		    __snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,__snake_case ,)

		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()



