

from queue import PriorityQueue
from typing import Any

import numpy as np



def    _lowercase			(	a__						:			Optional[int]							,  a__						:			Tuple							,  a__						:			Dict							,  a__						:			str							,  a__						:			Optional[Any]							,  a__						:			Any							,  a__						:			Dict							,  a__						:			List[str]							,  a__						:			Dict							,  )							->					Dict:





	"""simple docstring"""


	for nxt, d in graph[v]:
		if nxt in visited_forward:
			continue
		_UpperCamelCase			=   cst_fwd.get(_UpperCamelCase							,  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    _lowercase			(	a__						:			Optional[int]							,  a__						:			List[str]							,  a__						:			Optional[int]							,  a__						:			Tuple					)							->					Optional[Any]:





	"""simple docstring"""


	_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	,				_UpperCamelCase			=   queue_forward.get()
		visited_forward.add(_UpperCamelCase					)

		_UpperCamelCase	,				_UpperCamelCase			=   queue_backward.get()
		visited_backward.add(_UpperCamelCase					)

		_UpperCamelCase			=   pass_and_relaxation(
		    _UpperCamelCase							,  _UpperCamelCase							,  _UpperCamelCase							,  _UpperCamelCase							,  _UpperCamelCase							,  _UpperCamelCase							,  _UpperCamelCase							,  _UpperCamelCase							,  _UpperCamelCase							,  )

		_UpperCamelCase			=   pass_and_relaxation(
		    _UpperCamelCase							,  _UpperCamelCase							,  _UpperCamelCase							,  _UpperCamelCase							,  _UpperCamelCase							,  _UpperCamelCase							,  _UpperCamelCase							,  _UpperCamelCase							,  _UpperCamelCase							,  )

		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()








import copy
from dataclasses import dataclass
from pathlib import Path
from typing import Dict, Optional, Union
@dataclass
class 						lowerCamelCase_							:



					'''simple docstring'''







					__UpperCAmelCase							  =					None
					__UpperCAmelCase							  =					False
					__UpperCAmelCase							  =					False
					__UpperCAmelCase							  =					False
					__UpperCAmelCase							  =					None
					__UpperCAmelCase							  =					None
					__UpperCAmelCase							  =					False
					__UpperCAmelCase							  =					False
					__UpperCAmelCase							  =					False
					__UpperCAmelCase							  =					True
					__UpperCAmelCase							  =					None
					__UpperCAmelCase							  =					1
					__UpperCAmelCase							  =					None
					__UpperCAmelCase							  =					False
					__UpperCAmelCase							  =					None
					__UpperCAmelCase							  =					None






					def A   (					self    ) ->      "DownloadConfig":







								'''simple docstring'''

								return self.__class__(**{k: copy.deepcopy(snake_case_    ) for k, v in self.__dict__.items()}    )


