





from queue import PriorityQueue
from typing import Any

import numpy as np


def     lowerCamelCase_	(      lowerCAmelCase:	Union[str, Any]    ,							lowerCAmelCase:	Optional[int]    ,							lowerCAmelCase:	Union[str, Any]    ,							lowerCAmelCase:	int    ,							lowerCAmelCase:	List[Any]    ,							lowerCAmelCase:	List[Any]    ,							lowerCAmelCase:	List[Any]    ,							lowerCAmelCase:	str    ,							lowerCAmelCase:	int    ,							)->		float | int:





  for nxt, d in graph[v]:
    if nxt in visited_forward:
      continue
    _snake_case   :				Tuple														=	cst_fwd.get(UpperCamelCase__    ,							np.inf				)
    _snake_case   :				int														=	cst_fwd[v] + d
    if new_cost_f < old_cost_f:
      queue.put((new_cost_f, nxt)				)
      _snake_case   :				List[Any]														=	new_cost_f
      _snake_case   :				Dict														=	v
    if nxt in visited_backward:
      if cst_fwd[v] + d + cst_bwd[nxt] < shortest_distance:
        _snake_case   :				int														=	cst_fwd[v] + d + cst_bwd[nxt]
  return shortest_distance


def     lowerCamelCase_	(      lowerCAmelCase:	List[Any]    ,							lowerCAmelCase:	List[Any]    ,							lowerCAmelCase:	Union[str, Any]    ,							lowerCAmelCase:	Union[str, Any]				)->		int:
  _snake_case   :				Union[str, Any]														=	-1

  _snake_case   :				Dict														=	set()
  _snake_case   :				Optional[int]														=	set()
  _snake_case   :				List[str]														=	{source: 0}
  _snake_case   :				Any														=	{destination: 0}
  _snake_case   :				int														=	{source: None}
  _snake_case   :				Any														=	{destination: None}
  _snake_case   :				Union[str, Any]														=	PriorityQueue()
  _snake_case   :				Tuple														=	PriorityQueue()

  _snake_case   :				List[Any]														=	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():
    _snake_case							,					_snake_case   :				List[Any]														=	queue_forward.get()
    visited_forward.add(UpperCamelCase__				)

    _snake_case							,					_snake_case   :				Any														=	queue_backward.get()
    visited_backward.add(UpperCamelCase__				)

    _snake_case   :				Tuple														=	pass_and_relaxation(
        UpperCamelCase__    ,							UpperCamelCase__    ,							UpperCamelCase__    ,							UpperCamelCase__    ,							UpperCamelCase__    ,							UpperCamelCase__    ,							UpperCamelCase__    ,							UpperCamelCase__    ,							UpperCamelCase__    ,							)

    _snake_case   :				Union[str, Any]														=	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:
    _snake_case   :				int														=	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()











from random import randint, random


def     lowerCamelCase_	(      lowerCAmelCase:	int    ,							lowerCAmelCase:	int    ,							lowerCAmelCase:	int    ,							lowerCAmelCase:	bool = False    ,							lowerCAmelCase:	bool = False    ,							lowerCAmelCase:	int = 5    ,							)->		list:
  _snake_case   :				Dict														=	[[-1] * number_of_cells]  # Create a highway without any car
  _snake_case   :				List[str]														=	0
  _snake_case   :				List[str]														=	max(lowerCAmelCase    ,							0				)
  while i < number_of_cells:
    _snake_case   :				Optional[Any]														=	(
        randint(0    ,							lowerCAmelCase				) if random_speed else initial_speed
    )  # Place the cars
    i += (
        randint(1    ,							max_speed * 2				) if random_frequency else frequency
    )  # Arbitrary number, may need tuning
  return highway


def     lowerCamelCase_	(      lowerCAmelCase:	list    ,							lowerCAmelCase:	int				)->		int:
  _snake_case   :				Dict														=	0
  _snake_case   :				Optional[Any]														=	highway_now[car_index + 1 :]
  for cell in range(len(lowerCAmelCase				)				):  # May need a better name for this
    if cells[cell] != -1:  # If the cell is not empty then
      return distance  # we have the distance we wanted
    distance += 1
  # Here if the car is near the end of the highway
  return distance + get_distance(lowerCAmelCase    ,							-1				)


def     lowerCamelCase_	(      lowerCAmelCase:	list    ,							lowerCAmelCase:	float    ,							lowerCAmelCase:	int				)->		list:
  _snake_case   :				List[Any]														=	len(lowerCAmelCase				)
  # Beforce calculations, the highway is empty
  _snake_case   :				List[Any]														=	[-1] * number_of_cells

  for car_index in range(lowerCAmelCase				):
    if highway_now[car_index] != -1:
      # Add 1 to the current speed of the car and cap the speed
      _snake_case   :				int														=	min(highway_now[car_index] + 1    ,							lowerCAmelCase				)
      # Number of empty cell before the next car
      _snake_case   :				Tuple														=	get_distance(lowerCAmelCase    ,							lowerCAmelCase				) - 1
      # We can't have the car causing an accident
      _snake_case   :				Union[str, Any]														=	min(next_highway[car_index]    ,							lowerCAmelCase				)
      if random() < probability:
        # Randomly, a driver will slow down
        _snake_case   :				int														=	max(next_highway[car_index] - 1    ,							0				)
  return next_highway


def     lowerCamelCase_	(      lowerCAmelCase:	list    ,							lowerCAmelCase:	int    ,							lowerCAmelCase:	float    ,							lowerCAmelCase:	int				)->		list:
  _snake_case   :				Dict														=	len(highway[0]				)

  for i in range(lowerCAmelCase				):
    _snake_case   :				Any														=	update(highway[i]    ,							lowerCAmelCase    ,							lowerCAmelCase				)
    _snake_case   :				Tuple														=	[-1] * number_of_cells

    for car_index in range(lowerCAmelCase				):
      _snake_case   :				Union[str, Any]														=	next_speeds_calculated[car_index]
      if speed != -1:
        # Change the position based on the speed (with % to create the loop)
        _snake_case   :				Union[str, Any]														=	(car_index + speed) % number_of_cells
        # Commit the change of position
        _snake_case   :				Tuple														=	speed
    highway.append(lowerCAmelCase				)

  return highway


if __name__ == "__main__":
      import doctest

      doctest.testmod()




