
"""simple docstring"""




from random import randint, random



def     __magic_name__		(					UpperCamelCase     :		int							,		UpperCamelCase     :		int							,		UpperCamelCase     :		int							,		UpperCamelCase     :		bool = False							,		UpperCamelCase     :		bool = False							,		UpperCamelCase     :		int = 5							,		)     ->						list:
    a__		=			[[-1] * number_of_cells]  # Create a highway without any car
    a__		=			0
    a__		=			max(UpperCamelCase							,		0     )
    while i < number_of_cells:
        a__		=			(
            randint(0							,		UpperCamelCase     ) 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     __magic_name__		(					UpperCamelCase     :		list							,		UpperCamelCase     :		int     )     ->						int:
    a__		=			0
    a__		=			highway_now[car_index + 1 :]
    for cell in range(len(UpperCamelCase     )     ):  # 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(UpperCamelCase							,		-1     )



def     __magic_name__		(					UpperCamelCase     :		list							,		UpperCamelCase     :		float							,		UpperCamelCase     :		int     )     ->						list:
    a__		=			len(UpperCamelCase     )
    # Beforce calculations, the highway is empty
    a__		=			[-1] * number_of_cells

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



def     __magic_name__		(					UpperCamelCase     :		list							,		UpperCamelCase     :		int							,		UpperCamelCase     :		float							,		UpperCamelCase     :		int     )     ->						list:
    a__		=			len(highway[0]     )

    for i in range(UpperCamelCase     ):
        a__		=			update(highway[i]							,		UpperCamelCase							,		UpperCamelCase     )
        a__		=			[-1] * number_of_cells

        for car_index in range(UpperCamelCase     ):
            a__		=			next_speeds_calculated[car_index]
            if speed != -1:
                # Change the position based on the speed (with % to create the loop)
                a__		=			(car_index + speed) % number_of_cells
                # Commit the change of position
                a__		=			speed
        highway.append(UpperCamelCase     )

    return highway


if __name__ == "__main__":
    import doctest

    doctest.testmod()




"""simple docstring"""




from __future__ import annotations

a		:       str     						=       {
    'A': ['B', 'C', 'E'],
    'B': ['A', 'D', 'E'],
    'C': ['A', 'F', 'G'],
    'D': ['B'],
    'E': ['A', 'B', 'D'],
    'F': ['C'],
    'G': ['C'],
}







class     lowercase:



     def __init__(							self     ,				__SCREAMING_SNAKE_CASE     ,				__SCREAMING_SNAKE_CASE   )		->     None:







         """simple docstring"""



         a__		=			graph
         # mapping node to its parent in resulting breadth first tree
         a__		=			{}
         a__		=			source_vertex



     def 			lowercase__  (							self   )		->     None:







         """simple docstring"""



         a__		=			{self.source_vertex}
         a__		=			None
         a__		=			[self.source_vertex]  # first in first out queue

         while queue:
             a__		=			queue.pop(0   )
             for adjacent_vertex in self.graph[vertex]:
                 if adjacent_vertex not in visited:
                     visited.add(__SCREAMING_SNAKE_CASE   )
                     a__		=			vertex
                     queue.append(__SCREAMING_SNAKE_CASE   )




     def 			lowercase__  (							self     ,				__SCREAMING_SNAKE_CASE   )		->     str:







         """simple docstring"""



         if target_vertex == self.source_vertex:
             return self.source_vertex

         a__		=			self.parent.get(__SCREAMING_SNAKE_CASE   )
         if target_vertex_parent is None:
             a__		=			(
                 f'No path from vertex: {self.source_vertex} to vertex: {target_vertex}'
             )
             raise ValueError(__SCREAMING_SNAKE_CASE   )

         return self.shortest_path(__SCREAMING_SNAKE_CASE   ) + f'->{target_vertex}'


if __name__ == "__main__":
    a		:       Optional[Any]     						=       Graph(graph, 'G')
    g.breath_first_search()
    print(g.shortest_path('D'))
    print(g.shortest_path('G'))
    print(g.shortest_path('Foo'))


