
"""simple docstring"""



from random import randint, random


def  _UpperCamelCase	(						_A					,      _A					,      _A					,      _A = False					,      _A = False					,      _A = 5					,      )    ->  list:





    """simple docstring"""

    _UpperCAmelCase          =   [[-1] * number_of_cells]  # Create a highway without any car
    _UpperCAmelCase          =   0
    _UpperCAmelCase          =   max(_A					,      0      )
    while i < number_of_cells:
        _UpperCAmelCase          =   (
            randint(0					,      _A      ) 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  _UpperCamelCase	(						_A					,      _A      )    ->  int:





    """simple docstring"""

    _UpperCAmelCase          =   0
    _UpperCAmelCase          =   highway_now[car_index + 1 :]
    for cell in range(len(_A      )      ):  # 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(_A					,      -1      )


def  _UpperCamelCase	(						_A					,      _A					,      _A      )    ->  list:





    """simple docstring"""

    _UpperCAmelCase          =   len(_A      )
    # Beforce calculations, the highway is empty
    _UpperCAmelCase          =   [-1] * number_of_cells

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


def  _UpperCamelCase	(						_A					,      _A					,      _A					,      _A      )    ->  list:





    """simple docstring"""

    _UpperCAmelCase          =   len(highway[0]      )

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

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

    return highway


if __name__ == "__main__":
 import doctest

 doctest.testmod()

"""simple docstring"""



from __future__ import annotations


def  _UpperCamelCase	(						_A      )    ->  None:





    """simple docstring"""

    create_state_space_tree(_A					,      []					,      0					,      [0 for i in range(len(_A      )      )]      )


def  _UpperCamelCase	(						_A					,      _A					,      _A					,      _A					,      )    ->  None:





    """simple docstring"""

    if index == len(_A      ):
        print(_A      )
        return

    for i in range(len(_A      )      ):
        if not index_used[i]:
            current_sequence.append(sequence[i]      )
            _UpperCAmelCase          =   True
            create_state_space_tree(_A					,      _A					,      index + 1					,      _A      )
            current_sequence.pop()
            _UpperCAmelCase          =   False
a					:	list[int | str]							=		[3, 1, 2, 4]
generate_all_permutations(sequence)

a					:	list[int | str]							=		["A", "B", "C"]







generate_all_permutations(sequence_a)