





'''simple docstring'''






from random import randint, random





def       lowercase_      (		lowercase__				,  lowercase__				,  lowercase__				,  lowercase__ = False				,  lowercase__ = False				,  lowercase__ = 5				,  )   ->list:
						_snake_case:   Dict  					=		[[-1] * number_of_cells]  # Create a highway without any car
						_snake_case:   List[Any]  					=		0
						_snake_case:   Optional[Any]  					=		max(lowercase__				,  0						)
						while i < number_of_cells:
												_snake_case:   Union[str, Any]  					=		(
												    randint(0				,  lowercase__						) 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       lowercase_      (		lowercase__				,  lowercase__						)   ->int:
						_snake_case:   Optional[int]  					=		0
						_snake_case:   str  					=		highway_now[car_index + 1 :]
						for cell in range(len(lowercase__						)						):  # 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(lowercase__				,  -1						)





def       lowercase_      (		lowercase__				,  lowercase__				,  lowercase__						)   ->list:
						_snake_case:   Optional[int]  					=		len(lowercase__						)
						# Beforce calculations, the highway is empty
						_snake_case:   Tuple  					=		[-1] * number_of_cells

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





def       lowercase_      (		lowercase__				,  lowercase__				,  lowercase__				,  lowercase__						)   ->list:
						_snake_case:   List[Any]  					=		len(highway[0]						)

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

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

						return highway


if __name__ == "__main__":
		import doctest

		doctest.testmod()












'''simple docstring'''






def       lowercase_      (		lowercase__ = 1				,  lowercase__ = 1000						)   ->int:
						_snake_case:   int  					=		1
						_snake_case:   Union[str, Any]  					=		0

						for divide_by_number in range(lowercase__				,  digit + 1						):
												_snake_case:   list[int]  					=		[]
												_snake_case:   int  					=		numerator
												for _ in range(1				,  digit + 1						):
																		if now_divide in has_been_divided:
																								if longest_list_length < len(lowercase__						):
																														_snake_case:   Union[str, Any]  					=		len(lowercase__						)
																														_snake_case:   Tuple  					=		divide_by_number
																		else:
																								has_been_divided.append(lowercase__						)
																								_snake_case:   Union[str, Any]  					=		now_divide * 10 % divide_by_number

						return the_digit


# Tests
if __name__ == "__main__":
		import doctest

		doctest.testmod()





