
from random import randint, random






def      lowerCamelCase__       (       __lowerCAmelCase						:						Optional[int]					,							__lowerCAmelCase						:						Optional[Any]					,							__lowerCAmelCase						:						Any					,							__lowerCAmelCase						:						Optional[Any] = False					,							__lowerCAmelCase						:						Tuple = False					,							__lowerCAmelCase						:						Any = 5					,							):




			"""simple docstring"""


			lowerCAmelCase_      			=			[[-1] * number_of_cells]  # Create a highway without any car
			lowerCAmelCase_      			=			0
			lowerCAmelCase_      			=			max(lowerCAmelCase_					,							0       )
			while i < number_of_cells:
						lowerCAmelCase_      			=			(
						    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						:						Optional[Any]					,							__lowerCAmelCase						:						Optional[Any]       ):




			"""simple docstring"""


			lowerCAmelCase_      			=			0
			lowerCAmelCase_      			=			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						:						Optional[int]					,							__lowerCAmelCase						:						List[str]					,							__lowerCAmelCase						:						str       ):




			"""simple docstring"""


			lowerCAmelCase_      			=			len(lowerCAmelCase_       )
			# Beforce calculations, the highway is empty
			lowerCAmelCase_      			=			[-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
									lowerCAmelCase_      			=			min(highway_now[car_index] + 1					,							lowerCAmelCase_       )
									# Number of empty cell before the next car
									lowerCAmelCase_      			=			get_distance(lowerCAmelCase_					,							lowerCAmelCase_       ) - 1
									# We can't have the car causing an accident
									lowerCAmelCase_      			=			min(next_highway[car_index]					,							lowerCAmelCase_       )
									if random() < probability:
												# Randomly, a driver will slow down
												lowerCAmelCase_      			=			max(next_highway[car_index] - 1					,							0       )
			return next_highway






def      lowerCamelCase__       (       __lowerCAmelCase						:						Optional[Any]					,							__lowerCAmelCase						:						List[str]					,							__lowerCAmelCase						:						Tuple					,							__lowerCAmelCase						:						Any       ):




			"""simple docstring"""


			lowerCAmelCase_      			=			len(highway[0]       )

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

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

			return highway


if __name__ == "__main__":
							import doctest

							doctest.testmod()





def      lowerCamelCase__       (       __lowerCAmelCase						:						list[list[int]]					,							__lowerCAmelCase						:						int					,							__lowerCAmelCase						:						int					,							__lowerCAmelCase						:						set       ):




			"""simple docstring"""


			lowerCAmelCase_			,						lowerCAmelCase_      			=			len(__lowerCAmelCase       ), len(grid[0]       )
			if (
			    min(__lowerCAmelCase					,							__lowerCAmelCase       ) < 0
			    or row == row_length
			    or col == col_length
			    or (row, col) in visit
			    or grid[row][col] == 1
			):
						return 0
			if row == row_length - 1 and col == col_length - 1:
						return 1

			visit.add((row, col)       )

			lowerCAmelCase_      			=			0
			count += depth_first_search(__lowerCAmelCase					,							row + 1					,							__lowerCAmelCase					,							__lowerCAmelCase       )
			count += depth_first_search(__lowerCAmelCase					,							row - 1					,							__lowerCAmelCase					,							__lowerCAmelCase       )
			count += depth_first_search(__lowerCAmelCase					,							__lowerCAmelCase					,							col + 1					,							__lowerCAmelCase       )
			count += depth_first_search(__lowerCAmelCase					,							__lowerCAmelCase					,							col - 1					,							__lowerCAmelCase       )

			visit.remove((row, col)       )
			return count


if __name__ == "__main__":
			import doctest

			doctest.testmod()



