



from random import randint, random





def 							A			(  _UpperCAmelCase       :     int							,     _UpperCAmelCase       :     int							,     _UpperCAmelCase       :     int							,     _UpperCAmelCase       :     bool = False							,     _UpperCAmelCase       :     bool = False							,     _UpperCAmelCase       :     int = 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 							A			(  _UpperCAmelCase       :     list							,     _UpperCAmelCase       :     int					)       ->				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 							A			(  _UpperCAmelCase       :     list							,     _UpperCAmelCase       :     float							,     _UpperCAmelCase       :     int					)       ->				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 							A			(  _UpperCAmelCase       :     list							,     _UpperCAmelCase       :     int							,     _UpperCAmelCase       :     float							,     _UpperCAmelCase       :     int					)       ->				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()





def 							A			(  _UpperCAmelCase       :     int							,     _UpperCAmelCase       :     int					)       ->				str:







			'''simple docstring'''
			if a < 0 or b < 0:
						raise ValueError('the value of both inputs must be positive'					)

			_UpperCAmelCase	 =     str(bin(_UpperCAmelCase					)					)[2:]  # remove the leading "0b"
			_UpperCAmelCase	 =     str(bin(_UpperCAmelCase					)					)[2:]  # remove the leading "0b"

			_UpperCAmelCase	 =     max(len(_UpperCAmelCase					)							,     len(_UpperCAmelCase					)					)

			return "0b" + "".join(
			    str(int(char_a != char_b					)					)
			    for char_a, char_b in zip(a_binary.zfill(_UpperCAmelCase					)							,     b_binary.zfill(_UpperCAmelCase					)					)					)


if __name__ == "__main__":
							import doctest

							doctest.testmod()
