




'''simple docstring'''






from random import randint, random






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






def 		UpperCamelCase__      (		__SCREAMING_SNAKE_CASE				,      __SCREAMING_SNAKE_CASE				,      __SCREAMING_SNAKE_CASE		)    ->   list:
      snake_case__       :   List[Any]	      =    len(__SCREAMING_SNAKE_CASE		)
      # Beforce calculations, the highway is empty
      snake_case__       :   Dict	      =    [-1] * number_of_cells

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






def 		UpperCamelCase__      (		__SCREAMING_SNAKE_CASE				,      __SCREAMING_SNAKE_CASE				,      __SCREAMING_SNAKE_CASE				,      __SCREAMING_SNAKE_CASE		)    ->   list:
      snake_case__       :   Any	      =    len(highway[0]		)

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

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

      return highway


if __name__ == "__main__":
      import doctest

      doctest.testmod()






'''simple docstring'''






import functools






def 		UpperCamelCase__      (		__SCREAMING_SNAKE_CASE				,      __SCREAMING_SNAKE_CASE		)    ->   int:
      snake_case__       :   Any	      =    len(__SCREAMING_SNAKE_CASE		)
      snake_case__       :   List[str]	      =    len(__SCREAMING_SNAKE_CASE		)

      @functools.cache
      def min_distance(__SCREAMING_SNAKE_CASE				,      __SCREAMING_SNAKE_CASE		) -> int:
            # if first word index is overflow - delete all from the second word
            if indexa >= len_worda:
                  return len_worda - indexa
            # if second word index is overflow - delete all from the first word
            if indexa >= len_worda:
                  return len_worda - indexa
            snake_case__       :   Union[str, Any]	      =    int(worda[indexa] != worda[indexa]		)  # current letters not identical
            return min(
                1 + min_distance(indexa + 1				,      __SCREAMING_SNAKE_CASE		)				,      1 + min_distance(__SCREAMING_SNAKE_CASE				,      indexa + 1		)				,      diff + min_distance(indexa + 1				,      indexa + 1		)				,      )

      return min_distance(0				,      0		)


if __name__ == "__main__":
      import doctest

      doctest.testmod()
