
'''simple docstring'''
import functools
from typing import Any






def  __SCREAMING_SNAKE_CASE				(  _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				):

							# Validation
							if not isinstance(_SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				) or len(_SCREAMING_SNAKE_CASE				) == 0:
														raise ValueError("""the string should be not empty string"""				)

							if not isinstance(_SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				) or not all(
							    isinstance(_SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				) and len(_SCREAMING_SNAKE_CASE				) > 0 for item in words				):
														raise ValueError("""the words should be a list of non-empty strings"""				)

							# Build trie
							_snake_case       =  {}
							_snake_case       =  """WORD_KEEPER"""

							for word in words:
														_snake_case       =  trie
														for c in word:
																					if c not in trie_node:
																												_snake_case       =  {}

																					_snake_case       =  trie_node[c]

														_snake_case       =  True

							_snake_case       =  len(_SCREAMING_SNAKE_CASE				)

							# Dynamic programming method
							@functools.cache
							def is_breakable(_SCREAMING_SNAKE_CASE				) -> bool:
														if index == len_string:
																					return True

														_snake_case       =  trie
														for i in range(_SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				):
																					_snake_case       =  trie_node.get(string[i]							, _SCREAMING_SNAKE_CASE				)

																					if trie_node is None:
																												return False

																					if trie_node.get(_SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				) and is_breakable(i + 1				):
																												return True

														return False

							return is_breakable(0				)


if __name__ == "__main__":
				import doctest

				doctest.testmod()

'''simple docstring'''
from random import randint, random






def  __SCREAMING_SNAKE_CASE				(  _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE = False							, _SCREAMING_SNAKE_CASE = False							, _SCREAMING_SNAKE_CASE = 5							, ):
							_snake_case       =  [[-1] * number_of_cells]  # Create a highway without any car
							_snake_case       =  0
							_snake_case       =  max(_SCREAMING_SNAKE_CASE							, 0				)
							while i < number_of_cells:
														_snake_case       =  (
														    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  __SCREAMING_SNAKE_CASE				(  _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				):
							_snake_case       =  0
							_snake_case       =  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  __SCREAMING_SNAKE_CASE				(  _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				):
							_snake_case       =  len(_SCREAMING_SNAKE_CASE				)
							# Beforce calculations, the highway is empty
							_snake_case       =  [-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       =  min(highway_now[car_index] + 1							, _SCREAMING_SNAKE_CASE				)
																					# Number of empty cell before the next car
																					_snake_case       =  get_distance(_SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				) - 1
																					# We can't have the car causing an accident
																					_snake_case       =  min(next_highway[car_index]							, _SCREAMING_SNAKE_CASE				)
																					if random() < probability:
																												# Randomly, a driver will slow down
																												_snake_case       =  max(next_highway[car_index] - 1							, 0				)
							return next_highway






def  __SCREAMING_SNAKE_CASE				(  _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE							, _SCREAMING_SNAKE_CASE				):
							_snake_case       =  len(highway[0]				)

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

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

							return highway


if __name__ == "__main__":
				import doctest

				doctest.testmod()