class   lowercase      :




							def __init__(  self				:   Optional[int] )   ->			None:



												'''simple docstring'''

												SCREAMING_SNAKE_CASE           =    {}  # Mapping from char to TrieNode
												SCREAMING_SNAKE_CASE           =    False




							def 		__snake_case(  self				:   int		,							_UpperCamelCase				:   list[str] )   ->			None:



												'''simple docstring'''

												for word in words:
																	self.insert(_UpperCamelCase )




							def 		__snake_case(  self				:   Optional[int]		,							_UpperCamelCase				:   str )   ->			None:



												'''simple docstring'''

												SCREAMING_SNAKE_CASE           =    self
												for char in word:
																	if char not in curr.nodes:
																						SCREAMING_SNAKE_CASE           =    TrieNode()
																	SCREAMING_SNAKE_CASE           =    curr.nodes[char]
												SCREAMING_SNAKE_CASE           =    True




							def 		__snake_case(  self				:   str		,							_UpperCamelCase				:   str )   ->			bool:



												'''simple docstring'''

												SCREAMING_SNAKE_CASE           =    self
												for char in word:
																	if char not in curr.nodes:
																						return False
																	SCREAMING_SNAKE_CASE           =    curr.nodes[char]
												return curr.is_leaf





							def 		__snake_case(  self				:   Optional[int]		,							_UpperCamelCase				:   str )   ->			None:



												'''simple docstring'''

												def _delete(_UpperCamelCase				:   TrieNode		,							_UpperCamelCase				:   str		,							_UpperCamelCase				:   int ) -> bool:
																	if index == len(_UpperCamelCase ):
																						# If word does not exist
																						if not curr.is_leaf:
																											return False
																						SCREAMING_SNAKE_CASE           =    False
																						return len(curr.nodes ) == 0
																	SCREAMING_SNAKE_CASE           =    word[index]
																	SCREAMING_SNAKE_CASE           =    curr.nodes.get(_UpperCamelCase )
																	# If char not in current trie node
																	if not char_node:
																						return False
																	# Flag to check if node can be deleted
																	SCREAMING_SNAKE_CASE           =    _delete(_UpperCamelCase		,							_UpperCamelCase		,							index + 1 )
																	if delete_curr:
																						del curr.nodes[char]
																						return len(curr.nodes ) == 0
																	return delete_curr

												_delete(self		,							_UpperCamelCase		,							0 )





def 		__lowerCamelCase							(UpperCAmelCase__       :							TrieNode ,	UpperCAmelCase__       :							str					):
					if node.is_leaf:
										print(UpperCAmelCase__ ,	end=" "					)

					for key, value in node.nodes.items():
										print_words(UpperCAmelCase__ ,	word + key					)





def 		__lowerCamelCase							():
					SCREAMING_SNAKE_CASE           =    "banana bananas bandana band apple all beast".split()
					SCREAMING_SNAKE_CASE           =    TrieNode()
					root.insert_many(UpperCAmelCase__					)
					# print_words(root, "")
					assert all(root.find(UpperCAmelCase__					) for word in words					)
					assert root.find("banana"					)
					assert not root.find("bandanas"					)
					assert not root.find("apps"					)
					assert root.find("apple"					)
					assert root.find("all"					)
					root.delete("all"					)
					assert not root.find("all"					)
					root.delete("banana"					)
					assert not root.find("banana"					)
					assert root.find("bananas"					)
					return True





def 		__lowerCamelCase							(UpperCAmelCase__       :							str ,	UpperCAmelCase__       :							bool					):
					print(str(UpperCAmelCase__					) ,	"works!" if passes else "doesn't work :("					)





def 		__lowerCamelCase							():
					assert test_trie()





def 		__lowerCamelCase							():
					print_results("Testing trie functionality" ,	test_trie()					)


if __name__ == "__main__":
							main()





from random import randint, random





def 		__lowerCamelCase							(UpperCAmelCase__       :							int ,	UpperCAmelCase__       :							int ,	UpperCAmelCase__       :							int ,	UpperCAmelCase__       :							bool = False ,	UpperCAmelCase__       :							bool = False ,	UpperCAmelCase__       :							int = 5 ,	):
					SCREAMING_SNAKE_CASE           =    [[-1] * number_of_cells]  # Create a highway without any car
					SCREAMING_SNAKE_CASE           =    0
					SCREAMING_SNAKE_CASE           =    max(UpperCAmelCase__ ,	0					)
					while i < number_of_cells:
										SCREAMING_SNAKE_CASE           =    (
										    randint(0 ,	UpperCAmelCase__					) 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							(UpperCAmelCase__       :							list ,	UpperCAmelCase__       :							int					):
					SCREAMING_SNAKE_CASE           =    0
					SCREAMING_SNAKE_CASE           =    highway_now[car_index + 1 :]
					for cell in range(len(UpperCAmelCase__					)					):  # 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(UpperCAmelCase__ ,	-1					)





def 		__lowerCamelCase							(UpperCAmelCase__       :							list ,	UpperCAmelCase__       :							float ,	UpperCAmelCase__       :							int					):
					SCREAMING_SNAKE_CASE           =    len(UpperCAmelCase__					)
					# Beforce calculations, the highway is empty
					SCREAMING_SNAKE_CASE           =    [-1] * number_of_cells

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





def 		__lowerCamelCase							(UpperCAmelCase__       :							list ,	UpperCAmelCase__       :							int ,	UpperCAmelCase__       :							float ,	UpperCAmelCase__       :							int					):
					SCREAMING_SNAKE_CASE           =    len(highway[0]					)

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

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

					return highway


if __name__ == "__main__":
							import doctest

							doctest.testmod()




