





'''simple docstring'''






class  _A :

		def __init__(   self					:   List[str]			)					->    None:


					"""simple docstring"""

					__snake_case					:      dict[str, TrieNode]							      =     {}  # Mapping from char to TrieNode
					__snake_case					:      Optional[int]							      =     False

		def 	lowercase__     (   self					:   Union[str, Any]  ,      __magic_name__					:   list[str]			)					->    None:


					"""simple docstring"""

					for word in words:
								self.insert(__magic_name__			)

		def 	lowercase__     (   self					:   Any  ,      __magic_name__					:   str			)					->    None:


					"""simple docstring"""

					__snake_case					:      Any							      =     self
					for char in word:
								if char not in curr.nodes:
											__snake_case					:      Dict							      =     TrieNode()
								__snake_case					:      Any							      =     curr.nodes[char]
					__snake_case					:      Tuple							      =     True

		def 	lowercase__     (   self					:   Dict  ,      __magic_name__					:   str			)					->    bool:


					"""simple docstring"""

					__snake_case					:      Optional[int]							      =     self
					for char in word:
								if char not in curr.nodes:
											return False
								__snake_case					:      Tuple							      =     curr.nodes[char]
					return curr.is_leaf

		def 	lowercase__     (   self					:   List[str]  ,      __magic_name__					:   str			)					->    None:


					"""simple docstring"""

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

					_delete(self  ,      __magic_name__  ,      0			)







def 					_a						(       _lowerCamelCase    ,	_lowerCamelCase ) ->				None:



			"""simple docstring"""


			if node.is_leaf:
						print(_lowerCamelCase    ,	end=""" """ )

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







def 					_a						(       ) ->				bool:



			"""simple docstring"""


			__snake_case					:      str							      =     """banana bananas bandana band apple all beast""".split()
			__snake_case					:      List[str]							      =     TrieNode()
			root.insert_many(_lowerCamelCase )
			# print_words(root, "")
			assert all(root.find(_lowerCamelCase ) 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 					_a						(       _lowerCamelCase    ,	_lowerCamelCase ) ->				None:



			"""simple docstring"""


			print(str(_lowerCamelCase )    ,	"""works!""" if passes else """doesn't work :(""" )







def 					_a						(       ) ->				None:



			"""simple docstring"""


			assert test_trie()







def 					_a						(       ) ->				None:



			"""simple docstring"""


			print_results("""Testing trie functionality"""    ,	test_trie() )


if __name__ == "__main__":
	main()









'''simple docstring'''






from __future__ import annotations

import math







def 					_a						(       _lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase ) ->				int:



			"""simple docstring"""


			if depth < 0:
						raise ValueError("""Depth cannot be less than 0""" )

			if not scores:
						raise ValueError("""Scores cannot be empty""" )

			if depth == height:
						return scores[node_index]

			return (
			    max(
			        minimax(depth + 1    ,	node_index * 2    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )    ,	minimax(depth + 1    ,	node_index * 2 + 1    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )    ,	)
			    if is_max
			    else min(
			        minimax(depth + 1    ,	node_index * 2    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )    ,	minimax(depth + 1    ,	node_index * 2 + 1    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )    ,	)
			)







def 					_a						(       ) ->				None:



			"""simple docstring"""


			__snake_case					:      Union[str, Any]							      =     [90, 23, 6, 33, 21, 65, 123, 3_4423]
			__snake_case					:      Optional[int]							      =     math.log(len(_lowerCamelCase )    ,	2 )
			print(F'''Optimal value : {minimax(0    ,	0    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )}''' )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()


