




class 						__lowerCAmelCase      :
							def __init__(		self		:Optional[int]							):







								'''simple docstring'''







								a									=				{}  # Mapping from char to TrieNode
								a									=				False
							def  lowerCamelCase__				(		self		:List[str]						, __magic_name__		:list[str]							):







								'''simple docstring'''







								for word in words:
									self.insert(_lowercase							)
							def  lowerCamelCase__				(		self		:List[str]						, __magic_name__		:str							):







								'''simple docstring'''







								a									=				self
								for char in word:
									if char not in curr.nodes:
										a									=				TrieNode()
									a									=				curr.nodes[char]
								a									=				True
							def  lowerCamelCase__				(		self		:Any						, __magic_name__		:str							):







								'''simple docstring'''







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





							def  lowerCamelCase__				(		self		:Optional[Any]						, __magic_name__		:str							):







								'''simple docstring'''







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

								_delete(self						, _lowercase						, 0							)







def 						__A						(      __lowerCamelCase				,     __lowerCamelCase       ) ->			Tuple:






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

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





def 						__A						(      ) ->			Tuple:
	a									=				"banana bananas bandana band apple all beast".split()
	a									=				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       ) ->			Tuple:
	print(str(lowerCamelCase_       )				,     """works!""" if passes else """doesn't work :("""       )





def 						__A						(      ) ->			List[Any]:
	assert test_trie()





def 						__A						(      ) ->			Any:
	print_results("""Testing trie functionality"""				,     test_trie()       )


if __name__ == "__main__":
		main()






"""simple docstring"""







import math
import sys

def  __SCREAMING_SNAKE_CASE		(			lowerCamelCase_:							int ):
						"""simple docstring"""






						if number != int(lowerCamelCase_ ):
												raise ValueError("the value of input must be a natural number" )
						if number < 0:
												raise ValueError("the value of input must not be a negative number" )
						if number == 0:
												return 1
						snake_case   :			List[str]						    = [-1] * (number + 1)
						snake_case   :			str						    = 0
						for i in range(1     ,		number + 1 ):
												snake_case   :			Tuple						    = sys.maxsize
												snake_case   :			Optional[Any]						    = int(math.sqrt(lowerCamelCase_ ) )
												for j in range(1     ,		root + 1 ):
																		snake_case   :			List[str]						    = 1 + answers[i - (j**2)]
																		snake_case   :			List[str]						    = min(lowerCamelCase_     ,		lowerCamelCase_ )
												snake_case   :			Dict						    = answer
						return answers[number]


if __name__ == "__main__":
			import doctest

			doctest.testmod()



