"""simple docstring"""

def      lowercase		(						a__	:		List[Any] = 2000000     )						->   int:
					_UpperCamelCase      						=	[0 for i in range(n + 1     )]
					_UpperCamelCase      						=	1
					_UpperCamelCase      						=	1

					for i in range(2 ,  int(n**0.5     ) + 1     ):
										if primality_list[i] == 0:
															for j in range(i * i ,  n + 1 ,  _A     ):
																				_UpperCamelCase      						=	1
					_UpperCamelCase      						=	0
					for i in range(_A     ):
										if primality_list[i] == 0:
															sum_of_primes += i
					return sum_of_primes


if __name__ == "__main__":
		print(F'''{solution() = }''')






class 		UpperCAmelCase   :







						'''simple docstring'''





						def __init__(						self							:     Dict						):






							"""simple docstring"""






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






						def        snake_case__						(						self							:     Dict       ,	__lowercase							:     list[str]						):






							"""simple docstring"""






							for word in words:
								self.insert(__lowercase						)






						def        snake_case__						(						self							:     List[str]       ,	__lowercase							:     str						):






							"""simple docstring"""






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






						def        snake_case__						(						self							:     List[Any]       ,	__lowercase							:     str						):






							"""simple docstring"""






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






						def        snake_case__						(						self							:     Optional[Any]       ,	__lowercase							:     str						):






							"""simple docstring"""






							def _delete(__lowercase							:     TrieNode       ,	__lowercase							:     str       ,	__lowercase							:     int						) -> bool:
								if index == len(__lowercase						):
									# If word does not exist
									if not curr.is_leaf:
										return False
									snake_case_		    =     False
									return len(curr.nodes						) == 0
								snake_case_		    =     word[index]
								snake_case_		    =     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
								snake_case_		    =     _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 						lowerCamelCase__    (		_A     ,	_A							):







	'''simple docstring'''





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

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


def 						lowerCamelCase__    (		):







	'''simple docstring'''





	snake_case_		    =     "banana bananas bandana band apple all beast".split()
	snake_case_		    =     TrieNode()
	root.insert_many(_A							)
	# print_words(root, "")
	assert all(root.find(_A							) 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__    (		_A     ,	_A							):







	'''simple docstring'''





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


def 						lowerCamelCase__    (		):







	'''simple docstring'''





	assert test_trie()


def 						lowerCamelCase__    (		):







	'''simple docstring'''





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


if __name__ == "__main__":
		main()
