


import functools
from typing import Any


def 				lowerCamelCase__	(      a	:   str	,  a	:   list[str]				)    ->	bool:





			"""simple docstring"""

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

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

			# Build trie
			a__ :dict[str, Any]						  =    {}
			a__ :str						  =    "WORD_KEEPER"

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

									a__ :str						  =    trie_node[c]

						a__ :Tuple						  =    True

			a__ :Any						  =    len(a				)

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

						a__ :Dict						  =    trie
						for i in range(a	,  a				):
									a__ :List[str]						  =    trie_node.get(string[i]	,  a				)

									if trie_node is None:
												return False

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

						return False

			return is_breakable(0				)


if __name__ == "__main__":
		import doctest

		doctest.testmod()






def 				lowerCamelCase__	(      a	:   int = 100				)    ->	int:





			"""simple docstring"""
			a__ :Tuple						  =    n * (n + 1) * (2 * n + 1) / 6
			a__ :Tuple						  =    (n * (n + 1) / 2) ** 2
			return int(square_of_sum - sum_of_squares				)


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


