


import functools
from typing import Any
def 			_a (      SCREAMING_SNAKE_CASE						,				SCREAMING_SNAKE_CASE     ):


		"""simple docstring"""




		if not isinstance(SCREAMING_SNAKE_CASE						,				SCREAMING_SNAKE_CASE     ) or len(SCREAMING_SNAKE_CASE     ) == 0:
				raise ValueError('''the string should be not empty string'''     )

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

		# Build trie
		lowercase__            =      {}
		lowercase__            =      '''WORD_KEEPER'''

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

						lowercase__            =      trie_node[c]

				lowercase__            =      True

		lowercase__            =      len(SCREAMING_SNAKE_CASE     )

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

				lowercase__            =      trie
				for i in range(SCREAMING_SNAKE_CASE						,				SCREAMING_SNAKE_CASE     ):
						lowercase__            =      trie_node.get(string[i]						,				SCREAMING_SNAKE_CASE     )

						if trie_node is None:
								return False

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

				return False

		return is_breakable(0     )


if __name__ == "__main__":
			import doctest

			doctest.testmod()







'''simple docstring'''






from __future__ import annotations


def  snake_case_     (					_lowerCAmelCase  :						list[int | float]   ,      _lowerCAmelCase  :						int   ,      _lowerCAmelCase  :						int  )      ->   int | float:
							if len(_lowerCAmelCase  ) == 0:
														raise ValueError('''find_max() arg is an empty sequence'''  )
							if (
							    left >= len(_lowerCAmelCase  )
							    or left < -len(_lowerCAmelCase  )
							    or right >= len(_lowerCAmelCase  )
							    or right < -len(_lowerCAmelCase  )
							):
														raise IndexError('''list index out of range'''  )
							if left == right:
														return nums[left]
							UpperCAmelCase :       List[Any] 							=		(left + right) >> 1  # the middle
							UpperCAmelCase :       Optional[Any] 							=		find_max(_lowerCAmelCase   ,      _lowerCAmelCase   ,      _lowerCAmelCase  )  # find max in range[left, mid]
							UpperCAmelCase :       Dict 							=		find_max(_lowerCAmelCase   ,      mid + 1   ,      _lowerCAmelCase  )  # find max in range[mid + 1, right]

							return left_max if left_max >= right_max else right_max


if __name__ == "__main__":
						import doctest

						doctest.testmod(verbose=True)





