"""simple docstring"""






import functools
from typing import Any



def   a_						(					lowerCamelCase					,			lowerCamelCase       ):

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

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

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

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

												UpperCAmelCase__             =							trie_node[c]

								UpperCAmelCase__             =							True

				UpperCAmelCase__             =							len(lowerCamelCase       )

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

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

												if trie_node is None:
																return False

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

								return False

				return is_breakable(0       )


if __name__ == "__main__":
						import doctest

						doctest.testmod()




"""simple docstring"""






def   a_						(					lowerCamelCase       ):
				return str(lowerCamelCase       ) == str(lowerCamelCase       )[::-1]



def   a_						(					lowerCamelCase       ):
				return int(lowerCamelCase       ) + int(str(lowerCamelCase       )[::-1]       )



def   a_						(					lowerCamelCase = 1_0_0_0_0       ):
				UpperCAmelCase__             =							[]
				for num in range(1					,			lowerCamelCase       ):
								UpperCAmelCase__             =							0
								UpperCAmelCase__             =							num
								while iterations < 5_0:
												UpperCAmelCase__             =							sum_reverse(lowerCamelCase       )
												iterations += 1
												if is_palindrome(lowerCamelCase       ):
																break
								else:
												lychrel_nums.append(lowerCamelCase       )
				return len(lowerCamelCase       )


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



