import functools
from typing import Any



def A__  (			lowercase:     str,		lowercase:     list[str]					)				->		bool:

       '''simple docstring'''





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

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

       # Build trie
       A						:     dict[str, Any]         ={}
       A						:     Dict         ='WORD_KEEPER'

       for word in words:
              A						:     List[str]         =trie
              for c in word:
                     if c not in trie_node:
                            A						:     Optional[int]         ={}

                     A						:     Optional[int]         =trie_node[c]

              A						:     List[str]         =True

       A						:     Optional[Any]         =len(lowercase					)

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

              A						:     int         =trie
              for i in range(lowercase,		lowercase					):
                     A						:     int         =trie_node.get(string[i],		lowercase					)

                     if trie_node is None:
                            return False

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

              return False

       return is_breakable(0					)


if __name__ == "__main__":
    import doctest

    doctest.testmod()







def A__  (			lowercase:     int					)				->		int:
       if not isinstance(lowercase,		lowercase					) or number < 0:
              raise ValueError('Input must be a non-negative integer'					)

       A						:     Any         =0
       while number:
              # This way we arrive at next set bit (next 1) instead of looping
              # through each bit and checking for 1s hence the
              # loop won't run 32 times it will only run the number of `1` times
              number &= number - 1
              count += 1
       return count


if __name__ == "__main__":
    import doctest

    doctest.testmod()






