from __future__ import annotations







def       A__   (						snake_case_			:		str							,					snake_case_			:		list[str] | None = None   ):
 SCREAMING_SNAKE_CASE__: Union[str, Any]=   word_bank or []
 # create a table
 SCREAMING_SNAKE_CASE__: int=   len(snake_case_   ) + 1

 SCREAMING_SNAKE_CASE__: list[list[list[str]]]=   []
 for _ in range(snake_case_   ):
  table.append([]   )
 # seed value
 SCREAMING_SNAKE_CASE__: Tuple=   [[]]  # because empty string has empty combination

 # iterate through the indices
 for i in range(snake_case_   ):
  # condition
  if table[i] != []:
   for word in word_bank:
    # slice condition
    if target[i : i + len(snake_case_   )] == word:
     SCREAMING_SNAKE_CASE__: list[list[str]]=   [
         [word, *way] for way in table[i]
     ]
     # adds the word to every combination the current position holds
     # now,push that combination to the table[i+len(word)]
     table[i + len(snake_case_   )] += new_combinations

    # combinations are in reverse order so reverse for better output
 for combination in table[len(snake_case_   )]:
  combination.reverse()

 return table[len(snake_case_   )]


if __name__ == "__main__":
      print(all_construct('jwajalapa', ['jwa', 'j', 'w', 'a', 'la', 'lapa']))
      print(all_construct('rajamati', ['s', 'raj', 'amat', 'raja', 'ma', 'i', 't']))
      print(
          all_construct(
              'hexagonosaurus',
              ['h', 'ex', 'hex', 'ag', 'ago', 'ru', 'auru', 'rus', 'go', 'no', 'o', 's'],
          )
      )



def   __lowerCAmelCase    (				UpperCAmelCase__					:   int							)	->     int:

							if not isinstance(UpperCAmelCase__      ,					UpperCAmelCase__							):
														raise ValueError("""multiplicative_persistence() only accepts integral values"""							)
							if num < 0:
														raise ValueError("""multiplicative_persistence() does not accept negative values"""							)

							lowerCamelCase_					=       0
							lowerCamelCase_					=       str(UpperCAmelCase__							)

							while len(UpperCAmelCase__							) != 1:
														lowerCamelCase_					=       [int(UpperCAmelCase__							) for i in num_string]

														lowerCamelCase_					=       1
														for i in range(0      ,					len(UpperCAmelCase__							)							):
																					total *= numbers[i]

														lowerCamelCase_					=       str(UpperCAmelCase__							)

														steps += 1
							return steps



def   __lowerCAmelCase    (				UpperCAmelCase__					:   int							)	->     int:

							if not isinstance(UpperCAmelCase__      ,					UpperCAmelCase__							):
														raise ValueError("""additive_persistence() only accepts integral values"""							)
							if num < 0:
														raise ValueError("""additive_persistence() does not accept negative values"""							)

							lowerCamelCase_					=       0
							lowerCamelCase_					=       str(UpperCAmelCase__							)

							while len(UpperCAmelCase__							) != 1:
														lowerCamelCase_					=       [int(UpperCAmelCase__							) for i in num_string]

														lowerCamelCase_					=       0
														for i in range(0      ,					len(UpperCAmelCase__							)							):
																					total += numbers[i]

														lowerCamelCase_					=       str(UpperCAmelCase__							)

														steps += 1
							return steps


if __name__ == "__main__":
		import doctest

		doctest.testmod()





