





from __future__ import annotations

def    __snake_case  (    _lowerCAmelCase       :       Optional[Any] , _lowerCAmelCase       :       Any = None		)       ->  list[list[str]]:
   A_    : int								=	word_bank or []
   # create a table
   A_    : int								=	len(_UpperCAmelCase		) + 1

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

   # iterate through the indices
   for i in range(_UpperCAmelCase		):
      # condition
      if table[i] != []:
         for word in word_bank:
            # slice condition
            if target[i : i + len(_UpperCAmelCase		)] == word:
               A_    : 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(_UpperCAmelCase		)] += new_combinations

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

   return table[len(_UpperCAmelCase		)]


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'''],
     )
 )







from itertools import count


def        SCREAMING_SNAKE_CASE      (       _UpperCAmelCase = 50 )			->     int:
    lowerCamelCase__    :      Optional[Any]					 =		[1] * min_block_length

    for n in count(_UpperCAmelCase ):
        fill_count_functions.append(1 )

        for block_length in range(_UpperCAmelCase						,	n + 1 ):
            for block_start in range(n - block_length ):
                fill_count_functions[n] += fill_count_functions[
                    n - block_start - block_length - 1
                ]

            fill_count_functions[n] += 1

        if fill_count_functions[n] > 100_0000:
            break

    return n


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





