





'''simple docstring'''




from __future__ import annotations






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

     __A						:			list[list[list[str]]]								=	[]
     for _ in range(__snake_case      ):
          table.append([]      )
     # seed value
     __A						:			Dict								=	[[]]  # 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:
                         __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(__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'''],
      )
  )






'''simple docstring'''




from __future__ import annotations






def 	_lowerCAmelCase      (  __snake_case  :			list[int | str]      )					->					None:
     create_state_space_tree(__snake_case			,							[]			,							0			,							[0 for i in range(len(__snake_case      )      )]      )






def 	_lowerCAmelCase      (  __snake_case  :			list[int | str]			,							__snake_case  :			list[int | str]			,							__snake_case  :			int			,							__snake_case  :			list[int]			,							)					->					None:

     if index == len(__snake_case      ):
          print(__snake_case      )
          return

     for i in range(len(__snake_case      )      ):
          if not index_used[i]:
               current_sequence.append(sequence[i]      )
               __A						:			Any								=	True
               create_state_space_tree(__snake_case			,							__snake_case			,							index + 1			,							__snake_case      )
               current_sequence.pop()
               __A						:			Any								=	False
lowercase__   :				list[int | str]      =   [3, 1, 2, 4]
generate_all_permutations(sequence)

lowercase__   :				list[int | str]      =   ["A", "B", "C"]







generate_all_permutations(sequence_a)