





'''simple docstring'''




lowercase__   :				Any      =   {'''a''': ['''c''', '''b'''], '''b''': ['''d''', '''e'''], '''c''': [], '''d''': [], '''e''': []}
lowercase__   :				List[Any]      =   ['''a''', '''b''', '''c''', '''d''', '''e''']






def 	_lowerCAmelCase      (  __snake_case  :			str			,							__snake_case  :			Tuple			,							__snake_case  :			int      )					->					Tuple:
     __A						:			List[str]								=	start
     # add current to visited
     visited.append(__snake_case      )
     __A						:			Optional[int]								=	edges[current]
     for neighbor in neighbors:
          # if neighbor not in visited, visit
          if neighbor not in visited:
               __A						:			int								=	topological_sort(__snake_case			,							__snake_case			,							__snake_case      )
    # if all neighbors visited add current to sort
     sort.append(__snake_case      )
     # if all vertices haven't been visited select a new one to visit
     if len(__snake_case      ) != len(__snake_case      ):
          for vertice in vertices:
               if vertice not in visited:
                    __A						:			Dict								=	topological_sort(__snake_case			,							__snake_case			,							__snake_case      )
    # return sort
     return sort


if __name__ == "__main__":
  lowercase__   :				Tuple      =   topological_sort('''a''', [], [])
  print(sort)






'''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)