





'''simple docstring'''





UpperCamelCase_						:      List[Any]       =						{0: [2, 3], 1: [0], 2: [1], 3: [4], 4: []}

UpperCamelCase_						:      Optional[Any]       =						{0: [1, 2, 3], 1: [2], 2: [0], 3: [4], 4: [5], 5: [3]}





def      __a     (       _UpperCamelCase:   dict[int, list[int]] ,						_UpperCamelCase:   int ,						_UpperCamelCase:   list[bool]   )						->			list[int]:

     """simple docstring"""




     _snake_case							=				True
     _snake_case							=				[]

     for neighbour in graph[vert]:
          if not visited[neighbour]:
               order += topology_sort(_UpperCamelCase ,						_UpperCamelCase ,						_UpperCamelCase   )

     order.append(_UpperCamelCase   )

     return order





def      __a     (       _UpperCamelCase:   dict[int, list[int]] ,						_UpperCamelCase:   int ,						_UpperCamelCase:   list[bool]   )						->			list[int]:

     """simple docstring"""




     _snake_case							=				True
     _snake_case							=				[vert]

     for neighbour in reversed_graph[vert]:
          if not visited[neighbour]:
               component += find_components(_UpperCamelCase ,						_UpperCamelCase ,						_UpperCamelCase   )

     return component





def      __a     (       _UpperCamelCase:   dict[int, list[int]]   )						->			list[list[int]]:

     """simple docstring"""




     _snake_case							=				len(_UpperCamelCase   ) * [False]
     _snake_case							=				{vert: [] for vert in range(len(_UpperCamelCase   )   )}

     for vert, neighbours in graph.items():
          for neighbour in neighbours:
               reversed_graph[neighbour].append(_UpperCamelCase   )

     _snake_case							=				[]
     for i, was_visited in enumerate(_UpperCamelCase   ):
          if not was_visited:
               order += topology_sort(_UpperCamelCase ,						_UpperCamelCase ,						_UpperCamelCase   )

     _snake_case							=				[]
     _snake_case							=				len(_UpperCamelCase   ) * [False]

     for i in range(len(_UpperCamelCase   )   ):
          _snake_case							=				order[len(_UpperCamelCase   ) - i - 1]
          if not visited[vert]:
               _snake_case							=				find_components(_UpperCamelCase ,						_UpperCamelCase ,						_UpperCamelCase   )
               components_list.append(_UpperCamelCase   )

     return components_list








'''simple docstring'''





from __future__ import annotations

from typing import Any





def      __a     (       _UpperCamelCase:   list[Any]   )						->			None:

     """simple docstring"""




     create_state_space_tree(_UpperCamelCase ,						[] ,						0   )





def      __a     (       _UpperCamelCase:   list[Any] ,						_UpperCamelCase:   list[Any] ,						_UpperCamelCase:   int   )						->			None:

     """simple docstring"""




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

     create_state_space_tree(_UpperCamelCase ,						_UpperCamelCase ,						index + 1   )
     current_subsequence.append(sequence[index]   )
     create_state_space_tree(_UpperCamelCase ,						_UpperCamelCase ,						index + 1   )
     current_subsequence.pop()


if __name__ == "__main__":
   UpperCamelCase_						:      list[Any]       =						[3, 1, 2, 4]
   generate_all_subsequences(seq)

   seq.clear()
   seq.extend(['''A''', '''B''', '''C'''])
   generate_all_subsequences(seq)


