




from graphs.minimum_spanning_tree_kruskal import kruskal

def      A      (      )	-> List[Any]:
       lowerCamelCase   :      Optional[int]			 =					9
       lowerCamelCase   :      List[str]			 =					[
           [0, 1, 4],
           [0, 7, 8],
           [1, 2, 8],
           [7, 8, 7],
           [7, 6, 1],
           [2, 8, 2],
           [8, 6, 6],
           [2, 3, 7],
           [2, 5, 4],
           [6, 5, 2],
           [3, 5, 14],
           [3, 4, 9],
           [5, 4, 10],
           [1, 7, 11],
       ]

       lowerCamelCase   :      Tuple			 =					kruskal(_SCREAMING_SNAKE_CASE ,_SCREAMING_SNAKE_CASE    )

       lowerCamelCase   :      Optional[Any]			 =					[
           [7, 6, 1],
           [2, 8, 2],
           [6, 5, 2],
           [0, 1, 4],
           [2, 5, 4],
           [2, 3, 7],
           [0, 7, 8],
           [3, 4, 9],
       ]

       assert sorted(_SCREAMING_SNAKE_CASE    ) == sorted(_SCREAMING_SNAKE_CASE    )










from __future__ import annotations
def 				__lowerCamelCase						( UpperCAmelCase_						:		dict ,  UpperCAmelCase_						:		str						):




      """simple docstring"""





      a							,				a						:Optional[Any] 							=       set(UpperCAmelCase_						), [start]

      while stack:
            a						:Optional[int] 							=       stack.pop()
            explored.add(UpperCAmelCase_						)
            # Differences from BFS:
            # 1) pop last element instead of first one
            # 2) add adjacent elements to stack without exploring them
            for adj in reversed(graph[v]						):
                  if adj not in explored:
                        stack.append(UpperCAmelCase_						)
      return explored


snake_case				:    Optional[int]       				=     {
    '''A''': ['''B''', '''C''', '''D'''],
    '''B''': ['''A''', '''D''', '''E'''],
    '''C''': ['''A''', '''F'''],
    '''D''': ['''B''', '''D'''],
    '''E''': ['''B''', '''F'''],
    '''F''': ['''C''', '''E''', '''G'''],
    '''G''': ['''F'''],
}

if __name__ == "__main__":
     import doctest

     doctest.testmod()
     print(depth_first_search(G, '''A'''))





