





class      A       :



      def __init__(	self:						Any		,  _lowerCAmelCase:						int       )						->    int:
         '''simple docstring'''

         UpperCAmelCase_											=n
         UpperCAmelCase_											=[None] * self.n
         UpperCAmelCase_											=0  # index of the first element
         UpperCAmelCase_											=0
         UpperCAmelCase_											=0



      def __len__(	self:						int       )						->    int:
         '''simple docstring'''

         return self.size



      def 	lowerCAmelCase__    (	self:						Optional[Any]       )						->    bool:
         '''simple docstring'''

         return self.size == 0



      def 	lowerCAmelCase__    (	self:						Optional[int]       )						->    List[Any]:
         '''simple docstring'''

         return False if self.is_empty() else self.array[self.front]



      def 	lowerCAmelCase__    (	self:						List[Any]		,  _lowerCAmelCase:						int       )						->    Tuple:
         '''simple docstring'''

         if self.size >= self.n:
            raise Exception("QUEUE IS FULL"       )

         UpperCAmelCase_											=data
         UpperCAmelCase_											=(self.rear + 1) % self.n
         self.size += 1
         return self






      def 	lowerCAmelCase__    (	self:						List[Any]       )						->    Tuple:
         '''simple docstring'''

         if self.size == 0:
            raise Exception("UNDERFLOW"       )

         UpperCAmelCase_											=self.array[self.front]
         UpperCAmelCase_											=None
         UpperCAmelCase_											=(self.front + 1) % self.n
         self.size -= 1
         return temp











from __future__ import annotations




def     a__ (					lowercase__  ,    lowercase__  ):






   '''simple docstring'''






   UpperCAmelCase_						,       UpperCAmelCase_											=set(lowercase__  ), [start]

   while stack:
      UpperCAmelCase_											=stack.pop()
      explored.add(lowercase__  )
      # 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(lowercase__  )
   return explored


__lowercase  :   Dict						      ={
    """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"""))




