from __future__ import annotations

lowerCAmelCase			:							List[str]     =			{
    "A": ["B", "C", "E"],
    "B": ["A", "D", "E"],
    "C": ["A", "F", "G"],
    "D": ["B"],
    "E": ["A", "B", "D"],
    "F": ["C"],
    "G": ["C"],
}




class 	__snake_case	:





      '''simple docstring'''






      def __init__(					self     :				Optional[Any]    ,  _UpperCamelCase     :				dict[str, list[str]]    ,  _UpperCamelCase     :				str)				->Tuple:


          """simple docstring"""


          _lowerCamelCase     :		str 						=						graph
          # mapping node to its parent in resulting breadth first tree
          _lowerCamelCase     :		dict[str, str | None] 						=						{}
          _lowerCamelCase     :		List[Any] 						=						source_vertex



      def 	_SCREAMING_SNAKE_CASE    (					self     :				int)				->Tuple:


          """simple docstring"""


          _lowerCamelCase     :		Dict 						=						{self.source_vertex}
          _lowerCamelCase     :		Dict 						=						None
          _lowerCamelCase     :		Tuple 						=						[self.source_vertex]  # first in first out queue

          while queue:
              _lowerCamelCase     :		List[str] 						=						queue.pop(0)
              for adjacent_vertex in self.graph[vertex]:
                  if adjacent_vertex not in visited:
                      visited.add(__snake_case)
                      _lowerCamelCase     :		int 						=						vertex
                      queue.append(__snake_case)




      def 	_SCREAMING_SNAKE_CASE    (					self     :				List[Any]    ,  _UpperCamelCase     :				str)				->Tuple:


          """simple docstring"""


          if target_vertex == self.source_vertex:
              return self.source_vertex

          _lowerCamelCase     :		str 						=						self.parent.get(__snake_case)
          if target_vertex_parent is None:
              _lowerCamelCase     :		List[Any] 						=						(
                  F"""No path from vertex: {self.source_vertex} to vertex: {target_vertex}"""
              )
              raise ValueError(__snake_case)

          return self.shortest_path(__snake_case) + F"""->{target_vertex}"""


if __name__ == "__main__":
    lowerCAmelCase			:							Union[str, Any]     =			Graph(graph, "G")
    g.breath_first_search()
    print(g.shortest_path("D"))
    print(g.shortest_path("G"))
    print(g.shortest_path("Foo"))





lowerCAmelCase			:							Tuple     =0  # The first color of the flag.
lowerCAmelCase			:							Union[str, Any]     =1  # The second color of the flag.
lowerCAmelCase			:							Any     =2  # The third color of the flag.
lowerCAmelCase			:							List[str]     =(red, white, blue)







def 						A__  (					__A	):







    '''simple docstring'''
    if not sequence:
        return []
    if len(__A	) == 1:
        return list(__A	)
    _lowerCamelCase     :		int 						=						0
    _lowerCamelCase     :		Dict 						=						len(__A	) - 1
    _lowerCamelCase     :		str 						=						0
    while mid <= high:
        if sequence[mid] == colors[0]:
            _lowerCamelCase						,							_lowerCamelCase     :		Tuple 						=						sequence[mid], sequence[low]
            low += 1
            mid += 1
        elif sequence[mid] == colors[1]:
            mid += 1
        elif sequence[mid] == colors[2]:
            _lowerCamelCase						,							_lowerCamelCase     :		str 						=						sequence[high], sequence[mid]
            high -= 1
        else:
            _lowerCamelCase     :		int 						=						F"""The elements inside the sequence must contains only {colors} values"""
            raise ValueError(__A	)
    return sequence


if __name__ == "__main__":
    import doctest

    doctest.testmod()

    lowerCAmelCase			:							List[str]     =input("Enter numbers separated by commas:\n").strip()
    lowerCAmelCase			:							Dict     =[int(item.strip()) for item in user_input.split(",")]
    print(F"""{dutch_national_flag_sort(unsorted)}""")




