


def        _UpperCamelCase							(      lowercase__ = 10    ,       lowercase__ = 1000    ,       lowercase__ = True      ):
						assert (
						    isinstance(lowercase__    ,       lowercase__      )
						    and isinstance(lowercase__    ,       lowercase__      )
						    and isinstance(lowercase__    ,       lowercase__      )
						), "Invalid type of value(s) specified to function!"

						if min_val > max_val:
												raise ValueError('''Invalid value for min_val or max_val (min_value < max_value)'''      )
						return min_val if option else max_val


def        _UpperCamelCase							(      lowercase__    ,       lowercase__      ):
						return int((number_a + number_a) / 2      )


def        _UpperCamelCase							(      lowercase__    ,       lowercase__    ,       lowercase__      ):
						assert (
						    isinstance(lowercase__    ,       lowercase__      ) and isinstance(lowercase__    ,       lowercase__      ) and isinstance(lowercase__    ,       lowercase__      )
						), 'argument values must be type of "int"'

						if lower > higher:
												raise ValueError('''argument value for lower and higher must be(lower > higher)'''      )

						if not lower < to_guess < higher:
												raise ValueError(
												    '''guess value must be within the range of lower and higher value'''      )

						def answer(lowercase__      ) -> str:
												if number > to_guess:
																		return "high"
												elif number < to_guess:
																		return "low"
												else:
																		return "same"

						print('''started...'''      )

						__SCREAMING_SNAKE_CASE						:     Dict					=		lower
						__SCREAMING_SNAKE_CASE						:     Union[str, Any]					=		higher

						__SCREAMING_SNAKE_CASE						:     List[Any]					=		[]

						while True:
												__SCREAMING_SNAKE_CASE						:     Dict					=		get_avg(lowercase__    ,       lowercase__      )
												last_numbers.append(lowercase__      )

												if answer(lowercase__      ) == "low":
																		__SCREAMING_SNAKE_CASE						:     Optional[Any]					=		number
												elif answer(lowercase__      ) == "high":
																		__SCREAMING_SNAKE_CASE						:     Dict					=		number
												else:
																		break

						print(F'''guess the number : {last_numbers[-1]}'''      )
						print(F'''details : {last_numbers!s}'''      )


def        _UpperCamelCase							(      ):
						__SCREAMING_SNAKE_CASE						:     List[str]					=		int(input('''Enter lower value : '''      ).strip()      )
						__SCREAMING_SNAKE_CASE						:     Dict					=		int(input('''Enter high value : '''      ).strip()      )
						__SCREAMING_SNAKE_CASE						:     List[Any]					=		int(input('''Enter value to guess : '''      ).strip()      )
						guess_the_number(lowercase__    ,       lowercase__    ,       lowercase__      )


if __name__ == "__main__":
						main()







"""simple docstring"""



def 		__lowercase     (   snake_case_  :  dict						)   ->set:



    '''simple docstring'''







    __A    :						List[str]						 =     set()
    # edges = list of graph's edges
    __A    :						Optional[int]						 =     get_edges(snake_case_						)

    # While there are still elements in edges list, take an arbitrary edge
    # (from_node, to_node) and add his extremity to chosen_vertices and then
    # remove all arcs adjacent to the from_node and to_node
    while edges:
        __A ,       __A    :						str						 =     edges.pop()
        chosen_vertices.add(snake_case_						)
        chosen_vertices.add(snake_case_						)
        for edge in edges.copy():
            if from_node in edge or to_node in edge:
                edges.discard(snake_case_						)
    return chosen_vertices







def 		__lowercase     (   snake_case_  :  dict						)   ->set:



    '''simple docstring'''







    __A    :						Tuple						 =     set()
    for from_node, to_nodes in graph.items():
        for to_node in to_nodes:
            edges.add((from_node, to_node)						)
    return edges


if __name__ == "__main__":
       import doctest

       doctest.testmod()

       # graph = {0: [1, 3], 1: [0, 3], 2: [0, 3, 4], 3: [0, 1, 2], 4: [2, 3]}
       # print(f"Matching vertex cover:\n{matching_min_vertex_cover(graph)}")




