


"""simple docstring"""


def   snake_case		(     UpperCamelCase__       :						dict    )   ->      set:
      lowerCamelCase					:					int        =	set()
      # edges = list of graph's edges
      lowerCamelCase					:					List[Any]        =	get_edges(UpperCamelCase__    )

      # 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:
            lowerCamelCase     ,			lowerCamelCase					:					List[str]        =	edges.pop()
            chosen_vertices.add(UpperCamelCase__    )
            chosen_vertices.add(UpperCamelCase__    )
            for edge in edges.copy():
                  if from_node in edge or to_node in edge:
                        edges.discard(UpperCamelCase__    )
      return chosen_vertices




def   snake_case		(     UpperCamelCase__       :						dict    )   ->      set:
      lowerCamelCase					:					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)}")








"""simple docstring"""


from __future__ import annotations

__lowerCamelCase      :int	    =		10




def   snake_case		(     UpperCamelCase__       :						list[int]    )   ->      list[int]:
      lowerCamelCase					:					int        =	1
      lowerCamelCase					:					Union[str, Any]        =	max(UpperCamelCase__    )
      while placement <= max_digit:
            # declare and initialize empty buckets
            lowerCamelCase					:					list[list]        =	[[] for _ in range(UpperCamelCase__    )]
            # split list_of_ints between the buckets
            for i in list_of_ints:
                  lowerCamelCase					:					Any        =	int((i / placement) % RADIX    )
                  buckets[tmp].append(UpperCamelCase__    )
            # put each buckets' contents into list_of_ints
            lowerCamelCase					:					Dict        =	0
            for b in range(UpperCamelCase__    ):
                  for i in buckets[b]:
                        lowerCamelCase					:					List[str]        =	i
                        a += 1
        # move to next
            placement *= RADIX
      return list_of_ints


if __name__ == "__main__":
    import doctest

    doctest.testmod()




