





def 				lowerCAmelCase_ (							A_):
    UpperCamelCase__:	Union[str, Any]					=     set()
    # edges = list of graph's edges
    UpperCamelCase__:	List[str]					=     get_edges(A_)

    # 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:
        UpperCamelCase__				, UpperCamelCase__:	Dict					=     edges.pop()
        chosen_vertices.add(A_)
        chosen_vertices.add(A_)
        for edge in edges.copy():
            if from_node in edge or to_node in edge:
                edges.discard(A_)
    return chosen_vertices



def 				lowerCAmelCase_ (							A_):
    UpperCamelCase__:	List[str]					=     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)}")








import unittest

from knapsack import knapsack as k




class        _a    (    unittest.TestCase):

      """simple docstring"""


      def 			UpperCAmelCase_       (		self:			Union[str, Any]					):
          '''simple docstring'''


          UpperCamelCase__:	Tuple					=     0
          UpperCamelCase__:	Optional[int]					=     [0]
          UpperCamelCase__:	Dict					=     [0]
          UpperCamelCase__:	str					=     len(__lowerCamelCase					)
          self.assertEqual(k.knapsack(__lowerCamelCase	,    __lowerCamelCase	,    __lowerCamelCase	,    __lowerCamelCase					)	,    0					)

          UpperCamelCase__:	Tuple					=     [60]
          UpperCamelCase__:	List[Any]					=     [10]
          UpperCamelCase__:	Any					=     len(__lowerCamelCase					)
          self.assertEqual(k.knapsack(__lowerCamelCase	,    __lowerCamelCase	,    __lowerCamelCase	,    __lowerCamelCase					)	,    0					)






      def 			UpperCAmelCase_       (		self:			Any					):
          '''simple docstring'''


          UpperCamelCase__:	List[str]					=     3
          UpperCamelCase__:	Any					=     [1, 2, 3]
          UpperCamelCase__:	Dict					=     [3, 2, 1]
          UpperCamelCase__:	List[str]					=     len(__lowerCamelCase					)
          self.assertEqual(k.knapsack(__lowerCamelCase	,    __lowerCamelCase	,    __lowerCamelCase	,    __lowerCamelCase					)	,    5					)






      def 			UpperCAmelCase_       (		self:			List[Any]					):
          '''simple docstring'''


          UpperCamelCase__:	List[str]					=     50
          UpperCamelCase__:	Optional[Any]					=     [60, 100, 120]
          UpperCamelCase__:	Optional[Any]					=     [10, 20, 30]
          UpperCamelCase__:	Any					=     len(__lowerCamelCase					)
          self.assertEqual(k.knapsack(__lowerCamelCase	,    __lowerCamelCase	,    __lowerCamelCase	,    __lowerCamelCase					)	,    220					)


if __name__ == "__main__":
   unittest.main()

