
def   lowerCamelCase__							(					a      )      ->   set:
   _A:  Optional[Any]					=       set()
   # edges = list of graph's edges
   _A:  Union[str, Any]					=       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:
      _A			,  _A:  Optional[int]					=       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      )      ->   set:
   _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)}")





from __future__ import annotations

import sys
from collections import deque
from typing import Generic, TypeVar

UpperCAmelCase__		:     Union[str, Any]     			=      TypeVar('T')






class UpperCAmelCase   (						Generic[T]   ):





   '''simple docstring'''
   __UpperCamelCase		:    deque[T]  # Cache store of keys
   __UpperCamelCase		:    set[T]  # References of the keys in cache
   __UpperCamelCase		:    int 				=    10  # Maximum capacity of cache


   def __init__(					self     :							List[str]			,			lowerCAmelCase_     :							int     ):

      """simple docstring"""
      _A:  Tuple					=       deque()
      _A:  List[Any]					=       set()
      if not n:
         _A:  str					=       sys.maxsize
      elif n < 0:
         raise ValueError('''n should be an integer greater than 0.'''     )
      else:
         _A:  Dict					=       n


   def  __magic_name__				(					self     :							Optional[int]			,			lowerCAmelCase_     :							T     ):

      """simple docstring"""
      if x not in self.key_reference:
         if len(self.dq_store     ) == LRUCache._MAX_CAPACITY:
            _A:  Optional[Any]					=       self.dq_store.pop()
            self.key_reference.remove(lowerCAmelCase_     )
      else:
         self.dq_store.remove(lowerCAmelCase_     )

      self.dq_store.appendleft(lowerCAmelCase_     )
      self.key_reference.add(lowerCAmelCase_     )


   def  __magic_name__				(					self     :							Optional[Any]     ):

      """simple docstring"""
      for k in self.dq_store:
         print(lowerCAmelCase_     )


   def __repr__(					self     :							Dict     ):

      """simple docstring"""
      return F"""LRUCache({self._MAX_CAPACITY}) => {list(self.dq_store     )}"""


if __name__ == "__main__":
   import doctest

   doctest.testmod()

   UpperCAmelCase__		:     LRUCache[str | int]     			=      LRUCache(4)
   lru_cache.refer('A')
   lru_cache.refer(2)
   lru_cache.refer(3)
   lru_cache.refer('A')
   lru_cache.refer(4)
   lru_cache.refer(5)
   lru_cache.display()

   print(lru_cache)
   assert str(lru_cache) == "LRUCache(4) => [5, 4, 'A', 3]"



