code: 
  
  
  from __future__ import annotations
  
  import random
  
  # Adjacency list representation of this graph:
  # https://en.wikipedia.org/wiki/File:Single_run_of_Karger%E2%80%99s_Mincut_algorithm.svg
  __SCREAMING_SNAKE_CASE					=						{
      """1""": ["""2""", """3""", """4""", """5"""],
      """2""": ["""1""", """3""", """4""", """5"""],
      """3""": ["""1""", """2""", """4""", """5""", """10"""],
      """4""": ["""1""", """2""", """3""", """5""", """6"""],
      """5""": ["""1""", """2""", """3""", """4""", """7"""],
      """6""": ["""7""", """8""", """9""", """10""", """4"""],
      """7""": ["""6""", """8""", """9""", """10""", """5"""],
      """8""": ["""6""", """7""", """9""", """10"""],
      """9""": ["""6""", """7""", """8""", """10"""],
      """10""": ["""6""", """7""", """8""", """9""", """3"""],
  }
  
  
  
  def 						__a      (  a					):
  
  
  
  
  
         """simple docstring"""
  
  
  
  
  
  
  
         _a          =				{node: {node} for node in graph}
  
         _a          =				{node: graph[node][:] for node in graph}
  
         while len(a					) > 2:
                # Choose a random edge.
                _a          =				random.choice(list(graph_copy.keys()					)					)
                _a          =				random.choice(graph_copy[u]					)
  
                # Contract edge (u, v) to new node uv
                _a          =				u + v
                _a          =				list(set(graph_copy[u] + graph_copy[v]					)					)
                uv_neighbors.remove(a					)
                uv_neighbors.remove(a					)
                _a          =				uv_neighbors
                for neighbor in uv_neighbors:
                       graph_copy[neighbor].append(a					)
  
                _a          =				set(contracted_nodes[u].union(contracted_nodes[v]					)					)
  
                # Remove nodes u and v.
                del graph_copy[u]
                del graph_copy[v]
                for neighbor in uv_neighbors:
                       if u in graph_copy[neighbor]:
                              graph_copy[neighbor].remove(a					)
                       if v in graph_copy[neighbor]:
                              graph_copy[neighbor].remove(a					)
  
      # Find cutset.
         _a          =				[contracted_nodes[node] for node in graph_copy]
         return {
             (node, neighbor)
             for node in groups[0]
             for neighbor in graph[node]
             if neighbor in groups[1]
         }
  
  
  if __name__ == "__main__":
     print(partition_graph(TEST_GRAPH))
  
style_context: 
  
  
  """simple docstring"""
  
  
  
  
  from __future__ import annotations
  
  from collections.abc import Iterator
  from typing import Any
  
  
  
  
  
  class __snake_case		:
  
  
  
  
  
  
  
     """simple docstring"""
  
  
  
  
     def __init__(		self							:List[Any]				,  UpperCamelCase__							:Any       ):
            _a          =				data
            _a          =				None
  
  
  
  
     def __str__(		self							:Any       ):
            return f'{self.data}'
  
  
  
  
  
  
  class __snake_case		:
  
  
  
  
  
  
  
     """simple docstring"""
  
  
  
  
     def __init__(		self							:Any       ):
            _a          =				None
            _a          =				None
  
  
  
  
     def __iter__(		self							:List[str]       ):
            _a          =				self.front
            while node:
                   yield node.data
                   _a          =				node.next
  
  
  
  
     def __len__(		self							:List[str]       ):
            return len(tuple(iter(self       )       )       )
  
  
  
  
     def __str__(		self							:Union[str, Any]       ):
            return " <- ".join(str(UpperCamelCase__       ) for item in self       )
  
  
  
  
     def SCREAMING_SNAKE_CASE_      (		self							:Any       ):
            return len(self       ) == 0
  
  
  
  
     def SCREAMING_SNAKE_CASE_      (		self							:List[str]				,  UpperCamelCase__							:Any       ):
            _a          =				Node(UpperCamelCase__       )
            if self.is_empty():
                   _a          =				_a          =				node
            else:
                   assert isinstance(self.rear				,  UpperCamelCase__       )
                   _a          =				node
                   _a          =				node
  
  
  
  
     def SCREAMING_SNAKE_CASE_      (		self							:Tuple       ):
            if self.is_empty():
                   raise IndexError("dequeue from empty queue"       )
            assert isinstance(self.front				,  UpperCamelCase__       )
            _a          =				self.front
            _a          =				self.front.next
            if self.front is None:
                   _a          =				None
            return node.data
  
  
  
  
     def SCREAMING_SNAKE_CASE_      (		self							:int       ):
            _a          =				_a          =				None
  
  
  if __name__ == "__main__":
     from doctest import testmod
  
     testmod()
  