code: 
  
  """simple docstring"""
  
  
  
  
  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
  __A  :					Optional[Any]												=	{
      '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      __SCREAMING_SNAKE_CASE		(		lowercase__   ):
  					"""simple docstring"""
  					A    =      {node: {node} for node in graph}
  
  					A    =      {node: graph[node][:] for node in graph}
  
  					while len(lowercase__   ) > 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(lowercase__   )
  										uv_neighbors.remove(lowercase__   )
  										A    =      uv_neighbors
  										for neighbor in uv_neighbors:
  															graph_copy[neighbor].append(lowercase__   )
  
  										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(lowercase__   )
  															if v in graph_copy[neighbor]:
  																				graph_copy[neighbor].remove(lowercase__   )
  
      # 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"""
  
  
  
  
  def      __SCREAMING_SNAKE_CASE		(		lowercase__    ,							lowercase__   ):
  					"""simple docstring"""
  					A    =      1
  					while b > 0:
  										if b & 1:
  															res *= a
  
  										a *= a
  										b >>= 1
  
  					return res
  def      __SCREAMING_SNAKE_CASE		(		lowercase__    ,							lowercase__    ,							lowercase__   ):
  					"""simple docstring"""
  					A    =      1
  					while b > 0:
  										if b & 1:
  															A    =      ((res % c) * (a % c)) % c
  
  										a *= a
  										b >>= 1
  
  					return res
  
  
  
  
  
  