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
  lowerCamelCase_     :     Dict    		=						{
      """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		(		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"""
  
  
  
  
  
  
  
  from math import gcd
  def _A		(		lowercase = 1_20_00	):
  
  
  
  
  
  
  
      """simple docstring"""
      a					=0
      for d in range(max_d + 1	):
          for n in range(d // 3 + 1 ,					(d + 1) // 2	):
              if gcd(lowercase ,					lowercase	) == 1:
                  fractions_number += 1
      return fractions_number
  
  
  if __name__ == "__main__":
         print(F'{solution() = }')