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
  lowercase__      =				{
      '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 	__lowerCamelCase			(						__UpperCamelCase )		->					Optional[Any]:
  
    """simple docstring"""
  
  
  
  
  
  
  
    lowerCAmelCase_     :							Optional[int]             =    {node: {node} for node in graph}
  
    lowerCAmelCase_     :							int             =    {node: graph[node][:] for node in graph}
  
    while len(_A ) > 2:
      # Choose a random edge.
      lowerCAmelCase_     :							List[str]             =    random.choice(list(graph_copy.keys() ) )
      lowerCAmelCase_     :							Optional[Any]             =    random.choice(graph_copy[u] )
  
      # Contract edge (u, v) to new node uv
      lowerCAmelCase_     :							str             =    u + v
      lowerCAmelCase_     :							List[str]             =    list(set(graph_copy[u] + graph_copy[v] ) )
      uv_neighbors.remove(_A )
      uv_neighbors.remove(_A )
      lowerCAmelCase_     :							Tuple             =    uv_neighbors
      for neighbor in uv_neighbors:
        graph_copy[neighbor].append(_A )
  
      lowerCAmelCase_     :							str             =    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.
    lowerCAmelCase_     :							int             =    [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 typing import TYPE_CHECKING
  
  from ...utils import (
      OptionalDependencyNotAvailable,
      _LazyModule,
      is_torch_available,
      is_vision_available,
  )
  
  
  lowercase__      =				{
      """configuration_mobilevitv2""": [
          """MOBILEVITV2_PRETRAINED_CONFIG_ARCHIVE_MAP""",
          """MobileViTV2Config""",
          """MobileViTV2OnnxConfig""",
      ],
  }
  
  
  try:
  					if not is_torch_available():
  										raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
  					pass
  else:
  					lowercase__      =				[
  					    """MOBILEVITV2_PRETRAINED_MODEL_ARCHIVE_LIST""",
  					    """MobileViTV2ForImageClassification""",
  					    """MobileViTV2ForSemanticSegmentation""",
  					    """MobileViTV2Model""",
  					    """MobileViTV2PreTrainedModel""",
  					]
  
  if TYPE_CHECKING:
  					from .configuration_mobilevitva import (
  					    MOBILEVITV2_PRETRAINED_CONFIG_ARCHIVE_MAP,
  					    MobileViTVaConfig,
  					    MobileViTVaOnnxConfig,
  					)
  
  					try:
  										if not is_torch_available():
  															raise OptionalDependencyNotAvailable()
  					except OptionalDependencyNotAvailable:
  										pass
  					else:
  										from .modeling_mobilevitva import (
  										    MOBILEVITV2_PRETRAINED_MODEL_ARCHIVE_LIST,
  										    MobileViTVaForImageClassification,
  										    MobileViTVaForSemanticSegmentation,
  										    MobileViTVaModel,
  										    MobileViTVaPreTrainedModel,
  										)
  
  else:
  					import sys
  
  					lowercase__      =				_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)
  