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
UpperCamelCase__       							=      {
    '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_				(  __A							)  ->       set[tuple[str, str]]:







      '''simple docstring'''


      UpperCAmelCase__			=						{node: {node} for node in graph}

      UpperCAmelCase__			=						{node: graph[node][:] for node in graph}

      while len(__A							) > 2:
            # Choose a random edge.
            UpperCAmelCase__			=						random.choice(list(graph_copy.keys()							)							)
            UpperCAmelCase__			=						random.choice(graph_copy[u]							)

            # Contract edge (u, v) to new node uv
            UpperCAmelCase__			=						u + v
            UpperCAmelCase__			=						list(set(graph_copy[u] + graph_copy[v]							)							)
            uv_neighbors.remove(__A							)
            uv_neighbors.remove(__A							)
            UpperCAmelCase__			=						uv_neighbors
            for neighbor in uv_neighbors:
                  graph_copy[neighbor].append(__A							)

            UpperCAmelCase__			=						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.
      UpperCAmelCase__			=						[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))




from ...configuration_utils import PretrainedConfig
from ...utils import logging


UpperCamelCase__       							=      logging.get_logger(__name__)

UpperCamelCase__       							=      {
    'openbmb/cpm-ant-10b': 'https://huggingface.co/openbmb/cpm-ant-10b/blob/main/config.json'
    # See all CPMAnt models at https://huggingface.co/models?filter=cpmant
}





class   A							(       UpperCAmelCase_  ):
   __UpperCAmelCase				:				int          =    'cpmant'


   def __init__(self  :		Optional[Any] ,						__UpperCAmelCase  :		int = 3_0_7_2_0 ,						__UpperCAmelCase  :		int = 4_0_9_6 ,						__UpperCAmelCase  :		int = 3_2 ,						__UpperCAmelCase  :		int = 1_2_8 ,						__UpperCAmelCase  :		int = 1_0_2_4_0 ,						__UpperCAmelCase  :		int = 4_8 ,						__UpperCAmelCase  :		int = 0.0 ,						__UpperCAmelCase  :		int = 5_1_2 ,						__UpperCAmelCase  :		int = 2_0_4_8 ,						__UpperCAmelCase  :		int = 1E-6 ,						__UpperCAmelCase  :		float = 1.0 ,						__UpperCAmelCase  :		int = 3_2 ,						__UpperCAmelCase  :		int = 3_2 ,						__UpperCAmelCase  :		int = 3_2 ,						__UpperCAmelCase  :		bool = True ,						**__UpperCAmelCase  :		Dict ,						)		->       int:
         """simple docstring"""



         super().__init__(**__UpperCAmelCase	)
         UpperCAmelCase__			=						prompt_types
         UpperCAmelCase__			=						prompt_length
         UpperCAmelCase__			=						segment_types
         UpperCAmelCase__			=						hidden_size
         UpperCAmelCase__			=						num_attention_heads
         UpperCAmelCase__			=						dim_head
         UpperCAmelCase__			=						dim_ff
         UpperCAmelCase__			=						num_hidden_layers
         UpperCAmelCase__			=						position_bias_num_buckets
         UpperCAmelCase__			=						position_bias_max_distance
         UpperCAmelCase__			=						dropout_p
         UpperCAmelCase__			=						eps
         UpperCAmelCase__			=						use_cache
         UpperCAmelCase__			=						vocab_size
         UpperCAmelCase__			=						init_std



