

'''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_      =							{
    "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_					(	snake_case	):
  SCREAMING_SNAKE_CASE:Optional[Any]   =   {node: {node} for node in graph}

  SCREAMING_SNAKE_CASE:Dict   =   {node: graph[node][:] for node in graph}

  while len(snake_case	) > 2:
    # Choose a random edge.
    SCREAMING_SNAKE_CASE:Dict   =   random.choice(list(graph_copy.keys()	)	)
    SCREAMING_SNAKE_CASE:Tuple   =   random.choice(graph_copy[u]	)

    # Contract edge (u, v) to new node uv
    SCREAMING_SNAKE_CASE:List[Any]   =   u + v
    SCREAMING_SNAKE_CASE:Union[str, Any]   =   list(set(graph_copy[u] + graph_copy[v]	)	)
    uv_neighbors.remove(snake_case	)
    uv_neighbors.remove(snake_case	)
    SCREAMING_SNAKE_CASE:Optional[Any]   =   uv_neighbors
    for neighbor in uv_neighbors:
      graph_copy[neighbor].append(snake_case	)

    SCREAMING_SNAKE_CASE:Dict   =   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(snake_case	)
      if v in graph_copy[neighbor]:
        graph_copy[neighbor].remove(snake_case	)

    # Find cutset.
  SCREAMING_SNAKE_CASE:Optional[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))









'''simple docstring'''

import unittest
from pathlib import Path
from tempfile import TemporaryDirectory
from unittest.mock import Mock, patch

import diffusers.utils.hub_utils





class 							_snake_case	(    unittest.TestCase  ):
   @patch("diffusers.utils.hub_utils.get_full_repo_name"							)
   def       __UpperCamelCase  (	self     : List[str]       ,SCREAMING_SNAKE_CASE__     : Mock							):
     SCREAMING_SNAKE_CASE:Optional[Any]   =   "full_repo_name"
     with TemporaryDirectory() as tmpdir:
       # Dummy args values
       SCREAMING_SNAKE_CASE:int   =   Mock()
       SCREAMING_SNAKE_CASE:int   =   tmpdir
       SCREAMING_SNAKE_CASE:Optional[Any]   =   0
       SCREAMING_SNAKE_CASE:Union[str, Any]   =   "hub_token"
       SCREAMING_SNAKE_CASE:str   =   "dataset_name"
       SCREAMING_SNAKE_CASE:Tuple   =   0.01
       SCREAMING_SNAKE_CASE:str   =   100_000
       SCREAMING_SNAKE_CASE:Optional[Any]   =   10_000
       SCREAMING_SNAKE_CASE:List[Any]   =   0.01
       SCREAMING_SNAKE_CASE:Union[str, Any]   =   0.02
       SCREAMING_SNAKE_CASE:Optional[Any]   =   0.03
       SCREAMING_SNAKE_CASE:Tuple   =   0.0_005
       SCREAMING_SNAKE_CASE:List[str]   =   0.000_001
       SCREAMING_SNAKE_CASE:Optional[int]   =   1
       SCREAMING_SNAKE_CASE:Optional[int]   =   10
       SCREAMING_SNAKE_CASE:Any   =   0.001
       SCREAMING_SNAKE_CASE:Optional[int]   =   0.1
       SCREAMING_SNAKE_CASE:Union[str, Any]   =   0.2
       SCREAMING_SNAKE_CASE:Optional[Any]   =   True

       # Model card mush be rendered and saved
       diffusers.utils.hub_utils.create_model_card(SCREAMING_SNAKE_CASE__       ,model_name="model_name"							)
       self.assertTrue((Path(SCREAMING_SNAKE_CASE__							) / "README.md").is_file()							)






