

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 						UpperCamelCase_(			snake_case__:  dict[str, list[str]]   )       -> set[tuple[str, str]]:
 UpperCAmelCase__							=				{node: {node} for node in graph}

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

 while len(snake_case__   ) > 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(snake_case__   )
  uv_neighbors.remove(snake_case__   )
  UpperCAmelCase__							=				uv_neighbors
  for neighbor in uv_neighbors:
   graph_copy[neighbor].append(snake_case__   )

  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(snake_case__   )
   if v in graph_copy[neighbor]:
    graph_copy[neighbor].remove(snake_case__   )

    # 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))






import os
import pickle
import unittest
from collections import UserDict, namedtuple

import torch

from accelerate.test_utils.testing import require_cuda, require_torch_min_version
from accelerate.test_utils.training import RegressionModel
from accelerate.utils import (
    convert_outputs_to_fpaa,
    extract_model_from_parallel,
    find_device,
    listify,
    patch_environment,
    recursively_apply,
    send_to_device,
)


_UpperCamelCase			       =			namedtuple('''ExampleNamedTuple''', '''a b c''')



class     lowercase						(       unittest.TestCase					):



 '''simple docstring'''


 def   UpperCamelCase__							(self ) ->					Tuple:






  """simple docstring"""





  UpperCAmelCase__							=				torch.randn(5       ,       2 )
  UpperCAmelCase__							=				torch.device('cuda' ) if torch.cuda.is_available() else torch.device('cpu' )

  UpperCAmelCase__							=				send_to_device(__a       ,       __a )
  self.assertTrue(torch.equal(resulta.cpu()       ,       __a ) )

  UpperCAmelCase__							=				send_to_device((tensor, [tensor, tensor], 1)       ,       __a )
  self.assertIsInstance(__a       ,       __a )
  self.assertTrue(torch.equal(resulta[0].cpu()       ,       __a ) )
  self.assertIsInstance(resulta[1]       ,       __a )
  self.assertTrue(torch.equal(resulta[1][0].cpu()       ,       __a ) )
  self.assertTrue(torch.equal(resulta[1][1].cpu()       ,       __a ) )
  self.assertEqual(resulta[2]       ,       1 )

  UpperCAmelCase__							=				send_to_device({'a': tensor, 'b': [tensor, tensor], 'c': 1}       ,       __a )
  self.assertIsInstance(__a       ,       __a )
  self.assertTrue(torch.equal(resulta['a'].cpu()       ,       __a ) )
  self.assertIsInstance(resulta['b']       ,       __a )
  self.assertTrue(torch.equal(resulta['b'][0].cpu()       ,       __a ) )
  self.assertTrue(torch.equal(resulta['b'][1].cpu()       ,       __a ) )
  self.assertEqual(resulta['c']       ,       1 )

  UpperCAmelCase__							=				send_to_device(ExampleNamedTuple(a=__a       ,       b=[tensor, tensor]       ,       c=1 )       ,       __a )
  self.assertIsInstance(__a       ,       __a )
  self.assertTrue(torch.equal(resulta.a.cpu()       ,       __a ) )
  self.assertIsInstance(resulta.b       ,       __a )
  self.assertTrue(torch.equal(resulta.b[0].cpu()       ,       __a ) )
  self.assertTrue(torch.equal(resulta.b[1].cpu()       ,       __a ) )
  self.assertEqual(resulta.c       ,       1 )

  UpperCAmelCase__							=				send_to_device(UserDict({'a': tensor, 'b': [tensor, tensor], 'c': 1} )       ,       __a )
  self.assertIsInstance(__a       ,       __a )
  self.assertTrue(torch.equal(resulta['a'].cpu()       ,       __a ) )
  self.assertIsInstance(resulta['b']       ,       __a )
  self.assertTrue(torch.equal(resulta['b'][0].cpu()       ,       __a ) )
  self.assertTrue(torch.equal(resulta['b'][1].cpu()       ,       __a ) )
  self.assertEqual(resulta['c']       ,       1 )




 def   UpperCamelCase__							(self ) ->					List[str]:






  """simple docstring"""





  with self.assertRaises(__a ) as cm:
   UpperCAmelCase__							=				recursively_apply(torch.tensor       ,       (torch.tensor(1 ), 1)       ,       error_on_other_type=__a )
  self.assertEqual(
      str(cm.exception )       ,       'Unsupported types (<class \'int\'>) passed to `tensor`. Only nested list/tuple/dicts of objects that are valid for `is_torch_tensor` should be passed.'       ,       )




 def   UpperCamelCase__							(self ) ->					List[str]:






  """simple docstring"""





  UpperCAmelCase__							=				torch.tensor([1, 2, 3, 4, 5] )
  self.assertEqual(listify(__a )       ,       [1, 2, 3, 4, 5] )

  UpperCAmelCase__							=				torch.tensor([[1, 2, 3, 4, 5], [6, 7, 8, 9, 10]] )
  self.assertEqual(listify(__a )       ,       [[1, 2, 3, 4, 5], [6, 7, 8, 9, 10]] )

  UpperCAmelCase__							=				torch.tensor([[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10]], [[11, 12, 13, 14, 15], [16, 17, 18, 19, 20]]] )
  self.assertEqual(
      listify(__a )       ,       [[[1, 2, 3, 4, 5], [6, 7, 8, 9, 10]], [[11, 12, 13, 14, 15], [16, 17, 18, 19, 20]]] )




 def   UpperCamelCase__							(self ) ->					int:






  """simple docstring"""





  with patch_environment(aa=1       ,       BB=2 ):
   self.assertEqual(os.environ.get('AA' )       ,       '1' )
   self.assertEqual(os.environ.get('BB' )       ,       '2' )

  self.assertNotIn('AA'       ,       os.environ )
  self.assertNotIn('BB'       ,       os.environ )




 def   UpperCamelCase__							(self ) ->					Dict:






  """simple docstring"""





  UpperCAmelCase__							=				RegressionModel()
  UpperCAmelCase__							=				model.forward
  UpperCAmelCase__							=				convert_outputs_to_fpaa(model.forward )
  UpperCAmelCase__							=				extract_model_from_parallel(__a       ,       keep_fpaa_wrapper=__a )
  UpperCAmelCase__							=				pickle.dumps(__a )




 @require_cuda
 def   UpperCamelCase__							(self ) ->					Tuple:






  """simple docstring"""





  UpperCAmelCase__							=				RegressionModel()
  UpperCAmelCase__							=				model.forward
  UpperCAmelCase__							=				torch.cuda.amp.autocast(dtype=torch.floataa )(model.forward )
  UpperCAmelCase__							=				convert_outputs_to_fpaa(model.forward )
  UpperCAmelCase__							=				extract_model_from_parallel(__a       ,       keep_fpaa_wrapper=__a )
  UpperCAmelCase__							=				pickle.dumps(__a )




 @require_cuda
 @require_torch_min_version(version='2.0' )
 def   UpperCamelCase__							(self ) ->					List[str]:






  """simple docstring"""





  UpperCAmelCase__							=				RegressionModel()
  UpperCAmelCase__							=				model.forward
  UpperCAmelCase__							=				torch.cuda.amp.autocast(dtype=torch.floataa )(model.forward )
  UpperCAmelCase__							=				convert_outputs_to_fpaa(model.forward )
  UpperCAmelCase__							=				torch.compile(model.forward       ,       backend='inductor' )
  UpperCAmelCase__							=				torch.randn(4       ,       10 ).cuda()
  UpperCAmelCase__							=				model(__a )




 def   UpperCamelCase__							(self ) ->					Optional[Any]:






  """simple docstring"""





  UpperCAmelCase__							=				RegressionModel()
  # could also do a test with DistributedDataParallel, but difficult to run on CPU or single GPU
  UpperCAmelCase__							=				torch.nn.parallel.DataParallel(__a )
  UpperCAmelCase__							=				extract_model_from_parallel(__a )

  self.assertEqual(__a       ,       __a )




 @require_torch_min_version(version='2.0' )
 def   UpperCamelCase__							(self ) ->					Optional[Any]:






  """simple docstring"""





  UpperCAmelCase__							=				RegressionModel()
  UpperCAmelCase__							=				torch.compile(__a )

  # could also do a test with DistributedDataParallel, but difficult to run on CPU or single GPU
  UpperCAmelCase__							=				torch.nn.parallel.DataParallel(__a )
  UpperCAmelCase__							=				torch.compile(__a )
  UpperCAmelCase__							=				extract_model_from_parallel(__a )

  self.assertEqual(compiled_model._orig_mod       ,       compiled_model_unwrapped._orig_mod )




 def   UpperCamelCase__							(self ) ->					str:






  """simple docstring"""





  self.assertEqual(find_device([1, 'a', torch.tensor([1, 2, 3] )] )       ,       torch.device('cpu' ) )
  self.assertEqual(find_device({'a': 1, 'b': torch.tensor([1, 2, 3] )} )       ,       torch.device('cpu' ) )
  self.assertIsNone(find_device([1, 'a'] ) )



