
"""simple docstring"""





import heapq



def       lowerCamelCase__		(			__snake_case	)							->		Union[str, Any]:


					"""simple docstring"""





					_UpperCamelCase							 =  []

					# for each node and his adjacency list add them and the rank of the node to queue
					# using heapq module the queue will be filled like a Priority Queue
					# heapq works with a min priority queue, so I used -1*len(v) to build it
					for key, value in graph.items():
										# O(log(n))
										heapq.heappush(UpperCamelCase__,     [-1 * len(UpperCamelCase__	), (key, value)]	)

					# chosen_vertices = set of chosen vertices
					_UpperCamelCase							 =  set()

					# while queue isn't empty and there are still edges
					#   (queue[0][0] is the rank of the node with max rank)
					while queue and queue[0][0] != 0:
										# extract vertex with max rank from queue and add it to chosen_vertices
										_UpperCamelCase							 =  heapq.heappop(UpperCamelCase__	)[1][0]
										chosen_vertices.add(UpperCamelCase__	)

										# Remove all arcs adjacent to argmax
										for elem in queue:
															# if v haven't adjacent node, skip
															if elem[0] == 0:
																				continue
															# if argmax is reachable from elem
															# remove argmax from elem's adjacent list and update his rank
															if argmax in elem[1][1]:
																				_UpperCamelCase							 =  elem[1][1].index(UpperCamelCase__	)
																				del elem[1][1][index]
																				elem[0] += 1
        # re-order the queue
										heapq.heapify(UpperCamelCase__	)
					return chosen_vertices


if __name__ == "__main__":
				import doctest

				doctest.testmod()

				_a														=		{0: [1, 3], 1: [0, 3], 2: [0, 3, 4], 3: [0, 1, 2], 4: [2, 3]}
				print(F"""Minimum vertex cover:\n{greedy_min_vertex_cover(graph)}""")











"""simple docstring"""
import random
import unittest

import torch

from diffusers import IFImgaImgSuperResolutionPipeline
from diffusers.utils import floats_tensor
from diffusers.utils.import_utils import is_xformers_available
from diffusers.utils.testing_utils import skip_mps, torch_device

from ..pipeline_params import TEXT_GUIDED_IMAGE_VARIATION_BATCH_PARAMS, TEXT_GUIDED_IMAGE_VARIATION_PARAMS
from ..test_pipelines_common import PipelineTesterMixin
from . import IFPipelineTesterMixin
@skip_mps
class 							_UpperCAmelCase							( a		,a		,unittest.TestCase      ):





     '''simple docstring'''



     a__									=IFImgaImgSuperResolutionPipeline
     a__									=TEXT_GUIDED_IMAGE_VARIATION_PARAMS - {'''width''', '''height'''}
     a__									=TEXT_GUIDED_IMAGE_VARIATION_BATCH_PARAMS.union({'''original_image'''}      )
     a__									=PipelineTesterMixin.required_optional_params - {'''latents'''}





     def  __lowerCAmelCase	(					self		)							->					List[str]:
         return self._get_superresolution_dummy_components()





     def  __lowerCAmelCase	(					self       ,	A       ,	A=0		)							->					Union[str, Any]:
         if str(A		).startswith('''mps'''		):
             _UpperCAmelCase							:  Any											=    torch.manual_seed(A		)
         else:
             _UpperCAmelCase							:  int											=    torch.Generator(device=A		).manual_seed(A		)

         _UpperCAmelCase							:  str											=    floats_tensor((1, 3, 3_2, 3_2)       ,	rng=random.Random(A		)		).to(A		)
         _UpperCAmelCase							:  Dict											=    floats_tensor((1, 3, 1_6, 1_6)       ,	rng=random.Random(A		)		).to(A		)

         _UpperCAmelCase							:  List[Any]											=    {
             '''prompt''': '''A painting of a squirrel eating a burger''',
             '''image''': image,
             '''original_image''': original_image,
             '''generator''': generator,
             '''num_inference_steps''': 2,
             '''output_type''': '''numpy''',
         }

         return inputs





     @unittest.skipIf(
         torch_device != '''cuda''' or not is_xformers_available()       ,	reason='''XFormers attention is only available with CUDA and `xformers` installed'''       ,	)
     def  __lowerCAmelCase	(					self		)							->					List[Any]:
         self._test_xformers_attention_forwardGenerator_pass(expected_max_diff=1E-3		)





     def  __lowerCAmelCase	(					self		)							->					List[str]:
         self._test_save_load_optional_components()





     @unittest.skipIf(torch_device != '''cuda'''       ,	reason='''float16 requires CUDA'''		)
     def  __lowerCAmelCase	(					self		)							->					Optional[Any]:
         # Due to non-determinism in save load of the hf-internal-testing/tiny-random-t5 text encoder
         super().test_save_load_floataa(expected_max_diff=1E-1		)





     def  __lowerCAmelCase	(					self		)							->					int:
         self._test_attention_slicing_forward_pass(expected_max_diff=1E-2		)





     def  __lowerCAmelCase	(					self		)							->					Union[str, Any]:
         self._test_save_load_local()





     def  __lowerCAmelCase	(					self		)							->					Union[str, Any]:
         self._test_inference_batch_single_identical(
             expected_max_diff=1E-2       ,	)


