




"""simple docstring"""

class 							lowercase_			:



 '''simple docstring'''

 def __init__(					self			:			List[Any]       ,				_UpperCAmelCase			:			Optional[Any]       ,				_UpperCAmelCase			:			int       ,				_UpperCAmelCase			:			int						):
       _A     =  None
       _A     =  None
       _A     =  graph

       self._normalize_graph(_UpperCAmelCase       ,				_UpperCAmelCase						)
       _A     =  len(_UpperCAmelCase						)
       _A     =  None

 def      lowerCAmelCase_				(					self			:			Optional[Any]       ,				_UpperCAmelCase			:			Union[str, Any]       ,				_UpperCAmelCase			:			Dict						):
       if sources is int:
             _A     =  [sources]
       if sinks is int:
             _A     =  [sinks]

       if len(_UpperCAmelCase						) == 0 or len(_UpperCAmelCase						) == 0:
             return

       _A     =  sources[0]
       _A     =  sinks[0]

       # make fake vertex if there are more
       # than one source or sink
       if len(_UpperCAmelCase						) > 1 or len(_UpperCAmelCase						) > 1:
             _A     =  0
             for i in sources:
                   max_input_flow += sum(self.graph[i]						)

             _A     =  len(self.graph						) + 1
             for room in self.graph:
                   room.insert(0       ,				0						)
             self.graph.insert(0       ,				[0] * size						)
             for i in sources:
                   _A     =  max_input_flow
             _A     =  0

             _A     =  len(self.graph						) + 1
             for room in self.graph:
                   room.append(0						)
             self.graph.append([0] * size						)
             for i in sinks:
                   _A     =  max_input_flow
             _A     =  size - 1

 def      lowerCAmelCase_				(					self			:			Optional[Any]						):
       if self.maximum_flow_algorithm is None:
             raise Exception('You need to set maximum flow algorithm before.'						)
       if self.source_index is None or self.sink_index is None:
             return 0

       self.maximum_flow_algorithm.execute()
       return self.maximum_flow_algorithm.getMaximumFlow()



 def      lowerCAmelCase_				(					self			:			List[str]       ,				_UpperCAmelCase			:			Union[str, Any]						):
       _A     =  algorithm(self						)





class 							lowercase_			:



 '''simple docstring'''

 def __init__(					self			:			List[Any]       ,				_UpperCAmelCase			:			Union[str, Any]						):
       _A     =  flow_network
       _A     =  flow_network.verticesCount
       _A     =  flow_network.sourceIndex
       _A     =  flow_network.sinkIndex
       # it's just a reference, so you shouldn't change
       # it in your algorithms, use deep copy before doing that
       _A     =  flow_network.graph
       _A     =  False

 def      lowerCAmelCase_				(					self			:			Optional[Any]						):
       if not self.executed:
             self._algorithm()
             _A     =  True



 def      lowerCAmelCase_				(					self			:			int						):
       pass





class 							lowercase_			(	__lowerCAmelCase				):



 '''simple docstring'''

 def __init__(					self			:			int       ,				_UpperCAmelCase			:			Any						):
       super().__init__(_UpperCAmelCase						)
       # use this to save your result
       _A     =  -1



 def      lowerCAmelCase_				(					self			:			Optional[Any]						):
       if not self.executed:
             raise Exception('You should execute algorithm before using its result!'						)

       return self.maximum_flow





class 							lowercase_			(	__lowerCAmelCase				):



 '''simple docstring'''

 def __init__(					self			:			Dict       ,				_UpperCAmelCase			:			List[Any]						):
       super().__init__(_UpperCAmelCase						)

       _A     =  [[0] * self.verticies_count for i in range(self.verticies_count						)]

       _A     =  [0] * self.verticies_count
       _A     =  [0] * self.verticies_count

 def      lowerCAmelCase_				(					self			:			Dict						):
       _A     =  self.verticies_count

       # push some substance to graph
       for nextvertex_index, bandwidth in enumerate(self.graph[self.source_index]						):
             self.preflow[self.source_index][nextvertex_index] += bandwidth
             self.preflow[nextvertex_index][self.source_index] -= bandwidth
             self.excesses[nextvertex_index] += bandwidth

       # Relabel-to-front selection rule
       _A     =  [
           i
           for i in range(self.verticies_count						)
           if i != self.source_index and i != self.sink_index
       ]

       # move through list
       _A     =  0
       while i < len(_UpperCAmelCase						):
             _A     =  vertices_list[i]
             _A     =  self.heights[vertex_index]
             self.process_vertex(_UpperCAmelCase						)
             if self.heights[vertex_index] > previous_height:
                   # if it was relabeled, swap elements
                   # and start from 0 index
                   vertices_list.insert(0       ,				vertices_list.pop(_UpperCAmelCase						)						)
                   _A     =  0
             else:
                   i += 1

       _A     =  sum(self.preflow[self.source_index]						)

 def      lowerCAmelCase_				(					self			:			int       ,				_UpperCAmelCase			:			Any						):
       while self.excesses[vertex_index] > 0:
             for neighbour_index in range(self.verticies_count						):
                   # if it's neighbour and current vertex is higher
                   if (
                       self.graph[vertex_index][neighbour_index]
                       - self.preflow[vertex_index][neighbour_index]
                       > 0
                       and self.heights[vertex_index] > self.heights[neighbour_index]
                   ):
                         self.push(_UpperCAmelCase       ,				_UpperCAmelCase						)

             self.relabel(_UpperCAmelCase						)

 def      lowerCAmelCase_				(					self			:			Dict       ,				_UpperCAmelCase			:			Tuple       ,				_UpperCAmelCase			:			Tuple						):
       _A     =  min(
           self.excesses[from_index]       ,				self.graph[from_index][to_index] - self.preflow[from_index][to_index]       ,				)
       self.preflow[from_index][to_index] += preflow_delta
       self.preflow[to_index][from_index] -= preflow_delta
       self.excesses[from_index] -= preflow_delta
       self.excesses[to_index] += preflow_delta



 def      lowerCAmelCase_				(					self			:			Union[str, Any]       ,				_UpperCAmelCase			:			int						):
       _A     =  None
       for to_index in range(self.verticies_count						):
             if (
                 self.graph[vertex_index][to_index]
                 - self.preflow[vertex_index][to_index]
                 > 0
             ) and (min_height is None or self.heights[to_index] < min_height):
                   _A     =  self.heights[to_index]

       if min_height is not None:
             _A     =  min_height + 1


if __name__ == "__main__":
       a							      =     [0]
       a							      =     [3]
       # graph = [
       #     [0, 0, 4, 6, 0, 0],
       #     [0, 0, 5, 2, 0, 0],
       #     [0, 0, 0, 0, 4, 4],
       #     [0, 0, 0, 0, 6, 6],
       #     [0, 0, 0, 0, 0, 0],
       #     [0, 0, 0, 0, 0, 0],
       # ]
       a							      =     [[0, 7, 0, 0], [0, 0, 6, 0], [0, 0, 0, 8], [9, 0, 0, 0]]

       # prepare our network
       a							      =     FlowNetwork(graph, entrances, exits)
       # set algorithm
       flow_network.set_maximum_flow_algorithm(PushRelabelExecutor)
       # and calculate
       a							      =     flow_network.find_maximum_flow()

       print(F'''maximum flow is {maximum_flow}''')







import gc
import random
import unittest

import numpy as np
import torch
from transformers import XLMRobertaTokenizer

from diffusers import (
    AltDiffusionImgaImgPipeline,
    AutoencoderKL,
    PNDMScheduler,
    UNetaDConditionModel,
)
from diffusers.image_processor import VaeImageProcessor
from diffusers.pipelines.alt_diffusion.modeling_roberta_series import (
    RobertaSeriesConfig,
    RobertaSeriesModelWithTransformation,
)
from diffusers.utils import floats_tensor, load_image, load_numpy, slow, torch_device
from diffusers.utils.testing_utils import enable_full_determinism, require_torch_gpu


enable_full_determinism()





class 			lowerCamelCase_				( unittest.TestCase   ):


 '''simple docstring'''







 def  lowerCAmelCase_    (				self    :						str		):
       # clean up the VRAM after each test
       super().tearDown()
       gc.collect()
       torch.cuda.empty_cache()



 @property
 def  lowerCAmelCase_    (				self    :						Union[str, Any]		):
       SCREAMING_SNAKE_CASE_      		=     1
       SCREAMING_SNAKE_CASE_      		=     3
       SCREAMING_SNAKE_CASE_      		=     (32, 32)

       SCREAMING_SNAKE_CASE_      		=     floats_tensor((batch_size, num_channels) + sizes							,							rng=random.Random(0		)		).to(_lowerCAmelCase		)
       return image



 @property
 def  lowerCAmelCase_    (				self    :						Union[str, Any]		):
       torch.manual_seed(0		)
       SCREAMING_SNAKE_CASE_      		=     UNetaDConditionModel(
           block_out_channels=(32, 64)							,							layers_per_block=2							,							sample_size=32							,							in_channels=4							,							out_channels=4							,							down_block_types=('DownBlock2D', 'CrossAttnDownBlock2D')							,							up_block_types=('CrossAttnUpBlock2D', 'UpBlock2D')							,							cross_attention_dim=32							,							)
       return model



 @property
 def  lowerCAmelCase_    (				self    :						Tuple		):
       torch.manual_seed(0		)
       SCREAMING_SNAKE_CASE_      		=     AutoencoderKL(
           block_out_channels=[32, 64]							,							in_channels=3							,							out_channels=3							,							down_block_types=['DownEncoderBlock2D', 'DownEncoderBlock2D']							,							up_block_types=['UpDecoderBlock2D', 'UpDecoderBlock2D']							,							latent_channels=4							,							)
       return model



 @property
 def  lowerCAmelCase_    (				self    :						Optional[int]		):
       torch.manual_seed(0		)
       SCREAMING_SNAKE_CASE_      		=     RobertaSeriesConfig(
           hidden_size=32							,							project_dim=32							,							intermediate_size=37							,							layer_norm_eps=1E-05							,							num_attention_heads=4							,							num_hidden_layers=5							,							pad_token_id=1							,							vocab_size=5_006							,							)
       return RobertaSeriesModelWithTransformation(_lowerCAmelCase		)



 @property
 def  lowerCAmelCase_    (				self    :						List[Any]		):
       def extract(*_lowerCAmelCase    :						Optional[int]							,							**_lowerCAmelCase    :						str		):





             class 			lowerCamelCase_				:


              '''simple docstring'''







              def __init__(				self    :						str		):
                    SCREAMING_SNAKE_CASE_      		=     torch.ones([0]		)




              def  lowerCAmelCase_    (				self    :						Union[str, Any]							,							_lowerCAmelCase    :						int		):
                    self.pixel_values.to(_lowerCAmelCase		)
                    return self


             return Out()

       return extract



 def  lowerCAmelCase_    (				self    :						Optional[Any]		):
       SCREAMING_SNAKE_CASE_      		=     'cpu'  # ensure determinism for the device-dependent torch.Generator
       SCREAMING_SNAKE_CASE_      		=     self.dummy_cond_unet
       SCREAMING_SNAKE_CASE_      		=     PNDMScheduler(skip_prk_steps=_lowerCAmelCase		)
       SCREAMING_SNAKE_CASE_      		=     self.dummy_vae
       SCREAMING_SNAKE_CASE_      		=     self.dummy_text_encoder
       SCREAMING_SNAKE_CASE_      		=     XLMRobertaTokenizer.from_pretrained('hf-internal-testing/tiny-xlm-roberta'		)
       SCREAMING_SNAKE_CASE_      		=     77

       SCREAMING_SNAKE_CASE_      		=     self.dummy_image.to(_lowerCAmelCase		)
       SCREAMING_SNAKE_CASE_      		=     init_image / 2 + 0.5

       # make sure here that pndm scheduler skips prk
       SCREAMING_SNAKE_CASE_      		=     AltDiffusionImgaImgPipeline(
           unet=_lowerCAmelCase							,							scheduler=_lowerCAmelCase							,							vae=_lowerCAmelCase							,							text_encoder=_lowerCAmelCase							,							tokenizer=_lowerCAmelCase							,							safety_checker=_lowerCAmelCase							,							feature_extractor=self.dummy_extractor							,							)
       SCREAMING_SNAKE_CASE_      		=     VaeImageProcessor(vae_scale_factor=alt_pipe.vae_scale_factor							,							do_normalize=_lowerCAmelCase		)
       SCREAMING_SNAKE_CASE_      		=     alt_pipe.to(_lowerCAmelCase		)
       alt_pipe.set_progress_bar_config(disable=_lowerCAmelCase		)

       SCREAMING_SNAKE_CASE_      		=     'A painting of a squirrel eating a burger'
       SCREAMING_SNAKE_CASE_      		=     torch.Generator(device=_lowerCAmelCase		).manual_seed(0		)
       SCREAMING_SNAKE_CASE_      		=     alt_pipe(
           [prompt]							,							generator=_lowerCAmelCase							,							guidance_scale=6.0							,							num_inference_steps=2							,							output_type='np'							,							image=_lowerCAmelCase							,							)

       SCREAMING_SNAKE_CASE_      		=     output.images

       SCREAMING_SNAKE_CASE_      		=     torch.Generator(device=_lowerCAmelCase		).manual_seed(0		)
       SCREAMING_SNAKE_CASE_      		=     alt_pipe(
           [prompt]							,							generator=_lowerCAmelCase							,							guidance_scale=6.0							,							num_inference_steps=2							,							output_type='np'							,							image=_lowerCAmelCase							,							return_dict=_lowerCAmelCase							,							)[0]

       SCREAMING_SNAKE_CASE_      		=     image[0, -3:, -3:, -1]
       SCREAMING_SNAKE_CASE_      		=     image_from_tuple[0, -3:, -3:, -1]

       assert image.shape == (1, 32, 32, 3)
       SCREAMING_SNAKE_CASE_      		=     np.array([0.4427, 0.3731, 0.4249, 0.4941, 0.4546, 0.4148, 0.4193, 0.4666, 0.4499]		)

       assert np.abs(image_slice.flatten() - expected_slice		).max() < 5E-3
       assert np.abs(image_from_tuple_slice.flatten() - expected_slice		).max() < 5E-3



 @unittest.skipIf(torch_device != 'cuda'							,							'This test requires a GPU'		)
 def  lowerCAmelCase_    (				self    :						Tuple		):
       SCREAMING_SNAKE_CASE_      		=     self.dummy_cond_unet
       SCREAMING_SNAKE_CASE_      		=     PNDMScheduler(skip_prk_steps=_lowerCAmelCase		)
       SCREAMING_SNAKE_CASE_      		=     self.dummy_vae
       SCREAMING_SNAKE_CASE_      		=     self.dummy_text_encoder
       SCREAMING_SNAKE_CASE_      		=     XLMRobertaTokenizer.from_pretrained('hf-internal-testing/tiny-xlm-roberta'		)
       SCREAMING_SNAKE_CASE_      		=     77

       SCREAMING_SNAKE_CASE_      		=     self.dummy_image.to(_lowerCAmelCase		)

       # put models in fp16
       SCREAMING_SNAKE_CASE_      		=     unet.half()
       SCREAMING_SNAKE_CASE_      		=     vae.half()
       SCREAMING_SNAKE_CASE_      		=     bert.half()

       # make sure here that pndm scheduler skips prk
       SCREAMING_SNAKE_CASE_      		=     AltDiffusionImgaImgPipeline(
           unet=_lowerCAmelCase							,							scheduler=_lowerCAmelCase							,							vae=_lowerCAmelCase							,							text_encoder=_lowerCAmelCase							,							tokenizer=_lowerCAmelCase							,							safety_checker=_lowerCAmelCase							,							feature_extractor=self.dummy_extractor							,							)
       SCREAMING_SNAKE_CASE_      		=     VaeImageProcessor(vae_scale_factor=alt_pipe.vae_scale_factor							,							do_normalize=_lowerCAmelCase		)
       SCREAMING_SNAKE_CASE_      		=     alt_pipe.to(_lowerCAmelCase		)
       alt_pipe.set_progress_bar_config(disable=_lowerCAmelCase		)

       SCREAMING_SNAKE_CASE_      		=     'A painting of a squirrel eating a burger'
       SCREAMING_SNAKE_CASE_      		=     torch.manual_seed(0		)
       SCREAMING_SNAKE_CASE_      		=     alt_pipe(
           [prompt]							,							generator=_lowerCAmelCase							,							num_inference_steps=2							,							output_type='np'							,							image=_lowerCAmelCase							,							).images

       assert image.shape == (1, 32, 32, 3)




 @unittest.skipIf(torch_device != 'cuda'							,							'This test requires a GPU'		)
 def  lowerCAmelCase_    (				self    :						str		):
       SCREAMING_SNAKE_CASE_      		=     load_image(
           'https://huggingface.co/datasets/hf-internal-testing/diffusers-images/resolve/main'
           '/img2img/sketch-mountains-input.jpg'		)
       # resize to resolution that is divisible by 8 but not 16 or 32
       SCREAMING_SNAKE_CASE_      		=     init_image.resize((760, 504)		)

       SCREAMING_SNAKE_CASE_      		=     'BAAI/AltDiffusion'
       SCREAMING_SNAKE_CASE_      		=     AltDiffusionImgaImgPipeline.from_pretrained(
           _lowerCAmelCase							,							safety_checker=_lowerCAmelCase							,							)
       pipe.to(_lowerCAmelCase		)
       pipe.set_progress_bar_config(disable=_lowerCAmelCase		)
       pipe.enable_attention_slicing()

       SCREAMING_SNAKE_CASE_      		=     'A fantasy landscape, trending on artstation'

       SCREAMING_SNAKE_CASE_      		=     torch.manual_seed(0		)
       SCREAMING_SNAKE_CASE_      		=     pipe(
           prompt=_lowerCAmelCase							,							image=_lowerCAmelCase							,							strength=0.75							,							guidance_scale=7.5							,							generator=_lowerCAmelCase							,							output_type='np'							,							)
       SCREAMING_SNAKE_CASE_      		=     output.images[0]

       SCREAMING_SNAKE_CASE_      		=     image[255:258, 383:386, -1]

       assert image.shape == (504, 760, 3)
       SCREAMING_SNAKE_CASE_      		=     np.array([0.9358, 0.9397, 0.9599, 0.9901, 1.0000, 1.0000, 0.9882, 1.0000, 1.0000]		)

       assert np.abs(image_slice.flatten() - expected_slice		).max() < 1E-2





@slow
@require_torch_gpu
class 			lowerCamelCase_				( unittest.TestCase   ):


 '''simple docstring'''







 def  lowerCAmelCase_    (				self    :						str		):
       # clean up the VRAM after each test
       super().tearDown()
       gc.collect()
       torch.cuda.empty_cache()




 def  lowerCAmelCase_    (				self    :						int		):
       SCREAMING_SNAKE_CASE_      		=     load_image(
           'https://huggingface.co/datasets/hf-internal-testing/diffusers-images/resolve/main'
           '/img2img/sketch-mountains-input.jpg'		)
       SCREAMING_SNAKE_CASE_      		=     init_image.resize((768, 512)		)
       SCREAMING_SNAKE_CASE_      		=     load_numpy(
           'https://huggingface.co/datasets/hf-internal-testing/diffusers-images/resolve/main/img2img/fantasy_landscape_alt.npy'		)

       SCREAMING_SNAKE_CASE_      		=     'BAAI/AltDiffusion'
       SCREAMING_SNAKE_CASE_      		=     AltDiffusionImgaImgPipeline.from_pretrained(
           _lowerCAmelCase							,							safety_checker=_lowerCAmelCase							,							)
       pipe.to(_lowerCAmelCase		)
       pipe.set_progress_bar_config(disable=_lowerCAmelCase		)
       pipe.enable_attention_slicing()

       SCREAMING_SNAKE_CASE_      		=     'A fantasy landscape, trending on artstation'

       SCREAMING_SNAKE_CASE_      		=     torch.manual_seed(0		)
       SCREAMING_SNAKE_CASE_      		=     pipe(
           prompt=_lowerCAmelCase							,							image=_lowerCAmelCase							,							strength=0.75							,							guidance_scale=7.5							,							generator=_lowerCAmelCase							,							output_type='np'							,							)
       SCREAMING_SNAKE_CASE_      		=     output.images[0]

       assert image.shape == (512, 768, 3)
       # img2img is flaky across GPUs even in fp32, so using MAE here
       assert np.abs(expected_image - image		).max() < 1E-2