






"""simple docstring"""





UpperCamelCase					=     float("""inf""")







class 						_a  :





   '''simple docstring'''






   def __init__(       self					, UpperCAmelCase_)			->   List[str]:




          '''simple docstring'''




          lowercase__:							Optional[Any]         =     [0] * n
          lowercase__:							Dict         =     [0] * n
          lowercase__:							List[Any]         =     [0] * n
          lowercase__:							str         =     [[] for _ in range(UpperCAmelCase_)]





   def __lowercase							(       self					, UpperCAmelCase_					, UpperCAmelCase_					, UpperCAmelCase_					, UpperCAmelCase_=0)			->   Optional[int]:




          '''simple docstring'''




          self.adj[a].append([b, len(self.adj[b]), c, 0])
          self.adj[b].append([a, len(self.adj[a]) - 1, rcap, 0])





   def __lowercase							(       self					, UpperCAmelCase_					, UpperCAmelCase_					, UpperCAmelCase_)			->   Union[str, Any]:




          '''simple docstring'''




          if vertex == sink or not flow:
                 return flow

          for i in range(self.ptr[vertex]					, len(self.adj[vertex])):
                 lowercase__:							Optional[Any]         =     self.adj[vertex][i]
                 if self.lvl[e[0]] == self.lvl[vertex] + 1:
                        lowercase__:							Optional[int]         =     self.depth_first_search(e[0]					, UpperCAmelCase_					, min(UpperCAmelCase_					, e[2] - e[3]))
                        if p:
                               self.adj[vertex][i][3] += p
                               self.adj[e[0]][e[1]][3] -= p
                               return p
                 lowercase__:							int         =     self.ptr[vertex] + 1
          return 0





   def __lowercase							(       self					, UpperCAmelCase_					, UpperCAmelCase_)			->   str:




          '''simple docstring'''




          lowercase__    ,      lowercase__:							Union[str, Any]         =     0, source
          for l in range(31):  # noqa: E741  l = 30 maybe faster for random data
                 while True:
                        lowercase__    ,      lowercase__:							Union[str, Any]         =     [0] * len(self.q), [0] * len(self.q)
                        lowercase__    ,      lowercase__    ,      lowercase__:							str         =     0, 1, 1
                        while qi < qe and not self.lvl[sink]:
                               lowercase__:							Tuple         =     self.q[qi]
                               qi += 1
                               for e in self.adj[v]:
                                      if not self.lvl[e[0]] and (e[2] - e[3]) >> (30 - l):
                                             lowercase__:							Optional[int]         =     e[0]
                                             qe += 1
                                             lowercase__:							str         =     self.lvl[v] + 1

                        lowercase__:							List[str]         =     self.depth_first_search(UpperCAmelCase_					, UpperCAmelCase_					, UpperCAmelCase_)
                        while p:
                               flow += p
                               lowercase__:							Any         =     self.depth_first_search(UpperCAmelCase_					, UpperCAmelCase_					, UpperCAmelCase_)

                        if not self.lvl[sink]:
                               break

          return flow
UpperCamelCase					=     Dinic(10)
UpperCamelCase					=     0
UpperCamelCase					=     9
for vertex in range(1, 5):
  graph.add_edge(source, vertex, 1)
for vertex in range(5, 9):
  graph.add_edge(vertex, sink, 1)
for vertex in range(1, 5):
  graph.add_edge(vertex, vertex + 4, 1)

# Now we can know that is the maximum flow(source -> sink)
print(graph.max_flow(source, sink))








'''simple docstring'''


from typing import Any, Callable, Dict, List, Optional, Union

import PIL.Image
import torch
from transformers import CLIPImageProcessor, CLIPTextModel, CLIPTokenizer

from diffusers import (
    AutoencoderKL,
    DDIMScheduler,
    DiffusionPipeline,
    LMSDiscreteScheduler,
    PNDMScheduler,
    StableDiffusionImgaImgPipeline,
    StableDiffusionInpaintPipelineLegacy,
    StableDiffusionPipeline,
    UNetaDConditionModel,
)
from diffusers.configuration_utils import FrozenDict
from diffusers.pipelines.stable_diffusion.safety_checker import StableDiffusionSafetyChecker
from diffusers.utils import deprecate, logging


__SCREAMING_SNAKE_CASE						=      logging.get_logger(__name__)  # pylint: disable=invalid-name




class     __snake_case			(    _a	):
		a_          =					["safety_checker", "feature_extractor"]




		def __init__(  self					:str			,    _SCREAMING_SNAKE_CASE					:AutoencoderKL			,    _SCREAMING_SNAKE_CASE					:CLIPTextModel			,    _SCREAMING_SNAKE_CASE					:CLIPTokenizer			,    _SCREAMING_SNAKE_CASE					:UNetaDConditionModel			,    _SCREAMING_SNAKE_CASE					:Union[DDIMScheduler, PNDMScheduler, LMSDiscreteScheduler]			,    _SCREAMING_SNAKE_CASE					:StableDiffusionSafetyChecker			,    _SCREAMING_SNAKE_CASE					:CLIPImageProcessor			,    _SCREAMING_SNAKE_CASE					:bool = True			,    )					->			int:






								'''simple docstring'''






								super().__init__()
								if hasattr(scheduler.config			,    """steps_offset""") and scheduler.config.steps_offset != 1:
														UpperCamelCase_     :	Optional[Any]					     =     (
														    F"""The configuration file of this scheduler: {scheduler} is outdated. `steps_offset`"""
														    F""" should be set to 1 instead of {scheduler.config.steps_offset}. Please make sure """
														    """to update the config accordingly as leaving `steps_offset` might led to incorrect results"""
														    """ in future versions. If you have downloaded this checkpoint from the Hugging Face Hub,"""
														    """ it would be very nice if you could open a Pull request for the `scheduler/scheduler_config.json`"""
														    """ file"""
														)
														deprecate("""steps_offset!=1"""			,    """1.0.0"""			,    _SCREAMING_SNAKE_CASE			,    standard_warn=_SCREAMING_SNAKE_CASE)
														UpperCamelCase_     :	Union[str, Any]					     =     dict(scheduler.config)
														UpperCamelCase_     :	Optional[Any]					     =     1
														UpperCamelCase_     :	int					     =     FrozenDict(_SCREAMING_SNAKE_CASE)

								self.register_modules(
								    vae=_SCREAMING_SNAKE_CASE			,    text_encoder=_SCREAMING_SNAKE_CASE			,    tokenizer=_SCREAMING_SNAKE_CASE			,    unet=_SCREAMING_SNAKE_CASE			,    scheduler=_SCREAMING_SNAKE_CASE			,    safety_checker=_SCREAMING_SNAKE_CASE			,    feature_extractor=_SCREAMING_SNAKE_CASE			,    )
								self.register_to_config(requires_safety_checker=_SCREAMING_SNAKE_CASE)




		@property
		def 	_snake_case	(  self					:Tuple)					->			Dict[str, Any]:






								'''simple docstring'''






								return {k: getattr(self			,    _SCREAMING_SNAKE_CASE) for k in self.config.keys() if not k.startswith("""_""")}




		def 	_snake_case	(  self					:Optional[int]			,    _SCREAMING_SNAKE_CASE					:Optional[Union[str, int]] = "auto")					->			Union[str, Any]:






								'''simple docstring'''






								if slice_size == "auto":
														# half the attention head size is usually a good trade-off between
														# speed and memory
														UpperCamelCase_     :	int					     =     self.unet.config.attention_head_dim // 2
								self.unet.set_attention_slice(_SCREAMING_SNAKE_CASE)




		def 	_snake_case	(  self					:Union[str, Any])					->			Dict:






								'''simple docstring'''






								self.enable_attention_slicing(_SCREAMING_SNAKE_CASE)




		@torch.no_grad()
		def 	_snake_case	(  self					:Union[str, Any]			,    _SCREAMING_SNAKE_CASE					:Union[str, List[str]]			,    _SCREAMING_SNAKE_CASE					:Union[torch.FloatTensor, PIL.Image.Image]			,    _SCREAMING_SNAKE_CASE					:Union[torch.FloatTensor, PIL.Image.Image]			,    _SCREAMING_SNAKE_CASE					:float = 0.8			,    _SCREAMING_SNAKE_CASE					:Optional[int] = 5_0			,    _SCREAMING_SNAKE_CASE					:Optional[float] = 7.5			,    _SCREAMING_SNAKE_CASE					:Optional[Union[str, List[str]]] = None			,    _SCREAMING_SNAKE_CASE					:Optional[int] = 1			,    _SCREAMING_SNAKE_CASE					:Optional[float] = 0.0			,    _SCREAMING_SNAKE_CASE					:Optional[torch.Generator] = None			,    _SCREAMING_SNAKE_CASE					:Optional[str] = "pil"			,    _SCREAMING_SNAKE_CASE					:bool = True			,    _SCREAMING_SNAKE_CASE					:Optional[Callable[[int, int, torch.FloatTensor], None]] = None			,    _SCREAMING_SNAKE_CASE					:int = 1			,    )					->			List[str]:






								'''simple docstring'''






								return StableDiffusionInpaintPipelineLegacy(**self.components)(
								    prompt=_SCREAMING_SNAKE_CASE			,    image=_SCREAMING_SNAKE_CASE			,    mask_image=_SCREAMING_SNAKE_CASE			,    strength=_SCREAMING_SNAKE_CASE			,    num_inference_steps=_SCREAMING_SNAKE_CASE			,    guidance_scale=_SCREAMING_SNAKE_CASE			,    negative_prompt=_SCREAMING_SNAKE_CASE			,    num_images_per_prompt=_SCREAMING_SNAKE_CASE			,    eta=_SCREAMING_SNAKE_CASE			,    generator=_SCREAMING_SNAKE_CASE			,    output_type=_SCREAMING_SNAKE_CASE			,    return_dict=_SCREAMING_SNAKE_CASE			,    callback=_SCREAMING_SNAKE_CASE			,    )




		@torch.no_grad()
		def 	_snake_case	(  self					:List[str]			,    _SCREAMING_SNAKE_CASE					:Union[str, List[str]]			,    _SCREAMING_SNAKE_CASE					:Union[torch.FloatTensor, PIL.Image.Image]			,    _SCREAMING_SNAKE_CASE					:float = 0.8			,    _SCREAMING_SNAKE_CASE					:Optional[int] = 5_0			,    _SCREAMING_SNAKE_CASE					:Optional[float] = 7.5			,    _SCREAMING_SNAKE_CASE					:Optional[Union[str, List[str]]] = None			,    _SCREAMING_SNAKE_CASE					:Optional[int] = 1			,    _SCREAMING_SNAKE_CASE					:Optional[float] = 0.0			,    _SCREAMING_SNAKE_CASE					:Optional[torch.Generator] = None			,    _SCREAMING_SNAKE_CASE					:Optional[str] = "pil"			,    _SCREAMING_SNAKE_CASE					:bool = True			,    _SCREAMING_SNAKE_CASE					:Optional[Callable[[int, int, torch.FloatTensor], None]] = None			,    _SCREAMING_SNAKE_CASE					:int = 1			,    **_SCREAMING_SNAKE_CASE					:int			,    )					->			Any:






								'''simple docstring'''






								return StableDiffusionImgaImgPipeline(**self.components)(
								    prompt=_SCREAMING_SNAKE_CASE			,    image=_SCREAMING_SNAKE_CASE			,    strength=_SCREAMING_SNAKE_CASE			,    num_inference_steps=_SCREAMING_SNAKE_CASE			,    guidance_scale=_SCREAMING_SNAKE_CASE			,    negative_prompt=_SCREAMING_SNAKE_CASE			,    num_images_per_prompt=_SCREAMING_SNAKE_CASE			,    eta=_SCREAMING_SNAKE_CASE			,    generator=_SCREAMING_SNAKE_CASE			,    output_type=_SCREAMING_SNAKE_CASE			,    return_dict=_SCREAMING_SNAKE_CASE			,    callback=_SCREAMING_SNAKE_CASE			,    callback_steps=_SCREAMING_SNAKE_CASE			,    )





		@torch.no_grad()
		def 	_snake_case	(  self					:Any			,    _SCREAMING_SNAKE_CASE					:Union[str, List[str]]			,    _SCREAMING_SNAKE_CASE					:int = 5_1_2			,    _SCREAMING_SNAKE_CASE					:int = 5_1_2			,    _SCREAMING_SNAKE_CASE					:int = 5_0			,    _SCREAMING_SNAKE_CASE					:float = 7.5			,    _SCREAMING_SNAKE_CASE					:Optional[Union[str, List[str]]] = None			,    _SCREAMING_SNAKE_CASE					:Optional[int] = 1			,    _SCREAMING_SNAKE_CASE					:float = 0.0			,    _SCREAMING_SNAKE_CASE					:Optional[torch.Generator] = None			,    _SCREAMING_SNAKE_CASE					:Optional[torch.FloatTensor] = None			,    _SCREAMING_SNAKE_CASE					:Optional[str] = "pil"			,    _SCREAMING_SNAKE_CASE					:bool = True			,    _SCREAMING_SNAKE_CASE					:Optional[Callable[[int, int, torch.FloatTensor], None]] = None			,    _SCREAMING_SNAKE_CASE					:int = 1			,    )					->			List[Any]:






								'''simple docstring'''






								return StableDiffusionPipeline(**self.components)(
								    prompt=_SCREAMING_SNAKE_CASE			,    height=_SCREAMING_SNAKE_CASE			,    width=_SCREAMING_SNAKE_CASE			,    num_inference_steps=_SCREAMING_SNAKE_CASE			,    guidance_scale=_SCREAMING_SNAKE_CASE			,    negative_prompt=_SCREAMING_SNAKE_CASE			,    num_images_per_prompt=_SCREAMING_SNAKE_CASE			,    eta=_SCREAMING_SNAKE_CASE			,    generator=_SCREAMING_SNAKE_CASE			,    latents=_SCREAMING_SNAKE_CASE			,    output_type=_SCREAMING_SNAKE_CASE			,    return_dict=_SCREAMING_SNAKE_CASE			,    callback=_SCREAMING_SNAKE_CASE			,    callback_steps=_SCREAMING_SNAKE_CASE			,    )




