


from __future__ import annotations

A				:   Optional[Any]		=	[2, 1, 4, 5, 6, 0, 8, 9, 1, 2, 0, 6, 4, 2, 0, 6, 5, 3, 2, 7]







class       _lowercase			:


       """simple docstring"""




       def __init__(       self							:      Optional[int] ,				__lowerCamelCase							:      Tuple	):


             '''simple docstring'''



             lowerCamelCase__		:    Optional[Any]   =  -1
             lowerCamelCase__		:    Tuple   =  -1
             lowerCamelCase__		:    Union[str, Any]   =  [-1] * length
             lowerCamelCase__		:    Tuple   =  None
             lowerCamelCase__		:    Dict   =  None





       def __repr__(       self							:      str	):


             '''simple docstring'''



             return f"Node(min_value={self.minn} max_value={self.maxx})"



def 				lowercase_		(		_A      :   list[int]						):

      """simple docstring"""




      lowerCamelCase__		:    Any   =  Node(len(_A						)						)
      lowerCamelCase__   ,       lowerCamelCase__		:    List[Any]   =  min(_A						), max(_A						)
      # Leaf node case where the node contains only one unique value
      if root.minn == root.maxx:
            return root
      lowerCamelCase__		:    List[Any]   =  (root.minn + root.maxx) // 2

      lowerCamelCase__		:    List[str]   =  []
      lowerCamelCase__		:    Tuple   =  []

      for index, num in enumerate(_A						):
            if num <= pivot:
                  left_arr.append(_A						)
            else:
                  right_arr.append(_A						)
            lowerCamelCase__		:    List[Any]   =  len(_A						)
      lowerCamelCase__		:    Optional[Any]   =  build_tree(_A						)
      lowerCamelCase__		:    List[Any]   =  build_tree(_A						)
      return root

def 				lowercase_		(		_A      :   Node | None   , _A      :   int   , _A      :   int						):

      """simple docstring"""




      if index < 0 or node is None:
            return 0
      # Leaf node cases
      if node.minn == node.maxx:
            return index + 1 if node.minn == num else 0
      lowerCamelCase__		:    int   =  (node.minn + node.maxx) // 2
      if num <= pivot:
            # go the left subtree and map index to the left subtree
            return rank_till_index(node.left   , _A   , node.map_left[index] - 1						)
      else:
            # go to the right subtree and map index to the right subtree
            return rank_till_index(node.right   , _A   , index - node.map_left[index]						)

def 				lowercase_		(		_A      :   Node | None   , _A      :   int   , _A      :   int   , _A      :   int						):

      """simple docstring"""




      if start > end:
            return 0
      lowerCamelCase__		:    Tuple   =  rank_till_index(_A   , _A   , _A						)
      lowerCamelCase__		:    Any   =  rank_till_index(_A   , _A   , start - 1						)
      return rank_till_end - rank_before_start

def 				lowercase_		(		_A      :   Node | None   , _A      :   int   , _A      :   int   , _A      :   int						):

      """simple docstring"""




      if index > (end - start) or start > end or node is None:
            return -1
      # Leaf node case
      if node.minn == node.maxx:
            return node.minn
      # Number of elements in the left subtree in interval [start, end]
      lowerCamelCase__		:    Tuple   =  node.map_left[end] - (
          node.map_left[start - 1] if start else 0
      )
      if num_elements_in_left_tree > index:
            return quantile(
                node.left   , _A   , (node.map_left[start - 1] if start else 0)   , node.map_left[end] - 1   , )
      else:
            return quantile(
                node.right   , index - num_elements_in_left_tree   , start - (node.map_left[start - 1] if start else 0)   , end - node.map_left[end]   , )

def 				lowercase_		(		_A      :   Node | None   , _A      :   int   , _A      :   int   , _A      :   int   , _A      :   int						):

      """simple docstring"""




      if (
          start > end
          or node is None
          or start_num > end_num
          or node.minn > end_num
          or node.maxx < start_num
      ):
            return 0
      if start_num <= node.minn and node.maxx <= end_num:
            return end - start + 1
      lowerCamelCase__		:    int   =  range_counting(
          node.left   , (node.map_left[start - 1] if start else 0)   , node.map_left[end] - 1   , _A   , _A   , )
      lowerCamelCase__		:    Tuple   =  range_counting(
          node.right   , start - (node.map_left[start - 1] if start else 0)   , end - node.map_left[end]   , _A   , _A   , )
      return left + right


if __name__ == "__main__":
    import doctest

    doctest.testmod()






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


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







class       _lowercase			(							lowercase__):


       """simple docstring"""




       A__ 						=      ["safety_checker", "feature_extractor"]





       def __init__(       self							:      Optional[Any] ,				__lowerCamelCase							:      AutoencoderKL ,				__lowerCamelCase							:      CLIPTextModel ,				__lowerCamelCase							:      CLIPTokenizer ,				__lowerCamelCase							:      UNetaDConditionModel ,				__lowerCamelCase							:      Union[DDIMScheduler, PNDMScheduler, LMSDiscreteScheduler] ,				__lowerCamelCase							:      StableDiffusionSafetyChecker ,				__lowerCamelCase							:      CLIPImageProcessor ,				__lowerCamelCase							:      bool = True ,				):


             '''simple docstring'''



             super().__init__()
             if hasattr(scheduler.config ,				"steps_offset"	) and scheduler.config.steps_offset != 1:
                   lowerCamelCase__		:    List[str]   =  (
                       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" ,				__lowerCamelCase ,				standard_warn=__lowerCamelCase	)
                   lowerCamelCase__		:    List[str]   =  dict(scheduler.config	)
                   lowerCamelCase__		:    Optional[Any]   =  1
                   lowerCamelCase__		:    Union[str, Any]   =  FrozenDict(__lowerCamelCase	)

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





       @property
       def 						lowerCAmelCase					(       self							:      List[Any]	):


             '''simple docstring'''



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





       def 						lowerCAmelCase					(       self							:      List[Any] ,				__lowerCamelCase							:      Optional[Union[str, int]] = "auto"	):


             '''simple docstring'''



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





       def 						lowerCAmelCase					(       self							:      Optional[Any]	):


             '''simple docstring'''



             self.enable_attention_slicing(__lowerCamelCase	)





       @torch.no_grad()
       def 						lowerCAmelCase					(       self							:      Any ,				__lowerCamelCase							:      Union[str, List[str]] ,				__lowerCamelCase							:      Union[torch.FloatTensor, PIL.Image.Image] ,				__lowerCamelCase							:      Union[torch.FloatTensor, PIL.Image.Image] ,				__lowerCamelCase							:      float = 0.8 ,				__lowerCamelCase							:      Optional[int] = 50 ,				__lowerCamelCase							:      Optional[float] = 7.5 ,				__lowerCamelCase							:      Optional[Union[str, List[str]]] = None ,				__lowerCamelCase							:      Optional[int] = 1 ,				__lowerCamelCase							:      Optional[float] = 0.0 ,				__lowerCamelCase							:      Optional[torch.Generator] = None ,				__lowerCamelCase							:      Optional[str] = "pil" ,				__lowerCamelCase							:      bool = True ,				__lowerCamelCase							:      Optional[Callable[[int, int, torch.FloatTensor], None]] = None ,				__lowerCamelCase							:      int = 1 ,				):


             '''simple docstring'''



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





       @torch.no_grad()
       def 						lowerCAmelCase					(       self							:      Optional[int] ,				__lowerCamelCase							:      Union[str, List[str]] ,				__lowerCamelCase							:      Union[torch.FloatTensor, PIL.Image.Image] ,				__lowerCamelCase							:      float = 0.8 ,				__lowerCamelCase							:      Optional[int] = 50 ,				__lowerCamelCase							:      Optional[float] = 7.5 ,				__lowerCamelCase							:      Optional[Union[str, List[str]]] = None ,				__lowerCamelCase							:      Optional[int] = 1 ,				__lowerCamelCase							:      Optional[float] = 0.0 ,				__lowerCamelCase							:      Optional[torch.Generator] = None ,				__lowerCamelCase							:      Optional[str] = "pil" ,				__lowerCamelCase							:      bool = True ,				__lowerCamelCase							:      Optional[Callable[[int, int, torch.FloatTensor], None]] = None ,				__lowerCamelCase							:      int = 1 ,				**__lowerCamelCase							:      List[str] ,				):


             '''simple docstring'''



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





       @torch.no_grad()
       def 						lowerCAmelCase					(       self							:      List[Any] ,				__lowerCamelCase							:      Union[str, List[str]] ,				__lowerCamelCase							:      int = 512 ,				__lowerCamelCase							:      int = 512 ,				__lowerCamelCase							:      int = 50 ,				__lowerCamelCase							:      float = 7.5 ,				__lowerCamelCase							:      Optional[Union[str, List[str]]] = None ,				__lowerCamelCase							:      Optional[int] = 1 ,				__lowerCamelCase							:      float = 0.0 ,				__lowerCamelCase							:      Optional[torch.Generator] = None ,				__lowerCamelCase							:      Optional[torch.FloatTensor] = None ,				__lowerCamelCase							:      Optional[str] = "pil" ,				__lowerCamelCase							:      bool = True ,				__lowerCamelCase							:      Optional[Callable[[int, int, torch.FloatTensor], None]] = None ,				__lowerCamelCase							:      int = 1 ,				):


             '''simple docstring'''



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


