


'''simple docstring'''




from __future__ import annotations

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





class _snake_case :
							"""simple docstring"""





							def __init__( self      ,					__A						)  ->None:



											"""simple docstring"""







											__lowerCamelCase		:   List[str]           =       -1
											__lowerCamelCase		:   Tuple           =       -1
											__lowerCamelCase		:   str           =       [-1] * length
											__lowerCamelCase		:   Tuple           =       None
											__lowerCamelCase		:   str           =       None







							def __repr__( self						)  ->str:



											"""simple docstring"""







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





def 				a_							(    lowercase     )      ->Node | None:






				'''simple docstring'''

				__lowerCamelCase		:   Dict           =       Node(len(lowercase     )     )
				__lowerCamelCase    ,       __lowerCamelCase		:   str           =       min(lowercase     ), max(lowercase     )
				# Leaf node case where the node contains only one unique value
				if root.minn == root.maxx:
								return root
				__lowerCamelCase		:   int           =       (root.minn + root.maxx) // 2

				__lowerCamelCase		:   Optional[Any]           =       []
				__lowerCamelCase		:   Union[str, Any]           =       []

				for index, num in enumerate(lowercase     ):
								if num <= pivot:
												left_arr.append(lowercase     )
								else:
												right_arr.append(lowercase     )
								__lowerCamelCase		:   str           =       len(lowercase     )
				__lowerCamelCase		:   Dict           =       build_tree(lowercase     )
				__lowerCamelCase		:   List[str]           =       build_tree(lowercase     )
				return root





def 				a_							(    lowercase				,    lowercase				,    lowercase     )      ->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		:   Optional[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				,    lowercase				,    node.map_left[index] - 1     )
				else:
								# go to the right subtree and map index to the right subtree
								return rank_till_index(node.right				,    lowercase				,    index - node.map_left[index]     )





def 				a_							(    lowercase				,    lowercase				,    lowercase				,    lowercase     )      ->int:






				'''simple docstring'''

				if start > end:
								return 0
				__lowerCamelCase		:   List[str]           =       rank_till_index(lowercase				,    lowercase				,    lowercase     )
				__lowerCamelCase		:   List[Any]           =       rank_till_index(lowercase				,    lowercase				,    start - 1     )
				return rank_till_end - rank_before_start





def 				a_							(    lowercase				,    lowercase				,    lowercase				,    lowercase     )      ->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		:   Dict           =       node.map_left[end] - (
				    node.map_left[start - 1] if start else 0
				)
				if num_elements_in_left_tree > index:
								return quantile(
								    node.left				,    lowercase				,    (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 				a_							(    lowercase				,    lowercase				,    lowercase				,    lowercase				,    lowercase     )      ->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		:   List[str]           =       range_counting(
				    node.left				,    (node.map_left[start - 1] if start else 0)				,    node.map_left[end] - 1				,    lowercase				,    lowercase				,    )
				__lowerCamelCase		:   Union[str, Any]           =       range_counting(
				    node.right				,    start - (node.map_left[start - 1] if start else 0)				,    end - node.map_left[end]				,    lowercase				,    lowercase				,    )
				return left + right


if __name__ == "__main__":
				import doctest

				doctest.testmod()







from dataclasses import dataclass
from typing import List, Optional, Union

import numpy as np
import PIL

from ...utils import BaseOutput, is_invisible_watermark_available, is_torch_available, is_transformers_available


@dataclass
class 							lowercase   (						_SCREAMING_SNAKE_CASE  ):
		__lowercase			:			Union[List[PIL.Image.Image], np.ndarray]


if is_transformers_available() and is_torch_available() and is_invisible_watermark_available():
					from .pipeline_stable_diffusion_xl import StableDiffusionXLPipeline
					from .pipeline_stable_diffusion_xl_imgaimg import StableDiffusionXLImgaImgPipeline
