def 					snake_case						(__lowercase						)       ->       list[int]:

						'''simple docstring'''



						if len(__lowercase						) > 1:
												_snake_case						:     Dict				=    len(__lowercase						) // 2  # Finds the middle of the array
												_snake_case						:     Optional[Any]				=    arr[
												    :middle_length
												]  # Creates an array of the elements in the first half.
												_snake_case						:     Dict				=    arr[
												    middle_length:
												]  # Creates an array of the elements in the second half.
												_snake_case						:     int				=    len(__lowercase						)
												_snake_case						:     List[str]				=    len(__lowercase						)
												merge(__lowercase						)  # Starts sorting the left.
												merge(__lowercase						)  # Starts sorting the right
												_snake_case						:     Dict				=    0  # Left Counter
												_snake_case						:     str				=    0  # Right Counter
												_snake_case						:     Tuple				=    0  # Position Counter
												while (
												    left_index < left_size and right_index < right_size
												):  # Runs until the lowers size of the left and right are sorted.
																		if left_array[left_index] < right_array[right_index]:
																								_snake_case						:     str				=    left_array[left_index]
																								left_index += 1
																		else:
																								_snake_case						:     Optional[int]				=    right_array[right_index]
																								right_index += 1
																		index += 1
												while (
												    left_index < left_size
												):  # Adds the left over elements in the left half of the array
																		_snake_case						:     int				=    left_array[left_index]
																		left_index += 1
																		index += 1
												while (
												    right_index < right_size
												):  # Adds the left over elements in the right half of the array
																		_snake_case						:     Optional[int]				=    right_array[right_index]
																		right_index += 1
																		index += 1
						return arr


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 					__A   (  a			):
				__A            = 42


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





