





from __future__ import annotations





def    _lowercase    (  _UpperCAmelCase	,					_UpperCAmelCase )  ->     List[str]:
				lowerCamelCase		       =0
				lowerCamelCase		       =len(_UpperCAmelCase ) - 1
				while left <= right:
								lowerCamelCase		       =(left + right) // 2
								if left == right:
												if sorted_list[middle] < item:
																lowerCamelCase		       =middle + 1
												break
								elif sorted_list[middle] < item:
												lowerCamelCase		       =middle + 1
								else:
												lowerCamelCase		       =middle - 1
				sorted_list.insert(_UpperCAmelCase	,					_UpperCAmelCase )
				return sorted_list





def    _lowercase    (  _UpperCAmelCase	,					_UpperCAmelCase )  ->     Dict:
				lowerCamelCase		       =[]
				while left and right:
								if left[0][0] < right[0][0]:
												result.append(left.pop(0 ) )
								else:
												result.append(right.pop(0 ) )
				return result + left + right





def    _lowercase    (  _UpperCAmelCase )  ->     Optional[int]:
				lowerCamelCase		       =len(_UpperCAmelCase )
				if length <= 1:
								return list_ad
				lowerCamelCase		       =length // 2
				return merge(sortlist_ad(list_ad[:middle] )	,					sortlist_ad(list_ad[middle:] ) )





def    _lowercase    (  _UpperCAmelCase )  ->     list[int]:

				if len(_UpperCAmelCase ) <= 1:
								return collection
				lowerCamelCase		       =[]
				lowerCamelCase		       =False
				for i in range(0	,					len(_UpperCAmelCase )	,					2 ):
								if i == len(_UpperCAmelCase ) - 1:
												lowerCamelCase		       =True
								else:
												if collection[i] < collection[i + 1]:
																two_paired_list.append([collection[i], collection[i + 1]] )
												else:
																two_paired_list.append([collection[i + 1], collection[i]] )
				lowerCamelCase		       =sortlist_ad(_UpperCAmelCase )
				lowerCamelCase		       =[i[0] for i in sorted_list_ad]
				result.append(sorted_list_ad[-1][1] )
				if has_last_odd_item:
								lowerCamelCase		       =collection[-1]
								lowerCamelCase		       =binary_search_insertion(_UpperCAmelCase	,					_UpperCAmelCase )
				lowerCamelCase		       =False
				for i in range(len(_UpperCAmelCase ) - 1 ):
								if result[i] == collection[-1] and has_last_odd_item:
												lowerCamelCase		       =True
								lowerCamelCase		       =sorted_list_ad[i][1]
								# If last_odd_item is inserted before the item's index,
								# you should forward index one more.
								if is_last_odd_item_inserted_before_this_index:
												lowerCamelCase		       =result[: i + 2] + binary_search_insertion(result[i + 2 :]	,					_UpperCAmelCase )
								else:
												lowerCamelCase		       =result[: i + 1] + binary_search_insertion(result[i + 1 :]	,					_UpperCAmelCase )

				return result


if __name__ == "__main__":
							UpperCAmelCase__  :	Optional[Any]     =input('''Enter numbers separated by a comma:\n''').strip()
							UpperCAmelCase__  :	List[str]     =[int(item) for item in user_input.split(''',''')]
							print(merge_insertion_sort(unsorted))












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





