code: 
  
  
  '''simple docstring'''
  
  
  
  
  
  from __future__ import annotations
  def 							_UpperCAmelCase       (UpperCamelCase__  :						List[Any]       ,							UpperCamelCase__  :						Optional[int]		):
         _A   : str       					=				0
         _A   : List[str]       					=				len(UpperCamelCase__		) - 1
         while left <= right:
                _A   : str       					=				(left + right) // 2
                if left == right:
                       if sorted_list[middle] < item:
                              _A   : Dict       					=				middle + 1
                       break
                elif sorted_list[middle] < item:
                       _A   : Optional[Any]       					=				middle + 1
                else:
                       _A   : Any       					=				middle - 1
         sorted_list.insert(UpperCamelCase__       ,							UpperCamelCase__		)
         return sorted_list
  def 							_UpperCAmelCase       (UpperCamelCase__  :						Tuple       ,							UpperCamelCase__  :						List[str]		):
         _A   : int       					=				[]
         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 							_UpperCAmelCase       (UpperCamelCase__  :						Dict		):
         _A   : Tuple       					=				len(UpperCamelCase__		)
         if length <= 1:
                return list_ad
         _A   : Optional[int]       					=				length // 2
         return merge(sortlist_ad(list_ad[:middle]		)       ,							sortlist_ad(list_ad[middle:]		)		)
  def 							_UpperCAmelCase       (UpperCamelCase__  :						list[int]		):
  
         if len(UpperCamelCase__		) <= 1:
                return collection
         _A   : Optional[int]       					=				[]
         _A   : List[Any]       					=				False
         for i in range(0       ,							len(UpperCamelCase__		)       ,							2		):
                if i == len(UpperCamelCase__		) - 1:
                       _A   : Optional[int]       					=				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]]		)
         _A   : Tuple       					=				sortlist_ad(UpperCamelCase__		)
         _A   : Optional[int]       					=				[i[0] for i in sorted_list_ad]
         result.append(sorted_list_ad[-1][1]		)
         if has_last_odd_item:
                _A   : Optional[int]       					=				collection[-1]
                _A   : List[str]       					=				binary_search_insertion(UpperCamelCase__       ,							UpperCamelCase__		)
         _A   : Union[str, Any]       					=				False
         for i in range(len(UpperCamelCase__		) - 1		):
                if result[i] == collection[-1] and has_last_odd_item:
                       _A   : Dict       					=				True
                _A   : int       					=				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:
                       _A   : Optional[Any]       					=				result[: i + 2] + binary_search_insertion(result[i + 2 :]       ,							UpperCamelCase__		)
                else:
                       _A   : Union[str, Any]       					=				result[: i + 1] + binary_search_insertion(result[i + 1 :]       ,							UpperCamelCase__		)
  
         return result
  
  
  if __name__ == "__main__":
      lowerCAmelCase__   	=				input('Enter numbers separated by a comma:\n').strip()
      lowerCAmelCase__   	=				[int(item) for item in user_input.split(',')]
      print(merge_insertion_sort(unsorted))
  
style_context: 
  
  
  lowerCAmelCase__   	=				'\n# Transformers installation\n! pip install transformers datasets evaluate\n# To install from source instead of the last release, comment the command above and uncomment the following one.\n# ! pip install git+https://github.com/huggingface/transformers.git\n'
  
  lowerCAmelCase__   	=				[{'type': 'code', 'content': INSTALL_CONTENT}]
  lowerCAmelCase__   	=				{
      '{processor_class}': 'FakeProcessorClass',
      '{model_class}': 'FakeModelClass',
      '{object_class}': 'FakeObjectClass',
  }
  