





"""simple docstring"""





from __future__ import annotations




def 		lowerCAmelCase_     (  lowercase_       :							Optional[Any]			,				lowercase_       :							Tuple		):

 '''simple docstring'''






 __SCREAMING_SNAKE_CASE			:      Optional[int] 							=	0
 __SCREAMING_SNAKE_CASE			:      Optional[int] 							=	len(lowercase_		) - 1
 while left <= right:
  __SCREAMING_SNAKE_CASE			:      Optional[Any] 							=	(left + right) // 2
  if left == right:
   if sorted_list[middle] < item:
    __SCREAMING_SNAKE_CASE			:      Any 							=	middle + 1
   break
  elif sorted_list[middle] < item:
   __SCREAMING_SNAKE_CASE			:      List[str] 							=	middle + 1
  else:
   __SCREAMING_SNAKE_CASE			:      Dict 							=	middle - 1
 sorted_list.insert(lowercase_			,				lowercase_		)
 return sorted_list




def 		lowerCAmelCase_     (  lowercase_       :							Optional[Any]			,				lowercase_       :							List[str]		):

 '''simple docstring'''






 __SCREAMING_SNAKE_CASE			:      Union[str, Any] 							=	[]
 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 		lowerCAmelCase_     (  lowercase_       :							int		):

 '''simple docstring'''






 __SCREAMING_SNAKE_CASE			:      List[Any] 							=	len(lowercase_		)
 if length <= 1:
  return list_ad
 __SCREAMING_SNAKE_CASE			:      Optional[Any] 							=	length // 2
 return merge(sortlist_ad(list_ad[:middle]		)			,				sortlist_ad(list_ad[middle:]		)		)




def 		lowerCAmelCase_     (  lowercase_       :							Dict		):

 '''simple docstring'''






 if len(lowercase_		) <= 1:
  return collection
 __SCREAMING_SNAKE_CASE			:      Tuple 							=	[]
 __SCREAMING_SNAKE_CASE			:      Any 							=	False
 for i in range(0			,				len(lowercase_		)			,				2		):
  if i == len(lowercase_		) - 1:
   __SCREAMING_SNAKE_CASE			:      Tuple 							=	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]]		)
 __SCREAMING_SNAKE_CASE			:      List[Any] 							=	sortlist_ad(lowercase_		)
 __SCREAMING_SNAKE_CASE			:      int 							=	[i[0] for i in sorted_list_ad]
 result.append(sorted_list_ad[-1][1]		)
 if has_last_odd_item:
  __SCREAMING_SNAKE_CASE			:      Optional[Any] 							=	collection[-1]
  __SCREAMING_SNAKE_CASE			:      Tuple 							=	binary_search_insertion(lowercase_			,				lowercase_		)
 __SCREAMING_SNAKE_CASE			:      Tuple 							=	False
 for i in range(len(lowercase_		) - 1		):
  if result[i] == collection[-1] and has_last_odd_item:
   __SCREAMING_SNAKE_CASE			:      Tuple 							=	True
  __SCREAMING_SNAKE_CASE			:      Optional[Any] 							=	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:
   __SCREAMING_SNAKE_CASE			:      Union[str, Any] 							=	result[: i + 2] + binary_search_insertion(result[i + 2 :]			,				lowercase_		)
  else:
   __SCREAMING_SNAKE_CASE			:      Dict 							=	result[: i + 1] + binary_search_insertion(result[i + 1 :]			,				lowercase_		)

 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))








"""simple docstring"""





from ..utils import DummyObject, requires_backends





class       snake_case		(       metaclass=__UpperCAmelCase       ):
      lowerCamelCase__      =			['''torch''', '''transformers''', '''invisible_watermark''']

      def __init__(      self       :Optional[int]						,							*_lowerCamelCase       :int						,							**_lowerCamelCase       :Any						):
       requires_backends(self						,							['''torch''', '''transformers''', '''invisible_watermark''']						)

      @classmethod
      def 						SCREAMING_SNAKE_CASE_      (      cls       :Dict						,							*_lowerCamelCase       :Optional[Any]						,							**_lowerCamelCase       :int						):
       requires_backends(cls						,							['''torch''', '''transformers''', '''invisible_watermark''']						)



      @classmethod
      def 						SCREAMING_SNAKE_CASE_      (      cls       :Optional[int]						,							*_lowerCamelCase       :Optional[Any]						,							**_lowerCamelCase       :Union[str, Any]						):
       requires_backends(cls						,							['''torch''', '''transformers''', '''invisible_watermark''']						)







class       snake_case		(       metaclass=__UpperCAmelCase       ):
      lowerCamelCase__      =			['''torch''', '''transformers''', '''invisible_watermark''']

      def __init__(      self       :Dict						,							*_lowerCamelCase       :Dict						,							**_lowerCamelCase       :Optional[Any]						):
       requires_backends(self						,							['''torch''', '''transformers''', '''invisible_watermark''']						)

      @classmethod
      def 						SCREAMING_SNAKE_CASE_      (      cls       :Optional[int]						,							*_lowerCamelCase       :int						,							**_lowerCamelCase       :Optional[int]						):
       requires_backends(cls						,							['''torch''', '''transformers''', '''invisible_watermark''']						)



      @classmethod
      def 						SCREAMING_SNAKE_CASE_      (      cls       :List[Any]						,							*_lowerCamelCase       :Dict						,							**_lowerCamelCase       :List[str]						):
       requires_backends(cls						,							['''torch''', '''transformers''', '''invisible_watermark''']						)

