





def        _SCREAMING_SNAKE_CASE		(			SCREAMING_SNAKE_CASE		:List[Any]    ,    SCREAMING_SNAKE_CASE		:List[Any]    ,    SCREAMING_SNAKE_CASE		:Tuple    ,    SCREAMING_SNAKE_CASE		:Tuple    )			->    List[Any]:

 if start == end:
  return start if lst[start] > item else start + 1
 if start > end:
  return start

 __lowerCAmelCase     :       int						=   (start + end) // 2
 if lst[mid] < item:
  return binary_search(SCREAMING_SNAKE_CASE_    ,    SCREAMING_SNAKE_CASE_    ,    mid + 1    ,    SCREAMING_SNAKE_CASE_    )
 elif lst[mid] > item:
  return binary_search(SCREAMING_SNAKE_CASE_    ,    SCREAMING_SNAKE_CASE_    ,    SCREAMING_SNAKE_CASE_    ,    mid - 1    )
 else:
  return mid






def        _SCREAMING_SNAKE_CASE		(			SCREAMING_SNAKE_CASE		:List[str]    )			->    List[str]:
 __lowerCAmelCase     :       List[str]						=   len(SCREAMING_SNAKE_CASE_    )

 for index in range(1    ,    SCREAMING_SNAKE_CASE_    ):
  __lowerCAmelCase     :       List[Any]						=   lst[index]
  __lowerCAmelCase     :       List[str]						=   binary_search(SCREAMING_SNAKE_CASE_    ,    SCREAMING_SNAKE_CASE_    ,    0    ,    index - 1    )
  __lowerCAmelCase     :       Optional[Any]						=   lst[:pos] + [value] + lst[pos:index] + lst[index + 1 :]

 return lst






def        _SCREAMING_SNAKE_CASE		(			SCREAMING_SNAKE_CASE		:Any    ,    SCREAMING_SNAKE_CASE		:str    )			->    Optional[Any]:

 if not left:
  return right

 if not right:
  return left

 if left[0] < right[0]:
  return [left[0], *merge(left[1:]    ,    SCREAMING_SNAKE_CASE_    )]

 return [right[0], *merge(SCREAMING_SNAKE_CASE_    ,    right[1:]    )]






def        _SCREAMING_SNAKE_CASE		(			SCREAMING_SNAKE_CASE		:Optional[int]    )			->    Any:
 __lowerCAmelCase     :       Any						=   len(SCREAMING_SNAKE_CASE_    )
 __lowerCAmelCase     :       Tuple						=   [], []
 __lowerCAmelCase     :       Optional[int]						=   [lst[0]]
 __lowerCAmelCase     :       str						=   []
 __lowerCAmelCase     :       Tuple						=   1
 while i < length:
  if lst[i] < lst[i - 1]:
   runs.append(SCREAMING_SNAKE_CASE_    )
   __lowerCAmelCase     :       Optional[Any]						=   [lst[i]]
  else:
   new_run.append(lst[i]    )
  i += 1
 runs.append(SCREAMING_SNAKE_CASE_    )

 for run in runs:
  sorted_runs.append(insertion_sort(SCREAMING_SNAKE_CASE_    )    )
 for run in sorted_runs:
  __lowerCAmelCase     :       List[str]						=   merge(SCREAMING_SNAKE_CASE_    ,    SCREAMING_SNAKE_CASE_    )

 return sorted_array






def        _SCREAMING_SNAKE_CASE		(			)			->    Optional[Any]:
 __lowerCAmelCase     :       List[str]						=   [5, 9, 10, 3, -4, 5, 178, 92, 46, -18, 0, 7]
 __lowerCAmelCase     :       Union[str, Any]						=   tim_sort(SCREAMING_SNAKE_CASE_    )
 print(SCREAMING_SNAKE_CASE_    )


if __name__ == "__main__":
      main()


'''simple docstring'''






from ..utils import DummyObject, requires_backends
class 	SCREAMING_SNAKE_CASE__			(				metaclass=_UpperCAmelCase      ):
    _A			    =							["torch", "transformers", "invisible_watermark"]




    def __init__(					self				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(self				,     ["torch", "transformers", "invisible_watermark"]			)




    @classmethod
    def   __lowerCamelCase      (					cls				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(cls				,     ["torch", "transformers", "invisible_watermark"]			)







    @classmethod
    def   __lowerCamelCase      (					cls				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(cls				,     ["torch", "transformers", "invisible_watermark"]			)






class 	SCREAMING_SNAKE_CASE__			(				metaclass=_UpperCAmelCase      ):
    _A			    =							["torch", "transformers", "invisible_watermark"]




    def __init__(					self				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(self				,     ["torch", "transformers", "invisible_watermark"]			)




    @classmethod
    def   __lowerCamelCase      (					cls				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(cls				,     ["torch", "transformers", "invisible_watermark"]			)







    @classmethod
    def   __lowerCamelCase      (					cls				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(cls				,     ["torch", "transformers", "invisible_watermark"]			)

