"""simple docstring"""







def   a__      (		UpperCAmelCase__       :			int		,			UpperCAmelCase__       :			str		,			UpperCAmelCase__       :			Tuple		,			UpperCAmelCase__       :			List[str]			)->	Union[str, Any]:

						'''simple docstring'''





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

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


def   a__      (		UpperCAmelCase__       :			Union[str, Any]			)->	Optional[Any]:

						'''simple docstring'''





						UpperCAmelCase__						=		len(UpperCAmelCase__			)

						for index in range(1		,			UpperCAmelCase__			):
												UpperCAmelCase__						=		lst[index]
												UpperCAmelCase__						=		binary_search(UpperCAmelCase__		,			UpperCAmelCase__		,			0		,			index - 1			)
												UpperCAmelCase__						=		lst[:pos] + [value] + lst[pos:index] + lst[index + 1 :]

						return lst


def   a__      (		UpperCAmelCase__       :			Union[str, Any]		,			UpperCAmelCase__       :			List[str]			)->	List[Any]:

						'''simple docstring'''





						if not left:
												return right

						if not right:
												return left

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

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


def   a__      (		UpperCAmelCase__       :			Optional[Any]			)->	List[str]:

						'''simple docstring'''





						UpperCAmelCase__						=		len(UpperCAmelCase__			)
						UpperCAmelCase__	,      UpperCAmelCase__						=		[], []
						UpperCAmelCase__						=		[lst[0]]
						UpperCAmelCase__						=		[]
						UpperCAmelCase__						=		1
						while i < length:
												if lst[i] < lst[i - 1]:
																		runs.append(UpperCAmelCase__			)
																		UpperCAmelCase__						=		[lst[i]]
												else:
																		new_run.append(lst[i]			)
												i += 1
						runs.append(UpperCAmelCase__			)

						for run in runs:
												sorted_runs.append(insertion_sort(UpperCAmelCase__			)			)
						for run in sorted_runs:
												UpperCAmelCase__						=		merge(UpperCAmelCase__		,			UpperCAmelCase__			)

						return sorted_array


def   a__      (		)->	Any:

						'''simple docstring'''





						UpperCAmelCase__						=		[5, 9, 1_0, 3, -4, 5, 1_7_8, 9_2, 4_6, -1_8, 0, 7]
						UpperCAmelCase__						=		tim_sort(UpperCAmelCase__			)
						print(UpperCAmelCase__			)


if __name__ == "__main__":
						main()


"""simple docstring"""







from ..utils import DummyObject, requires_backends


class 			_lowercase		(   metaclass=__lowerCamelCase  ):
				lowerCamelCase__						=       ['torch', 'transformers', 'invisible_watermark']

				def __init__(     self       :    Tuple       ,    *_lowercase       :    int       ,    **_lowercase       :    List[Any]     ):


										'''simple docstring'''
										requires_backends(self       ,    ["""torch""", """transformers""", """invisible_watermark"""]     )

				@classmethod
				def        A (     cls       :    Tuple       ,    *_lowercase       :    Dict       ,    **_lowercase       :    Union[str, Any]     ):


										'''simple docstring'''
										requires_backends(cls       ,    ["""torch""", """transformers""", """invisible_watermark"""]     )

				@classmethod
				def        A (     cls       :    Tuple       ,    *_lowercase       :    Tuple       ,    **_lowercase       :    Any     ):


										'''simple docstring'''
										requires_backends(cls       ,    ["""torch""", """transformers""", """invisible_watermark"""]     )


class 			_lowercase		(   metaclass=__lowerCamelCase  ):
				lowerCamelCase__						=       ['torch', 'transformers', 'invisible_watermark']

				def __init__(     self       :    Union[str, Any]       ,    *_lowercase       :    List[Any]       ,    **_lowercase       :    List[Any]     ):


										'''simple docstring'''
										requires_backends(self       ,    ["""torch""", """transformers""", """invisible_watermark"""]     )

				@classmethod
				def        A (     cls       :    List[str]       ,    *_lowercase       :    Any       ,    **_lowercase       :    Tuple     ):


										'''simple docstring'''
										requires_backends(cls       ,    ["""torch""", """transformers""", """invisible_watermark"""]     )

				@classmethod
				def        A (     cls       :    List[Any]       ,    *_lowercase       :    Optional[Any]       ,    **_lowercase       :    Union[str, Any]     ):


										'''simple docstring'''
										requires_backends(cls       ,    ["""torch""", """transformers""", """invisible_watermark"""]     )

