
"""simple docstring"""






def 		_snake_case			(      lowercase__						:    int ,	lowercase__						:    int ,	lowercase__						:    Union[str, Any] ,	lowercase__						:    List[Any]						)    ->							Dict:


			'''simple docstring'''





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

			lowerCAmelCase_       :Tuple     	=    (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 		_snake_case			(      lowercase__						:    Dict						)    ->							Dict:


			'''simple docstring'''





			lowerCAmelCase_       :Optional[Any]     	=    len(_UpperCAmelCase						)

			for index in range(1 ,	_UpperCAmelCase						):
						lowerCAmelCase_       :Union[str, Any]     	=    lst[index]
						lowerCAmelCase_       :Union[str, Any]     	=    binary_search(_UpperCAmelCase ,	_UpperCAmelCase ,	0 ,	index - 1						)
						lowerCAmelCase_       :Tuple     	=    lst[:pos] + [value] + lst[pos:index] + lst[index + 1 :]

			return lst






def 		_snake_case			(      lowercase__						:    str ,	lowercase__						:    Optional[Any]						)    ->							str:


			'''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 		_snake_case			(      lowercase__						:    Any						)    ->							str:


			'''simple docstring'''





			lowerCAmelCase_       :Tuple     	=    len(_UpperCAmelCase						)
			lowerCAmelCase_       :Optional[Any]     	=    [], []
			lowerCAmelCase_       :Union[str, Any]     	=    [lst[0]]
			lowerCAmelCase_       :Optional[int]     	=    []
			lowerCAmelCase_       :Tuple     	=    1
			while i < length:
						if lst[i] < lst[i - 1]:
									runs.append(_UpperCAmelCase						)
									lowerCAmelCase_       :Union[str, Any]     	=    [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:
						lowerCAmelCase_       :str     	=    merge(_UpperCAmelCase ,	_UpperCAmelCase						)

			return sorted_array






def 		_snake_case			(      )    ->							Tuple:


			'''simple docstring'''





			lowerCAmelCase_       :str     	=    [5, 9, 1_0, 3, -4, 5, 1_7_8, 9_2, 4_6, -1_8, 0, 7]
			lowerCAmelCase_       :Dict     	=    tim_sort(_UpperCAmelCase						)
			print(_UpperCAmelCase						)


if __name__ == "__main__":
				main()










"""simple docstring"""






def 			A__		(					_UpperCAmelCase    :      str	)							->	list:

	'''simple docstring'''


	snake_case__  :						Any		=      []
	snake_case__  :						List[Any]		=      1

	for i in range(len(_UpperCAmelCase	)	):
		if i + 1 < len(_UpperCAmelCase	) and text[i] == text[i + 1]:
			count += 1
		else:
			encoded.append((text[i], count)	)
			snake_case__  :						Dict		=      1

	return encoded



def 			A__		(					_UpperCAmelCase    :      list	)							->	str:

	'''simple docstring'''


	return "".join(char * length for char, length in encoded	)


if __name__ == "__main__":
					from doctest import testmod

					testmod(name="""run_length_encode""", verbose=True)
					testmod(name="""run_length_decode""", verbose=True)





