




"""simple docstring"""







import random

def 						snake_case__       (					_lowerCamelCase,  _lowerCamelCase				)			->tuple:






		"""simple docstring"""


		__lowercase						,__lowercase						,__lowercase				:		List[Any]												=				[], [], []
		for element in data:
				if element < pivot:
						less.append(_lowerCamelCase				)
				elif element > pivot:
						greater.append(_lowerCamelCase				)
				else:
						equal.append(_lowerCamelCase				)
		return less, equal, greater





def 						snake_case__       (					_lowerCamelCase,  _lowerCamelCase				)			->Optional[int]:






		"""simple docstring"""


		if index >= len(_lowerCamelCase				) or index < 0:
				return None

		__lowercase				:		Union[str, Any]												=				items[random.randint(0,  len(_lowerCamelCase				) - 1				)]
		__lowercase				:		Tuple												=				0
		__lowercase						,__lowercase						,__lowercase				:		Tuple												=				_partition(_lowerCamelCase,  _lowerCamelCase				)
		__lowercase				:		Any												=				len(_lowerCamelCase				)
		__lowercase				:		Optional[Any]												=				len(_lowerCamelCase				)

		# index is the pivot
		if m <= index < m + count:
				return pivot
		# must be in smaller
		elif m > index:
				return quick_select(_lowerCamelCase,  _lowerCamelCase				)
		# must be in larger
		else:
				return quick_select(_lowerCamelCase,  index - (m + count)				)






"""simple docstring"""







def 						snake_case__       (					_lowerCamelCase				)			->list:






		"""simple docstring"""


		__lowercase				:		Optional[int]												=				[0] * len(_lowerCamelCase				)

		for i in range(1,  len(_lowerCamelCase				)				):
				# use last results for better performance - dynamic programming
				__lowercase				:		Optional[Any]												=				prefix_result[i - 1]
				while j > 0 and input_string[i] != input_string[j]:
						__lowercase				:		List[str]												=				prefix_result[j - 1]

				if input_string[i] == input_string[j]:
						j += 1
				__lowercase				:		Any												=				j

		return prefix_result

def 						snake_case__       (					_lowerCamelCase				)			->int:






		"""simple docstring"""


		return max(prefix_function(_lowerCamelCase				)				)


if __name__ == "__main__":
						import doctest

						doctest.testmod()
