




"""simple docstring"""







from __future__ import annotations

# This is the precision for this function which can be altered.
# It is recommended for users to keep this number greater than or equal to 10.
__A   :  List[Any]					=      1_0

def 						snake_case__       (					_lowerCamelCase,  _lowerCamelCase,  _lowerCamelCase,  _lowerCamelCase				)			->int:






		"""simple docstring"""


		for i in range(_lowerCamelCase,  _lowerCamelCase				):
				if array[i] == target:
						return i
		return -1

def 						snake_case__       (					_lowerCamelCase,  _lowerCamelCase				)			->int:






		"""simple docstring"""


		__lowercase				:		Optional[Any]												=				0
		__lowercase				:		Any												=				len(_lowerCamelCase				)
		while left <= right:
				if right - left < precision:
						return lin_search(_lowerCamelCase,  _lowerCamelCase,  _lowerCamelCase,  _lowerCamelCase				)

				__lowercase				:		Tuple												=				(left + right) // 3 + 1
				__lowercase				:		List[Any]												=				2 * (left + right) // 3 + 1

				if array[one_third] == target:
						return one_third
				elif array[two_third] == target:
						return two_third

				elif target < array[one_third]:
						__lowercase				:		Dict												=				one_third - 1
				elif array[two_third] < target:
						__lowercase				:		Dict												=				two_third + 1

				else:
						__lowercase				:		List[str]												=				one_third + 1
						__lowercase				:		Optional[Any]												=				two_third - 1
		else:
				return -1

def 						snake_case__       (					_lowerCamelCase,  _lowerCamelCase,  _lowerCamelCase,  _lowerCamelCase				)			->int:






		"""simple docstring"""


		if left < right:
				if right - left < precision:
						return lin_search(_lowerCamelCase,  _lowerCamelCase,  _lowerCamelCase,  _lowerCamelCase				)
				__lowercase				:		Tuple												=				(left + right) // 3 + 1
				__lowercase				:		Optional[Any]												=				2 * (left + right) // 3 + 1

				if array[one_third] == target:
						return one_third
				elif array[two_third] == target:
						return two_third

				elif target < array[one_third]:
						return rec_ternary_search(_lowerCamelCase,  one_third - 1,  _lowerCamelCase,  _lowerCamelCase				)
				elif array[two_third] < target:
						return rec_ternary_search(two_third + 1,  _lowerCamelCase,  _lowerCamelCase,  _lowerCamelCase				)
				else:
						return rec_ternary_search(one_third + 1,  two_third - 1,  _lowerCamelCase,  _lowerCamelCase				)
		else:
				return -1


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						__A   :  str					=      input('Enter numbers separated by comma:\n').strip()
						__A   :  Optional[int]					=      [int(item.strip()) for item in user_input.split(',')]
						assert collection == sorted(collection), F"List must be ordered.\n{collection}."
						__A   :  Tuple					=      int(input('Enter the number to be found in the list:\n').strip())
						__A   :  Any					=      ite_ternary_search(collection, target)
						__A   :  List[str]					=      rec_ternary_search(0, len(collection) - 1, collection, target)
						if resulta != -1:
												print(F"""Iterative search: {target} found at positions: {resulta}""")
												print(F"""Recursive search: {target} found at positions: {resulta}""")
						else:
												print('Not found')






"""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()
