




"""simple docstring"""






import math







def      _snake_case			(				lowercase__		):

				if not isinstance(lowercase__							,    lowercase__		):
								_lowerCamelCase     :			Any    =    f'''Input value of [number={number}] must be an integer'''
								raise TypeError(lowercase__		)

				if number < 1:
								_lowerCamelCase     :			Tuple    =    f'''Input value of [number={number}] must be > 0'''
								raise ValueError(lowercase__		)
				elif number == 1:
								return 3
				elif number == 2:
								return 5
				else:
								_lowerCamelCase     :			Optional[Any]    =    int(math.log(number // 3							,    2		)		) + 2

								_lowerCamelCase     :			int    =    [3, 5]
								_lowerCamelCase     :			Dict    =    2
								_lowerCamelCase     :			Optional[int]    =    3
								for block in range(1							,    lowercase__		):
												for _ in range(lowercase__		):
																proth_list.append(2 ** (block + 1) + proth_list[proth_index - 1]		)
																proth_index += 1
												increment *= 2

				return proth_list[number - 1]


if __name__ == "__main__":
			import doctest

			doctest.testmod()

			for number in range(11):
						lowercase__     						=						0
						try:
									lowercase__     						=						proth(number)
						except ValueError:
									print(F"ValueError: there is no {number}th Proth number")
									continue

						print(F"The {number}th Proth number: {value}")



"""simple docstring"""







import unittest

from knapsack import knapsack as k






class 						_A  (  unittest.TestCase  ):







    """simple docstring"""




    def 	__snake_case							(					self				:    List[Any]):
      a						:		str      							=			0
      a						:		Optional[int]      							=			[0]
      a						:		Union[str, Any]      							=			[0]
      a						:		Any      							=			len(__UpperCAmelCase)
      self.assertEqual(k.knapsack(__UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase)				, 0)

      a						:		List[str]      							=			[60]
      a						:		str      							=			[10]
      a						:		Optional[int]      							=			len(__UpperCAmelCase)
      self.assertEqual(k.knapsack(__UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase)				, 0)






    def 	__snake_case							(					self				:    Optional[int]):
      a						:		Any      							=			3
      a						:		str      							=			[1, 2, 3]
      a						:		Tuple      							=			[3, 2, 1]
      a						:		Any      							=			len(__UpperCAmelCase)
      self.assertEqual(k.knapsack(__UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase)				, 5)






    def 	__snake_case							(					self				:    Tuple):
      a						:		int      							=			50
      a						:		List[Any]      							=			[60, 100, 120]
      a						:		Optional[int]      							=			[10, 20, 30]
      a						:		str      							=			len(__UpperCAmelCase)
      self.assertEqual(k.knapsack(__UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase				, __UpperCAmelCase)				, 220)


if __name__ == "__main__":
 unittest.main()






