



"""simple docstring"""







import unittest

from knapsack import knapsack as k

class       _a  ( unittest.TestCase):



			def 				__lowercase					(			self							:				Optional[int]		)							->					List[Any]:
									snake_case   :			Optional[int]						    = 0
									snake_case   :			Optional[int]						    = [0]
									snake_case   :			List[str]						    = [0]
									snake_case   :			Any						    = len(_lowercase		)
									self.assertEqual(k.knapsack(_lowercase   ,	_lowercase   ,	_lowercase   ,	_lowercase		)   ,	0		)

									snake_case   :			Tuple						    = [60]
									snake_case   :			int						    = [10]
									snake_case   :			Tuple						    = len(_lowercase		)
									self.assertEqual(k.knapsack(_lowercase   ,	_lowercase   ,	_lowercase   ,	_lowercase		)   ,	0		)



			def 				__lowercase					(			self							:				Dict		)							->					List[Any]:
									snake_case   :			List[Any]						    = 3
									snake_case   :			List[str]						    = [1, 2, 3]
									snake_case   :			str						    = [3, 2, 1]
									snake_case   :			Tuple						    = len(_lowercase		)
									self.assertEqual(k.knapsack(_lowercase   ,	_lowercase   ,	_lowercase   ,	_lowercase		)   ,	5		)



			def 				__lowercase					(			self							:				List[Any]		)							->					Optional[Any]:
									snake_case   :			Union[str, Any]						    = 50
									snake_case   :			Any						    = [60, 100, 120]
									snake_case   :			Union[str, Any]						    = [10, 20, 30]
									snake_case   :			Optional[int]						    = len(_lowercase		)
									self.assertEqual(k.knapsack(_lowercase   ,	_lowercase   ,	_lowercase   ,	_lowercase		)   ,	220		)


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








"""simple docstring"""







import math
import sys

def  __SCREAMING_SNAKE_CASE		(			lowerCamelCase_:							int ):
						"""simple docstring"""






						if number != int(lowerCamelCase_ ):
												raise ValueError("the value of input must be a natural number" )
						if number < 0:
												raise ValueError("the value of input must not be a negative number" )
						if number == 0:
												return 1
						snake_case   :			List[str]						    = [-1] * (number + 1)
						snake_case   :			str						    = 0
						for i in range(1     ,		number + 1 ):
												snake_case   :			Tuple						    = sys.maxsize
												snake_case   :			Optional[Any]						    = int(math.sqrt(lowerCamelCase_ ) )
												for j in range(1     ,		root + 1 ):
																		snake_case   :			List[str]						    = 1 + answers[i - (j**2)]
																		snake_case   :			List[str]						    = min(lowerCamelCase_     ,		lowerCamelCase_ )
												snake_case   :			Dict						    = answer
						return answers[number]


if __name__ == "__main__":
			import doctest

			doctest.testmod()



