


from __future__ import annotations

import math


def 		lowercase_  (     _UpperCamelCase       ,			_UpperCamelCase       ,			_UpperCamelCase       ,			_UpperCamelCase       ,			_UpperCamelCase  ):


			'''simple docstring'''







			if depth < 0:
						raise ValueError('''Depth cannot be less than 0'''  )

			if len(_UpperCamelCase  ) == 0:
						raise ValueError('''Scores cannot be empty'''  )

			if depth == height:
						return scores[node_index]

			if is_max:
						return max(
						    minimax(depth + 1       ,			node_index * 2       ,			_UpperCamelCase       ,			_UpperCamelCase       ,			_UpperCamelCase  )       ,			minimax(depth + 1       ,			node_index * 2 + 1       ,			_UpperCamelCase       ,			_UpperCamelCase       ,			_UpperCamelCase  )       ,			)

			return min(
			    minimax(depth + 1       ,			node_index * 2       ,			_UpperCamelCase       ,			_UpperCamelCase       ,			_UpperCamelCase  )       ,			minimax(depth + 1       ,			node_index * 2 + 1       ,			_UpperCamelCase       ,			_UpperCamelCase       ,			_UpperCamelCase  )       ,			)


def 		lowercase_  (     ):


			'''simple docstring'''







			__lowercase 					=   [90, 23, 6, 33, 21, 65, 1_23, 3_44_23]
			__lowercase 					=   math.log(len(_UpperCamelCase  )       ,			2  )
			print('''Optimal value : '''       ,			end=''''''  )
			print(minimax(0       ,			0       ,			_UpperCamelCase       ,			_UpperCamelCase       ,			_UpperCamelCase  )  )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()






import unittest

from knapsack import knapsack as k
class 	lowerCamelCase_       (				unittest.TestCase				):



					'''simple docstring'''







					def A      (				self						)   ->			Optional[Any]:







								'''simple docstring'''

								__lowercase 					=   0
								__lowercase 					=   [0]
								__lowercase 					=   [0]
								__lowercase 					=   len(snake_case_						)
								self.assertEqual(k.knapsack(snake_case_ ,       snake_case_ ,       snake_case_ ,       snake_case_						) ,       0						)

								__lowercase 					=   [6_0]
								__lowercase 					=   [1_0]
								__lowercase 					=   len(snake_case_						)
								self.assertEqual(k.knapsack(snake_case_ ,       snake_case_ ,       snake_case_ ,       snake_case_						) ,       0						)






					def A      (				self						)   ->			Tuple:







								'''simple docstring'''

								__lowercase 					=   3
								__lowercase 					=   [1, 2, 3]
								__lowercase 					=   [3, 2, 1]
								__lowercase 					=   len(snake_case_						)
								self.assertEqual(k.knapsack(snake_case_ ,       snake_case_ ,       snake_case_ ,       snake_case_						) ,       5						)






					def A      (				self						)   ->			str:







								'''simple docstring'''

								__lowercase 					=   5_0
								__lowercase 					=   [6_0, 1_0_0, 1_2_0]
								__lowercase 					=   [1_0, 2_0, 3_0]
								__lowercase 					=   len(snake_case_						)
								self.assertEqual(k.knapsack(snake_case_ ,       snake_case_ ,       snake_case_ ,       snake_case_						) ,       2_2_0						)


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


