
from __future__ import annotations

import math




def 							a		(				snake_case__:   int		,  snake_case__:   int		,  snake_case__:   bool		,  snake_case__:   list[int]		,  snake_case__:   float   ):


				'''simple docstring'''

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

				if len(snake_case__   ) == 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		,  snake_case__		,  snake_case__		,  snake_case__   )		,  minimax(depth + 1		,  node_index * 2 + 1		,  snake_case__		,  snake_case__		,  snake_case__   )		,  )

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




def 							a		(				):


				'''simple docstring'''
				lowercase_	    =   [90, 23, 6, 33, 21, 65, 123, 34_423]
				lowercase_	    =   math.log(len(snake_case__   )		,  2   )
				print('''Optimal value : '''		,  end=''''''   )
				print(minimax(0		,  0		,  snake_case__		,  snake_case__		,  snake_case__   )   )


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						main()






import unittest

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



	"""simple docstring"""




	def 		_lowercase    (			self    :     Optional[int]			)			->	str:
					lowercase_	    =   0
					lowercase_	    =   [0]
					lowercase_	    =   [0]
					lowercase_	    =   len(SCREAMING_SNAKE_CASE_			)
					self.assertEqual(k.knapsack(SCREAMING_SNAKE_CASE_			,				SCREAMING_SNAKE_CASE_			,				SCREAMING_SNAKE_CASE_			,				SCREAMING_SNAKE_CASE_			)			,				0			)

					lowercase_	    =   [6_0]
					lowercase_	    =   [1_0]
					lowercase_	    =   len(SCREAMING_SNAKE_CASE_			)
					self.assertEqual(k.knapsack(SCREAMING_SNAKE_CASE_			,				SCREAMING_SNAKE_CASE_			,				SCREAMING_SNAKE_CASE_			,				SCREAMING_SNAKE_CASE_			)			,				0			)
	def 		_lowercase    (			self    :     int			)			->	str:
					lowercase_	    =   3
					lowercase_	    =   [1, 2, 3]
					lowercase_	    =   [3, 2, 1]
					lowercase_	    =   len(SCREAMING_SNAKE_CASE_			)
					self.assertEqual(k.knapsack(SCREAMING_SNAKE_CASE_			,				SCREAMING_SNAKE_CASE_			,				SCREAMING_SNAKE_CASE_			,				SCREAMING_SNAKE_CASE_			)			,				5			)




	def 		_lowercase    (			self    :     str			)			->	Tuple:
					lowercase_	    =   5_0
					lowercase_	    =   [6_0, 1_0_0, 1_2_0]
					lowercase_	    =   [1_0, 2_0, 3_0]
					lowercase_	    =   len(SCREAMING_SNAKE_CASE_			)
					self.assertEqual(k.knapsack(SCREAMING_SNAKE_CASE_			,				SCREAMING_SNAKE_CASE_			,				SCREAMING_SNAKE_CASE_			,				SCREAMING_SNAKE_CASE_			)			,				2_2_0			)


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




