

from __future__ import annotations
def 							__SCREAMING_SNAKE_CASE     (   a__    :   Any       )					->				None:
	create_state_space_tree(_lowerCamelCase			,[]			,0			,[0 for i in range(len(_lowerCamelCase       )       )]       )
def 							__SCREAMING_SNAKE_CASE     (   a__    :   Tuple			,a__    :   Union[str, Any]			,a__    :   int			,a__    :   str			,)					->				None:


	if index == len(_lowerCamelCase       ):
		print(_lowerCamelCase       )
		return

	for i in range(len(_lowerCamelCase       )       ):
		if not index_used[i]:
			current_sequence.append(sequence[i]       )
			__A :			Tuple		    =			True
			create_state_space_tree(_lowerCamelCase			,_lowerCamelCase			,index + 1			,_lowerCamelCase       )
			current_sequence.pop()
			__A :			str		    =			False
UpperCAmelCase_							:					Optional[int]		 =   [3, 1, 2, 4]
generate_all_permutations(sequence)

UpperCAmelCase_							:					str		 =   ['''A''', '''B''', '''C''']







generate_all_permutations(sequence_a)












'''simple docstring'''






from __future__ import annotations

import math







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



			"""simple docstring"""


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

			if not scores:
						raise ValueError("""Scores cannot be empty""" )

			if depth == height:
						return scores[node_index]

			return (
			    max(
			        minimax(depth + 1    ,	node_index * 2    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )    ,	minimax(depth + 1    ,	node_index * 2 + 1    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )    ,	)
			    if is_max
			    else min(
			        minimax(depth + 1    ,	node_index * 2    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )    ,	minimax(depth + 1    ,	node_index * 2 + 1    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )    ,	)
			)







def 					_a						(       ) ->				None:



			"""simple docstring"""


			__snake_case					:      Union[str, Any]							      =     [90, 23, 6, 33, 21, 65, 123, 3_4423]
			__snake_case					:      Optional[int]							      =     math.log(len(_lowerCamelCase )    ,	2 )
			print(F'''Optimal value : {minimax(0    ,	0    ,	_lowerCamelCase    ,	_lowerCamelCase    ,	_lowerCamelCase )}''' )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()


