






'''simple docstring'''
from __future__ import annotations

import math





def 			_a(	UpperCamelCase__					:    List[Any],						UpperCamelCase__					:    List[Any],						UpperCamelCase__					:    Dict,						UpperCamelCase__					:    str,						UpperCamelCase__					:    List[str]				):




      '''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(	):




      '''simple docstring'''






      SCREAMING_SNAKE_CASE__  :					Dict						=[9_0, 2_3, 6, 3_3, 2_1, 6_5, 1_2_3, 3_4_4_2_3]
      SCREAMING_SNAKE_CASE__  :					Tuple						=math.log(len(lowerCAmelCase_				),						2				)
      print(f"Optimal value : {minimax(0,						0,						lowerCAmelCase_,						lowerCAmelCase_,						lowerCAmelCase_				)}"				)


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  main()




'''simple docstring'''

import re

from filelock import FileLock


try:
							import nltk

							__lowerCAmelCase		     =  True
except (ImportError, ModuleNotFoundError):
							__lowerCAmelCase		     =  False

if NLTK_AVAILABLE:
							with FileLock('''.lock''') as lock:
														nltk.download('''punkt''', quiet=True)



def 	__lowerCamelCase	( lowerCAmelCase_    )     -> str:
		re.sub('<n>'		,     ''		,     lowerCAmelCase_    )  # remove pegasus newline char
		assert NLTK_AVAILABLE, "nltk must be installed to separate newlines between sentences. (pip install nltk)"
		return "\n".join(nltk.sent_tokenize(lowerCAmelCase_    )    )




