

from __future__ import annotations

import math



def   __UpperCAmelCase					(      __a :     int						,__a :     int						,__a :     bool						,__a :     list[int]						,__a :     float      )     ->	int:

					"""simple docstring"""

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

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

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



def   __UpperCAmelCase					(      )     ->	None:

					"""simple docstring"""

					_a      :       List[Any]   =						[90, 23, 6, 33, 21, 65, 123, 34_423]
					_a      :       List[Any]   =						math.log(len(__a      )						,2      )
					print('''Optimal value : '''						,end=''''''      )
					print(minimax(0						,0						,__a						,__a						,__a      )      )


if __name__ == "__main__":
			import doctest

			doctest.testmod()
			main()







'''simple docstring'''
import string
from math import logaa







def       a_				(	UpperCamelCase_						,  UpperCamelCase_ ):
							A_			    =		document.translate(
							    str.maketrans(""						,  ""						,  string.punctuation ) ).replace("\n"						,  "" )
							A_			    =		document_without_punctuation.split(" " )  # word tokenization
							return len([word for word in tokenize_document if word.lower() == term.lower()] )







def       a_				(	UpperCamelCase_						,  UpperCamelCase_ ):
							A_			    =		corpus.lower().translate(
							    str.maketrans(""						,  ""						,  string.punctuation ) )  # strip all punctuation and replace it with ''
							A_			    =		corpus_without_punctuation.split("\n" )
							A_			    =		term.lower()
							return (len([doc for doc in docs if term in doc] ), len(UpperCamelCase_ ))







def       a_				(	UpperCamelCase_						,  UpperCamelCase_						,  UpperCamelCase_=False ):
							if smoothing:
														if n == 0:
																					raise ValueError("log10(0) is undefined." )
														return round(1 + logaa(n / (1 + df) )						,  3 )

							if df == 0:
														raise ZeroDivisionError("df must be > 0" )
							elif n == 0:
														raise ValueError("log10(0) is undefined." )
							return round(logaa(n / df )						,  3 )







def       a_				(	UpperCamelCase_						,  UpperCamelCase_ ):
							return round(tf * idf						,  3 )





