
import math




def 		A_       (							snake_case							:      Any       )					->			list[int]:



						'''simple docstring'''

						__UpperCamelCase        =	[]
						__UpperCamelCase        =	2
						__UpperCamelCase        =	int(math.sqrt(__UpperCAmelCase       )       )  # Size of every segment
						__UpperCamelCase        =	[True] * (end + 1)
						__UpperCamelCase        =	[]

						while start <= end:
												if temp[start] is True:
																		in_prime.append(__UpperCAmelCase       )
																		for i in range(start * start       ,					end + 1       ,					__UpperCAmelCase       ):
																								__UpperCamelCase        =	False
												start += 1
						prime += in_prime

						__UpperCamelCase        =	end + 1
						__UpperCamelCase        =	min(2 * end       ,					__UpperCAmelCase       )

						while low <= n:
												__UpperCamelCase        =	[True] * (high - low + 1)
												for each in in_prime:
																		__UpperCamelCase        =	math.floor(low / each       ) * each
																		if t < low:
																								t += each

																		for j in range(__UpperCAmelCase       ,					high + 1       ,					__UpperCAmelCase       ):
																								__UpperCamelCase        =	False

												for j in range(len(__UpperCAmelCase       )       ):
																		if temp[j] is True:
																								prime.append(j + low       )

												__UpperCamelCase        =	high + 1
												__UpperCamelCase        =	min(high + end       ,					__UpperCAmelCase       )

						return prime



print(sieve(1_0**6))










'''simple docstring'''

from __future__ import annotations

import math


def 		__magic_name__    (	__UpperCAmelCase,      __UpperCAmelCase,      __UpperCAmelCase,      __UpperCAmelCase,      __UpperCAmelCase	)		->					int:

					'''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 		__magic_name__    (	)		->					None:

					'''simple docstring'''

					snake_case_									=				[90, 23, 6, 33, 21, 65, 123, 3_4423]
					snake_case_									=				math.log(len(__UpperCAmelCase	),      2	)
					print('''Optimal value : ''',      end=''''''	)
					print(minimax(0,      0,      __UpperCAmelCase,      __UpperCAmelCase,      __UpperCAmelCase	)	)


if __name__ == "__main__":
							import doctest

							doctest.testmod()
							main()

