


'''simple docstring'''
import math


def      a (     __a  )    ->      list[int]:



					'''simple docstring'''






					UpperCamelCase__  :Any				   =					[]
					UpperCamelCase__  :str				   =					2
					UpperCamelCase__  :Tuple				   =					int(math.sqrt(__a  )  )  # Size of every segment
					UpperCamelCase__  :List[Any]				   =					[True] * (end + 1)
					UpperCamelCase__  :Union[str, Any]				   =					[]

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

					UpperCamelCase__  :Optional[int]				   =					end + 1
					UpperCamelCase__  :Dict				   =					min(2 * end					,   __a  )

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

															for j in range(__a					,   high + 1					,   __a  ):
																				UpperCamelCase__  :List[str]				   =					False

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

										UpperCamelCase__  :List[str]				   =					high + 1
										UpperCamelCase__  :Optional[Any]				   =					min(high + end					,   __a  )

					return prime







print(sieve(10**6))



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

import math


def      a (     __a					,   __a					,   __a					,   __a					,   __a  )    ->      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      a (     )    ->      None:



					'''simple docstring'''






					UpperCamelCase__  :str				   =					[90, 23, 6, 33, 21, 65, 123, 34423]
					UpperCamelCase__  :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()