


'''simple docstring'''





from __future__ import annotations

import sys
from collections import deque
from typing import Generic, TypeVar

A      = TypeVar("T")


class     lowercase__  (					Generic[T]		):
  A__=  42  # Cache store of keys
  A__=  42  # References of the keys in cache
  A__=  10  # Maximum capacity of cache






  def __init__(					self      :					int		,						_lowercase      :					int ):




         """simple docstring"""







         UpperCAmelCase__										=     deque()
         UpperCAmelCase__										=     set()
         if not n:
                UpperCAmelCase__										=     sys.maxsize
         elif n < 0:
                raise ValueError("n should be an integer greater than 0." )
         else:
                UpperCAmelCase__										=     n






  def 			_UpperCAmelCase  (					self      :					Optional[Any]		,						_lowercase      :					T ):




         """simple docstring"""







         if x not in self.key_reference:
                if len(self.dq_store ) == LRUCache._MAX_CAPACITY:
                       UpperCAmelCase__										=     self.dq_store.pop()
                       self.key_reference.remove(_lowercase )
         else:
                self.dq_store.remove(_lowercase )

         self.dq_store.appendleft(_lowercase )
         self.key_reference.add(_lowercase )






  def 			_UpperCAmelCase  (					self      :					Dict ):




         """simple docstring"""







         for k in self.dq_store:
                print(_lowercase )






  def __repr__(					self      :					int ):




         """simple docstring"""







         return F"""LRUCache({self._MAX_CAPACITY}) => {list(self.dq_store )}"""


if __name__ == "__main__":
    import doctest

    doctest.testmod()

    A      = LRUCache(4)
    lru_cache.refer("A")
    lru_cache.refer(2)
    lru_cache.refer(3)
    lru_cache.refer("A")
    lru_cache.refer(4)
    lru_cache.refer(5)
    lru_cache.display()

    print(lru_cache)
    assert str(lru_cache) == "LRUCache(4) => [5, 4, 'A', 3]"









from __future__ import annotations





def __UpperCAmelCase       (		__A			)						->					list[int]:



       '''simple docstring'''





       UpperCAmelCase__										=     [True] * limit
       UpperCAmelCase__										=     False
       UpperCAmelCase__										=     False
       UpperCAmelCase__										=     True

       for i in range(3 ,						int(limit**0.5 + 1			) ,						2			):
              UpperCAmelCase__										=     i * 2
              while index < limit:
                     UpperCAmelCase__										=     False
                     UpperCAmelCase__										=     index + i

       UpperCAmelCase__										=     [2]

       for i in range(3 ,						__A ,						2			):
              if is_prime[i]:
                     primes.append(__A			)

       return primes





def __UpperCAmelCase       (		__A = 1_0_0_0_0_0_0			)						->					int:



       '''simple docstring'''





       UpperCAmelCase__										=     prime_sieve(__A			)
       UpperCAmelCase__										=     0
       UpperCAmelCase__										=     0

       for i in range(len(__A			)			):
              for j in range(i + length ,						len(__A			)			):
                     UpperCAmelCase__										=     sum(primes[i:j]			)
                     if sol >= ceiling:
                            break

                     if sol in primes:
                            UpperCAmelCase__										=     j - i
                            UpperCAmelCase__										=     sol

       return largest


if __name__ == "__main__":
    print(f"{solution() = }")





