



from __future__ import annotations

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

__snake_case    :		Optional[int]  =TypeVar('T')



class 	lowerCamelCase__      (							Generic[T]):




		'''simple docstring'''



		snake_case_     =42  # Cache store of keys
		snake_case_     =42  # References of the keys in cache
		snake_case_     =10  # Maximum capacity of cache



		def __init__(self		,__lowerCamelCase			)					->      None:

						"""simple docstring"""






						lowerCAmelCase__					:    List[str]												=					deque()
						lowerCAmelCase__					:    Tuple												=					set()
						if not n:
										lowerCAmelCase__					:    Tuple												=					sys.maxsize
						elif n < 0:
										raise ValueError('''n should be an integer greater than 0.'''			)
						else:
										lowerCAmelCase__					:    Dict												=					n



		def 		lowerCAmelCase__				(self		,__lowerCamelCase			)					->      None:

						"""simple docstring"""






						if x not in self.key_reference:
										if len(self.dq_store			) == LRUCache._MAX_CAPACITY:
														lowerCAmelCase__					:    Tuple												=					self.dq_store.pop()
														self.key_reference.remove(__lowerCamelCase			)
						else:
										self.dq_store.remove(__lowerCamelCase			)

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



		def 		lowerCAmelCase__				(self			)					->      None:

						"""simple docstring"""






						for k in self.dq_store:
										print(__lowerCamelCase			)



		def __repr__(self			)					->      str:

						"""simple docstring"""






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


if __name__ == "__main__":
							import doctest

							doctest.testmod()

							__snake_case    :		LRUCache[str | int]  =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]"






def      lowerCAmelCase__		(   lowerCamelCase_		:		int = 1000000):





				'''simple docstring'''

				lowerCAmelCase__					:    int												=					set(range(3	,lowerCamelCase_	,2))
				primes.add(2)
				for p in range(3	,lowerCamelCase_	,2):
								if p not in primes:
												continue
								primes.difference_update(set(range(p * p	,lowerCamelCase_	,lowerCamelCase_)))

				lowerCAmelCase__					:    int												=					[float(lowerCamelCase_) for n in range(limit + 1)]

				for p in primes:
								for n in range(lowerCamelCase_	,limit + 1	,lowerCamelCase_):
												phi[n] *= 1 - 1 / p

				return int(sum(phi[2:]))


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

