





from __future__ import annotations

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

lowerCAmelCase_						   =    TypeVar("""T""")



class        _lowerCAmelCase    (			Generic[T]							):


  '''simple docstring'''
  a_							:       deque[T]  # Cache store of keys
  a_							:       set[T]  # References of the keys in cache
  a_							:       int      					=10  # Maximum capacity of cache







  def __init__(      self      :					Optional[Any]      ,				UpperCamelCase      :					int							):


    '''simple docstring'''





    _snake_case   :				Dict														=	deque()
    _snake_case   :				str														=	set()
    if not n:
      _snake_case   :				Dict														=	sys.maxsize
    elif n < 0:
      raise ValueError('n should be an integer greater than 0.'							)
    else:
      _snake_case   :				Any														=	n







  def UpperCamelCase_ (      self      :					Dict      ,				UpperCamelCase      :					T							):


    '''simple docstring'''





    if x not in self.key_reference:
      if len(self.dq_store							) == LRUCache._MAX_CAPACITY:
        _snake_case   :				Dict														=	self.dq_store.pop()
        self.key_reference.remove(UpperCamelCase							)
    else:
      self.dq_store.remove(UpperCamelCase							)

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







  def UpperCamelCase_ (      self      :					str							):


    '''simple docstring'''





    for k in self.dq_store:
      print(UpperCamelCase							)







  def __repr__(      self      :					Dict							):


    '''simple docstring'''





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


if __name__ == "__main__":
      import doctest

      doctest.testmod()

      lowerCAmelCase_						   =    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				)->		list:
  _snake_case   :				List[Any]														=	int(lowerCAmelCase				)
  if n_element < 1:
    _snake_case   :				int														=	ValueError('a should be a positive number'				)
    raise my_error

  _snake_case   :				Union[str, Any]														=	[1]
  _snake_case							,					_snake_case							,					_snake_case   :				Any														=	(0, 0, 0)
  _snake_case   :				str														=	1
  while index < n_element:
    while hamming_list[i] * 2 <= hamming_list[-1]:
      i += 1
    while hamming_list[j] * 3 <= hamming_list[-1]:
      j += 1
    while hamming_list[k] * 5 <= hamming_list[-1]:
      k += 1
    hamming_list.append(
        min(hamming_list[i] * 2    ,							hamming_list[j] * 3    ,							hamming_list[k] * 5				)				)
    index += 1
  return hamming_list


if __name__ == "__main__":
      lowerCAmelCase_						   =    input("""Enter the last number (nth term) of the Hamming Number Series: """)
      print("""Formula of Hamming Number Series => 2^i * 3^j * 5^k""")
      lowerCAmelCase_						   =    hamming(int(n))
      print("""-----------------------------------------------------""")
      print(F"""The list with nth numbers is: {hamming_numbers}""")
      print("""-----------------------------------------------------""")




