
"""simple docstring"""




from __future__ import annotations

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

a		:       str     						=       TypeVar('T')







class     lowercase(Generic[T]       ):
     __snake_case:	deque[T]  # Cache store of keys
     __snake_case:	set[T]  # References of the keys in cache
     __snake_case:	int						=     10  # Maximum capacity of cache



     def __init__(							self     ,				__SCREAMING_SNAKE_CASE   )		->     None:







         """simple docstring"""



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



     def 			lowercase__  (							self     ,				__SCREAMING_SNAKE_CASE   )		->     None:







         """simple docstring"""



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

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



     def 			lowercase__  (							self   )		->     None:







         """simple docstring"""



         for k in self.dq_store:
             print(__SCREAMING_SNAKE_CASE   )




     def __repr__(							self   )		->     str:







         """simple docstring"""



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


if __name__ == "__main__":
    import doctest

    doctest.testmod()

    a		:       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]"




"""simple docstring"""




def     __magic_name__		(					UpperCamelCase     :		float							,		UpperCamelCase     :		float							,		UpperCamelCase     :		float							,		UpperCamelCase     :		float							,		UpperCamelCase     :		float							,		)     ->						float:
    a__		=			[redshift, radiation_density, matter_density, dark_energy]
    if any(p < 0 for p in parameters     ):
        raise ValueError('All input parameters must be positive'     )

    if any(p > 1 for p in parameters[1:4]     ):
        raise ValueError('Relative densities cannot be greater than one'     )
    else:
        a__		=			1 - (matter_density + radiation_density + dark_energy)

        a__		=			(
            radiation_density * (redshift + 1) ** 4
            + matter_density * (redshift + 1) ** 3
            + curvature * (redshift + 1) ** 2
            + dark_energy
        )

        a__		=			hubble_constant * e_a ** (1 / 2)
        return hubble


if __name__ == "__main__":
    import doctest

    # run doctest
    doctest.testmod()

    # demo LCDM approximation
    a		:       Any     						=       0.3

    print(
        hubble_parameter(
            hubble_constant=68.3,
            radiation_density=1e-4,
            matter_density=matter_density,
            dark_energy=1 - matter_density,
            redshift=0,
        )
    )


