from operator import delitem, getitem, setitem

import pytest

from data_structures.hashing.hash_map import HashMap







def       A__   (						snake_case_			:		Dict   ):
 return getitem, k







def       A__   (						snake_case_			:		Tuple							,					snake_case_			:		List[Any]   ):
 return setitem, k, v







def       A__   (						snake_case_			:		Tuple   ):
 return delitem, k







def       A__   (						snake_case_			:		Optional[Any]							,					snake_case_			:		List[str]							,					*snake_case_			:		Tuple   ):
 try:
  return fun(UpperCAmelCase_							,					*UpperCAmelCase_   ), None
 except Exception as e:
  return None, e


lowercase_  : str								=					(
    _set('key_a', 'val_a'),
    _set('key_b', 'val_b'),
)

lowercase_  : List[str]								=					[
    _set('key_a', 'val_a'),
    _set('key_a', 'val_b'),
]

lowercase_  : int								=					[
    _set('key_a', 'val_a'),
    _set('key_b', 'val_b'),
    _del('key_a'),
    _del('key_b'),
    _set('key_a', 'val_a'),
    _del('key_a'),
]

lowercase_  : Any								=					[
    _get('key_a'),
    _del('key_a'),
    _set('key_a', 'val_a'),
    _del('key_a'),
    _del('key_a'),
    _get('key_a'),
]

lowercase_  : Optional[int]								=					[
    *[_set(x, x) for x in range(5)],  # guaranteed upsize
]

lowercase_  : Optional[Any]								=					[
    *[_set(x, x) for x in range(5)],  # guaranteed upsize
    *[_del(x) for x in range(5)],
    _set('key_a', 'val_b'),
]







@pytest.mark.parametrize(
    '''operations'''							,					(
        pytest.param(_add_items							,					id='''add items'''   ),
        pytest.param(_overwrite_items							,					id='''overwrite items'''   ),
        pytest.param(_delete_items							,					id='''delete items'''   ),
        pytest.param(_access_absent_items							,					id='''access absent items'''   ),
        pytest.param(_add_with_resize_up							,					id='''add with resize up'''   ),
        pytest.param(_add_with_resize_down							,					id='''add with resize down'''   ),
    )							,					)
def       A__   (						snake_case_			:		str   ):
 SCREAMING_SNAKE_CASE__: Tuple=   HashMap(initial_block_size=4   )
 SCREAMING_SNAKE_CASE__: int=   {}
 for _, (fun, *args) in enumerate(UpperCAmelCase_   ):
  SCREAMING_SNAKE_CASE__: Union[str, Any]=   _run_operation(UpperCAmelCase_							,					UpperCAmelCase_							,					*UpperCAmelCase_   )
  SCREAMING_SNAKE_CASE__: List[Any]=   _run_operation(UpperCAmelCase_							,					UpperCAmelCase_							,					*UpperCAmelCase_   )
  assert my_res == py_res
  assert str(UpperCAmelCase_   ) == str(UpperCAmelCase_   )
  assert set(UpperCAmelCase_   ) == set(UpperCAmelCase_   )
  assert len(UpperCAmelCase_   ) == len(UpperCAmelCase_   )
  assert set(my.items()   ) == set(py.items()   )







def       A__   (						):
 def is_public(snake_case_			:		str   ) -> bool:
  return not name.startswith('''_'''   )

 SCREAMING_SNAKE_CASE__: Dict=   {name for name in dir({}   ) if is_public(UpperCAmelCase_   )}
 SCREAMING_SNAKE_CASE__: Optional[int]=   {name for name in dir(HashMap()   ) if is_public(UpperCAmelCase_   )}

 assert dict_public_names > hash_public_names



from math import ceil, sqrt
def 							SCREAMING_SNAKE_CASE_	(					UpperCAmelCase_	:     int = 1_0_0_0_0_0_0				)			->						int:
       SCREAMING_SNAKE_CASE_							:				List[Any]		=0

       for outer_width in range(3			,							(limit // 4) + 2				):
              if outer_width**2 > limit:
                     SCREAMING_SNAKE_CASE_							:				List[str]		=max(ceil(sqrt(outer_width**2 - limit				)				)			,							1				)
              else:
                     SCREAMING_SNAKE_CASE_							:				List[str]		=1
              if (outer_width - hole_width_lower_bound) % 2:
                     hole_width_lower_bound += 1

              answer += (outer_width - hole_width_lower_bound - 2) // 2 + 1

       return answer


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