
from operator import delitem, getitem, setitem

import pytest

from data_structures.hashing.hash_map import HashMap
def 							SCREAMING_SNAKE_CASE_	(					UpperCAmelCase_	:     Dict				)			->						Tuple:
       return getitem, k
def 							SCREAMING_SNAKE_CASE_	(					UpperCAmelCase_	:     Tuple			,							UpperCAmelCase_	:     List[Any]				)			->						Tuple:
       return setitem, k, v
def 							SCREAMING_SNAKE_CASE_	(					UpperCAmelCase_	:     Tuple				)			->						Union[str, Any]:
       return delitem, k
def 							SCREAMING_SNAKE_CASE_	(					UpperCAmelCase_	:     Optional[Any]			,							UpperCAmelCase_	:     List[str]			,							*UpperCAmelCase_	:     Tuple				)			->						Tuple:
       try:
              return fun(UpperCAmelCase_			,							*UpperCAmelCase_				), None
       except Exception as e:
              return None, e


_lowercase											=    (
    _set("""key_a""", """val_a"""),
    _set("""key_b""", """val_b"""),
)

_lowercase											=    [
    _set("""key_a""", """val_a"""),
    _set("""key_a""", """val_b"""),
]

_lowercase											=    [
    _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											=    [
    _get("""key_a"""),
    _del("""key_a"""),
    _set("""key_a""", """val_a"""),
    _del("""key_a"""),
    _del("""key_a"""),
    _get("""key_a"""),
]

_lowercase											=    [
    *[_set(x, x) for x in range(5)],  # guaranteed upsize
]

_lowercase											=    [
    *[_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 							SCREAMING_SNAKE_CASE_	(					UpperCAmelCase_	:     str				)			->						Union[str, Any]:
       SCREAMING_SNAKE_CASE_							:				Tuple		=HashMap(initial_block_size=4				)
       SCREAMING_SNAKE_CASE_							:				int		={}
       for _, (fun, *args) in enumerate(UpperCAmelCase_				):
              SCREAMING_SNAKE_CASE_	,     SCREAMING_SNAKE_CASE_							:				Union[str, Any]		=_run_operation(UpperCAmelCase_			,							UpperCAmelCase_			,							*UpperCAmelCase_				)
              SCREAMING_SNAKE_CASE_	,     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 							SCREAMING_SNAKE_CASE_	(					)			->						Optional[Any]:
       def is_public(UpperCAmelCase_	:     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() = }")
