



from __future__ import annotations

from math import ceil, floor, sqrt



def 		lowerCAmelCase__     (       UpperCamelCase_					:							int = 2_0_0_0_0_0_0						)->	int:
    A__					=       [0]
    A__					=       42

    for idx in range(1			,							ceil(sqrt(target * 2						) * 1.1						)						):
        triangle_numbers.append(triangle_numbers[-1] + idx						)

    # we want this to be as close as possible to target
    A__					=       0
    # the area corresponding to the grid that gives the product closest to target
    A__					=       0
    # an estimate of b, using the quadratic formula
    A__					=       42
    # the largest integer less than b_estimate
    A__					=       42
    # the largest integer less than b_estimate
    A__					=       42
    # the triangle number corresponding to b_floor
    A__					=       42
    # the triangle number corresponding to b_ceil
    A__					=       42

    for idx_a, triangle_a in enumerate(triangle_numbers[1:]			,							1						):
        A__					=       (-1 + sqrt(1 + 8 * target / triangle_a						)) / 2
        A__					=       floor(UpperCamelCase_						)
        A__					=       ceil(UpperCamelCase_						)
        A__					=       triangle_numbers[b_floor]
        A__					=       triangle_numbers[b_ceil]

        if abs(target - triangle_b_first_guess * triangle_a						) < abs(
            target - best_product						):
            A__					=       triangle_b_first_guess * triangle_a
            A__					=       idx_a * b_floor

        if abs(target - triangle_b_second_guess * triangle_a						) < abs(
            target - best_product						):
            A__					=       triangle_b_second_guess * triangle_a
            A__					=       idx_a * b_ceil

    return area


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





# Lint as: python3
# pylint: enable=line-too-long
# pylint: disable=g-import-not-at-top,g-bad-import-order,wrong-import-position

_lowercase    	=		"2.13.1"

import platform

import pyarrow
from packaging import version


if version.parse(platform.python_version()) < version.parse("3.7"):
   raise ImportWarning(
       "To use `datasets`, Python>=3.7 is required, and the current version of Python doesn't match this condition."
   )

if version.parse(pyarrow.__version__).major < 8:
   raise ImportWarning(
       "To use `datasets`, the module `pyarrow>=8.0.0` is required, and the current version of `pyarrow` doesn't match this condition.\n"
       "If you are running this in a Google Colab, you should probably just restart the runtime to use the right version of `pyarrow`."
   )

del platform
del pyarrow
del version

from .arrow_dataset import Dataset
from .arrow_reader import ReadInstruction
from .builder import ArrowBasedBuilder, BeamBasedBuilder, BuilderConfig, DatasetBuilder, GeneratorBasedBuilder
from .combine import concatenate_datasets, interleave_datasets
from .dataset_dict import DatasetDict, IterableDatasetDict
from .download import *
from .features import *
from .fingerprint import disable_caching, enable_caching, is_caching_enabled, set_caching_enabled
from .info import DatasetInfo, MetricInfo
from .inspect import (
    get_dataset_config_info,
    get_dataset_config_names,
    get_dataset_infos,
    get_dataset_split_names,
    inspect_dataset,
    inspect_metric,
    list_datasets,
    list_metrics,
)
from .iterable_dataset import IterableDataset
from .load import load_dataset, load_dataset_builder, load_from_disk, load_metric
from .metric import Metric
from .splits import (
    NamedSplit,
    NamedSplitAll,
    Split,
    SplitBase,
    SplitDict,
    SplitGenerator,
    SplitInfo,
    SubSplitInfo,
    percent,
)
from .tasks import *
from .utils import *
from .utils import logging


# deprecated modules
from datasets import arrow_dataset as _arrow_dataset  # isort:skip
from datasets import utils as _utils  # isort:skip
from datasets.utils import download_manager as _deprecated_download_manager  # isort:skip

_lowercase    	=		concatenate_datasets
_lowercase    	=		DownloadConfig
_lowercase    	=		DownloadManager
_lowercase    	=		DownloadMode
_lowercase    	=		DownloadConfig
_lowercase    	=		DownloadMode
_lowercase    	=		DownloadManager

del _arrow_dataset, _utils, _deprecated_download_manager
