



from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_flax_available,
    is_tf_available,
    is_torch_available,
)


SCREAMING_SNAKE_CASE_:Tuple             =						{"""configuration_unispeech""": ["""UNISPEECH_PRETRAINED_CONFIG_ARCHIVE_MAP""", """UniSpeechConfig"""]}

try:
     if not is_torch_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     SCREAMING_SNAKE_CASE_:List[Any]             =						[
         """UNISPEECH_PRETRAINED_MODEL_ARCHIVE_LIST""",
         """UniSpeechForCTC""",
         """UniSpeechForPreTraining""",
         """UniSpeechForSequenceClassification""",
         """UniSpeechModel""",
         """UniSpeechPreTrainedModel""",
     ]

if TYPE_CHECKING:
     from .configuration_unispeech import UNISPEECH_PRETRAINED_CONFIG_ARCHIVE_MAP, UniSpeechConfig

     try:
          if not is_torch_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_unispeech import (
              UNISPEECH_PRETRAINED_MODEL_ARCHIVE_LIST,
              UniSpeechForCTC,
              UniSpeechForPreTraining,
              UniSpeechForSequenceClassification,
              UniSpeechModel,
              UniSpeechPreTrainedModel,
          )

else:
     import sys

     SCREAMING_SNAKE_CASE_:List[str]             =						_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)







from __future__ import annotations

from math import ceil, floor, sqrt




def 	__UpperCamelCase	(  _lowerCAmelCase = 200_0000		)       ->  int:



    """simple docstring"""






    A :       list[int]          =   [0]
    A :       int

    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 :       int          =   0
    # the area corresponding to the grid that gives the product closest to target
    A :       int          =   0
    # an estimate of b, using the quadratic formula
    A :       float
    # the largest integer less than b_estimate
    A :       int
    # the largest integer less than b_estimate
    A :       int
    # the triangle number corresponding to b_floor
    A :       int
    # the triangle number corresponding to b_ceil
    A :       int

    for idx_a, triangle_a in enumerate(triangle_numbers[1:]      ,     1		):
        A :       Union[str, Any]          =   (-1 + sqrt(1 + 8 * target / triangle_a		)) / 2
        A :       List[Any]          =   floor(_lowerCAmelCase		)
        A :       Tuple          =   ceil(_lowerCAmelCase		)
        A :       int          =   triangle_numbers[b_floor]
        A :       Dict          =   triangle_numbers[b_ceil]

        if abs(target - triangle_b_first_guess * triangle_a		) < abs(
            target - best_product		):
            A :       Optional[int]          =   triangle_b_first_guess * triangle_a
            A :       Optional[int]          =   idx_a * b_floor

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

    return area


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


