




"""simple docstring"""


def 					UpperCAmelCase__       (snake_case__							:					int = 10_00    ):
  """simple docstring"""

  _snake_case							:		Tuple								=  -1
  _snake_case							:		Optional[Any]								=  0
  for a in range(1		,   n // 3    ):
    # Solving the two equations a**2+b**2=c**2 and a+b+c=N eliminating c
    _snake_case							:		str								=  (n * n - 2 * a * n) // (2 * n - 2 * a)
    _snake_case							:		Union[str, Any]								=  n - a - b
    if c * c == (a * a + b * b):
      _snake_case							:		str								=  a * b * c
      if candidate >= product:
        _snake_case							:		int								=  candidate
  return product


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








from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_sentencepiece_available,
    is_tokenizers_available,
    is_torch_available,
    is_vision_available,
)


SCREAMING_SNAKE_CASE__       :      List[Any]  =   {'processing_layoutxlm': ['LayoutXLMProcessor']}

try:
       if not is_sentencepiece_available():
              raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
       pass
else:
       SCREAMING_SNAKE_CASE__       :      Optional[Any]  =   ['LayoutXLMTokenizer']

try:
       if not is_tokenizers_available():
              raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
       pass
else:
       SCREAMING_SNAKE_CASE__       :      Dict  =   ['LayoutXLMTokenizerFast']

if TYPE_CHECKING:
       from .processing_layoutxlm import LayoutXLMProcessor

       try:
              if not is_sentencepiece_available():
                     raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
              pass
       else:
              from .tokenization_layoutxlm import LayoutXLMTokenizer

       try:
              if not is_tokenizers_available():
                     raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
              pass
       else:
              from .tokenization_layoutxlm_fast import LayoutXLMTokenizerFast

else:
       import sys

       SCREAMING_SNAKE_CASE__       :      str  =   _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)






