





'''simple docstring'''



def 				_lowerCAmelCase  (			lowerCamelCase_     :					int = 1_0_0_0			):
			__lowercase			  =							-1
			__lowercase			  =							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
						__lowercase			  =							(n * n - 2 * a * n) // (2 * n - 2 * a)
						__lowercase			  =							n - a - b
						if c * c == (a * a + b * b):
									__lowercase			  =							a * b * c
									if candidate >= product:
												__lowercase			  =							candidate
			return product


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












'''simple docstring'''



# NOTE: This file is deprecated and will be removed in a future version.
# It only exists so that temporarely `from diffusers.pipelines import DiffusionPipeline` works

from ...utils import deprecate
from ..controlnet.pipeline_flax_controlnet import FlaxStableDiffusionControlNetPipeline  # noqa: F401


deprecate(
    '''stable diffusion controlnet''',
    '''0.22.0''',
    '''Importing `FlaxStableDiffusionControlNetPipeline` from diffusers.pipelines.stable_diffusion.flax_pipeline_stable_diffusion_controlnet is deprecated. Please import `from diffusers import FlaxStableDiffusionControlNetPipeline` instead.''',
    standard_warn=False,
    stacklevel=3,
)





