





from ..utils import (
    OptionalDependencyNotAvailable,
    is_flax_available,
    is_scipy_available,
    is_torch_available,
    is_torchsde_available,
)


try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from ..utils.dummy_pt_objects import *  # noqa F403
else:
							from .scheduling_consistency_models import CMStochasticIterativeScheduler
							from .scheduling_ddim import DDIMScheduler
							from .scheduling_ddim_inverse import DDIMInverseScheduler
							from .scheduling_ddim_parallel import DDIMParallelScheduler
							from .scheduling_ddpm import DDPMScheduler
							from .scheduling_ddpm_parallel import DDPMParallelScheduler
							from .scheduling_deis_multistep import DEISMultistepScheduler
							from .scheduling_dpmsolver_multistep import DPMSolverMultistepScheduler
							from .scheduling_dpmsolver_multistep_inverse import DPMSolverMultistepInverseScheduler
							from .scheduling_dpmsolver_singlestep import DPMSolverSinglestepScheduler
							from .scheduling_euler_ancestral_discrete import EulerAncestralDiscreteScheduler
							from .scheduling_euler_discrete import EulerDiscreteScheduler
							from .scheduling_heun_discrete import HeunDiscreteScheduler
							from .scheduling_ipndm import IPNDMScheduler
							from .scheduling_k_dpm_2_ancestral_discrete import KDPMaAncestralDiscreteScheduler
							from .scheduling_k_dpm_2_discrete import KDPMaDiscreteScheduler
							from .scheduling_karras_ve import KarrasVeScheduler
							from .scheduling_pndm import PNDMScheduler
							from .scheduling_repaint import RePaintScheduler
							from .scheduling_sde_ve import ScoreSdeVeScheduler
							from .scheduling_sde_vp import ScoreSdeVpScheduler
							from .scheduling_unclip import UnCLIPScheduler
							from .scheduling_unipc_multistep import UniPCMultistepScheduler
							from .scheduling_utils import KarrasDiffusionSchedulers, SchedulerMixin
							from .scheduling_vq_diffusion import VQDiffusionScheduler

try:
							if not is_flax_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from ..utils.dummy_flax_objects import *  # noqa F403
else:
							from .scheduling_ddim_flax import FlaxDDIMScheduler
							from .scheduling_ddpm_flax import FlaxDDPMScheduler
							from .scheduling_dpmsolver_multistep_flax import FlaxDPMSolverMultistepScheduler
							from .scheduling_karras_ve_flax import FlaxKarrasVeScheduler
							from .scheduling_lms_discrete_flax import FlaxLMSDiscreteScheduler
							from .scheduling_pndm_flax import FlaxPNDMScheduler
							from .scheduling_sde_ve_flax import FlaxScoreSdeVeScheduler
							from .scheduling_utils_flax import (
							    FlaxKarrasDiffusionSchedulers,
							    FlaxSchedulerMixin,
							    FlaxSchedulerOutput,
							    broadcast_to_shape_from_left,
							)


try:
							if not (is_torch_available() and is_scipy_available()):
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from ..utils.dummy_torch_and_scipy_objects import *  # noqa F403
else:
							from .scheduling_lms_discrete import LMSDiscreteScheduler

try:
							if not (is_torch_available() and is_torchsde_available()):
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							from ..utils.dummy_torch_and_torchsde_objects import *  # noqa F403
else:
							from .scheduling_dpmsolver_sde import DPMSolverSDEScheduler



'''simple docstring'''

from math import sqrt

def _SCREAMING_SNAKE_CASE (A = 1_000_000			)			->			int:






       """simple docstring"""







       lowercase__      =					0
       lowercase__      =					0
       lowercase__      =					42

       while num_cuboids <= limit:
              max_cuboid_size += 1
              for sum_shortest_sides in range(2    ,					2 * max_cuboid_size + 1			):
                     if sqrt(sum_shortest_sides**2 + max_cuboid_size**2			).is_integer():
                            num_cuboids += (
                                min(A    ,					sum_shortest_sides // 2			)
                                - max(1    ,					sum_shortest_sides - max_cuboid_size			)
                                + 1
                            )

       return max_cuboid_size


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




