


"""simple docstring"""
from __future__ import annotations

from functools import lru_cache
from math import ceil

__SCREAMING_SNAKE_CASE							:      List[str]						=      100

__SCREAMING_SNAKE_CASE							:      Union[str, Any]						=      set(range(3, NUM_PRIMES, 2))
primes.add(2)
__SCREAMING_SNAKE_CASE							:      int

for prime in range(3, ceil(NUM_PRIMES**0.5), 2):
				if prime not in primes:
								continue
				primes.difference_update(set(range(prime * prime, NUM_PRIMES, prime)))







@lru_cache(maxsize=100			)
def   _a			( _SCREAMING_SNAKE_CASE			)      ->			set[int]:
							if number_to_partition < 0:
														return set()
							elif number_to_partition == 0:
														return {1}

							snake_case_          =						set()
							snake_case_          =						42
							snake_case_          =						42

							for prime in primes:
														if prime > number_to_partition:
																					continue
														for sub in partition(number_to_partition - prime			):
																					ret.add(sub * prime			)

							return ret







def   _a			( _SCREAMING_SNAKE_CASE = 5_000			)      ->			int | None:
							for number_to_partition in range(1			,	_SCREAMING_SNAKE_CASE			):
														if len(partition(_SCREAMING_SNAKE_CASE			)			) > number_unique_partitions:
																					return number_to_partition
							return None


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,
)



