




'''simple docstring'''


# limitations under the License.

# 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 .pipelines import DiffusionPipeline, ImagePipelineOutput  # noqa: F401
from .utils import deprecate


deprecate(
    """pipelines_utils""",
    """0.22.0""",
    """Importing `DiffusionPipeline` or `ImagePipelineOutput` from diffusers.pipeline_utils is deprecated. Please import from diffusers.pipelines.pipeline_utils instead.""",
    standard_warn=False,
    stacklevel=3,
)







'''simple docstring'''


from math import isqrt, loga
def 						lowerCamelCase__   (				a							):
						__snake_case						 =   [True] * max_number
						for i in range(2    ,	isqrt(max_number - 1							) + 1							):
												if is_prime[i]:
																		for j in range(i**2    ,	a    ,	a							):
																								__snake_case						 =   False

						return [i for i in range(2    ,	a							) if is_prime[i]]
def 						lowerCamelCase__   (				a = 800800    ,	a = 800800							):
						__snake_case						 =   degree * loga(a							)
						__snake_case						 =   int(a							)
						__snake_case						 =   calculate_prime_numbers(a							)

						__snake_case						 =   0
						__snake_case						 =   0
						__snake_case						 =   len(a							) - 1
						while left < right:
												while (
												    prime_numbers[right] * loga(prime_numbers[left]							)
												    + prime_numbers[left] * loga(prime_numbers[right]							)
												    > upper_bound
												):
																		right -= 1
												hybrid_integers_count += right - left
												left += 1

						return hybrid_integers_count


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

