



import math
from collections.abc import Generator







def       lowerCamelCase_  (    _a       :						int    ):



    '''simple docstring'''




    UpperCAmelCase_     :       Generator  		=					(i for i in range(1   ,		(max_n + 1)    ))
    for i in (n for n in numbers if n > 1):
        for j in range(2   ,		_a    ):
            if (i % j) == 0:
                break
        else:
            yield i







def       lowerCamelCase_  (    _a       :						int    ):



    '''simple docstring'''




    UpperCAmelCase_     :       Generator  		=					(i for i in range(1   ,		(max_n + 1)    ))
    for i in (n for n in numbers if n > 1):
        # only need to check for factors up to sqrt(i)
        UpperCAmelCase_     :       str  		=					int(math.sqrt(_a    )    ) + 1
        for j in range(2   ,		_a    ):
            if (i % j) == 0:
                break
        else:
            yield i







def       lowerCamelCase_  (    _a       :						int    ):



    '''simple docstring'''




    UpperCAmelCase_     :       Generator  		=					(i for i in range(1   ,		(max_n + 1)   ,		2    ))
    # It's useless to test even numbers as they will not be prime
    if max_n > 2:
        yield 2  # Because 2 will not be tested, it's necessary to yield it now
    for i in (n for n in numbers if n > 1):
        UpperCAmelCase_     :       Optional[int]  		=					int(math.sqrt(_a    )    ) + 1
        for j in range(3   ,		_a   ,		2    ):
            # As we removed the even numbers, we don't need them now
            if (i % j) == 0:
                break
        else:
            yield i







def       lowerCamelCase_  (    ):



    '''simple docstring'''




    from timeit import timeit

    UpperCAmelCase_     :       Union[str, Any]  		=					"""from __main__ import slow_primes, primes, fast_primes"""
    print(timeit("""slow_primes(1_000_000_000_000)"""   ,		setup=_a   ,		number=100_0000    )    )
    print(timeit("""primes(1_000_000_000_000)"""   ,		setup=_a   ,		number=100_0000    )    )
    print(timeit("""fast_primes(1_000_000_000_000)"""   ,		setup=_a   ,		number=100_0000    )    )


if __name__ == "__main__":
      UpperCamelCase_									=   int(input('''Calculate primes up to:\n>> ''').strip())
      for ret in primes(number):
            print(ret)
      benchmark()

"""simple docstring"""







from ...utils import (
    OptionalDependencyNotAvailable,
    is_torch_available,
    is_transformers_available,
    is_transformers_version,
)


try:
						if not (is_transformers_available() and is_torch_available() and is_transformers_version(""">=""", """4.27.0""")):
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						from ...utils.dummy_torch_and_transformers_objects import (
						    AudioLDMPipeline,
						)
else:
						from .pipeline_audioldm import AudioLDMPipeline

