


from maths.is_square_free import is_square_free
from maths.prime_factors import prime_factors


def 		lowercase_  (     _UpperCamelCase  ):


			'''simple docstring'''







			__lowercase 					=   prime_factors(_UpperCamelCase  )
			if is_square_free(_UpperCamelCase  ):
						return -1 if len(_UpperCamelCase  ) % 2 else 1
			return 0


if __name__ == "__main__":
	import doctest

	doctest.testmod()








import unittest

from diffusers import FlaxAutoencoderKL
from diffusers.utils import is_flax_available
from diffusers.utils.testing_utils import require_flax

from .test_modeling_common_flax import FlaxModelTesterMixin


if is_flax_available():
	import jax
@require_flax
class 	lowerCamelCase_       (				lowerCAmelCase__     ,     unittest.TestCase				):



					'''simple docstring'''







					__UpperCAmelCase            =				FlaxAutoencoderKL






					@property
					def A      (				self						)   ->			Optional[int]:







								'''simple docstring'''

								__lowercase 					=   4
								__lowercase 					=   3
								__lowercase 					=   (3_2, 3_2)

								__lowercase 					=   jax.random.PRNGKey(0						)
								__lowercase 					=   jax.random.uniform(snake_case_ ,       ((batch_size, num_channels) + sizes)						)

								return {"sample": image, "prng_key": prng_key}






					def A      (				self						)   ->			Any:







								'''simple docstring'''

								__lowercase 					=   {
								    '''block_out_channels''': [3_2, 6_4],
								    '''in_channels''': 3,
								    '''out_channels''': 3,
								    '''down_block_types''': ['''DownEncoderBlock2D''', '''DownEncoderBlock2D'''],
								    '''up_block_types''': ['''UpDecoderBlock2D''', '''UpDecoderBlock2D'''],
								    '''latent_channels''': 4,
								}
								__lowercase 					=   self.dummy_input
								return init_dict, inputs_dict


