


def 	A_ (							snake_case							:   list[int] ,      snake_case							:   list[int] )      ->    tuple[float, float]:



						'''simple docstring'''

						if not len(snake_case ) == len(snake_case ) == 3:
												raise ValueError('''Please enter a valid equation.''' )
						if equationa[0] == equationa[1] == equationa[0] == equationa[1] == 0:
												raise ValueError('''Both a & b of two equations can\'t be zero.''' )

						# Extract the coefficients
						__UpperCamelCase  ,							__UpperCamelCase  ,							__UpperCamelCase       =			equationa
						__UpperCamelCase  ,							__UpperCamelCase  ,							__UpperCamelCase       =			equationa

						# Calculate the determinants of the matrices
						__UpperCamelCase       =			aa * ba - aa * ba
						__UpperCamelCase       =			ca * ba - ca * ba
						__UpperCamelCase       =			aa * ca - aa * ca

						# Check if the system of linear equations has a solution (using Cramer's rule)
						if determinant == 0:
												if determinant_x == determinant_y == 0:
																		raise ValueError('''Infinite solutions. (Consistent system)''' )
												else:
																		raise ValueError('''No solution. (Inconsistent system)''' )
						else:
												if determinant_x == determinant_y == 0:
																		# Trivial solution (Inconsistent system)
																		return (0.0, 0.0)
												else:
																		__UpperCamelCase       =			determinant_x / determinant
																		__UpperCamelCase       =			determinant_y / determinant
																		# Non-Trivial Solution (Consistent system)
																		return (x, y)






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        SCREAMING_SNAKE_CASE__    (							SCREAMING_SNAKE_CASE_   ,		unittest.TestCase    ):

							"""simple docstring"""






							_snake_case     		=  FlaxAutoencoderKL



							@property
							def     A__		(  self			)->   int:





													'''simple docstring'''






													__UpperCamelCase       =			4
													__UpperCamelCase       =			3
													__UpperCamelCase       =			(32, 32)

													__UpperCamelCase       =			jax.random.PRNGKey(0			)
													__UpperCamelCase       =			jax.random.uniform(SCREAMING_SNAKE_CASE_     ,	((batch_size, num_channels) + sizes)			)

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



							def     A__		(  self			)->   List[Any]:





													'''simple docstring'''






													__UpperCamelCase       =			{
													    '''block_out_channels''': [32, 64],
													    '''in_channels''': 3,
													    '''out_channels''': 3,
													    '''down_block_types''': ['''DownEncoderBlock2D''', '''DownEncoderBlock2D'''],
													    '''up_block_types''': ['''UpDecoderBlock2D''', '''UpDecoderBlock2D'''],
													    '''latent_channels''': 4,
													}
													__UpperCamelCase       =			self.dummy_input
													return init_dict, inputs_dict




