




def 					_a							(					lowerCAmelCase    ,						lowerCAmelCase )->	tuple[float, float]:

		# Check if the input is valid
		if not len(lowerCAmelCase ) == len(lowerCAmelCase ) == 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
		SCREAMING_SNAKE_CASE_      ,				SCREAMING_SNAKE_CASE_      ,				SCREAMING_SNAKE_CASE_					      =							equationa
		SCREAMING_SNAKE_CASE_      ,				SCREAMING_SNAKE_CASE_      ,				SCREAMING_SNAKE_CASE_					      =							equationa

		# Calculate the determinants of the matrices
		SCREAMING_SNAKE_CASE_					      =							aa * ba - aa * ba
		SCREAMING_SNAKE_CASE_					      =							ca * ba - ca * ba
		SCREAMING_SNAKE_CASE_					      =							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:
						SCREAMING_SNAKE_CASE_					      =							determinant_x / determinant
						SCREAMING_SNAKE_CASE_					      =							determinant_y / determinant
						# Non-Trivial Solution (Consistent system)
						return (x, y)





from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


SCREAMING_SNAKE_CASE:     Any									= {
    '''configuration_pegasus_x''': ['''PEGASUS_X_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''PegasusXConfig'''],
}

try:
						if not is_torch_available():
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						pass
else:
						SCREAMING_SNAKE_CASE:     List[Any]									= [
						    '''PEGASUS_X_PRETRAINED_MODEL_ARCHIVE_LIST''',
						    '''PegasusXForConditionalGeneration''',
						    '''PegasusXModel''',
						    '''PegasusXPreTrainedModel''',
						]


if TYPE_CHECKING:
						from .configuration_pegasus_x import PEGASUS_X_PRETRAINED_CONFIG_ARCHIVE_MAP, PegasusXConfig

						try:
												if not is_torch_available():
																		raise OptionalDependencyNotAvailable()
						except OptionalDependencyNotAvailable:
												pass
						else:
												from .modeling_pegasus_x import (
												    PEGASUS_X_PRETRAINED_MODEL_ARCHIVE_LIST,
												    PegasusXForConditionalGeneration,
												    PegasusXModel,
												    PegasusXPreTrainedModel,
												)


else:
						import sys

						SCREAMING_SNAKE_CASE:     List[Any]									= _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)