




def 	_a      (						SCREAMING_SNAKE_CASE_							:				list[int]      ,      SCREAMING_SNAKE_CASE_							:				list[int]     ):

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

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










import pytest

from datasets import inspect_metric, list_metrics, load_metric







@pytest.fixture
def 	_a      (						SCREAMING_SNAKE_CASE_							:				Optional[Any]     ):
					monkeypatch.setattr("datasets.utils.deprecation_utils._emitted_deprecation_warnings"      ,      set()     )







@pytest.fixture
def 	_a      (						SCREAMING_SNAKE_CASE_							:				List[Any]     ):
					class 			a__    :






											def __init__(   self		,			_A			):




																"""simple docstring"""



																__lowerCAmelCase				   =       metric_id






					class 			a__    :
											_a							:    Optional[int]					=    [MetricMock(snake_case__      ) for metric_id in ["""accuracy""", """mse""", """precision""", """codeparrot/apps_metric"""]]






											def 				__SCREAMING_SNAKE_CASE(   self			):




																"""simple docstring"""



																return self._metrics






					monkeypatch.setattr("datasets.inspect.huggingface_hub"      ,      HfhMock()     )







@pytest.mark.parametrize(
    "func, args"      ,      [(load_metric, ("metrics/mse",)), (list_metrics, ()), (inspect_metric, ("metrics/mse", "tmp_path"))]     )
def 	_a      (						SCREAMING_SNAKE_CASE_							:				Tuple      ,      SCREAMING_SNAKE_CASE_							:				List[str]      ,      SCREAMING_SNAKE_CASE_							:				int      ,      SCREAMING_SNAKE_CASE_							:				Optional[int]      ,      SCREAMING_SNAKE_CASE_							:				Optional[int]     ):
					if "tmp_path" in args:
										__lowerCAmelCase				   =       tuple(arg if arg != "tmp_path" else tmp_path for arg in args     )
					with pytest.warns(SCREAMING_SNAKE_CASE_      ,      match="https://huggingface.co/docs/evaluate"     ):
										func(*SCREAMING_SNAKE_CASE_     )




