
import unittest

from transformers import is_torch_available
from transformers.testing_utils import require_sentencepiece, require_tokenizers, require_torch, slow, torch_device


if is_torch_available():
							from transformers import AutoModelForSeqaSeqLM, AutoTokenizer




@require_torch
@require_sentencepiece
@require_tokenizers
class   __lowercase						(						unittest.TestCase       ):






	@slow
	def       _a(self				: int    ) ->			Optional[int]:
							_lowercase       :	int           =   AutoModelForSeqaSeqLM.from_pretrained("google/mt5-small"      ,	return_dict=snake_case    ).to(snake_case    )
							_lowercase       :	List[str]           =   AutoTokenizer.from_pretrained("google/mt5-small"    )

							_lowercase       :	int           =   tokenizer("Hello there"      ,	return_tensors="pt"    ).input_ids
							_lowercase       :	str           =   tokenizer("Hi I am"      ,	return_tensors="pt"    ).input_ids

							_lowercase       :	Dict           =   model(input_ids.to(snake_case    )      ,	labels=labels.to(snake_case    )    ).loss
							_lowercase       :	List[Any]           =   -(labels.shape[-1] * loss.item())

							_lowercase       :	Dict           =   -84.91_27
							self.assertTrue(abs(mtf_score - EXPECTED_SCORE    ) < 1e-4    )






def 		UpperCamelCase     (       _UpperCAmelCase  :   list[int] ,			_UpperCAmelCase  :   list[int]  )   ->			tuple[float, float]:






						'''simple docstring'''

						if not len(_UpperCAmelCase  ) == len(_UpperCAmelCase  ) == 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
						_lowercase      ,    _lowercase      ,    _lowercase       :	List[str]           =   equationa
						_lowercase      ,    _lowercase      ,    _lowercase       :	List[str]           =   equationa

						# Calculate the determinants of the matrices
						_lowercase       :	List[Any]           =   aa * ba - aa * ba
						_lowercase       :	Tuple           =   ca * ba - ca * ba
						_lowercase       :	Union[str, Any]           =   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:
																		_lowercase       :	str           =   determinant_x / determinant
																		_lowercase       :	Union[str, Any]           =   determinant_y / determinant
																		# Non-Trivial Solution (Consistent system)
																		return (x, y)




