



"""simple docstring"""





import logging
from dataclasses import dataclass, field
from typing import Optional

from seqaseq_trainer import arg_to_scheduler

from transformers import TrainingArguments


lowerCamelCase  			=		logging.getLogger(__name__)
@dataclass
class  lowercase__  (       SCREAMING_SNAKE_CASE ):







       '''simple docstring'''


       UpperCamelCase		=	field(
           default=0.0							,   metadata={'''help''': '''The label smoothing epsilon to apply (if not zero).'''} )
       UpperCamelCase		=	field(default=SCREAMING_SNAKE_CASE							,   metadata={'''help''': '''Whether to SortishSamler or not.'''} )
       UpperCamelCase		=	field(
           default=SCREAMING_SNAKE_CASE							,   metadata={'''help''': '''Whether to use generate to calculate generative metrics (ROUGE, BLEU).'''} )
       UpperCamelCase		=	field(default=SCREAMING_SNAKE_CASE							,   metadata={'''help''': '''whether to use adafactor'''} )
       UpperCamelCase		=	field(
           default=SCREAMING_SNAKE_CASE							,   metadata={'''help''': '''Encoder layer dropout probability. Goes into model.config.'''} )
       UpperCamelCase		=	field(
           default=SCREAMING_SNAKE_CASE							,   metadata={'''help''': '''Decoder layer dropout probability. Goes into model.config.'''} )
       UpperCamelCase		=	field(default=SCREAMING_SNAKE_CASE							,   metadata={'''help''': '''Dropout probability. Goes into model.config.'''} )
       UpperCamelCase		=	field(
           default=SCREAMING_SNAKE_CASE							,   metadata={'''help''': '''Attention dropout probability. Goes into model.config.'''} )
       UpperCamelCase		=	field(
           default='''linear'''							,   metadata={'''help''': F"Which lr scheduler to use. Selected in {sorted(arg_to_scheduler.keys() )}"}							,   )












'''simple docstring'''

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





      """simple docstring"""

      if not len(a_						) == len(a_						) == 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_					: Optional[int]            =				equationa
      UpperCamelCase_     ,      UpperCamelCase_     ,      UpperCamelCase_					: List[str]            =				equationa

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






