



import numpy as np
from numpy import floataa
from numpy.typing import NDArray






def 						_lowerCAmelCase    (					__lowerCamelCase :  NDArray[floataa]		,						__lowerCamelCase :  NDArray[floataa]  ):



 """simple docstring"""





 __SCREAMING_SNAKE_CASE,		__SCREAMING_SNAKE_CASE							:     Optional[Any]							=						np.shape(__lowerCamelCase  )

 __SCREAMING_SNAKE_CASE							:     NDArray[floataa]							=						np.zeros((rows, 1)		,						dtype=__lowerCamelCase  )
 for row in reversed(range(__lowerCamelCase  )  ):
  __SCREAMING_SNAKE_CASE							:     str							=						0
  for col in range(row + 1		,						__lowerCamelCase  ):
   total += coefficients[row, col] * x[col]

  __SCREAMING_SNAKE_CASE							:     int							=						(vector[row] - total) / coefficients[row, row]

 return x






def 						_lowerCAmelCase    (					__lowerCamelCase :  NDArray[floataa]		,						__lowerCamelCase :  NDArray[floataa]  ):



 """simple docstring"""





 __SCREAMING_SNAKE_CASE,		__SCREAMING_SNAKE_CASE							:     List[Any]							=						np.shape(__lowerCamelCase  )
 if rows != columns:
  return np.array(()		,						dtype=__lowerCamelCase  )

 # augmented matrix
 __SCREAMING_SNAKE_CASE							:     NDArray[floataa]							=						np.concatenate((coefficients, vector)		,						axis=1  )
 __SCREAMING_SNAKE_CASE							:     Optional[Any]							=						augmented_mat.astype("float64"  )

 # scale the matrix leaving it triangular
 for row in range(rows - 1  ):
  __SCREAMING_SNAKE_CASE							:     Tuple							=						augmented_mat[row, row]
  for col in range(row + 1		,						__lowerCamelCase  ):
   __SCREAMING_SNAKE_CASE							:     Any							=						augmented_mat[col, row] / pivot
   augmented_mat[col, :] -= factor * augmented_mat[row, :]

 __SCREAMING_SNAKE_CASE							:     Union[str, Any]							=						retroactive_resolution(
     augmented_mat[:, 0:columns]		,						augmented_mat[:, columns : columns + 1]  )

 return x


if __name__ == "__main__":
      import doctest

      doctest.testmod()














from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_sentencepiece_available, is_tokenizers_available


lowerCamelCase					    =	{}

try:
   if not is_sentencepiece_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   lowerCamelCase					    =	['''MBart50Tokenizer''']

try:
   if not is_tokenizers_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   lowerCamelCase					    =	['''MBart50TokenizerFast''']


if TYPE_CHECKING:
   try:
      if not is_sentencepiece_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .tokenization_mbartaa import MBartaaTokenizer

   try:
      if not is_tokenizers_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .tokenization_mbartaa_fast import MBartaaTokenizerFast

else:
   import sys

   lowerCamelCase					    =	_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)
