


"""simple docstring"""






from __future__ import annotations

from typing import Any




def        A_					(					*UpperCAmelCase__				)     ->     Optional[int]:
   if all(_check_not_integer(UpperCAmelCase__				) for m in matrix_s				):
      for i in matrix_s[1:]:
         _verify_matrix_sizes(matrix_s[0]       ,   UpperCAmelCase__				)
      return [[sum(UpperCAmelCase__				) for t in zip(*UpperCAmelCase__				)] for m in zip(*UpperCAmelCase__				)]
   raise TypeError('Expected a matrix, got int/list instead'				)




def        A_					(					UpperCAmelCase__       ,   UpperCAmelCase__				)     ->     Optional[int]:
   if (
       _check_not_integer(UpperCAmelCase__				)
       and _check_not_integer(UpperCAmelCase__				)
       and _verify_matrix_sizes(UpperCAmelCase__       ,   UpperCAmelCase__				)
   ):
      return [[i - j for i, j in zip(*UpperCAmelCase__				)] for m in zip(UpperCAmelCase__       ,   UpperCAmelCase__				)]
   raise TypeError('Expected a matrix, got int/list instead'				)




def        A_					(					UpperCAmelCase__       ,   UpperCAmelCase__				)     ->     List[str]:
   return [[x * n for x in row] for row in matrix]




def        A_					(					UpperCAmelCase__       ,   UpperCAmelCase__				)     ->     Any:
   if _check_not_integer(UpperCAmelCase__				) and _check_not_integer(UpperCAmelCase__				):
      a   :	Dict						=    _verify_matrix_sizes(UpperCAmelCase__       ,   UpperCAmelCase__				)

   if cols[0] != rows[1]:
      a   :	str						=    (
          'Cannot multiply matrix of dimensions '
          F'({rows[0]},{cols[0]}) and ({rows[1]},{cols[1]})'
      )
      raise ValueError(UpperCAmelCase__				)
   return [
       [sum(m * n for m, n in zip(UpperCAmelCase__       ,   UpperCAmelCase__				)				) for j in zip(*UpperCAmelCase__				)] for i in matrix_a
   ]




def        A_					(					UpperCAmelCase__				)     ->     Union[str, Any]:
   a   :	Dict						=    int(UpperCAmelCase__				)
   return [[int(row == column				) for column in range(UpperCAmelCase__				)] for row in range(UpperCAmelCase__				)]




def        A_					(					UpperCAmelCase__       ,   UpperCAmelCase__ = True				)     ->     Any:
   if _check_not_integer(UpperCAmelCase__				):
      if return_map:
         return map(UpperCAmelCase__       ,   zip(*UpperCAmelCase__				)				)
      else:
         return list(map(UpperCAmelCase__       ,   zip(*UpperCAmelCase__				)				)				)
   raise TypeError('Expected a matrix, got int/list instead'				)




def        A_					(					UpperCAmelCase__       ,   UpperCAmelCase__       ,   UpperCAmelCase__				)     ->     Optional[int]:
   a   :	Any						=    matrix[:row] + matrix[row + 1 :]
   return [row[:column] + row[column + 1 :] for row in minor]




def        A_					(					UpperCAmelCase__				)     ->     Optional[int]:
   if len(UpperCAmelCase__				) == 1:
      return matrix[0][0]

   return sum(
       x * determinant(minor(UpperCAmelCase__       ,   0       ,   UpperCAmelCase__				)				) * (-1) ** i
       for i, x in enumerate(matrix[0]				)				)




def        A_					(					UpperCAmelCase__				)     ->     Tuple:
   a   :	int						=    determinant(UpperCAmelCase__				)
   if det == 0:
      return None

   a   :	int						=    [
       [determinant(minor(UpperCAmelCase__       ,   UpperCAmelCase__       ,   UpperCAmelCase__				)				) for j in range(len(UpperCAmelCase__				)				)]
       for i in range(len(UpperCAmelCase__				)				)
   ]

   a   :	Optional[Any]						=    [
       [x * (-1) ** (row + col) for col, x in enumerate(matrix_minor[row]				)]
       for row in range(len(UpperCAmelCase__				)				)
   ]
   a   :	int						=    list(transpose(UpperCAmelCase__				)				)
   return scalar_multiply(UpperCAmelCase__       ,   1 / det				)




def        A_					(					UpperCAmelCase__				)     ->     Tuple:
   return not isinstance(UpperCAmelCase__       ,   UpperCAmelCase__				) and not isinstance(matrix[0]       ,   UpperCAmelCase__				)




def        A_					(					UpperCAmelCase__				)     ->     Optional[int]:
   return len(UpperCAmelCase__				), len(matrix[0]				)




def        A_					(					UpperCAmelCase__       ,   UpperCAmelCase__				)     ->     str:
   a   :	Tuple						=    _shape(UpperCAmelCase__				) + _shape(UpperCAmelCase__				)
   if shape[0] != shape[3] or shape[1] != shape[2]:
      a   :	Union[str, Any]						=    (
          'operands could not be broadcast together with shape '
          F'({shape[0], shape[1]}), ({shape[2], shape[3]})'
      )
      raise ValueError(UpperCAmelCase__				)
   return (shape[0], shape[2]), (shape[1], shape[3])




def        A_					(					)     ->     str:
   a   :	Union[str, Any]						=    [[12, 10], [3, 9]]
   a   :	Dict						=    [[3, 4], [7, 4]]
   a   :	str						=    [[11, 12, 13, 14], [21, 22, 23, 24], [31, 32, 33, 34], [41, 42, 43, 44]]
   a   :	Any						=    [[3, 0, 2], [2, 0, -2], [0, 1, 1]]
   print(F'Add Operation, {add(UpperCAmelCase__       ,   UpperCAmelCase__				) = } \n'				)
   print(
       F'Multiply Operation, {multiply(UpperCAmelCase__       ,   UpperCAmelCase__				) = } \n'       ,   )
   print(F'Identity: {identity(5				)}\n'				)
   print(F'Minor of {matrix_c} = {minor(UpperCAmelCase__       ,   1       ,   2				)} \n'				)
   print(F'Determinant of {matrix_b} = {determinant(UpperCAmelCase__				)} \n'				)
   print(F'Inverse of {matrix_d} = {inverse(UpperCAmelCase__				)}\n'				)


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 main()










'''simple docstring'''







from typing import TYPE_CHECKING

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


SCREAMING_SNAKE_CASE__     : int				=   {"""configuration_bert_generation""": ["""BertGenerationConfig"""]}

try:
							if not is_sentencepiece_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							SCREAMING_SNAKE_CASE__     : List[Any]				=   ["""BertGenerationTokenizer"""]

try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							SCREAMING_SNAKE_CASE__     : Optional[Any]				=   [
							    """BertGenerationDecoder""",
							    """BertGenerationEncoder""",
							    """BertGenerationPreTrainedModel""",
							    """load_tf_weights_in_bert_generation""",
							]


if TYPE_CHECKING:
							from .configuration_bert_generation import BertGenerationConfig

							try:
														if not is_sentencepiece_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .tokenization_bert_generation import BertGenerationTokenizer

							try:
														if not is_torch_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_bert_generation import (
														    BertGenerationDecoder,
														    BertGenerationEncoder,
														    BertGenerationPreTrainedModel,
														    load_tf_weights_in_bert_generation,
														)

else:
							import sys

							SCREAMING_SNAKE_CASE__     : Any				=   _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)
