"""simple docstring"""





from __future__ import annotations


class   UpperCAmelCase_			:


      def __init__(     self	,    a							) ->      Dict:
             lowercase__    :	Optional[Any]     					=			TypeError(
                 'Matrices must be formed from a list of zero or more lists containing at '
                 'least one and the same number of values, each of which must be of type '
                 'int or float.'							)
             if len(a							) != 0:
                    lowercase__    :	Optional[int]     					=			len(rows[0]							)
                    if cols == 0:
                           raise error
                    for row in rows:
                           if len(a							) != cols:
                                  raise error
                           for value in row:
                                  if not isinstance(a	,    (int, float)							):
                                         raise error
                    lowercase__    :	Tuple     					=			rows
             else:
                    lowercase__    :	int     					=			[]


      def 	_UpperCAmelCase (     self							) ->      list[list[int]]:
             return [[row[i] for row in self.rows] for i in range(len(self.rows[0]							)							)]


      @property
      def 	_UpperCAmelCase (     self							) ->      int:
             return len(self.rows							)


      @property
      def 	_UpperCAmelCase (     self							) ->      int:
             return len(self.rows[0]							)


      @property
      def 	_UpperCAmelCase (     self							) ->      tuple[int, int]:
             return (self.num_rows, self.num_columns)


      @property
      def 	_UpperCAmelCase (     self							) ->      bool:
             return self.order[0] == self.order[1]


      def 	_UpperCAmelCase (     self							) ->      Matrix:
             lowercase__    :	Any     					=			[
                 [0 if column_num != row_num else 1 for column_num in range(self.num_rows							)]
                 for row_num in range(self.num_rows							)
             ]
             return Matrix(a							)


      def 	_UpperCAmelCase (     self							) ->      int:
             if not self.is_square:
                    return 0
             if self.order == (0, 0):
                    return 1
             if self.order == (1, 1):
                    return int(self.rows[0][0]							)
             if self.order == (2, 2):
                    return int(
                        (self.rows[0][0] * self.rows[1][1])
                        - (self.rows[0][1] * self.rows[1][0])							)
             else:
                    return sum(
                        self.rows[0][column] * self.cofactors().rows[0][column]
                        for column in range(self.num_columns							)							)


      def 	_UpperCAmelCase (     self							) ->      bool:
             return bool(self.determinant()							)


      def 	_UpperCAmelCase (     self	,    a	,    a							) ->      int:
             lowercase__    :	Optional[Any]     					=			[
                 [
                     self.rows[other_row][other_column]
                     for other_column in range(self.num_columns							)
                     if other_column != column
                 ]
                 for other_row in range(self.num_rows							)
                 if other_row != row
             ]
             return Matrix(a							).determinant()


      def 	_UpperCAmelCase (     self	,    a	,    a							) ->      int:
             if (row + column) % 2 == 0:
                    return self.get_minor(a	,    a							)
             return -1 * self.get_minor(a	,    a							)


      def 	_UpperCAmelCase (     self							) ->      Matrix:
             return Matrix(
                 [
                     [self.get_minor(a	,    a							) for column in range(self.num_columns							)]
                     for row in range(self.num_rows							)
                 ]							)


      def 	_UpperCAmelCase (     self							) ->      Matrix:
             return Matrix(
                 [
                     [
                         self.minors().rows[row][column]
                         if (row + column) % 2 == 0
                         else self.minors().rows[row][column] * -1
                         for column in range(self.minors().num_columns							)
                     ]
                     for row in range(self.minors().num_rows							)
                 ]							)


      def 	_UpperCAmelCase (     self							) ->      Matrix:
             lowercase__    :	Optional[int]     					=			[
                 [self.cofactors().rows[column][row] for column in range(self.num_columns							)]
                 for row in range(self.num_rows							)
             ]
             return Matrix(a							)


      def 	_UpperCAmelCase (     self							) ->      Matrix:
             lowercase__    :	List[Any]     					=			self.determinant()
             if not determinant:
                    raise TypeError('Only matrices with a non-zero determinant have an inverse'							)
             return self.adjugate() * (1 / determinant)


      def __repr__(     self							) ->      str:
             return str(self.rows							)


      def __str__(     self							) ->      str:
             if self.num_rows == 0:
                    return "[]"
             if self.num_rows == 1:
                    return "[[" + ". ".join(str(self.rows[0]							)							) + "]]"
             return (
                 "["
                 + "\n ".join(
                     [
                         '[' + '. '.join([str(a							) for value in row]							) + '.]'
                         for row in self.rows
                     ]							)
                 + "]"
             )


      def 	_UpperCAmelCase (     self	,    a	,    a = None							) ->      None:
             lowercase__    :	str     					=			TypeError('Row must be a list containing all ints and/or floats'							)
             if not isinstance(a	,    a							):
                    raise type_error
             for value in row:
                    if not isinstance(a	,    (int, float)							):
                           raise type_error
             if len(a							) != self.num_columns:
                    raise ValueError(
                        'Row must be equal in length to the other rows in the matrix'							)
             if position is None:
                    self.rows.append(a							)
             else:
                    lowercase__    :	int     					=			self.rows[0:position] + [row] + self.rows[position:]


      def 	_UpperCAmelCase (     self	,    a	,    a = None							) ->      None:
             lowercase__    :	Union[str, Any]     					=			TypeError(
                 'Column must be a list containing all ints and/or floats'							)
             if not isinstance(a	,    a							):
                    raise type_error
             for value in column:
                    if not isinstance(a	,    (int, float)							):
                           raise type_error
             if len(a							) != self.num_rows:
                    raise ValueError(
                        'Column must be equal in length to the other columns in the matrix'							)
             if position is None:
                    lowercase__    :	Dict     					=			[self.rows[i] + [column[i]] for i in range(self.num_rows							)]
             else:
                    lowercase__    :	str     					=			[
                        self.rows[i][0:position] + [column[i]] + self.rows[i][position:]
                        for i in range(self.num_rows							)
                    ]


      def __eq__(     self	,    a							) ->      bool:
             if not isinstance(a	,    a							):
                    return NotImplemented
             return self.rows == other.rows


      def __ne__(     self	,    a							) ->      bool:
             return not self == other


      def __neg__(     self							) ->      Matrix:
             return self * -1


      def __add__(     self	,    a							) ->      Matrix:
             if self.order != other.order:
                    raise ValueError('Addition requires matrices of the same order'							)
             return Matrix(
                 [
                     [self.rows[i][j] + other.rows[i][j] for j in range(self.num_columns							)]
                     for i in range(self.num_rows							)
                 ]							)


      def __sub__(     self	,    a							) ->      Matrix:
             if self.order != other.order:
                    raise ValueError('Subtraction requires matrices of the same order'							)
             return Matrix(
                 [
                     [self.rows[i][j] - other.rows[i][j] for j in range(self.num_columns							)]
                     for i in range(self.num_rows							)
                 ]							)


      def __mul__(     self	,    a							) ->      Matrix:
             if isinstance(a	,    (int, float)							):
                    return Matrix(
                        [[int(element * other							) for element in row] for row in self.rows]							)
             elif isinstance(a	,    a							):
                    if self.num_columns != other.num_rows:
                           raise ValueError(
                               'The number of columns in the first matrix must '
                               'be equal to the number of rows in the second'							)
                    return Matrix(
                        [
                            [Matrix.dot_product(a	,    a							) for column in other.columns()]
                            for row in self.rows
                        ]							)
             else:
                    raise TypeError(
                        'A Matrix can only be multiplied by an int, float, or another matrix'							)


      def __pow__(     self	,    a							) ->      Matrix:
             if not isinstance(a	,    a							):
                    raise TypeError('A Matrix can only be raised to the power of an int'							)
             if not self.is_square:
                    raise ValueError('Only square matrices can be raised to a power'							)
             if other == 0:
                    return self.identity()
             if other < 0:
                    if self.is_invertable():
                           return self.inverse() ** (-other)
                    raise ValueError(
                        'Only invertable matrices can be raised to a negative power'							)
             lowercase__    :	Tuple     					=			self
             for _ in range(other - 1							):
                    result *= self
             return result


      @classmethod
      def 	_UpperCAmelCase (     cls	,    a	,    a							) ->      int:
             return sum(row[i] * column[i] for i in range(len(a							)							)							)


if __name__ == "__main__":
       import doctest

       doctest.testmod()


"""simple docstring"""





from .glue import GlueDataset, GlueDataTrainingArguments
from .language_modeling import (
    LineByLineTextDataset,
    LineByLineWithRefDataset,
    LineByLineWithSOPTextDataset,
    TextDataset,
    TextDatasetForNextSentencePrediction,
)
from .squad import SquadDataset, SquadDataTrainingArguments

