





from __future__ import annotations

class 							__SCREAMING_SNAKE_CASE       :






							def __init__(    self	,			__lowerCAmelCase	):
														UpperCamelCase__					  =      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(__lowerCAmelCase	) != 0:
																					UpperCamelCase__					  =      len(rows[0]	)
																					if cols == 0:
																												raise error
																					for row in rows:
																												if len(__lowerCAmelCase	) != cols:
																																			raise error
																												for value in row:
																																			if not isinstance(__lowerCAmelCase	,			(int, float)	):
																																										raise error
																					UpperCamelCase__					  =      rows
														else:
																					UpperCamelCase__					  =      []






							def 					_lowerCamelCase		(    self	):
														return [[row[i] for row in self.rows] for i in range(len(self.rows[0]	)	)]






							@property
							def 					_lowerCamelCase		(    self	):
														return len(self.rows	)






							@property
							def 					_lowerCamelCase		(    self	):
														return len(self.rows[0]	)






							@property
							def 					_lowerCamelCase		(    self	):
														return (self.num_rows, self.num_columns)






							@property
							def 					_lowerCamelCase		(    self	):
														return self.order[0] == self.order[1]






							def 					_lowerCamelCase		(    self	):
														UpperCamelCase__					  =      [
														    [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(__lowerCAmelCase	)






							def 					_lowerCamelCase		(    self	):
														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 					_lowerCamelCase		(    self	):
														return bool(self.determinant()	)






							def 					_lowerCamelCase		(    self	,			__lowerCAmelCase	,			__lowerCAmelCase	):
														UpperCamelCase__					  =      [
														    [
														        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(__lowerCAmelCase	).determinant()






							def 					_lowerCamelCase		(    self	,			__lowerCAmelCase	,			__lowerCAmelCase	):
														if (row + column) % 2 == 0:
																					return self.get_minor(__lowerCAmelCase	,			__lowerCAmelCase	)
														return -1 * self.get_minor(__lowerCAmelCase	,			__lowerCAmelCase	)






							def 					_lowerCamelCase		(    self	):
														return Matrix(
														    [
														        [self.get_minor(__lowerCAmelCase	,			__lowerCAmelCase	) for column in range(self.num_columns	)]
														        for row in range(self.num_rows	)
														    ]	)






							def 					_lowerCamelCase		(    self	):
														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 					_lowerCamelCase		(    self	):
														UpperCamelCase__					  =      [
														    [self.cofactors().rows[column][row] for column in range(self.num_columns	)]
														    for row in range(self.num_rows	)
														]
														return Matrix(__lowerCAmelCase	)






							def 					_lowerCamelCase		(    self	):
														UpperCamelCase__					  =      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	):
														return str(self.rows	)






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






							def 					_lowerCamelCase		(    self	,			__lowerCAmelCase	,			__lowerCAmelCase = None	):
														UpperCamelCase__					  =      TypeError("""Row must be a list containing all ints and/or floats"""	)
														if not isinstance(__lowerCAmelCase	,			__lowerCAmelCase	):
																					raise type_error
														for value in row:
																					if not isinstance(__lowerCAmelCase	,			(int, float)	):
																												raise type_error
														if len(__lowerCAmelCase	) != 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(__lowerCAmelCase	)
														else:
																					UpperCamelCase__					  =      self.rows[0:position] + [row] + self.rows[position:]






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






							def __eq__(    self	,			__lowerCAmelCase	):
														if not isinstance(__lowerCAmelCase	,			__lowerCAmelCase	):
																					return NotImplemented
														return self.rows == other.rows






							def __ne__(    self	,			__lowerCAmelCase	):
														return not self == other






							def __neg__(    self	):
														return self * -1






							def __add__(    self	,			__lowerCAmelCase	):
														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	,			__lowerCAmelCase	):
														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	,			__lowerCAmelCase	):
														if isinstance(__lowerCAmelCase	,			(int, float)	):
																					return Matrix(
																					    [[int(element * other	) for element in row] for row in self.rows]	)
														elif isinstance(__lowerCAmelCase	,			__lowerCAmelCase	):
																					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(__lowerCAmelCase	,			__lowerCAmelCase	) 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	,			__lowerCAmelCase	):
														if not isinstance(__lowerCAmelCase	,			__lowerCAmelCase	):
																					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"""	)
														UpperCamelCase__					  =      self
														for _ in range(other - 1	):
																					result *= self
														return result







							@classmethod
							def 					_lowerCamelCase		(    cls	,			__lowerCAmelCase	,			__lowerCAmelCase	):
														return sum(row[i] * column[i] for i in range(len(__lowerCAmelCase	)	)	)


if __name__ == "__main__":
					import doctest

					doctest.testmod()











import os

import pytest

from transformers.dynamic_module_utils import get_imports


UpperCamelCase__           =			"\nimport os\n"

UpperCamelCase__           =			"\ndef foo():\n    import os\n    return False\n"

UpperCamelCase__           =			"\ndef foo():\n    def bar():\n        if True:\n            import os\n        return False\n    return bar()\n"

UpperCamelCase__           =			"\nimport os\n\ntry:\n    import bar\nexcept ImportError:\n    raise ValueError()\n"

UpperCamelCase__           =			"\nimport os\n\ndef foo():\n    try:\n        import bar\n    except ImportError:\n        raise ValueError()\n"

UpperCamelCase__           =			"\nimport os\n\ntry:\n    import bar\nexcept (ImportError, AttributeError):\n    raise ValueError()\n"

UpperCamelCase__           =			"\nimport os\n\ntry:\n    import bar\nexcept ImportError as e:\n    raise ValueError()\n"

UpperCamelCase__           =			"\nimport os\n\ntry:\n    import bar\nexcept:\n    raise ValueError()\n"

UpperCamelCase__           =			"\nimport os\n\ntry:\n    import bar\n    import baz\nexcept ImportError:\n    raise ValueError()\n"

UpperCamelCase__           =			"\nimport os\n\ntry:\n    import bar\n    import baz\nexcept ImportError:\n    x = 1\n    raise ValueError()\n"

UpperCamelCase__           =			[
    TOP_LEVEL_IMPORT,
    IMPORT_IN_FUNCTION,
    DEEPLY_NESTED_IMPORT,
    TOP_LEVEL_TRY_IMPORT,
    GENERIC_EXCEPT_IMPORT,
    MULTILINE_TRY_IMPORT,
    MULTILINE_BOTH_IMPORT,
    MULTIPLE_EXCEPTS_IMPORT,
    EXCEPT_AS_IMPORT,
    TRY_IMPORT_IN_FUNCTION,
]





@pytest.mark.parametrize("""case""" ,      a__							)
def      _UpperCamelCase  (a__ :Any ,      a__ :Optional[Any]							):






							"""simple docstring"""





							UpperCamelCase__					  =      os.path.join(a__ ,      """test_file.py"""							)
							with open(a__ ,      """w"""							) as _tmp_file:
														_tmp_file.write(a__							)

							UpperCamelCase__					  =      get_imports(a__							)
							assert parsed_imports == ["os"]




