
from __future__ import annotations

from typing import Any





def 	_A						(							*lowercase__		):
						if all(_check_not_integer(lowercase__		) for m in matrix_s		):
												for i in matrix_s[1:]:
																		_verify_matrix_sizes(matrix_s[0]						,						lowercase__		)
												return [[sum(lowercase__		) for t in zip(*lowercase__		)] for m in zip(*lowercase__		)]
						raise TypeError("""Expected a matrix, got int/list instead"""		)





def 	_A						(							lowercase__						,						lowercase__		):
						if (
						    _check_not_integer(lowercase__		)
						    and _check_not_integer(lowercase__		)
						    and _verify_matrix_sizes(lowercase__						,						lowercase__		)
						):
												return [[i - j for i, j in zip(*lowercase__		)] for m in zip(lowercase__						,						lowercase__		)]
						raise TypeError("""Expected a matrix, got int/list instead"""		)





def 	_A						(							lowercase__						,						lowercase__		):
						return [[x * n for x in row] for row in matrix]





def 	_A						(							lowercase__						,						lowercase__		):
						if _check_not_integer(lowercase__		) and _check_not_integer(lowercase__		):
												lowercase__	,  lowercase__								=    _verify_matrix_sizes(lowercase__						,						lowercase__		)

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





def 	_A						(							lowercase__		):
						lowercase__								=    int(lowercase__		)
						return [[int(row == column		) for column in range(lowercase__		)] for row in range(lowercase__		)]





def 	_A						(							lowercase__						,						lowercase__ = True		):
						if _check_not_integer(lowercase__		):
												if return_map:
																		return map(lowercase__						,						zip(*lowercase__		)		)
												else:
																		return list(map(lowercase__						,						zip(*lowercase__		)		)		)
						raise TypeError("""Expected a matrix, got int/list instead"""		)





def 	_A						(							lowercase__						,						lowercase__						,						lowercase__		):
						lowercase__								=    matrix[:row] + matrix[row + 1 :]
						return [row[:column] + row[column + 1 :] for row in minor]





def 	_A						(							lowercase__		):
						if len(lowercase__		) == 1:
												return matrix[0][0]

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





def 	_A						(							lowercase__		):
						lowercase__								=    determinant(lowercase__		)
						if det == 0:
												return None

						lowercase__								=    [
						    [determinant(minor(lowercase__						,						lowercase__						,						lowercase__		)		) for j in range(len(lowercase__		)		)]
						    for i in range(len(lowercase__		)		)
						]

						lowercase__								=    [
						    [x * (-1) ** (row + col) for col, x in enumerate(matrix_minor[row]		)]
						    for row in range(len(lowercase__		)		)
						]
						lowercase__								=    list(transpose(lowercase__		)		)
						return scalar_multiply(lowercase__						,						1 / det		)





def 	_A						(							lowercase__		):
						return not isinstance(lowercase__						,						lowercase__		) and not isinstance(matrix[0]						,						lowercase__		)





def 	_A						(							lowercase__		):
						return len(lowercase__		), len(matrix[0]		)





def 	_A						(							lowercase__						,						lowercase__		):
						lowercase__								=    _shape(lowercase__		) + _shape(lowercase__		)
						if shape[0] != shape[3] or shape[1] != shape[2]:
												lowercase__								=    (
												    """operands could not be broadcast together with shape """
												    f'''({shape[0], shape[1]}), ({shape[2], shape[3]})'''
												)
												raise ValueError(lowercase__		)
						return (shape[0], shape[2]), (shape[1], shape[3])





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


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				main()








'''simple docstring'''



import warnings

from .generation import FlaxGenerationMixin





class      A							(    __UpperCAmelCase			):
			# warning at import time
			warnings.warn(
			    """Importing `FlaxGenerationMixin` from `src/transformers/generation_flax_utils.py` is deprecated and will """
			    """be removed in Transformers v5. Import as `from transformers import FlaxGenerationMixin` instead."""						,  __UpperCAmelCase						,  )






