



'''simple docstring'''






from __future__ import annotations

from typing import Any





def 				_SCREAMING_SNAKE_CASE(					*snake_case_    :     list[list[int]]  )		->list[list[int]]:






							'''simple docstring'''
							if all(_check_not_integer(snake_case_  ) for m in matrix_s  ):
														for i in matrix_s[1:]:
																					_verify_matrix_sizes(matrix_s[0] ,       snake_case_  )
														return [[sum(snake_case_  ) for t in zip(*snake_case_  )] for m in zip(*snake_case_  )]
							raise TypeError('''Expected a matrix, got int/list instead'''  )





def 				_SCREAMING_SNAKE_CASE(					snake_case_    :     list[list[int]] ,       snake_case_    :     list[list[int]]  )		->list[list[int]]:






							'''simple docstring'''
							if (
							    _check_not_integer(snake_case_  )
							    and _check_not_integer(snake_case_  )
							    and _verify_matrix_sizes(snake_case_ ,       snake_case_  )
							):
														return [[i - j for i, j in zip(*snake_case_  )] for m in zip(snake_case_ ,       snake_case_  )]
							raise TypeError('''Expected a matrix, got int/list instead'''  )





def 				_SCREAMING_SNAKE_CASE(					snake_case_    :     list[list[int]] ,       snake_case_    :     int | float  )		->list[list[float]]:






							'''simple docstring'''
							return [[x * n for x in row] for row in matrix]





def 				_SCREAMING_SNAKE_CASE(					snake_case_    :     list[list[int]] ,       snake_case_    :     list[list[int]]  )		->list[list[int]]:






							'''simple docstring'''
							if _check_not_integer(snake_case_  ) and _check_not_integer(snake_case_  ):
														_lowercase			, _lowercase							:		str				=   _verify_matrix_sizes(snake_case_ ,       snake_case_  )

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





def 				_SCREAMING_SNAKE_CASE(					snake_case_    :     int  )		->list[list[int]]:






							'''simple docstring'''
							_lowercase							:		str				=   int(snake_case_  )
							return [[int(row == column  ) for column in range(snake_case_  )] for row in range(snake_case_  )]





def 				_SCREAMING_SNAKE_CASE(					snake_case_    :     list[list[int]] ,       snake_case_    :     bool = True  )		->list[list[int]] | map[list[int]]:






							'''simple docstring'''
							if _check_not_integer(snake_case_  ):
														if return_map:
																					return map(snake_case_ ,       zip(*snake_case_  )  )
														else:
																					return list(map(snake_case_ ,       zip(*snake_case_  )  )  )
							raise TypeError('''Expected a matrix, got int/list instead'''  )





def 				_SCREAMING_SNAKE_CASE(					snake_case_    :     list[list[int]] ,       snake_case_    :     int ,       snake_case_    :     int  )		->list[list[int]]:






							'''simple docstring'''
							_lowercase							:		int				=   matrix[:row] + matrix[row + 1 :]
							return [row[:column] + row[column + 1 :] for row in minor]





def 				_SCREAMING_SNAKE_CASE(					snake_case_    :     list[list[int]]  )		->Any:






							'''simple docstring'''
							if len(snake_case_  ) == 1:
														return matrix[0][0]

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





def 				_SCREAMING_SNAKE_CASE(					snake_case_    :     list[list[int]]  )		->list[list[float]] | None:






							'''simple docstring'''
							_lowercase							:		Dict				=   determinant(snake_case_  )
							if det == 0:
														return None

							_lowercase							:		Any				=   [
							    [determinant(minor(snake_case_ ,       snake_case_ ,       snake_case_  )  ) for j in range(len(snake_case_  )  )]
							    for i in range(len(snake_case_  )  )
							]

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





def 				_SCREAMING_SNAKE_CASE(					snake_case_    :     list[list[int]]  )		->bool:






							'''simple docstring'''
							return not isinstance(snake_case_ ,       snake_case_  ) and not isinstance(matrix[0] ,       snake_case_  )





def 				_SCREAMING_SNAKE_CASE(					snake_case_    :     list[list[int]]  )		->tuple[int, int]:






							'''simple docstring'''
							return len(snake_case_  ), len(matrix[0]  )





def 				_SCREAMING_SNAKE_CASE(					snake_case_    :     list[list[int]] ,       snake_case_    :     list[list[int]]  )		->tuple[tuple[int, int], tuple[int, int]]:






							'''simple docstring'''
							_lowercase							:		str				=   _shape(snake_case_  ) + _shape(snake_case_  )
							if shape[0] != shape[3] or shape[1] != shape[2]:
														_lowercase							:		List[Any]				=   (
														    '''operands could not be broadcast together with shape '''
														    F"({shape[0], shape[1]}), ({shape[2], shape[3]})"
														)
														raise ValueError(snake_case_  )
							return (shape[0], shape[2]), (shape[1], shape[3])





def 				_SCREAMING_SNAKE_CASE(					)		->None:






							'''simple docstring'''
							_lowercase							:		Optional[int]				=   [[12, 10], [3, 9]]
							_lowercase							:		Optional[Any]				=   [[3, 4], [7, 4]]
							_lowercase							:		Tuple				=   [[11, 12, 13, 14], [21, 22, 23, 24], [31, 32, 33, 34], [41, 42, 43, 44]]
							_lowercase							:		Dict				=   [[3, 0, 2], [2, 0, -2], [0, 1, 1]]
							print(F"Add Operation, {add(snake_case_ ,       snake_case_  ) = } \n"  )
							print(
							    F"Multiply Operation, {multiply(snake_case_ ,       snake_case_  ) = } \n" ,       )
							print(F"Identity: {identity(5  )}\n"  )
							print(F"Minor of {matrix_c} = {minor(snake_case_ ,       1 ,       2  )} \n"  )
							print(F"Determinant of {matrix_b} = {determinant(snake_case_  )} \n"  )
							print(F"Inverse of {matrix_d} = {inverse(snake_case_  )}\n"  )


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						main()








'''simple docstring'''






import warnings

from .generation import GenerationMixin

class 	_lowerCAmelCase     (    __A       ):






		'''simple docstring'''
		# warning at import time
		warnings.warn(
		    'Importing `GenerationMixin` from `src/transformers/generation_utils.py` is deprecated and will '
		    'be removed in Transformers v5. Import as `from transformers import GenerationMixin` instead.'     ,		__A     ,		)



