





from __future__ import annotations

from typing import Any




def        lowerCAmelCase_       (							*UpperCamelCase_     )   ->						list[list[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        lowerCAmelCase_       (							UpperCamelCase_    ,						UpperCamelCase_     )   ->						list[list[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        lowerCAmelCase_       (							UpperCamelCase_    ,						UpperCamelCase_     )   ->						list[list[float]]:
       return [[x * n for x in row] for row in matrix]




def        lowerCAmelCase_       (							UpperCamelCase_    ,						UpperCamelCase_     )   ->						list[list[int]]:
       if _check_not_integer(UpperCamelCase_     ) and _check_not_integer(UpperCamelCase_     ):
              UpperCamelCase_				,       UpperCamelCase_      				=     _verify_matrix_sizes(UpperCamelCase_    ,						UpperCamelCase_     )

       if cols[0] != rows[1]:
              UpperCamelCase_      				=     (
                  "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        lowerCAmelCase_       (							UpperCamelCase_     )   ->						list[list[int]]:
       UpperCamelCase_      				=     int(UpperCamelCase_     )
       return [[int(row == column     ) for column in range(UpperCamelCase_     )] for row in range(UpperCamelCase_     )]




def        lowerCAmelCase_       (							UpperCamelCase_    ,						UpperCamelCase_ = True     )   ->						list[list[int]] | map[list[int]]:
       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        lowerCAmelCase_       (							UpperCamelCase_    ,						UpperCamelCase_    ,						UpperCamelCase_     )   ->						list[list[int]]:
       UpperCamelCase_      				=     matrix[:row] + matrix[row + 1 :]
       return [row[:column] + row[column + 1 :] for row in minor]




def        lowerCAmelCase_       (							UpperCamelCase_     )   ->						Any:
       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        lowerCAmelCase_       (							UpperCamelCase_     )   ->						list[list[float]] | None:
       UpperCamelCase_      				=     determinant(UpperCamelCase_     )
       if det == 0:
              return None

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

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




def        lowerCAmelCase_       (							UpperCamelCase_     )   ->						bool:
       return not isinstance(UpperCamelCase_    ,						UpperCamelCase_     ) and not isinstance(matrix[0]    ,						UpperCamelCase_     )




def        lowerCAmelCase_       (							UpperCamelCase_     )   ->						tuple[int, int]:
       return len(UpperCamelCase_     ), len(matrix[0]     )




def        lowerCAmelCase_       (							UpperCamelCase_    ,						UpperCamelCase_     )   ->						tuple[tuple[int, int], tuple[int, int]]:
       UpperCamelCase_      				=     _shape(UpperCamelCase_     ) + _shape(UpperCamelCase_     )
       if shape[0] != shape[3] or shape[1] != shape[2]:
              UpperCamelCase_      				=     (
                  "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        lowerCAmelCase_       (							)   ->						None:
       UpperCamelCase_      				=     [[12, 10], [3, 9]]
       UpperCamelCase_      				=     [[3, 4], [7, 4]]
       UpperCamelCase_      				=     [[11, 12, 13, 14], [21, 22, 23, 24], [31, 32, 33, 34], [41, 42, 43, 44]]
       UpperCamelCase_      				=     [[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()








import warnings

from .generation import GenerationMixin



class 							_UpperCamelCase    (		lowerCAmelCase_   ):
       # 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.'''     ,  lowerCAmelCase_     ,  )

