from __future__ import annotations

from typing import Any


def SCREAMING_SNAKE_CASE			(       *lowercase_:		list[list[int]]			):
       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 SCREAMING_SNAKE_CASE			(       lowercase_:		list[list[int]]						,  lowercase_:		list[list[int]]			):
       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 SCREAMING_SNAKE_CASE			(       lowercase_:		list[list[int]]						,  lowercase_:		int | float			):
       return [[x * n for x in row] for row in matrix]


def SCREAMING_SNAKE_CASE			(       lowercase_:		list[list[int]]						,  lowercase_:		list[list[int]]			):
       if _check_not_integer(lowercase_			) and _check_not_integer(lowercase_			):
              _UpperCamelCase  , _UpperCamelCase       :    Dict					  =					_verify_matrix_sizes(lowercase_						,  lowercase_			)

       if cols[0] != rows[1]:
              _UpperCamelCase       :    Dict					  =					(
                  '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 SCREAMING_SNAKE_CASE			(       lowercase_:		int			):
       _UpperCamelCase       :    int					  =					int(lowercase_			)
       return [[int(row == column			) for column in range(lowercase_			)] for row in range(lowercase_			)]


def SCREAMING_SNAKE_CASE			(       lowercase_:		list[list[int]]						,  lowercase_:		bool = 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 SCREAMING_SNAKE_CASE			(       lowercase_:		list[list[int]]						,  lowercase_:		int						,  lowercase_:		int			):
       _UpperCamelCase       :    List[str]					  =					matrix[:row] + matrix[row + 1 :]
       return [row[:column] + row[column + 1 :] for row in minor]


def SCREAMING_SNAKE_CASE			(       lowercase_:		list[list[int]]			):
       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 SCREAMING_SNAKE_CASE			(       lowercase_:		list[list[int]]			):
       _UpperCamelCase       :    int					  =					determinant(lowercase_			)
       if det == 0:
              return None

       _UpperCamelCase       :    Tuple					  =					[
           [determinant(minor(lowercase_						,  lowercase_						,  lowercase_			)			) for j in range(len(lowercase_			)			)]
           for i in range(len(lowercase_			)			)
       ]

       _UpperCamelCase       :    Dict					  =					[
           [x * (-1) ** (row + col) for col, x in enumerate(matrix_minor[row]			)]
           for row in range(len(lowercase_			)			)
       ]
       _UpperCamelCase       :    List[Any]					  =					list(transpose(lowercase_			)			)
       return scalar_multiply(lowercase_						,  1 / det			)


def SCREAMING_SNAKE_CASE			(       lowercase_:		list[list[int]]			):
       return not isinstance(lowercase_						,  lowercase_			) and not isinstance(matrix[0]						,  lowercase_			)


def SCREAMING_SNAKE_CASE			(       lowercase_:		list[list[int]]			):
       return len(lowercase_			), len(matrix[0]			)


def SCREAMING_SNAKE_CASE			(       lowercase_:		list[list[int]]						,  lowercase_:		list[list[int]]			):
       _UpperCamelCase       :    str					  =					_shape(lowercase_			) + _shape(lowercase_			)
       if shape[0] != shape[3] or shape[1] != shape[2]:
              _UpperCamelCase       :    Optional[Any]					  =					(
                  '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 SCREAMING_SNAKE_CASE			(       ):
       _UpperCamelCase       :    List[Any]					  =					[[12, 10], [3, 9]]
       _UpperCamelCase       :    Any					  =					[[3, 4], [7, 4]]
       _UpperCamelCase       :    List[Any]					  =					[[11, 12, 13, 14], [21, 22, 23, 24], [31, 32, 33, 34], [41, 42, 43, 44]]
       _UpperCamelCase       :    Optional[int]					  =					[[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()




def SCREAMING_SNAKE_CASE			(       lowercase_:		int = 4000000			):
       _UpperCamelCase       :    str					  =					1
       _UpperCamelCase       :    str					  =					2
       _UpperCamelCase       :    Tuple					  =					0
       while j <= n:
              if j % 2 == 0:
                     total += j
              _UpperCamelCase  , _UpperCamelCase       :    int					  =					j, i + j

       return total


if __name__ == "__main__":
 print(f'''{solution() = }''')



