





'''simple docstring'''


from __future__ import annotations

from decimal import Decimal

from numpy import array
def       __snake_case		( SCREAMING_SNAKE_CASE_ :			list[list[float]] )							->     list[list[float]]:

       """simple docstring"""


       UpperCAmelCase  =						Decimal

       # Check if the provided matrix has 2 rows and 2 columns
       # since this implementation only works for 2x2 matrices
       if len(SCREAMING_SNAKE_CASE_ ) == 2 and len(matrix[0] ) == 2 and len(matrix[1] ) == 2:
              # Calculate the determinant of the matrix
              UpperCAmelCase  =						float(
                  d(matrix[0][0] ) * d(matrix[1][1] ) - d(matrix[1][0] ) * d(matrix[0][1] ) )
              if determinant == 0:
                     raise ValueError('''This matrix has no inverse.''' )

              # Creates a copy of the matrix with swapped positions of the elements
              UpperCAmelCase  =						[[0.0, 0.0], [0.0, 0.0]]
              UpperCAmelCase,					UpperCAmelCase  =						matrix[1][1], matrix[0][0]
              UpperCAmelCase,					UpperCAmelCase  =						-matrix[1][0], -matrix[0][1]

              # Calculate the inverse of the matrix
              return [
                  [(float(d(SCREAMING_SNAKE_CASE_ ) ) / determinant) or 0.0 for n in row] for row in swapped_matrix
              ]
       elif (
           len(SCREAMING_SNAKE_CASE_ ) == 3
           and len(matrix[0] ) == 3
           and len(matrix[1] ) == 3
           and len(matrix[2] ) == 3
       ):
              # Calculate the determinant of the matrix using Sarrus rule
              UpperCAmelCase  =						float(
                  (
                      (d(matrix[0][0] ) * d(matrix[1][1] ) * d(matrix[2][2] ))
                      + (d(matrix[0][1] ) * d(matrix[1][2] ) * d(matrix[2][0] ))
                      + (d(matrix[0][2] ) * d(matrix[1][0] ) * d(matrix[2][1] ))
                  )
                  - (
                      (d(matrix[0][2] ) * d(matrix[1][1] ) * d(matrix[2][0] ))
                      + (d(matrix[0][1] ) * d(matrix[1][0] ) * d(matrix[2][2] ))
                      + (d(matrix[0][0] ) * d(matrix[1][2] ) * d(matrix[2][1] ))
                  ) )
              if determinant == 0:
                     raise ValueError('''This matrix has no inverse.''' )

              # Creating cofactor matrix
              UpperCAmelCase  =						[
                  [d(0.0 ), d(0.0 ), d(0.0 )],
                  [d(0.0 ), d(0.0 ), d(0.0 )],
                  [d(0.0 ), d(0.0 ), d(0.0 )],
              ]
              UpperCAmelCase  =						(d(matrix[1][1] ) * d(matrix[2][2] )) - (
                  d(matrix[1][2] ) * d(matrix[2][1] )
              )
              UpperCAmelCase  =						-(
                  (d(matrix[1][0] ) * d(matrix[2][2] )) - (d(matrix[1][2] ) * d(matrix[2][0] ))
              )
              UpperCAmelCase  =						(d(matrix[1][0] ) * d(matrix[2][1] )) - (
                  d(matrix[1][1] ) * d(matrix[2][0] )
              )
              UpperCAmelCase  =						-(
                  (d(matrix[0][1] ) * d(matrix[2][2] )) - (d(matrix[0][2] ) * d(matrix[2][1] ))
              )
              UpperCAmelCase  =						(d(matrix[0][0] ) * d(matrix[2][2] )) - (
                  d(matrix[0][2] ) * d(matrix[2][0] )
              )
              UpperCAmelCase  =						-(
                  (d(matrix[0][0] ) * d(matrix[2][1] )) - (d(matrix[0][1] ) * d(matrix[2][0] ))
              )
              UpperCAmelCase  =						(d(matrix[0][1] ) * d(matrix[1][2] )) - (
                  d(matrix[0][2] ) * d(matrix[1][1] )
              )
              UpperCAmelCase  =						-(
                  (d(matrix[0][0] ) * d(matrix[1][2] )) - (d(matrix[0][2] ) * d(matrix[1][0] ))
              )
              UpperCAmelCase  =						(d(matrix[0][0] ) * d(matrix[1][1] )) - (
                  d(matrix[0][1] ) * d(matrix[1][0] )
              )

              # Transpose the cofactor matrix (Adjoint matrix)
              UpperCAmelCase  =						array(SCREAMING_SNAKE_CASE_ )
              for i in range(3 ):
                     for j in range(3 ):
                            UpperCAmelCase  =						cofactor_matrix[j][i]

        # Inverse of the matrix using the formula (1/determinant) * adjoint matrix
              UpperCAmelCase  =						array(SCREAMING_SNAKE_CASE_ )
              for i in range(3 ):
                     for j in range(3 ):
                            inverse_matrix[i][j] /= d(SCREAMING_SNAKE_CASE_ )

        # Calculate the inverse of the matrix
              return [[float(d(SCREAMING_SNAKE_CASE_ ) ) or 0.0 for n in row] for row in inverse_matrix]
       raise ValueError('''Please provide a matrix of size 2x2 or 3x3.''' )








'''simple docstring'''

from PIL import Image


def 						__magic_name__       (      __UpperCAmelCase, __UpperCAmelCase      )						->   Image:

					'''simple docstring'''

					def brightness(__UpperCAmelCase      ) -> float:
										return 128 + level + (c - 128)

					if not -2_5_5.0 <= level <= 2_5_5.0:
										raise ValueError('''level must be between -255.0 (black) and 255.0 (white)'''      )
					return img.point(__UpperCAmelCase      )


if __name__ == "__main__":
							# Load image
							with Image.open('image_data/lena.jpg') as img:
														# Change brightness to 100
														a    :							int										=    change_brightness(img, 100)
														brigt_img.save('image_data/lena_brightness.png', format='png')

