Write a program to evaluate the errors that are introduced by using nonlinear instead of linear color components for grayscale conversion. To do this, compute the difference between the Y values...

Write a program to evaluate the errors that are introduced by using nonlinear instead of linear color components for grayscale conversion. To do this, compute the difference between the Y values obtained with the linear variant (Eqn. (6.16)) and the non-linear variant (Eqn. (6.17) with w R = 0.309, w G = 0.609, w B = 0.082) for all possible 224 RGB colors. Let you program return the maximum gray value difference and the sum of the absolute differences for all colors.