In this question, we design a very simple undirected graphical model for denoising the output of a black and white printer with a defective cartridge head. Our old printer is defective in two ways: sometimes when the correct output is black, it outputs white and vice versa. Furthermore, sometimes the cartridge gets stuck. Suppose we formulate this as a CRF where we condition on y. Write out the partition function that corresponds to p(y,z|x; alpha, beta, gamma,θ, mu)?