[12 points] Entropy and Huffman coding: [6 points] What is the entropy of the image below (show the calculation steps)? The numbers (0, 10, 60, 80, 90) denote gray-level intensities? 600 60 60 80 80 0 0 0 0 0 10 10 10 10 10 60 60 60 10 0 0 0 600 80 80 90 90 60 10 60 60 90 0 90 60 10 60 60 90 0 90 0 10 10 60 60 600 0 10 10 10 0 91919 0 1 [6 points] Show, step-by-step, how to construct the Huffman tree to encode the above intensity values (i.e., 0, 10, 60, 80, 90) in this image. Show the resulting code for each intensity value