Write a program to reduce the number of gray levels L in a PGM image from L=256 to: (i) L=128, (ii) L=32, (iii) L=8, and (iv) L=2. Show your results using the “lenna” and “peppers” images. For comparison purposes, subsample the gray-levels to better visualize the quantized images (e.g., if L=128, you can use 0, 2, 4, …, 254 with Q=255 in the PGM file instead of 0, 1, 2, …, 127 with Q=127; similarly, if L=2, you can use 0, 127 with Q=255 instead of 0, 1 with Q=1).

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