Shuffle networks can be built from 4 x 4 and 8 x 8 switches, for example, instead of from 2x2 switches. Draw a 16 x 16 (n = 16) shuffle network built from 44 switches. If the cost of a 4 x 4 switch is four times the cost of a 2 2 switch, compare the cost of shuffle networks built from 4 x 4 switches with those built from 2 x 2 switches for n values in the sequence 4, 42, 43, and so on. Qualitatively compare the blocking probability of these two different ways of building shuffle networks.