Q1371 Consider shuffles of a standard 52-card pack. (See the article in volume 47 number 3 for terminology and basic information.) Let rev be the shuffle which reverses the pack - that is, the first card is swapped with the last, the second with the second last, and so on. As in the article, out denotes the outshuffle.
(a) Write a formula for rev(k) in terms of k; also, write rev as a product of cycles.