4,5,6

Suppose you are given a set of small boxes, numbered 1 ton, identical in every respect except that each of the first i contain a pearl whereas the remaining n-i are empty. You also have two magic! wands that can each test whether a box is empty or not in a single touch, except that a wand disappears if you test it on an empty box. Show that, without knowing the value of i, you can use the two wands to determine all the boxes containing pearls using at most o(n) (i.e., "little-o" n) wand touches. Express, as a function of n, the asymptotic number of wand touches needed. What is the least significant decimal digit of 1717"? (problem 1.26 in textbook) Consider an RSA key set with p = 29, 9 = 31, N = 899, and e = 11. What value of d should be used for the secret key? What is the encryption of the message M = 41? (problem 1.27 in textbook with numbers changed)