Homework

(Note1: You do

(Note2: The size of the smallest cycle is known as the

(In 33.6, "Find the equivalence classes mod

(Optional) (also due Wed. 3/24): Here's an optional extra credit problem for you to ponder while you're suffering discrete withdrawl over spring break. Please work it yourself, and do not consult others (in our class or otherwise) for assistance.

A Martian appears before freelance mathematicians Sam and Max and says "I am thinking of two numbers X and Y where 3 <= X <= Y <= 97. I'll tell Sam their sum, and Max their product, and then, because I'm just a lame plot device to drive this problem, I'll disappear." After he does all of this, the following conversation ensues....

Determine X and Y.

Hint

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