From AZSPCS:
Suppose you have a deck containing n cards. Each card contains a number from 1 to n, and each number appears on exactly one card. You look at the number on the top card -- let's says it's k -- and then reverse the order of the top k cards. You continue this procedure -- reading the top number and then reversing the corresponding number of cards -- until the top card is 1.
Write the fastest program to compute the number of reversals for a given deck. Note that if you are participating in the contest you are not allowed to post your code (and thus I will not post my code yet).