Analyze This

Suppose that Stelios has just finished playing a board game that has cards, each of which has a unique 2-digit number from 00 through 99. Thanks to expansion packs, Stelios has more than 100 such cards, so some of the cards have the same 2-digit numbers. The cards are all out of order now, and Stelios would like to put them away in sorted order, from smallest (00) to largest (99). Stelios adopts the following strategy: