Problem 3. Athletes $A, B, C, D$ and $E$ participated in a race. Athlete $D$ arrived later than $A$, and athlete $B$ arrived earlier than $D$ and immediately after $C$. Athlete $C$ was not first, but arrived before $A$. In what order did the participants finish? Enter the letters $A, B, C, D, E$ without spaces or commas in the order in which the athletes finished.

Answer: ECBAD.
Solution. Note that athlete $B$ arrived right after $C$. In addition, it is known that $A$ arrived after $C$ (and thus after $B$ as well), and $D$ arrived after $A$. Therefore, we get that $C$ overtook at least three others, yet did not arrive first. This means that the first to arrive was $E$, followed by $C$, then $B$, then $A$, and the last to arrive was $D$.