Problem Statement

$N$ of us are going on a trip, by train or taxi.

The train will cost each of us $A$ yen (the currency of Japan).

The taxi will cost us a total of $B$ yen.

How much is our minimum total travel expense?

Constraints

• All values in input are integers.
• $1 \leq N \leq 20$
• $1 \leq A \leq 50$
• $1 \leq B \leq 50$

Input

Input is given from Standard Input in the following format:

N A B

Output

Print an integer representing the minimum total travel expense.