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.

Sample Input 1

4 2 9

Sample Output 1

8

The train will cost us $4 \\times 2 = 8$ yen, and the taxi will cost us $9$ yen, so the minimum total travel expense is $8$ yen.

Sample Input 2

4 2 7

Sample Output 2

7

Sample Input 3

4 2 8

Sample Output 3

8