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?

Input

Input is given from Standard Input in the following format:
N A B

Output

Print an integer representing the minimum total travel expense.

Constraints

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

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

见题面 Input 部分

见题面 Output 部分