Problem Statement

You are parking at a parking lot. You can choose from the following two fee plans:

• Plan $1$: The fee will be $A×T$ yen (the currency of Japan) when you park for $T$ hours.
• Plan $2$: The fee will be $B$ yen, regardless of the duration.

Find the minimum fee when you park for $N$ hours.

Constraints

• $1≤N≤20$
• $1≤A≤100$
• $1≤B≤2000$
• All input values are integers.

Input

Input is given from Standard Input in the following format:

N A B

Output

When the minimum fee is $x$ yen, print the value of $x$.