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.

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.

Constraints

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

Sample Input 1

7 17 120

Sample Output 1

119

• If you choose Plan 1, the fee will be 7×17=119 yen.
• If you choose Plan 2, the fee will be 120 yen.

Thus, the minimum fee is 119 yen.

Sample Input 2

5 20 100

Sample Output 2

100

The fee might be the same in the two plans.

Sample Input 3

6 18 100

Sample Output 3

100

见题面 Input 部分

见题面 Output 部分