Score : 100 points

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.

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