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-----
7 17 120

-----Sample Output-----
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.

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