T or T

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?

Constraints

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

Input

Input is given from Standard Input in the following format:

N A B

Output

Print an integer representing the minimum total travel expense.

Examples

Input

4 2 9

Output

8

Input

4 2 7

Output

7

Input

4 2 8

Output

8

inputFormat

input are integers.

• 1 \leq N \leq 20
• 1 \leq A \leq 50
• 1 \leq B \leq 50

Input

Input is given from Standard Input in the following format:

N A B

outputFormat

Output

Print an integer representing the minimum total travel expense.

Examples

Input

4 2 9

Output

8

Input

4 2 7

Output

7

Input

4 2 8

Output

8

样例

4 2 7

7