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
#include<stdio.h>
int main()
{
	int a,b,c,t;
	scanf("%d%d%d",&a,&b,&c);
	if(a*b>c)
	t=c;
	else
	t=a*b;
	printf("%d",t);
 } 