#include<bits/stdc++.h>
#define int unsigned long long
using namespace std;

int n,a,b;

signed main()
{
	ios::sync_with_stdio(0);
	cin.tie(0);
	
	cin >> n >> a >> b;
	
	if(n == 0)
		cout << 0;
	else
    {
        int liuzhiyu=b/a;
        if(liuzhiyu >= n)
        	cout << a*n;
        else
        	cout << b;
    }
	 
    return 0;
}