#include<bits/stdc++.h>
using namespace std;
long long n,a,b,s,jieguo;
int main(){
    cin>>n>>a>>b;
    if(a==0||n==0){
        cout<<0;
        return 0;
    }
    s=n*a;
    jieguo=b;
    cout<<min(s,jieguo)<<endl;
    return 0;
}