#include<bits/stdc++.h>
#include<atcoder/all>
using namespace atcoder;
using mint=modint998244353;
using namespace std;
using ll=long long;
using ull=unsigned long long;
#define rep(i,a,b) for(ll i=(ll)(a);i<(ll)(b);i++)
#define rrep(i,a,b) for(ll i=(ll)(a-1);i>=(ll)(b);i--)
#define MOD 998244353
//#define MOD 1000000007
#define INF 1e18
#define Pair pair<ll,ll>
//#define PI numbers::pi
//#define E numbers::e
template <typename T> bool chmax(T& a,T b){if(a<b){a=b;return 1;}return 0;}
template <typename T> bool chmin(T& a,T b){if(a>b){a=b;return 1;}return 0;}
ll dx[4]={0,1,0,-1};
ll dy[4]={1,0,-1,0};

int main(){
    ll a,b,c; cin >> a >> b >> c;
    cout << min(a*c,b) << endl;
}