Problem:
Score : 100 points

Problem Statement

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.

Sample Input 1

4 2 9

Sample Output 1

8

The train will cost us 4 \times 2 = 8 yen, and the taxi will cost us 9 yen, so the minimum total travel expense is 8 yen.

Sample Input 2

4 2 7

Sample Output 2

7

Sample Input 3

4 2 8

Sample Output 3

8

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;

typedef pair<int, int> PII;
typedef map<int, int> MII;
typedef priority_queue<int> P_QI;
typedef priority_queue<string> P_QS;
typedef vector<int> VI;
typedef vector<long long> VLL;
typedef vector< int > :: iterator $$;

#define SET(arr) memset(arr, -1, sizeof(arr))
#define CLR(arr) memset(arr, 0, sizeof(arr))

#define READ(f) freopen(f, "r", stdin)
#define WRITE(f) freopen(f, "w", stdout)

#define $ vector< int > :: iterator
#define m_p make_pair
#define p_b push_back
#define rep(i, n) for(int i=0; i<(n); i++)
#define forn(i, n) for (int i = 1; i <=(int)(n); ++i)
#define forab(i, a, b) for (int i = (int)(a); i <= (int)(b); ++i)
#define forba(i, b, a) for (int i = (int)(b); i >= (int)(a); --i)

#define forv(i,v) rep(i,SZ(v))
#define forit(i,s) for(auto i=(s).begin();i!=(s).end();++i)

#define Boost ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define all(a) (a).begin(), (a).end()
#define SZ(x) ((int)(x).size())
#define F first
#define S second
#define _ <<" "<<
#define CS(i) cout<<"Case "<<(int)(i)<<": "

const int MOD = 1e9+7;
const int inf = 1e9+9;
const long long INF = 1e18+3;
const ld eps = 1e-9;
const ld PI=acos(-1.0);
const ld E=2.71828182845904523536;

int main() {
Boost;
//READ("in.txt");
//WRITE("out.txt");
    int n,a,b;
    cin>>n>>a>>b;
    cout<<min(n*a,b)<<endl;

return 0;
}