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;

#define ll long long int
#define ld long double
#define pb push_back
#define mp make_pair

#define forn(i,s,n) for(i=s;i<n;i++)
#define all(c)  c.begin(),c.end()
#define boost ios_base::sync_with_stdio(0);cin.tie(NULL);cout.tie(0);srand(time(NULL));
#define tc(t) ll t;cin >> t; while(t--)

#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;

#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>



#define pii pair<long long,long long>
#define vii vector<pii>
#define vvi vector<vector <long long> >

#define ff first
#define ss second

#define pqmax priority_queue<int>
#define pqmin priority_queue<int,vector<int> , greater<int> >

#define deb1(x) cout<<#x<<" : "<<x<<endl;
#define deb2(x,y) cout<<#x<<" : "<<x<<"\t"<<#y<<" : "<<y<<endl;
#define deb3(x,y,z) cout<<#x<<" : "<<x<<"\t"<<#y<<" : "<<y<<"\t"<<#z<<" : "<<z<<endl;
#define deba(a,n) for(ll i=0;i<n;++i) {  cout<<a[i]<<" "; };cout<<"\n"

#define MOD 1000000007
#define INF LONG_LONG_MAX
#define MINF LONG_LONG_MIN




int main()
{
 boost;
  int n,a,b;
  cin >> n >> a >> b;
  int c=n*a;
  cout << min(c,b);


}