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: Wrong Answer)

#include "bits/stdc++.h"
#define lpa(i,a,b) for(int i=a; i<b; ++i)
#define lp(i,n) lpa(i,0,n)
#define mp make_pair
#define fi first
#define se second
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define print_v(v,n) lp(i,n) cout<<v[i]<<' '; cout<<'\n';
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
int main(int argc, char const *argv[])
{
	ll l, r; cin>>l>>r;
	if(r - l + 1 >= 2019){
		cout<<0;
	}
	else{
		ll minx = 2019;
		for(int i=l;i<r;++i)
			for(int j=i+1;j<=r; ++j)
				minx = min(minx,(i*j)%2019ll);
		cout<<minx;
	}
	return 0;
}