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++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <iostream>
#include <algorithm>
using namespace std;
typedef long long ll;
#define rep(i, n) for (ll i = 0; i < (ll)n; i++)
#define Rep(i, s, n) for (ll i = (ll)s; i < (ll)n; i++)
#define len(array) (sizeof(array) / sizeof(array[0]))


int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);

    ll l, r;
    cin >> l >> r;
    ll len = r-l+1;
    ll min = 0;
    if (len < 2019) {
        ll lmod = (l * (l + 1)) % 2019, rmod = (r * (r - 1)) % 2019;
        min = (lmod <= rmod) ? lmod : 0; 
    }
    cout << min << endl;
}