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>
using namespace std;


int main(){
    int n,d;
    cin>>n>>d;
    double x[n][d];
    double sum=0.0;
    int count=0;
    for(int i=0;i<n;i++)
    for(int j=0;j<d;j++)
        cin>>x[i][j];
    for(int h=0;h<n;h++){
        for(int i=h+1;i<n;i++){
            for(int j=0;j<d;j++){
                sum+=abs((x[h][j]-x[i][j])*(x[h][j]-x[i][j]));
            }
            
            if (ceil(sqrt(sum)) == floor(sqrt(sum)))
                count++;
            sum=0.0;
        }
    }
    cout<<count<<endl;
}