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 5.4.1) (judge verdict: Wrong Answer)

#include <stdio.h>
#include <math.h>
int judge(int,int,int,int X[][10]);
int main(void)
{
    int n,d;
    int X[10][10];

    int ans=0;
    int i,j;

    scanf("%d %d", &n,&d);
    for(i=0;i<n;i++){
        for(j=0;j<d;j++){
            scanf("%d", &X[i][j]);
        }
    }

    for(i=0;i<(n-1);i++){
        for(j=i+1;j<n;j++){
            ans += judge(d,i,j,X);
        }
    }
    printf("%d\n",ans);
 
    return 0;
}
int judge(int d,int i,int j,int X[][10])
{
    int memo = 0;

    int m;

    for(m=0;m<d;m++){
            memo += (X[i][m] - X[j][m]) * (X[i][m] - X[j][m]);
    }
        
    for(i = 1;i <= 100; i++){
        if(memo == i*i) return 1;
    }
    return 0;
    
}