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# (Mono 4.6.2.0) (judge verdict: Runtime Error)

using System;
class RemainderMinimization2019{
	public static void Main(){
		int n = int.Parse(Console.ReadLine());
		string[] str = Console.ReadLine().Split(' ');
		int[] damA = new int[n];
		int[] ans = new int[n];
		for(int a=0;a<n;a++){
			damA[a] = int.Parse(str[a]);
		}
		ans[0]=0;
		for(int a=0;a<n;a++){
            if(a%2==0){
              ans[0]+=damA[a];
            }else{
              ans[0]-=damA[a];
            }
		}
    for(int a=1;a<n;a++){
			ans[a]=2*damA[a-1]-ans[a-1];
		}
		for(int a=0;a<n;a++){
		  Console.Write("{0} ",ans[a]);
	  }
		Console.WriteLine("");
	}
}