We have a rectangular parallelepiped of size A×B×C, built with blocks of size 1×1×1. Snuke will paint each of the A×B×C blocks either red or blue, so that:

* There is at least one red block and at least one blue block.
* The union of all red blocks forms a rectangular parallelepiped.
* The union of all blue blocks forms a rectangular parallelepiped.



Snuke wants to minimize the difference between the number of red blocks and the number of blue blocks. Find the minimum possible difference.

Constraints

* 2≤A,B,C≤10^9

Input

The input is given from Standard Input in the following format:


A B C


Output

Print the minimum possible difference between the number of red blocks and the number of blue blocks.

Examples

Input

3 3 3


Output

9


Input

2 2 4


Output

0


Input

5 3 5


Output

15
import java.util.*;

public class Main {

    public static void main(String args[]) {

        // 入力
        Scanner sc = new Scanner(System.in);
        long a = Long.parseLong(sc.next());
        long b = Long.parseLong(sc.next());
        long c = Long.parseLong(sc.next());
        sc.close();

        // 主処理
        long result = 0;
        if (a % 2 == 1 && b % 2 == 1 && c % 2 == 1) {
            long ab = a * b;
            long bc = b * c;
            long ac = a * c;
            result = Math.min(Math.min(ab, bc), ac);
        }

        // 出力
        System.out.println(result);
    }
}
