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.io.PrintStream;
import java.util.Arrays;
import java.util.Scanner;

public class Main {
    static final PrintStream so = System.out;
    static final Scanner sc = new Scanner(System.in);
    
    public static void main(String[] args) {
        int[] a = new int[3];
        a[0] = ni();
        a[1] = ni();
        a[2] = ni();
        if (a[0] % 2 == 0 || a[1] % 2 == 0 || a[2] % 2 == 0) {
            so.println(0);
            return;
        }
        
        Arrays.sort(a);
        so.println((long)a[0] * a[1]);
    } 

    static int ni() {
        return sc.nextInt();
    }
    
    static long nl() {
        return sc.nextLong();
    }

    static char[] nsToChars() {
        return sc.next().toCharArray();
    }
}
