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.Arrays;
import java.util.Scanner;




public class Main {

    public static void main(String[] args) {

    	Main main=new Main();

    	main.run();

    }

    void run() {
    	Scanner sc=new Scanner(System.in);

    	long[] L=new long[3];

    	for(int i=0;i<3;i++) {
    		L[i]=sc.nextLong();
    	}

    	Arrays.sort(L);

    	long base=L[0]*L[1];

    	if(L[2]%2==0) {
    		System.out.println("0");
    	}else {
    		System.out.println(base);
    	}
    }


}

