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
#include<iostream>
#include<string>
#include<algorithm>
using namespace std;
int main()
{
	long a[4];
	cin>>a[0]>>a[1]>>a[2];
	sort(a,a+3);
	if(a[0]%2+a[1]%2+a[2]%2==3)cout<<a[0]*a[1]<<endl;
	else cout<<"0"<<endl;
	return 0;
}