Algebraic Expression (I)

Time Limit: 1 sec

 

The Problem

 If a + b + c = X and ab + bc + ac = Y, what is the value of (a+b)² + (b+c)² + (c+a)² ?

 

Example

if a + b + c = 10 and ab + bc + ac = 20 then

(a+b)² + (b+c)² + (c+a)²  = 160

 

The Input

Input file contain a series of line, each line contains two integer numbers X and Y (0<X,Y<1000).

 

The Output

For each line of input, output will show one integer numbesr which the value of (a+b)² + (b+c)² + (c+a)² in a separate line.

 

Sample Input

2 1

3 2

3 9

 

Sample Output

 6

14

0

 

 

 

 

Problem Setter: Shahin ShamS