Description

Xiaoke received a triangle formed by three wooden sticks that Xiaoming just selected, with side lengths $a$, $b$, and $c$. She wants to know if this triangle is a right triangle:
If it is a right triangle, output the square of the hypotenuse length;
If it is not a right triangle, output the maximum value of the square of the hypotenuse length that can be formed by any two sides as the legs of a right triangle.

Input Format

One line containing three space-separated integers $a$, $b$, and $c$, representing the three sides of the triangle.
For 100% of the data, $1≤a,b,c≤100$ and the sides can form a triangle.

Output Format

One line containing one integer, representing the square of the hypotenuse length as required by the problem.

Sample

3 4 6

52