Pythagoras' theorem P60825

As Beremiz reminded a sheikh, this is the famous Pythagoras’ theorem:

“In any right triangle, the square of the hypotenuse equals the sum of the squares of the legs.”

Input

Input consists of several cases, each with three natural numbers between 1 and 10⁴.

Output

Print a line for every case. If the three given numbers can be the sides of a right triangle, print its area (it will always be integer). Otherwise, if they can be the sides of a non-degenerate triangle (i.e., with strictly positive area), print “yes”. Otherwise, print “no”.