Pythagoras Rocks

A Pythagorean triple consists of three positive integers $a$, $b$, and $c$, such that $a^2 + b^2 = c^2$.

The Pythagoras's theorem says, for a right triangle (a triangle with one of the sides being $90\degree$), the same formula holds (where $a$, $b$, and $c$) are the three sides of the triangle.

In this problem, you will be given a Pythagorean triple, you will have to determine which of the three numbers in the triple represents the hypotenuse of the triangle.

Input

The only input line contains three integers $X$, $Y$, and $Z$ ($1 \le X, Y, Z \le 10^9$), the three sides of a Pythagorean triangle.

Output

Print the number among $X$, $Y$, and $Z$ that represents the hypotenuse.

Samples

Input	Output
3 4 5	5

Input	Output
5 12 13	13