Score : $300$ points

Problem Statement

Does $\sqrt{a} + \sqrt{b} < \sqrt{c}$ hold?

Constraints

• $1 \leq a, b, c \leq 10^9$
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

$a \ b \ c$

Output

If $\sqrt{a} + \sqrt{b} < \sqrt{c}$, print Yes; otherwise, print No.

2 3 9

No

$\sqrt{2} + \sqrt{3} < \sqrt{9}$ does not hold.

2 3 10

Yes

$\sqrt{2} + \sqrt{3} < \sqrt{10}$ holds.