Problem:
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.

Sample Input 1

2 3 9

Sample Output 1

No

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

Sample Input 2

2 3 10

Sample Output 2

Yes

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

Solution in PHP (7.4.4) (judge verdict: Wrong Answer)

<?php
list($a, $b, $c) = ints();
$a = (float) $a;
$b = (float) $b;
$c = (float) $c;
echo 4 * $a * $b < ($c - $a - $b) ** 2 ? 'Yes' : 'No';
function ints()
{
    return array_map('intval', explode(' ', trim(fgets(STDIN))));
}