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 PHP7 (7.0.15) (judge verdict: Wrong Answer)

<?php
  list($a, $b, $c) = explode(" ", trim(fgets(STDIN)));

$sc = sqrt($c);
$sb = sqrt($b);
$sa = sqrt($a);

  if($sa + $sb < $sc){
    if($sc - $sb - $sa < 0.0000001){
      echo "No";
    }else{
      echo "Yes";
    }
  }else{
    echo "No";
  }