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: Runtime Error)

<?php
  $a = intval($argv[1]); $b = intval($argv[2]); $c = intval($argv[3]);

  if(c-a-b < 0)
    print("No");
  else{
    if((c-a-b)*(c-a-b) > 4ab)
      print("Yes");
    else
      print("No");
  }
?>