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 JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

'use strict';

function main(input) {
  const i = input.split(' ').map((x) => x | 0);

  const a = Math.sqrt(i[0]);
  const b = Math.sqrt(i[1]);
  const c = Math.sqrt(i[2]);

  const ans = a + b < c ? 'Yes' : 'No';
  console.log(ans);
}

main(require('fs').readFileSync('/dev/stdin', 'utf8'));