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(inp) {
  inp = inp.trim().split(' ').map(x => x*1);
  
  let ans = "No";
  if(Math.sqrt(inp[0]) + Math.sqrt(inp[1]) < Math.sqrt(inp[2])){
	ans = "Yes";
  }
  console.log(ans);
}

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