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(inputs) {
  // 1行目がinput[0], 2行目がinput[1], …に入る
  const input = inputs.split("\n");
  const a = Number(input[0].split(' ')[0]);
  const b = Number(input[0].split(' ')[1]);
  const c = Number(input[0].split(' ')[2]);
  if (c - a - b > 0) {
    console.log('Yes');
  }else if (4 * a * b < (c - a - b) * (c - a - b)){
    console.log('Yes');
  }else{
    console.log('No');
  }
}
//*この行以降は編集しないでください（標準入出力から一度に読み込み、Mainを呼び出します）
Main(require("fs").readFileSync("/dev/stdin", "utf8"));