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";
const input = require("fs").readFileSync("/dev/stdin", "utf8").trim();
const line = input.split('\n')[0].split(' ');
const a = +line[0];
const b = +line[1];
const c = +line[2];
if (Math.sqrt(a) + Math.sqrt(b) < Math.sqrt(c)) {
    console.log('Yes');
} else {
    console.log('No');
}