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)

inp = require('fs').readFileSync('/dev/stdin', 'utf8').trim().split('\n')
l = inp.shift().split(' ')
a = l.shift() * 1
b = l.shift() * 1 
c = l.shift() * 1 
console.log(Math.sqrt(a)+Math.sqrt(b)<Math.sqrt(c) ? "Yes": "No")