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 PHP7 (7.0.15) (judge verdict: Wrong Answer)

<?php


    $shiki = fgets(STDIN);

    $shiki_list = explode(" ",$shiki);

    $a = $shiki_list[0];
    $b = $shiki_list[1];
    $c = $shiki_list[2];


    if(4<(($c-$a-$b)**2)/($a*$b)){
        echo "Yes\n";
    }else{
        echo "No\n";
    }