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: Runtime Error)

<?php

    list($a, $b, $c) = in_ints();

    $a = sqrt($a);
    $b = sqrt($b);
    $c = sqrt($c);

    while( ! is_int($a) || ! is_int($b) || ! is_int($c)) {
        $a *= 10;
        $b *= 10;
        $c *= 10;
    }
    $a = (int)$a;
    $b = (int)$b;
    $c = (int)$c;
    if ($a + $b < $c) {
        yes();
    } else {
        no();
    }

    function is_int($f) {
        $wk = explode('.', strval($f));
        return @$wk[1] == 0;
    }
    
    /**
    * お手伝い関数さんたち
    */
    function in() {
        return trim(fgets(STDIN));
    }
    function in_int() {
        return (int)in();
    }
    function in_vals() {
        return explode(' ', in());
    }
    function in_ints() {
        return array_map('intval', in_vals());
    }
    function out($s) {
        echo $s . PHP_EOL;
    }
    function yes() {
        out('Yes');
    }
    function no() {
        out('No');
    }