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 Perl (v5.18.2) (judge verdict: Wrong Answer)

$s = <STDIN>;

my @dat =  split(/ /,$s);

my $A = sqrt($dat[0]);
my $B = sqrt($dat[1]);
my $C = sqrt($dat[2]);

$L = $dat[0] + $dat[1] + (2 * $A * $B);
$M = $dat[2];
if($L< $M){
  print "Yes";
}else{
  print "No";
}