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: Accepted)

$s = <STDIN>;
 
my @dat =  split(/ /,$s);
 
my $A = $dat[0];
my $B = $dat[1];
my $C = $dat[2];

$L = 4 * $A * $B;
$M = ($C-$A-$B)* ($C-$A-$B);
if( ($C-$A-$B <0) ){ print "No";exit;}

if($L< $M){
  print "Yes";
}else{
  print "No";
}