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 Pascal (FPC 2.6.2) (judge verdict: Accepted)

{**
 * Author  : Nguyen Canh Toan
 * Problem : C - Sqrt Inequality
 * Link    : https://atcoder.jp/contests/panasonic2020/tasks/panasonic2020_c
**}
uses math;
const std='tmp';
var a,b,c:int64;
    input,output:text;
procedure main();
var ans:int64;
begin
  read(a,b,c);
  if (c-(a+b+2*sqrt(a)*sqrt(b))>0) then write('Yes') else write('No');
end;
BEGIN
  //assign(input,std+'.inp');reset(input);
  //assign(output,std+'.out');rewrite(output);
    main();
  //close(input);
  //close(output);
END.