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 OCaml (4.02.3) (judge verdict: Wrong Answer)

let _ = Scanf.sscanf (read_line ()) "%f %f %f" (fun a b c ->
  if c -. a -. b < 0. then "No" else
  if (sqrt a) +. (sqrt b) < sqrt c then "Yes" else "No"
) |> print_endline