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 Common Lisp (SBCL 1.1.14) (judge verdict: Accepted)

(defun sqrt-inequality ()
  (let ((a (read))
        (b (read))
        (c (read))
        (ans "No"))
    (if (and (< 0 (- c a b)) (< (* 4 a b) (expt (- c a b) 2)))
      (setf ans "Yes"))
    ans))

(format t "~A~%" (sqrt-inequality))