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 Haskell (GHC 7.10.3) (judge verdict: Wrong Answer)

solve :: Int -> Int -> Int -> String
solve a b c
  | d < e && 0 < e = "Yes"
  | otherwise = "No"
  where
    d = 4 * a * b
    e = (^2) $ (c-a-b)


main = do
  [a,b,c] <- map read . words <$> getLine
  putStrLn $ solve a b c