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 Julia (0.5.0) (judge verdict: Accepted)

function main()
  (a, b, c) = map(x -> parse(Int, x), split(readline()))
  x = a + b - c
  
  if x > 0
    print("No")
    return;
  end
  
  if x^2 <= 4*a*b
    print("No")
    return;
  end
  
  println("Yes")
end; main()