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(BigInt,x), split(readline()))
  
  if 10^5*sqrt(a) + 10^5*sqrt(b) < 10^5*sqrt(c)
    println("Yes")
  else
    println("No")
  end
  
end

main()