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: Wrong Answer)

parseInt(x) = parse(BigInt, x)
parseMap(x::Array{SubString{String},1}) = map(parseInt, x)

function main()
	a,b,c = readline() |> split |> parseMap
	ra::BigFloat=sqrt(a)
	rb::BigFloat=sqrt(b)
	rc::BigFloat=sqrt(b)
	println(ra+rb<rc?"Yes":"No")
end

main()