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)

function main()

    (a, b, c) = map(x -> parse(Int128, x), split(readline()))

    hante = sqrt(c) - (a + b + 2 * (sqrt(a) * sqrt(b)))

    if hante > 0.000000000000000000000000000000000
        print("Yes")
    else
        print("No")
    end

end

main()