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 Fortran (gfortran v4.8.4) (judge verdict: Wrong Answer)

program sqrt
    implicit none
    real(kind=16) :: i, j, k
    real(kind=16) :: a, b, c
    read *, i, j, k

    i = real(i**1.00q0,kind=16)
    j = real(j**1.00q0,kind=16)
    k = real(k**1.00q0,kind=16)
    a = real(i**0.50q0,kind=16)
    b = real(j**0.50q0,kind=16)
    c = real(k**0.50q0,kind=16)

    if ((a+b)/c < 1.0q0) then
        print *, "Yes"
    else if ((a+b)/c >= 1.0q0) then
        print *, "No"
    end if

end program sqrt