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
    integer :: i, j, k

    read *, i, j, k

    i = dble(i)
    j = dble(j)
    k = dble(k)

    if (dble(dble(i**0.50d0) + dble(j**0.50d0)) < dble(k**0.50d0)) then
        print *, "Yes"
    else if (dble(dble(i**0.50d0) + dble(j**0.50d0)) > dble(k**0.50d0)) then
        print *, "No"
    else if (dble(dble(i**0.50d0) + dble(j**0.50d0)) == dble(k**0.50d0)) then

    end if

end program sqrt