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: Accepted)

program main
    integer(16) :: a,b,c,d
    read*,a,b,c
    d = c-a-b
    if (d > 0 .and. d**2 > 4*a*b ) then
        print *, 'Yes'
    else
        print *, 'No'
    end if
end program main