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 main
  integer(8) :: a,b,c

  read(*,*) a,b,c

!  if ( sqrt(real(a,8)) + sqrt(real(b,8)) - sqrt(real(c,8)) < 0.e-10 ) then
  if ( 2.d0*sqrt(real(a,8))*sqrt(real(b,8)) < c - (a + b)) then
     write(*,'(a)') 'Yes'
  else 
     write(*,'(a)') 'No'
  end if

end program main