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

  implicit none

  integer(8) :: a, b, c
  real(8) :: ar, br, cr,i, j ,k
  
  read(*,*) a, b, c
  ar = real(a,kind=8) 
  br = real(b,kind=8) 
  cr = real(c,kind=8) 
  !if ( (sqrt( real(a) ) + sqrt( real(b) )) < sqrt( real(c) ) ) then
  !  print*, "Yes"
  !else
  !  print*, "No"
  !end if
  i = cr**2
  j = -2*(ar+br)*cr
  k = (ar-br)**2
  if ( (i+j+k)>0 ) then
    print*, "Yes"
  else
    print*, "No"
  end if
  
  
end program main