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
 
  implicit none
 
  integer(8) :: a, b, c, i,j,k
  
  read(*,*) a, b, c
  
  i = c**2
  j = -2*(a+b)*c
  k = (a-b)**2
  if ( i+j+k>0 .and. (c-(a+b)) > 0  ) then
    print*, "Yes"
  else
    print*, "No"
  end if
  
  
end program main