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 abc
	implicit none
    integer(16) :: a,b,c,x,y
    double precision :: d,e,f,g
 
	read(*,*) a,b,c
 
	d = sqrt(dble(a))
	e = sqrt(dble(b))
	f = sqrt(dble(c))
    g = d + e
  
    x = 4 * a * b
    y = (c - a - b) ** 2
    
	if(x == y) then
    	g = 1
        f = 1
    endif
     
    if(g < f) then
    	write(*,*) "Yes"
    else
    	write(*,*) "No"
    endif
    
end program abc