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
 double precision a,b,c,d

 read *, a,b,c

 a=sqrt(a)
 b=sqrt(b)
 c=sqrt(c)
 d=a+b

 if (d<c)  print '(A)','Yes'
 if (d>=c) print '(A)','No'

 print *,'a=',a
 print *,'b=',b
 print *,'c=',c


endprogram main