Problem:
Score : 200 points

Problem Statement

There are some animals in a garden. Each of them is a crane with two legs or a turtle with four legs.

Takahashi says: "there are X animals in total in the garden, and they have Y legs in total." Determine whether there is a combination of numbers of cranes and turtles in which this statement is correct.

Constraints

1 \leq X \leq 100

1 \leq Y \leq 100

All values in input are integers.

Input

Input is given from Standard Input in the following format:

X Y

Output

If there is a combination of numbers of cranes and turtles in which the statement is correct, print Yes; otherwise, print No.

Sample Input 1

3 8

Sample Output 1

Yes

The statement "there are 3 animals in total in the garden, and they have 8 legs in total" is correct if there are two cranes and one turtle. Thus, there is a combination of numbers of cranes and turtles in which the statement is correct.

Sample Input 2

2 100

Sample Output 2

No

There is no combination of numbers of cranes and turtles in which this statement is correct.

Sample Input 3

1 2

Sample Output 3

Yes

We also consider the case in which there are only cranes or only turtles.

Solution in Fortran (GNU Fortran 9.2.1) (judge verdict: Wrong Answer)

program abc170b
   implicit none
   integer :: x, y
   real(8) :: a, b, err=1d-3

   read(*,*) x, y

   a = dble(y)/2d0 - dble(x)
   b = dble(x) - a

   if (a >= 0d0 .and. b >=0d0) then
      if (a-int(a) <= err .and. b-int(b) <= err) then
         print *, "Yes"
      endif
   else
      print *, "No"
   endif
end program abc170b