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: Accepted)

program main
	implicit none
	integer(8):: X,Y,A,B,C,N,i,j,t,k,D,E
	read *, X,Y
	
   	if(mod(Y,2)==1)then
   	print'(a)',"No"
   	stop
   	end if
   	if((2*X-Y/2)>=0.and.(Y/2-X)>=0)then
  	print'(a)',"Yes"
  	stop
  	else 
  	print'(a)',"No"
	stop
    end if
	
end program main