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 Common Lisp (SBCL 2.0.3) (judge verdict: Wrong Answer)

(defun main ()
  (let ((x (read))
        (y (read)))
    (princ (cond ((= x 1)
                  (if (or (= y 4) (= y 2))
                      "Yes"
                      "No"))
                 ((= (truncate (/ y 4)) 1)
                  "Yes")
                 ((= (truncate (/ y 2)) 1)
                  "Yes")
                 ((= (truncate (/ (/ y 4) 2)) 1)
                  "Yes")
                 (t
                  "No")))))

(main)