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Contest: Task: Related: TaskA TaskC

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.