B - Crane and Turtle

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.

3 8

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.

2 100

No

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

1 2

Yes

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