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`.

Examples

Input

3 8


Output

Yes


Input

2 100


Output

No


Input

1 2


Output

Yes
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int X=sc.nextInt();
		int Y=sc.nextInt();
		sc.close();
		boolean result=false;
		int legs=0;
		for(int i=0;i<=X;i++) {
			legs=(i*2)+((X-i)*4);
			if(legs==Y)
				result=true;
		}
		if(result==true)
			System.out.println("Yes");
		else
			System.out.println("No");
	}
}
