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();
			
			for(int i=0;i<=x;i++) {
				if(2*i+4*(x-i)==y) {
					System.out.println("Yes");
					return;
				}
			}
			
			System.out.println("No");
			
		}
	}
