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;
 
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");
	        System.exit(0);
	      }
	    }
	    System.out.println("No");
  }
}