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 kbd =new Scanner(System.in);
   int x=kbd.nextInt();
   int y=kbd.nextInt();

   int Y=y/4;//Max tsuru
   boolean a=false;
   for(int i=Y;i>=0;i--){
     if(y==(x-i)*2+i*4){
       a=true;
     }
   }
   if(a==true){
     System.out.println("Yes");
   }else{
     System.out.println("No");
   }
 }
}
