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.*;
class Main{
 public static void main(String args[])
 {
   Scanner sc=new Scanner(System.in);
   int x=sc.nextInt();
   int y=sc.nextInt();
   String ans="No";
   for(int i=0;i<=x;i++)
   {
     int c=x-i;
	if(2*i+4*c==y)
   {
     ans="Yes";
      break;
   }
   }
   System.out.println(ans);
 }
}
