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
//package ABC170;

import java.util.*;
import java.io.*;
class Main {

	public static void main(String[] args) {
		// TODO Auto-generated method stub
		Scanner sc =new Scanner(System.in);
		int a=sc.nextInt();
		int l=sc.nextInt();
		
		int x=(4*a-l)/2;
		int y=(l-2*a)/2;
		
		if(x>=0 && y>=0 && x+y==a)
		{
			System.out.println("Yes");
		}
		else
		{
			System.out.println("No");
		}
			
		

	}

}
