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

	public static void main(String[] args) { 
		Scanner input = new Scanner(System.in); 
		int X = input.nextInt();
		int Y = input.nextInt();
		boolean good = false;
		for (int crane = 0; crane <= X; crane++) {
			if (crane*2+(X-crane)*4==Y) {
				good=true;
				break;
			}
		}
		System.out.println(good?"Yes":"No");
	}	
}