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.*;

public class Main {
public static void main(String[] args) {
		
		Scanner keyboard = new Scanner(System.in); 
		
		int X  = keyboard.nextInt();
		int Y  = keyboard.nextInt();

		int turu = 2;
		int kame = 4;
		
		String ans = "No";
		
		for(int i=0; i<X+1; i++) {
			if(i*turu + (X-i)*kame == Y) {
				ans = "Yes";
			}
		}
		
		System.out.println(ans);
		keyboard.close();	
	}
}
