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;

class Main{
	public static void main(String args[]){
		Scanner scan = new Scanner(System.in);
		int X = scan.nextInt();
		int Y = scan.nextInt();
		int tmp = -1;
		String result="No";
		scan.close();

		for(int i = 0;i<=X;i++) {
			tmp = 2*i + 4*(X-i);
			if(Y==tmp) {
				result = "Yes";
			}
		}
		System.out.println(result);
	}

}
