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;
public class Main{
public static void main( String [] args){
Scanner in= new Scanner( System.in);
int c,t,X,Y,e,f,m,n,i,j,k;
c= 2;
t= 4;
m= 0;
X= in.nextInt();
Y= in.nextInt();
for (i=0;i<=X; i++){
e= c*i;
for (j= 0;  j <= X; j++){
f= t*j;
n= e+f;
k= i+j;
if (n==Y && k==X){
m++;
}
}
} if (m==0){
System.out.println ("No");
}else {
 System.out.println ("Yes");
  }
}
}