#include<bits/stdc++.h>
using namespace std;

int main(){

int x,y;
cin >>x>>y;
//y 偶数

if(y%2==0 && 2*x<=y && y<=4*x){
cout << "Yes";

}else{

    cout <<"No";
}

}
### Prompt

Construct a CPP code solution to the problem outlined:

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

### Response

```cpp
#include<bits/stdc++.h>
using namespace std;

int main(){

int x,y;
cin >>x>>y;
//y 偶数

if(y%2==0 && 2*x<=y && y<=4*x){
cout << "Yes";

}else{

    cout <<"No";
}

}
```