#include <iostream>
using namespace std;
int main()
{
	int a, b,X,Y;
	cin >> X >> Y;
	if (Y > 4 * X || Y < 2 * X || Y % 2 == 1)	cout << "No" << endl;
	else cout << "Yes" << endl;
}
### Prompt

Please provide a Cpp coded solution to the problem described below:

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 <iostream>
using namespace std;
int main()
{
	int a, b,X,Y;
	cin >> X >> Y;
	if (Y > 4 * X || Y < 2 * X || Y % 2 == 1)	cout << "No" << endl;
	else cout << "Yes" << endl;
}
```