Problem:
Score : 200 points

Problem Statement

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.

Sample Input 1

3 8

Sample Output 1

Yes

The statement "there are 3 animals in total in the garden, and they have 8 legs in total" is correct if there are two cranes and one turtle. Thus, there is a combination of numbers of cranes and turtles in which the statement is correct.

Sample Input 2

2 100

Sample Output 2

No

There is no combination of numbers of cranes and turtles in which this statement is correct.

Sample Input 3

1 2

Sample Output 3

Yes

We also consider the case in which there are only cranes or only turtles.

Solution in C++ (Clang 10.0.0) (judge verdict: Wrong Answer)

#include<iostream>
using namespace std;
int main()
{
    int x, y, res1,res2;
    cin >> x >> y;
    res1 = x* 2;
    res2 = x * 4;
    if(x * 2 == y || x * 4 == y)
    {
        cout<<"Yes"<<endl;
    }
    else
    {
        if((y%2)== 0 || (y%4)==0 && (res1+res2==y))
            cout << "Yes" << endl;

        else
            cout << "NO" << endl;
    }
    return 0;
}