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++ (GCC 9.2.1) (judge verdict: Wrong Answer)

    #include<bits/stdc++.h>
    #define ll long long
    #define pb push_back
    #define Fast ios_base::sync_with_stdio(false); cin.tie(0);
    using namespace std;

    int main() {

        int a,b;
        cin>>a>>b;
        if(b%a == 2 || (b%4)%2 == 0 && (b/4)+(b%4)/2  == a || (b%2 == 0)&& b/2 == a ||(b%4 == 0) && b/4 == a){
            cout<<"Yes"<<endl;
        }
        else cout<<"No"<<endl;


        return 0;
    }