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 <iostream>

using namespace std;

int main()
{
    int x,y;
    // int ans;
    cin>>x>>y;
    if(y/x<=4 && y>x){
        if(y%x==0){
            cout<<"Yes";
        }
        else if(y%2!=0){
            cout<<"No";
        }
        else{
            cout<<"Yes";
            
            // for(int i=1;i<=x;i++){
            //     if((y-(i*4))/(x-i)==2 or (y-(i*2))/(x-i)==4){
            //         ans = "Yes";
            //     }
            //     else{
            //         cout<<"No";
            //     }
            // }
        }
            
    }
    else{
        cout<<"No";
    }
    return 0;
}