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;
    cin>>x>>y;
    if(4*x<y){
        cout<<"No"<<endl;
        return 0;
    }
    if(!(y%4)||!(y%2)){
        cout<<"Yes"<<endl;
        return 0;
    }
    for(int i=1;4*i<y;i++){
        if(!((y-4*i)%2)){
            cout<<"Yes"<<endl;
            break;
        }
        if((y-4*i)==1){
            cout<<"No"<<endl;
        }
    }
    return 0;
}