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: Accepted)

#include <bits/stdc++.h>
#include <iostream>
#include <string>

using namespace std;

int main(){
    int a;
    int l;
    cin >> a >> l;
    if(a == 1 && (l==2||l==4)){
        cout << "Yes" << endl;
        return 0;
    }
    for(int i = 0;i <= a;i++){
        int t = a - i;
        if((4*i + 2*t)==l){
            cout << "Yes" << endl;
            return 0;
        }
    }
    /*for(int i = 1;i*4 < l;i++){
        int bird = l - i * 4;
        if(bird % 2 == 0 && (bird/2+i)==a){
            cout << "Yes" << endl;
            return 0;
        }
    }*/
    cout <<"No"<<endl;
}