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 Java (OpenJDK 11.0.6) (judge verdict: Accepted)

import java.util.Scanner;
import java.util.Random;

public class Main{
    public static void main(String[] args){
        Scanner sc =new Scanner(System.in);
        int a=sc.nextInt();
        int b=sc.nextInt();
        int e=b%2;
        int c=0;
        int flg=0;
        if(e==0 && a!=0 && b!=0){
            for(int i=0; i<=a; i++){
                c=4*(a-i)+2*i;
                if(b==c){
                    flg=1;
                }
            }
            if(flg==1){
                System.out.println("Yes");
            }else{
                System.out.println("No");
            }
        }else{
            System.out.println("No");
        }
    }
}