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: Wrong Answer)

import java.util.*;

// 問題
// https://atcoder.jp/contests/abc143/tasks/abc143_b

class Animals {

    // 個体数
    public static int num;
    // 足の数
    public static int leg_num;

    static String isOK(){
        if (((leg_num % 4) % 2) != 0) {
            return "No";
        }
        if (leg_num / 4 > num & leg_num / 2 <= 2){
            return "No";
        }
        return "Yes";
    }

}

public class Main {
    public static void main(String... args){

        // 入力の受け取り
        Scanner scanner = new Scanner(System.in);

        Animals.num = scanner.nextInt();
        Animals.leg_num = scanner.nextInt();


        System.out.println(Animals.isOK());

    }
}