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.Scanner;

public class Main {
	public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner(System.in);
        Main m = new Main(sc);
        m.show(m.solve());
        sc.close();
    }
    
	//フィールド
    Scanner sc;
    int X;
    int Y;
    
    //入力
    Main(Scanner sc) {
        this.sc = sc;
        this.X = sc.nextInt();
        this.Y = sc.nextInt();
    }
    
    //解答処理
    private String solve() {
        String answer = "No";
        int total = X * 4; //全てカメだった場合の足の本数
        
        if (total == Y) {
        	answer = "Yes";
        } else {
        	while (total > Y) {
        		total -= 2;
        	}
        	if (total == Y) {
        		answer = "Yes";
        	}
        }
        
        return answer;
    }
    
    //出力
    public void show(String answer) {
        System.out.println(answer);
    }

}