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;

public class Main {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        double x = nextDouble(scanner);
        double y = nextDouble(scanner);
        double a = ((4 * x) - y) / 2;
        double b = ((y - (2 * x)) / 2);
        if (b == Math.floor(b)  && b >= 0 && a >= 0) {
            System.out.println("Yes");
        }else {
            System.out.println("No");
        }
    }

    private static int nextInt(Scanner scanner) {
        return Integer.parseInt(scanner.next());
    }

    private static long nextLong(Scanner scanner) {
        return Long.parseLong(scanner.next());
    }

    private static float nextFloat(Scanner scanner) {
        return Float.parseFloat(scanner.next());
    }

    private static double nextDouble(Scanner scanner) {
        return Double.parseDouble(scanner.next());
    }


}