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 1.8.0) (judge verdict: Accepted)

import java.util.Scanner;

public class Main {

	static final long DIVIDE_NUMBER = 1000000007;

	public static void main(String[] args) {

		Scanner scan = new Scanner(System.in);

		int x = scan.nextInt();
		int y = scan.nextInt();

		String answer = check(x, y);

		println(answer);
	}

	public static String check(int x, int y) {

		int max = x * 4;

		int min = x * 2;

		if (max < y || y < min || y % 2 == 1) {
			return "No";
		}

		return "Yes";
	}

	public static void println(Object target) {
		System.out.println(target);
	}
}