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);

		String[] tmp = scanner.nextLine().split(" ");

		int bio = Integer.parseInt(tmp[0]);
		int leg = Integer.parseInt(tmp[1]);

		double diff = leg - (2.0 * bio);
		double Knum = diff / 2.0;
		double Tnum = bio - Knum;

		int bioSum = (int) (Knum + Tnum);
		int legSum = (int) (Knum * 4 + Tnum * 2);

		if(Knum < 0 || Tnum < 0) {

			System.out.println("No");

		}else if(leg % 2 != 0) {

			System.out.println("No");

		}else if(bioSum == bio && legSum == leg) {

			System.out.println("Yes");

		}else {

			System.out.println("No");

		}


	}

}