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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.nio.charset.StandardCharsets;

public class Main {
	public static void main (String[] args) throws IOException{
	    InputStreamReader reader = new InputStreamReader(System.in, StandardCharsets.UTF_8);
	    BufferedReader in = new BufferedReader(reader);
		String[] str = in.readLine().split(" ");
		int X = Integer.parseInt(str[0]);
		int Y = Integer.parseInt(str[1]);
		if((Y-2*X)%2 == 0 && (Y-2*X)/2 >= 0 && X-((Y-2*X)/2) >= 0) {
			System.out.println((Y-2*X)/2);
			System.out.println(X-((Y-2*X)/2));
			System.out.println("Yes");
		}else
			System.out.println("No");
		System.out.println((Y-2*X)/2);
		System.out.println(X-((Y-2*X)/2));

	}
}