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 sc = new Scanner(System.in);
        
        int x = sc.nextInt();
        int y = sc.nextInt();

        int tsuru = 0;
        int kame = 0;
        String answer = "Yes";

        if (y % 2 == 1) {
            answer = "No";
        } else if (x * 2 > y) {
            answer = "No";
        } else if (x * 4 < y) {
            answer = "No";
        } else if (((x * 4 - y) / 2) > x) {
            answer = "No";
        }

        if (x * 4 == y || x * 2 == y) {
            answer = "Yes";
        }
        
        System.out.println(answer);
    }
}