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.util.*;

public class Main {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int tousuu = 0;
        int honsuu = 0;

        tousuu = scanner.nextInt();
        honsuu = scanner.nextInt();

        int turuasi = 2;
        int kameasi = 4;

        int kame = (honsuu - turuasi * tousuu) / (kameasi - turuasi);
//        System.out.println(kame);
        int turu = tousuu - kame;
//        System.out.println(turu);
//                System.out.println((turuasi +" " +turu + " " +kameasi +" " + kame));
//                System.out.println((turuasi * turu + kameasi * kame));
        if (turu >= 0 && kame >= 0) {
            if ((turu + kame) == tousuu) {
                if ((turuasi * turu + kameasi * kame) == honsuu) {
                    System.out.println("Yes");
                }
            } else {
                System.out.println("No");

            }
        } else {
            System.out.println("No");
        }
    }
}