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.Scanner;

/**
 * B - Crane and Turtle
 * 庭に何匹かの動物がいます。
 * これらはそれぞれ、2 本の足を持つ鶴か 4 本の足を持つ亀のいずれかです。
 * 高橋くんは、「庭の動物の総数は X 匹で、それらの足の総数は Y 本である」と発言しています。
 * この発言が正しいような鶴と亀の数の組合せが存在するか判定してください。
 */
public class Main {

    public static void main(String[] args) {

        Scanner sc = new Scanner( System.in );
        // 入力値
        int x = sc.nextInt();
        int y = sc.nextInt();
        int result = ( x * 4 - y ) % ( 4 - 2 );
        System.out.println( result == 0 && result >= 0 ? "Yes" : "No" );

        sc.close();
    }
}