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;
import java.util.ArrayList;
 
public class Main {
    public static void main(String[] args) {
        Scanner scan = new Scanner(System.in);
      ArrayList<String> list = new ArrayList<String>();
      int x_1,x_2,x_3,x_4,x_5;
      int i = 0;
      String an = scan.nextLine();
      String atai[] = an.split(" ",0);
      int num[] = new int[2];
      while(i < 2){
        num[i] = Integer.parseInt(atai[i]);
        i++;
      }
      x_1 = num[0];
      x_2 = num[1];
//      System.out.println(A+","+B+","+H+","+M);
      check(num);
        scan.close();
    }
  
  public static void check(int[] num){
   //System.out.println(num[0]);
    int X, Y;
    int s;
    X = num[0];
    Y = num[1];
     s= Y%2;
    if(X*4 < Y){
      System.out.println("No");
    }else if( s != 0){
      System.out.println("No");
    }else if(X*2 > Y){
      System.out.println("No");
    }else{
      System.out.println("Yes");
    }
   return;  
  }
}