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 sc = new Scanner(System.in);
     int a = sc.nextInt();
     int b= sc.nextInt();
     
    
     int min= a*2;
     int max = a*4;
     if(b>max){
          System.out.println("No");
     }else if(b<min){
          System.out.println("No");
     }
     else {
     boolean  ok =false;
     for(int i = min;i<=max;i++){
         if(a%2==0){
             if(b==i){
                 ok=true;
                 break;
             }
         }
     }
     if(ok){
         System.out.println("Yes");
     }else{
         System.out.println("No");
     }
    }
        
    }
}