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 i=sc.nextInt();
	    int j=sc.nextInt();
	    int flag=0;
	    if(i==1)
	    {
	    	if(j==4||j==2)
            {
	              System.out.print("Yes");
            }
	    }
	    else
	    {
	    for(int k=1;k<=i;k++)
	    {
	   
	      if(((k*2+(i-k)*4)==j)||((k*4+(i-k)*2)==j))
	      {
	        System.out.println("Yes");
	        flag=1;
	        break;
	      }  
	    } 
	    if(flag==0)
	    {
	      System.out.println("No");
	    }
	    }
	  }
	}