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 1.8.0) (judge verdict: Wrong Answer)

import java.util.Scanner;
public class Main {
	public static void main(String[] args) {
		Scanner in = new Scanner(System.in);
      
     	int X = in.nextInt();
      	int Y = in.nextInt();
      	int a = 0;
      	int b = X;
      	int ans = 0;
      	int sec = 0;
      
      if(X>=1&&X<=100&&Y>=1&&Y<=100){
        for(int i=0;i<X+1;i++){
          	a = a+1;
    		b = X-a;
        	if(2*a+4*b==Y){
         	 ans = 1;
             sec = 1;
       		}else{
             ans = 0;
            }
        }
        if(sec==1){
          System.out.println("Yes");
        }else if(ans==0){
          System.out.println("No");
        }
      }
      
      
    }
}