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 C# (.NET Core 3.1.201) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;
class Program
    {
        static void Main(string[] args)
        {

            var input = Console.ReadLine().Split(' ');

            int x1 = int.Parse(input[0]);
            int x2 = int.Parse(input[1]);
            double turu =0;
            double kame =0;
 
          turu = 2 * x1 - 0.5 * x2;  
           kame = -x1 + x2/2;
           if((int)kame==kame && kame<=x1 && kame>0)
           {Console.WriteLine("Yes");}
          else if((int)turu == turu && turu<=x1 && turu >=0 && kame == 0)
             Console.WriteLine("Yes");
          else if ((int)kame==kame && kame<=x1 && kame>0 && turu ==0)
            Console.WriteLine("Yes");
          else
           Console.WriteLine("No");

}
}