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;

namespace aziz
{
    class Program
    {
        static int calculateTurtle(int X, int Y)
        {
            int sum = 0; 
            sum = (Y) - 2 * (X); 
            sum = sum / 2; 
            return sum; 
        }
        
        static void Main(string[] args)
        {
            String[] XY = Console.ReadLine().Split(' ');
            int X = int.Parse(XY[0]);
            int Y = int.Parse(XY[1]);
            int turtle = calculateTurtle(X, Y); 
            int crane = X - turtle;
            
            if (turtle < 0 || crane < 0)
            {
                Console.WriteLine("No");
            }
            else if (X == 1 && Y % 2 != 0)
            {
                Console.WriteLine("No");
            }
            else if (X % 2 != 0 && Y % 2 != 0)
            {
                Console.WriteLine("No");
            }
            else if (X == 1 && Y == 4)
            {
                Console.WriteLine("Yes");
            }
            else
            {
                Console.WriteLine("Yes");
            }
        }
    }
}