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.Linq;
using static System.Console;

namespace B
{
    internal class Program
    {
        public static void Main(string[] args)
        {
            var input = ReadLine().Split(' ').Select(double.Parse);
            var x = input.First();
            var y = input.Last();
            var a = 2.0 * x - y * .5;
            var b = -x + y * .5;
            if (a < 0 || b < 0)
            {
                WriteLine("No");
                return;
            }

            if ((int) (a + b) == (int) x && (int) (2 * a) + (int) (4 * b) == (int) y)
            {
                WriteLine("Yes");
                return;
            }
            else
            {
                WriteLine("No");
                return;
            }
        }
    }
}