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: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ConsoleApp2
{
    class Program
    {
        static void Main(string[] args)
        {
            var input = GetLongNumArray();
            var X = input[0];
            var Y = input[1];

            for (int i = 0; i < X + 1; i++)
            {
                var count = 2 * (X - i) + 4 * i;
                if (count == Y)
                {
                    Console.WriteLine("Yes");
                    return;
                }
            }

            Console.WriteLine("No");
        }

        private static long[] GetLongNumArray()
        {
            var input = Console.ReadLine().Split(' ');
            return input.Select(x => long.Parse(x)).ToArray();
        }

        private static long GetLongNum()
        {
            return long.Parse(Console.ReadLine());
        }

        private static string[] GetStringArray()
        {
            return Console.ReadLine().Split(' ');
        }

        private static string GetString()
        {
            return Console.ReadLine();
        }
    }
}