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.IO.Pipes;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace AtCoder.Abc
{
    class B_170_CraneAndTurtle
    {
        public static void Main(string[] args)
        {
            var sw = new System.IO.StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
            Console.SetOut(sw);

            // 整数配列の入力
            var nArray = Console.ReadLine().Split(' ').Select(i => long.Parse(i)).ToArray();

            long X = nArray[0];
            long Y = nArray[1];

            long tsuru = 0;
            long kame = X;

            bool flg = false;

            for (int i = 0; i <= X; i++, tsuru++, kame--)
            {
                if (tsuru * 2 + kame * 4 == Y)
                {
                    Console.WriteLine("Yes");
                    flg = true;
                    break;
                }
            }

            if (flg == false)
            {
                Console.WriteLine("No");
            }
            

            string result = "";

            Console.WriteLine(result);

            Console.Out.Flush();
        }
    }
}