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.IO;
using System.Linq;
using System.Collections.Generic;
using System.Text;
using System.Numerics;

namespace abc170
{
    class Program
    {
        static void Main(string[] args)
        {
            Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
            if (File.Exists("input.txt"))
            {
                Console.SetIn(new StreamReader("input.txt"));
            }
            solve_abc170B();
            Console.Out.Flush();
        }

        public static void solve_abc170B()
        {
            int[] xy = Array.ConvertAll(Console.ReadLine().Split(), int.Parse);
            int x = xy[0];
            int y = xy[1];
            int a = (y - (2 * x)) / 2;
            int b = x - a; 
            if (a >= 0 && b >= 0 && a + b == x)
            {
                Console.WriteLine("Yes");
            }
            else
            {
                Console.WriteLine("NO");
            }
        }

        public static void solve_abc170A()
        {
            int[] x = Array.ConvertAll(Console.ReadLine().Split(), int.Parse);
            for (int i = 0; i < x.Length; i++)
            {
                if (x[i] == 0)
                {
                    Console.WriteLine(i + 1);
                    break;
                }
            }
        }
    }
}