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.Diagnostics;
using System.Linq;


namespace ConsoleApp1
{
    class Program
    {
        static void print(string s)
        {
            Console.WriteLine(s);
        }

        static string scan()
        {
            return Console.ReadLine();
        }

        static void Main(string[] args)
        {
            int x, y;
            string[] lineArray = scan().Split(" ");
            x = int.Parse(lineArray[0]);
            y = int.Parse(lineArray[1]);
            int i = 0;
            for (i = 0; i < x; i++) 
            {
                if (i * 2 + (x - i) * 4 == y) 
                {
                    i = 999;
                }
            }
            if (i >= 999) 
                print("Yes");
            else
                print("No");
        }
    }
}