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;
using System.Collections.Generic;
using System.ComponentModel;
using System.ComponentModel.Design;
using System.IO.Compression;
using System.Linq;
using System.Numerics;
using System.Text;
using Console = System.Console;

namespace Atcoder
{
    class Program
    {
        private const long COMDIV = 1000000007;

        static void Main(string[] args)
        {
            var XY = Console.ReadLine().Split().Select(int.Parse).ToArray();
            for (int i = 0; i <= XY[0]; i++)
            {
                var twoLeg = i;
                var fourLeg = XY[0] - i;
                if (twoLeg * 2 + fourLeg * 4 == XY[1])
                {
                    Console.WriteLine("Yes");
                    return;
                }
            }

            Console.WriteLine("No");
        }
    }
}