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;

namespace CSharpSample01
{
	class Program
	{

		static void Main(string[] args)
		{
			var valueList = Console.ReadLine().Split(' ').Select(long.Parse).ToArray();
			var X = valueList[0];
			var Y = valueList[1];
			var flag = false;
			for(int i = 0;i <= X; i++)
			{
				var answer = (2 * i) + (4 * (X - i));
				if (Y == answer){
					flag = true;
					break;
				}
			}

			if (flag)
			{
				Console.WriteLine("Yes");
			}
			else
			{
				Console.WriteLine("No");
			}

		}
	}
}