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.Drawing;
using System.Linq;
using System.Security.Policy;

class Program3
{
	static void Main() => new Program3().Solve();

	void Solve()
	{
		var xy = ReadLongArray();
		var x = xy[0];
		var y = xy[1];

		for (var a = 0; a <= x; a++) {
			if (y == a * 2 + (x - a) * 4) {
				Console.WriteLine("Yes");
				return;
			}
		}

		Console.WriteLine("No");
	}

	#region Console.Read 関係
	long[] ReadLongArray() => Array.ConvertAll(Console.ReadLine().Split(), long.Parse);
	long ReadLong() => long.Parse(Console.ReadLine());
	#endregion
}