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;

class Program {

    static void Main (string[] args) {
        string[] strtemp = Console.ReadLine ().Split (' ');
        int X = int.Parse (strtemp[0]);
        int Y = int.Parse (strtemp[1]);
        if (Y - 2 * X >= 0 && (Y - 2 * X) % 2 == 0 && 4 * X - Y >= 0 && (4 * X - Y) % 2 == 0) {
            Console.WriteLine ("Yes");
        } else {
            Console.WriteLine ("No");
        }
    }

}

//dotnet run --project test