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: Time Limit Exceeded)

using System;

namespace AtCoder
{
  public class Program
  {
    static void Main(string[] args)
    {
      string[] input = Console.ReadLine().Split(' ');
      int x = int.Parse(input[0]);
      int y = int.Parse(input[1]);
      int result = 0;
      int turu = x;
      int kame = 0;

      if (y % 2 != 0)
      {
        Console.Write("No");
      }

      while(true)
      {
        for (int i=0; i<turu; i++)
        {
          result = y - 2;
        }
        for (int j=0; j<kame; j++)
        {
          result = y - 4;
        }
        if (result == 0)
        {
          Console.Write("Yes");
        }
        kame = kame + 1;
        turu = turu - 1;
      }
      if (result != 0)
      {
        Console.Write("No");
      }
    }
  }
}