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;

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;
      int num_turu = 0;
      int num_kame = 0;
      int cnt = 0;
      bool judge = false;

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