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# (Mono-csc 3.5.0) (judge verdict: Wrong Answer)

using System;

namespace B
{
    class Program
    {
        static void Main(string[] args)
        {
            string[] input = Console.ReadLine().Split(" ");
            int X = int.Parse(input[0]);
            int Y = int.Parse(input[1]);
            string ans = "No";
            for (int k = 1; k < 100; k++)
            {
                for (int t = 1; t < 100; t++)
                    if (k + t == X && 2 * k + 4 * t == Y)
                    {
                        ans = "Yes";
                        break;
                    }
            }
            Console.WriteLine(ans);
        }
    }
}