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: Wrong Answer)

using System;

namespace ForAtcoder
{
    class Program
    {
        static void Main(string[] args)
        {
            var arg = Console.ReadLine().Split(" ");
            var x = long.Parse(arg[0]);
            var y = long.Parse(arg[1]);
            for (var i = 1; i <= 100; i ++)
            {
                for (var j = 1; j <= 100; j++)
                {
                    if (i + j == x && 2 * i + 4 * j == y)
                    {
                        Console.WriteLine("Yes");
                        goto END;
                    }
                    if (i == 100 && j == 100) Console.WriteLine("No");
                }
            }
            END:;
        }
    }
}