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.Generic;
using System.Text;

namespace AtCoder.ABC170
{
    public class Problem2
    {
        public static void Main(string[] args)
        {
            var input = Console.ReadLine().Split(" ");

            var X = decimal.Parse(input[0]);

            var Y = decimal.Parse(input[1]);

            var answer = "No";

            if (Y % 2 != 0)
            {
                Console.WriteLine(answer);

                return;
            }

            var k = (Y - (2 * X)) / 2;

            var t = (2 * X) - (Y / 2);

            if (k >= 0 && t >= 0 && k - (int)k == 0 && t - (int)t == 0)
            {
                answer = "Yes";
            }

            Console.WriteLine(answer);
        }
    }
}