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;
using System.Collections.Generic;
using System.Linq;

class Program {
    static void Main (string[] args) {
        var input = INP();
        int num = TOI(input[0]);
        int sousuu = TOI(input[1]);

        if(sousuu % 2 == 1) {
            CWL("NO");
            return;
        }

        int power = sousuu / 2;
        if(power > num*4) {
            CWL("NO");
            return;
        }

        CWL("YES");
    }

    public static List<int> PrimeFactors (int n) {
        var tmpList = new List<int>();
        int i = 2;
        int tmp = n;

        while(i * i <= n) {
            if(tmp % i == 0) {
                tmp /= i;
                tmpList.Add(i);
            } else {
                i++;
            }
        }

        if(tmp != 1) tmpList.Add(tmp);

        return tmpList;
    }

    static string[] INP () {
        return Console.ReadLine().Split(' ');
    }

    static void CWL (string value) {
        Console.WriteLine(value);
    }

    static void CWL (int value) {
        Console.WriteLine(value);
    }

    static void CWL (long value) {
        Console.WriteLine(value);
    }

    static void CWL (float value) {
        Console.WriteLine(value);
    }

    static void CWL (double value) {
        Console.WriteLine(value);
    }

    static int TOI (string str) {
        return int.Parse(str);
    }

    static long TOL (string str) {
        return long.Parse(str);
    }

    static float TOF (string str) {
        return float.Parse(str);
    }

    static double TOD (string str) {
        return double.Parse(str);
    }

    /*static void Main (string[] args) {
        var input = INP();
        var input2 = INP();
        var input3 = INP();

        CWL("dummy");
    }*/
}