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.Linq;

namespace x
{
    class Program
    {
        static void Main(string[] args)
        {
            var (animalCount, legCount) = IOUtils.Read2Ints();

            // var tsuruCount = ((decimal)legCount - 4 * (decimal)animalCount) / (-2);
            // if (tsuruCount % 1 == 0 && tsuruCount >= 0) {
            //     System.Console.WriteLine("Yes");
            // } else {
            //     System.Console.WriteLine("No");
            // }

            var kame = (legCount - (2 * animalCount)) / (decimal)2;
            if (kame % 1 == 0 && kame >= 0 && kame <= animalCount) {
                System.Console.WriteLine("Yes");
            } else {
                System.Console.WriteLine("No");
            }

        }
    }
    
    static class IOUtils
    {
        public static (int a, int b) Read2Ints()
        {
            var vals = ReadInts();
            return (vals[0], vals[1]);
        }
        public static (int a, int b, int c) Read3Ints()
        {
            var vals = ReadInts();
            return (vals[0], vals[1], vals[2]);
        }
        public static IEnumerable<int[]> ReadIntLines(int count)
        {
            for (int i = 0; i < count; i++)
            {
                yield return ReadInts();
            }
        }
        public static IEnumerable<long[]> ReadLongLines(int count)
        {
            for (int i = 0; i < count; i++)
            {
                yield return ReadLongs();
            }
        }
        public static int ReadInt()
        {
            return int.Parse(Console.ReadLine());
        }
        public static long ReadLong()
        {
            return long.Parse(Console.ReadLine());
        }
        public static ulong ReadUlong()
        {
            return ulong.Parse(Console.ReadLine());
        }
        public static int[] ReadInts()
        {
            return Console.ReadLine().Split(' ').Select(v => int.Parse(v)).ToArray();
        }
        public static long[] ReadLongs()
        {
            return Console.ReadLine().Split(' ').Select(v => long.Parse(v)).ToArray();
        }

        public static void WriteNums(params int[] nums)
        {
            Console.WriteLine(string.Join(" ", nums));
        }
    }
}