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.Linq;
using System.Collections.Generic;

namespace ConsoleApp1 {
    public class Class {
        static void Main(string[] args) {
            var XY = RL<int>();
            for(var x = 0; x <= XY[0]; x++) {
                for(var y = 0; y <= XY[0] - x; y++) {
                    if (x * 2 + y * 4 == XY[1] && x + y == XY[0]) {
                        Console.Write("Yes");
                        return;
                    }
                }
            }
            Console.Write("No");
        }

        static T[] RL<T>() where T : IComparable {
            if (typeof(T) == typeof(int)) {
                return (T[])(object)Console.ReadLine().Trim().Split().Select(int.Parse).ToArray();
            }
            if (typeof(T) == typeof(long)) {
                return (T[])(object)Console.ReadLine().Trim().Split().Select(long.Parse).ToArray();
            }
            if (typeof(T) == typeof(double)) {
                return (T[])(object)Console.ReadLine().Trim().Split().Select(double.Parse).ToArray();
            }
            if (typeof(T) == typeof(decimal)) {
                return (T[])(object)Console.ReadLine().Trim().Split().Select(decimal.Parse).ToArray();
            }
            return (T[])(object)Console.ReadLine().Trim().Split().ToArray();
        }
    }
}