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# (Mono-csc 3.5.0) (judge verdict: Wrong Answer)

using System;

class B{
  public static void Main(){
    string[] Ar = Console.ReadLine().Split(' ');
    bool ans = false;
    for (int i = int.Parse(Ar[0]);i >= 0 ;i--){
      for (int j = 0; j <= int.Parse(Ar[0]); j++){
        int TuAsi = i * 2;
        int KaAsi = j * 4;
        int Ashi = TuAsi + KaAsi;
        if (Ashi == int.Parse(Ar[1])){
          ans = true;
        }
      }
    }
    if (ans == true) Console.WriteLine("Yes");
    else Console.WriteLine("No");
  }
}