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: Runtime Error)

using System;
class Program
{
	static void Main(string[] args)
	{
		// スペース区切りの整数の入力
		string[] input = Console.ReadLine().Split(' ');
		int b = int.Parse(input[0]);
		int c = int.Parse(input[1]);
        int d = int.Parse(input[2]);
      	int e = int.Parse(input[3]);
        int f = int.Parse(input[4]);
		
      	if(b == 0){
        	Console.WriteLine(1);
        }else if(c == 0 ){
          	Console.WriteLine(2);
        }else if(d == 0 ){
          	Console.WriteLine(3);
        }else if(e == 0 ){
          	Console.WriteLine(4);
        }else if(f == 0 ){
          	Console.WriteLine(5);
        }

	}
}