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++ (GCC 9.2.1) (judge verdict: Accepted)

#include<iostream>
#include<algorithm>
#include<vector>
#include<set>
#include<map>
#include<math.h>

using namespace std;


int main()
{
	
	int X, Y;
	cin >> X >> Y;
	
	int a, b;
	
	if(Y % 2 != 0){
		cout << "No" << endl;
		return 0;
	}
	else{
		a = 2 * X - Y / 2;
		b = Y / 2 - X;
	
		if(a >= 0 && b >= 0){
			if(a == 0 && b == 0){
				cout << "No" << endl;
				return 0;
			}
			else{ 
				cout << "Yes" << endl;
				return 0;
			} 
		}
		else{
			cout << "No" << endl;
			return 0;
		}	
	}
	

}