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 <vector>
#include<string>
#include <set>
#include <map>
#include <algorithm>
#include <math.h>
using namespace std;
int main()
{
	int X;
	int Y;
	cin >> X >> Y;
	int two_Leg = X * 2;
	int four_Leg = X * 4;
	
	if(Y % 2 != 0){
		std::cout << "No" << endl; 	
		return 0;
	}
	
	if(two_Leg <= Y && four_Leg >= Y){
		std::cout << "Yes" << endl; 	
		return 0;
	}else{
		std::cout << "No" << endl; 	
		return 0;
	}
	
}