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: Wrong Answer)

#include <bits/stdc++.h> 
using namespace std; 

typedef long long ll;

int t = 1;

void solve() {
	int x, y; 
	cin >> x >> y;
	if (x == 1) {
		if (y == 2 || y == 4) {
			cout << "Yes" << endl;
		}else {
			cout << "No" << endl;
		}
		return;
	}
	
	
	if ((y-2)/4 == (x-1) || (y-4)/2 == (x-1)) {
			cout << "Yes" << endl;
	}else {
			cout << "No" << endl;
	}
}

int main() 
{ 
	ios::sync_with_stdio(0);
	cin.tie(0);
	freopen("data.in", "r", stdin);
	
	//cin >> t;
	while (t--) solve();
	
    return 0; 
}