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; // ll  is 64bit same as double

int main() {
	
	// make input and output more efficient
	ios::sync_with_stdio(0);
	cin.tie(0);
	
	int x, y;
	
	cin >> x >> y;
	
	if(y<=x) {
		cout << "No\n";
		return 0;
	}
	
	for(int i = 0; i <= x; i++) {
		for(int j = x-i; j>=0; j--) {
			if(y == 2*i + 4*j){
				cout << "Yes\n";
				return 0;
			}
		}
	}
				
	cout << "No\n";
	
	return 0;
}