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<algorithm>
#include<stdlib.h>
#include<utility>
#include<functional>
#include<cfenv>
#include<cmath>
#include<string>
#include<queue>
#include<stack>
#include<map>
#include<set>

#define rep(i,n) for(int (i)=0;(i)<(n);(i)++)
#define vint vector<int>
#define vvint vector<vint>
#define P pair<ll,ll>
#define INT_MAX 2147483647
#define MOD 1000000007
#define PI 3.14159265358979323846
#define all(a) (a).begin(),(a).end()
using namespace std;
typedef long long ll;

#define MAX 1000000000000


int main(void) {
	int x, y; cin >> x >> y;
	
	if ((y - 2 * x) % 2 == 0 && y - 2 * x >= 0) {
		if ((4 * x - y) % 2 == 0 && 4 * x - y >= 0) {
			cout << "Yes" << endl;
			return 0;
		}
	}
	cout << "No" << endl;
	return 0;
}