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)

/*
 * atcoder/abc170/b.cpp
 */

// C++ 14
#include <iostream>
#include <vector>
#include <algorithm>
#include <cmath>
#include <cstring> // memset
#include <cassert>
using namespace std;
#define ll long long
#define loop(__x, __start, __end) for(int __x = __start; __x < __end; __x++)
template <class T> ostream & operator << (ostream & out, vector<T> const & v) {
  for (auto &&a: v) out << a << " "; out << endl; return out;
}
template <class T> void dump(T &a) { cout << a << endl; }
void solve();
int main() { solve(); return 0; }


void solve() {
  int x, y;
  cin >> x >> y;
  if (y%2==1){
    cout << "No" << endl;
    return;
  }
  int b = (y/2) - x;
  if (b < 0) {
    cout << "No" << endl;
    return;
  }

  int a = 2 * x - (y / 2);
  if (a < 0) {
    cout << "No" << endl;
    return;
  }

  cout << "Yes" << endl;
}