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)

#define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
#define all(v) v.begin(), v.end()
#define rep(i, n) for (ll i = 0; i < (ll)(n); i++)
#define Rep(n) for (ll _ = 0; _ < (ll)(n); _++)
#define P pair<ll,ll>
#define fs first
#define sc second

template<class S>S sum(vector<S>&a){return accumulate(all(a),S());}
template<class S>S max(vector<S>&a){return *max_element(all(a));}
template<class S>S min(vector<S>&a){return *min_element(all(a));}
ll max(int a,ll b){return max((ll)a,b);} ll max(ll a,int b){return max(a,(ll)b);}
ll min(int a,ll b){return min((ll)a,b);} ll min(ll a,int b){return min(a,(ll)b);}
template <class S> void print(vector<S> &v){for(ll i=0; i<(ll)v.size(); i++){cerr << v[i] << ' ';}cerr << endl;}
template <class S> void print(vector<vector<S>> &v) {for (ll i = 0; i < (ll)v.size(); i++) {for (ll j = 0; j < (ll)v[i].size(); j++) {cerr << v[i][j] << ' ';}cerr << endl;}}

int main(){
	int x,y; cin >> x >> y;
	rep(t, x+1){
		int k = x-t;
		if(t*2 + k*4 == y){
			cout << "Yes\n";
			return 0;
		}
	}
	cout << "No\n";
}