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 <bits/stdc++.h>
using namespace std;
using ll=long long;
using ld=long double;
using ii=pair<ll,ll>;
using vi=vector<ll>;

#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define INF (ll)1e18
#define all(x) (x).begin(),(x).end()
#define print(a); for(auto x:a)cout<<x<<" "; cout<<"\n";
#define mset(a); memset(a,0,sizeof(a));

int main(){
	ios_base::sync_with_stdio(0);cin.tie(0);
	ll x,y;cin>>x>>y;
    if(y>=2*x&&y<=4*x&&y%2==0)cout<<"Yes\n";
    else cout<<"No\n";

}