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)

#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#define rep(i,n) for(int i=0;i<n;i++)
#define cinf(n,x) for(int i=0;i<(n);i++)cin>>x[i];
#define ft first
#define sc second
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define all(v) (v).begin(),(v).end()
#define LB(a,x) lb(all(a),x)-a.begin()
#define UB(a,x) ub(all(a),x)-a.begin()
#define mod 1000000007
#define FS fixed<<setprecision(15)
using namespace std;
typedef long long ll;
const double pi=3.141592653589793;
template<class T> using V=vector<T>;
using Graph = vector<vector<int>>;
using P=pair<ll,ll>;
typedef unsigned long long ull;
typedef long double ldouble;
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }

const ll INF=1e18;
//abc170
int main(){
    cin.tie(0);ios::sync_with_stdio(false);
    ll x,y;
    cin>>x>>y;
    bool ok=1;
    
    if(2*x<=y&&y<=4*x){
        ok=1;
    }else{
        ok=0;
    }
    if(y%2==1) ok=0;
    if(ok) cout<<"Yes"<<endl;
    else cout<<"No"<<endl;
}
//ペナルティ出しても焦らない　ACできると信じろ！！！
//どうしてもわからないときはサンプルで実験　何か見えてくるかも
//頭で考えてダメなら紙におこせ！！
/*
V,P(大文字)使用不可
乗算などの際にオーバーフローに注意せよ！
(適切にmodをとれ　にぶたんで途中で切り上げろ)
制約をよく読め！
{
    ・全探索できるなら全探索しろ
    ・異常な制約ならそこに注目
}
stringの計算量(扱い)注意
コーナー注意！(特に数値が小さいものについては要検証)
N行出力のときは'¥n'
グリッド上では行先が範囲内におさまるかif文で確認(RE注意)
if文ではちゃんと比較演算子==を使え('='でもエラー出ない)
配列(vector)の大きさが0か1以上かで場合分けせよ(RE注意)
(vector<int> a(m)でm==0というものはできない)
modはなるべく最後に取れ！
doubleを扱うときには(abs)ではなく'fabs'!!!
*/