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>
#define ll long long int
#define ss second
#define ff first
#define Mem(x,val) memset(x,val,sizeof x)
#define pb push_back
#define all(v) v.begin(),v.end()
#define unik(v)  v.erase(unique(v.begin(),v.end()),v.end())
#define cerr(x) cerr << __LINE__ << " th Line : " << #x << " = " << x << "\n"
#define debug(a,b) cerr << #a<<" = "<<a<<"   |   "<<#b<<" = "<<b<<'\n'
#define endl '\n'
#define SZ(a) ((int)a.size())
using namespace std;
typedef pair<int, int> pi32;
typedef pair<ll, ll> pi64;
typedef vector<int> vi32;
typedef vector<ll> vi64;
typedef vector<pi32> vp32;
typedef vector<pi64> vp64;
const ll mod = 1e9 + 7;
const int MX = 1e5+7;

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