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: Wrong Answer)

#include<bits/stdc++.h>
using namespace std;
#define start ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define f(i, a, n) for( i=a; i<n;i++)
const int N = (int)(1*1e6+10);
typedef long long ss;
int main()
{
   int i,j,n,m;
   cin>>n>>m;
   if(m%2==1)
   {
       cout<<"NO"<<endl;
       return 0;
   }
   if(n*4>=m)
   {
       cout<<"YES"<<endl;
       return 0;
   }
   cout<<"NO"<<endl;
   return 0;
}