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>
#define pb push_back
#define getarray(a,n)  for(int i=0;i<n;i++) cin>>a[i]
#define ll long long
#define fast  ios_base::sync_with_stdio(false);cin.tie(NULL);
#define vi vector<int>
using namespace std;
int main()
{
	fast
	int a,b;
	cin>>a>>b;
	if(a==0||b==0)
	{
		cout<<0;
		return 0;
	}
	
	int p=((b/2)-a);
	if(p<=a)
	{
		cout<<"Yes";
	}
	else
	{
		cout<<"No";
	}
}