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++ (Clang 10.0.0) (judge verdict: Accepted)

# include <cstdio>
# include <iostream>
# include <vector>
# include <map>
# include <set> 
# include <algorithm> 
# include <string>
# include <cstring>
# include <queue> 
# include <stack> 
# include <cstdlib> 

using namespace std ; 

int main()
{
	int x, y ; 
	cin >> x >> y ; 

	if(y < 2*x)
	{
		cout << "No\n" ; 
		return 0 ; 
	}
	if((y-2*x)%2)
	{
		cout <<  "No\n" ;
		return 0 ; 
	}
	int c = x - (y-2*x)/2 ; 
	if(c<0){
		cout <<  "No\n";
		return 0 ; 
	}
	cout << "Yes\n"; 

	// cout << "Hello World\n" ; 
	return 0 ; 
}