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 <iostream>
#include <stdio.h>
#include <string.h>
#include <vector>
#include <math.h>
#define rep(i,n) for(int i=0; i < (n); i++)
using namespace std;
 
 
 
int main(){
  int x, y, turtle;
  cin >> x >> y;
  if(4*x<y || y%2==1){
    cout << "No" << endl;
    exit(0);
  }
  turtle=(y/2)-x;
  if(turtle>=0){
    cout<<"Yes"<<endl;
    exit(0);
  }else{
    cout << "No" << endl;
    exit(0);
  }
  
}