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>
#include <stdio.h>
#include <string.h>
#define rep(i,n) for (int i=0; i<n; i++)
using namespace std;
using ll = long long;
using ld = long double;
using P = pair<int, int>; 

ll a,b,c,d,n,m,k;

string s;

int main() {
	cin.tie(0);
  ios::sync_with_stdio(false);
  
  ll x,y;
  cin>>x>>y;

  rep(i,x+1){
    rep(j,x-i+1){
      if(i*2+j*4 == y){
        cout<<"Yes";
        return 0;
      }
    }
  }
  cout<<"No";

  return 0;
}