Kids Seating

Today the kindergarten has a new group of $$$n$$$ kids who need to be seated at the dinner table. The chairs at the table are numbered from $$$1$$$ to $$$4n$$$. Two kids can't sit on the same chair. It is known that two kids who sit on chairs with numbers $$$a$$$ and $$$b$$$ ($$$a \neq b$$$) will indulge if:

1. $$$gcd(a, b) = 1$$$ or,
2. $$$a$$$ divides $$$b$$$ or $$$b$$$ divides $$$a$$$.

$$$gcd(a, b)$$$ — the maximum number $$$x$$$ such that $$$a$$$ is divisible by $$$x$$$ and $$$b$$$ is divisible by $$$x$$$.

For example, if $$$n=3$$$ and the kids sit on chairs with numbers $$$2$$$, $$$3$$$, $$$4$$$, then they will indulge since $$$4$$$ is divided by $$$2$$$ and $$$gcd(2, 3) = 1$$$. If kids sit on chairs with numbers $$$4$$$, $$$6$$$, $$$10$$$, then they will not indulge.

The teacher really doesn't want the mess at the table, so she wants to seat the kids so there are no $$$2$$$ of the kid that can indulge. More formally, she wants no pair of chairs $$$a$$$ and $$$b$$$ that the kids occupy to fulfill the condition above.

Since the teacher is very busy with the entertainment of the kids, she asked you to solve this problem.