Which of the following does list all the true statements below?

I. DNS is distributed database application implemented in a hierarchy of many name servers.

II$.$ DNS is an applicaiton layer protocol, even though it is a core internet functionality.

III. DNS has a centralized architecture.

IV$.$ DNS has $13$ logical root name servers distributed around the world.

V$.$ Top$-$Level Domain $($TLD$)$ servers are at the top of DNS server hierarchy.

VI$.$ Authoritative DNS Servers are organization$$s own DNS servers, providing authoritative hostname to IP mappings for organization$$s named hosts.