You are given a private IP range $10\mathrm{.}0\mathrm{.}0\mathrm{.}0/16$ for internal networks $($LANs$)$ of a company. You must use Variable Length Subnet Mask $($VLSM$)$ methodology to design a network addressing scheme for the layout below. The network topology shown in the Figure consists of five $(5)$ blocks: office, store, playground, laboratory and library. The numbers of hosts $($devices$)$ requirements are also stated in the Figure.

Apart from traditional ways of calculation, you are also suggested to use Copilot $($on Windows $10/11),$ ChatGPT or other similar GenAI tools to get the answers below. In order to verify your answers either by manual calculation or by AI tools correctly, you should apply the data obtained to a topology template on Cisco packet tracer and fine tune the answer$($s$)$ if there is any issue found.

$1)$ Label the five LAN subnets required for VLSM design and estimate the subnet size required for each location. Please take note that one host IP is one IP address that assigns to interface of a device.