The University of Universe has got a large set of consecutive IP addresses with prefix

$168\mathrm{.}125\mathrm{.}0\mathrm{.}0/16$ from the Internet Service Provider. The University allocates addresses to $3$ faculties, which are Arts, Science, and Health, who request $2000,6000,$ and $1000$ addresses, respectively. The requirements for the allocation are: $($i$)$ each faculty needs a subnet with a

block of consecutive addresses; $($ii$)$ the order of Arts, Science, and Health must be kept, which

means all the addresses of Arts must be before Science, and Science before Health; $($iii$)$ the

allocation should meet their needs, but also avoid allocating a huge subnet to a faculty, which

is significantly more than their needs.

How to assign addresses to these faculties? Use a table to show the allocation, give the prefix

$($in the format of x$.$y$.$z$/$n$),$ the last address, and the number of addresses of each block. Show

reasoning of your allocations in bullet points $(1-2$ sentences for each faculty$)?$