please solve: The University of Stars 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$.$a$/$n$),$ the last address, and the number of addresses of each block. Also calculate the remaining IP address and allocate them to one block only with respect to hierarchal rules, meaning that remember the organization subnet is $/16.$