For the following questions, consider a system that has a physical main memory size of $32KB(2^{15})$ and a page frame size $($and hence page size$)$ of $4KB(2^{12}).$ Assume that the system uses pure demand paging and that the system supports up to $16-$bit logical$/$virtual addresses. Assume that a process P$2$ with a logical address space of $64KB(2^{16})$ executes on this system. Assume that the current state of the page table for P$2$ in as shown below. The index of each entry in the page table is given for your convenience. Note that both the page and page frame number are in decimal. If a logical page is not currently in the physical main memory, no frame number is specified for that logical page.