In a 64-bit computer system that uses pure paging with 16KB page size, if each page table entry is 4 bytes long then: i. What is the maximum size of a page table? ii. What is the maximum size of user-space main memory that can be supported by this scheme? iii. If hierarchical paging is used then what is the total level of hierarchies required? Assume that 2-level of hierarchy corresponds to an outer page table and an inner page table. Show all relevant calculations. iv. If the inverted paging scheme is used instead of paging, with a 16KB page/frame size, then what is the maximum size of the inverted page table considering the same memory size calculated in (ii above? Assume that each entry of the inverted page table is 4 bytes long