Please help answer both parts to question 5:

Question 5 2 points Assume we have a heap file A implemented with a page directory. One page in the directory can hold 16 page entries. There are 54 pages in file A in total. In the worst case, how many IOs are required to find a page with free space? In the worst case, how many los are required to write a record to a page with free space (assuming at least one free page exists)