Consider a single file holding server with one mechanical hard disk $($spinning with a read$-$write head$).$

Among the methods of allocating space to files: contiguous, linked list, index $($I$-$NODE$)$offered the most efficient method for holding files in terms of:

A$.$Utilization of space

B$.$ Access speed

Take into account the possibility of dividing the disk into partitions $($PARTITIONS$).$ Indicate the characteristics of the file systems that affect efficiency in relation to the question and a preferred place to store a file.

Address differences in file length and frequency and nature of file updates.