Some file systems allow disk storage to be allocated at different levels of granularity. for instance, a file system could allocate 8 kb of disk space as a single 8-kb block or as sixteen 512-byte blocks. how could we take advantage of this flexibility to improve performance? what modifications would have to be made to the free-space management scheme in order to support this feature? 12.2 consider a file system on a disk that has both logical and physical block sizes of 512 bytes. assume that the information about each file is already in memory. for each of the three allocation strategies (contiguous, linked, and indexed), answer these questions: how is the logical-to-physical address mapping accomplished in this system? (for the indexed allocation, assume that a file is always less than 512 blocks long.) b. if we are currently at logical block 12 (the last block accessed was block 12) and want to access logical block 3, how many physical blocks must be read from the disk?