Assume one file has r =1000000 records. Each record takes R = 100 bytes, of which 10 bytes are for the key of the record. Suppose the key values range from 1 through 1,000,000, inclusive. Assume the block size B is 1000 bytes for all files, and that an address (block pointer, tree node pointer, or data record pointer) takes 10 bytes.

1. Sequential file:
a. What is the blocking factor bfr for the file?
b. How many data blocks b are needed to hold records?
c. How many data blocks accesses on the average are needed to fetch a record by using linear search?
d. How many data blocks accesses are needed to fetch a record by using binary search?
2. Single Level Index: (15 points)
e. What is the blocking factor bfri for the index?
f. How many index blocks bi are needed to build the single level primary index?
g. How many block accesses on the average are needed to fetch a record by using single level primary index and by doing linear search?
h. What is the least number of block accesses to fetch a record by using single level primary index?