I’m working on a Computer Science writing question and need support to help me study.
Let relations r(A, B, C) have the following properties: 40 GB file size, block size is 4KB, each block stores 40 records.
Assume A is a key attribute, and B is a non-key attribute, the number of distinct values on B equals the number of tuples divided by 100.

Assume the fanout of the node for B+ tree is 100 (n=100). There are two dense indices, i.e., the index on A has the same number of index entries as the number of tuples in r, and the index on B has the same number of entries as the number of distinct values on B.
Assume the average disk seek time is 5 milliseconds, and the block transfer time is 0.1 milliseconds.
Select with an equality condition on the attribute A or B. v1 and v2 are the lookup values on A and B, respectively. For the selection on B=v2, there are 100 matching tuples.

Answer the following questions.

How many tuples are there in relation r?
What are the heights of trees for indices on A and B, respectively?
Suppose the selection on A=v1, and relation r is sorted on attribute A.
Suppose the selection on A=v1, and relation r is sorted on attribute B.
Suppose the selection on B=v2, and relation r is sorted on attribute B.
Suppose the selection on B=v2, and relation r is sorted on attribute A.
Suppose the selection on A=v1, and relation r is not sorted.
Suppose the selection on B=v2, and relation r is not sorted.

For the following selection operations, consider which selection algorithm applies for each case, and find the number of block transfers, the number of seeks, and the cost, respectively:
Please also fill your answers for questions c-h in the table below.

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