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Exercise 10.8 Assume that you have just built a dense B+ tree index using Alternative (2) on a heap file containing 20,000 records. The key field for this B+ tree index is a 40-byte string, and it is a candidate key. Pointers (Le., record ids and page ids) are (at most) 10
1. How many levels does the resulting tree have?
2. For each level of the trec, how many nodes are that level?
How many levels would the resulting tree have if key compression is llsed and it reduces the average size of each key in an entry to 10 bytes?
sid name login age gpa
53831
Maclayall
maclayan@music
11
1.8
53832
Guldu
guldu@music
12
3.8
53666
Jones
18
3.4
53901
53902
jones@physics
53903
53904
jones(ggenetics
53905
jones@astro
53906
jones@chem
53688
Smith
smith@ee
19
3.2
53650
smith@math
54001
3.5
54005
smith@cs
54009
2.2
Figure 10.30 An Instance of the Students Relation
4. How many levels would the resulting tree have without key compression but with all pages 70 percent full?
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