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# A PARTS file with Part# as the key field includes records with the following Part# values:

A PARTS file with Part# as the key field includes records with the following Part# values: 23, 65, 37, 60, 46, 92, 48, 71, 56, 59, 18, 21, 10, 74, 78, 15, 16, 20, 24, 28, 39, 43, 47, 50, 69, 75, 8, 49, 33, 38. Suppose that the search field values are inserted in the given order in a B+-tree of order p = 4 and Pleaf = 3.

(a) Show how the tree will expand and what the final tree will look like.

[3 marks]

(b) Delete the following values: 65, 75, 43, 18, 20, 92, 59, 37. Show how the tree will shrink (in the given order) and show the final tree.

[2 marks]

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