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Given an IGiB file subdivided into 262144 pages with records of 512B size, calculate the costs for each of the three file structures

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Exercise 3: Data Access

(a) Given an IGiB file subdivided into 262144 pages with records of 512B size, calculate the costs for each of the three file structures I) heap file, 2) sorted file, and 3) hashed file and the following operations. Assume that files are sortedlhashed on primary key attribute A and assume D=l5ms, C=H=O.lus.

i Searching for A = 42.

ii. Inserting a record.

(b) Assume pages of size p = 4096B, index entries (on leaf pages) of size k* 1158, page pointers of size pp 64bit, and separator keys of size sk Ikil 238. Note, that for practical reasons leaf nodes can have a different maximum number of entries than inner nodes - otherwise, the index would waste space in leaves or would not be able to store all entries on a given page.

Given the above storage sizes, compute

i. the maximum possible order d of the B. tree, and

ii. the maximum possible number of index entries in a leaf page.

(c) Given the following tree, perform each instruction i)-üi) on the original tree. For the search, state which pages get accessed, and for insertions/deletions show the resulting tree.

ii. Insert entry with key = 13 (without redistribution).

iii. Insert entry with key = 23 (without redistribution).

iv. Delete the entries corresponding to the following keys in the shown sequence 14. 19,20,22,24

(show the resulting tree at the end). Use redistributionlmerging on right sibling (if it exists).

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