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6. [10pt] A database uses B+ Tree to build an index on a search key. Assume that a page stores only one B+ Tree node.

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6. [10pt] A database uses B+ Tree to build an index on a search key. Assume that a page stores only one B+ Tree node. Each node can store at most N keys. (1) What is the maximal number of records we can index if the B+ tree has 3 levels? (2) To search a record with this index, how many IO read is required

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