Suppose we are building a B-Tree. Pages are 4008 bytes. A key value takes 8 bytes, and a pointer to a tree node or a record takes 8 bytes. a) What is the maximum number of keys in each node? b) Calculate the maximum number of pages N, which can be indexed with anindex file with height, h=2 and m keys (m is calculated in part a)? c) How many I/O operations are required for searching through N pages using a sorted file (N is calculated in part b)?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Suppose we are building a B-Tree. Pages are 4008 bytes. A key value takes 8 bytes, and a pointer to a tree node or a record takes 8 bytes.

a) What is the maximum number of keys in each node?

b) Calculate the maximum number of pages N, which can be indexed with anindex file with height, h=2 and m keys (m is calculated in part a)?

c) How many I/O operations are required for searching through N pages using a sorted file (N is calculated in part b)?.

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