If we can assume that the keys in the list have been arranged in order (for example, numerical or alphabetical order), then we can terminate unsuccessful searches more quickly. If the smallest keys come first, then we can terminate the search as soon as a key greater than or equal to the target key has been found. If we assume that it is equally likely that a target key not in the list is in any one of the n + 1 intervals (before the first key, between a pair of successive keys, or after the last key), then what is the average number of comparisons for unsuccessful search in this version?

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
Section: Chapter Questions
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If we can assume that the keys in the list have been arranged in order (for
example, numerical or alphabetical order), then we can terminate unsuccessful
searches more quickly. If the smallest keys come first, then we can terminate
the search as soon as a key greater than or equal to the target key has been
found. If we assume that it is equally likely that a target key not in the list is in
any one of the n + 1 intervals (before the first key, between a pair of successive
keys, or after the last key), then what is the average number of comparisons
for unsuccessful search in this version?

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