1. Given the following hash function for storing records on courses: f(title) = ASCII value of first character in the title - 64 Example: f(Biology I) = 66 – 65 = 1 (ASCII value of B is 66) a. Explain why this is or is not a good hash function. b. What improvement(s) could be made? 2. Assume that the hash function is: f(key) = key % B a. What is the problem if B is too small? b. What is the problem if B is too large? c. What is the big-0 run-time if there are n records? d. What does the run-time for a find, insert, and delete each approach as B gets very large?

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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1. Given the following hash function for storing records on courses:
f(title) = ASCII value of first character in the title - 64
Example: f(Biology I) = 66 – 65 = 1 (ASCII value of B is 66)

a. Explain why this is or is not a good hash function.
b. What improvement(s) could be made?


2. Assume that the hash function is: f(key) = key % B
a. What is the problem if B is too small?
b. What is the problem if B is too large?
c. What is the big-0 run-time if there are n records?
d. What does the run-time for a find, insert, and delete each approach as B gets very
large?

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