4. Consider a hash table implemented using CHAINED HASHING. Assume that there are n elements in the hash table and that the hash table size is m = [n5/7]. (a) What is the asymptotic WORST CASE running time for retrieving an element that is in the hash table? Justify your answer. (b) What is the asymptotic EXPECTED time for retrieving an element that is in the hash table? Justify your answer.

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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3. Let H be a hash table of size 500 with the hash function h(K) = 35 * k mod 500 implemented using
CHAINED hashing. Explain why h is NOT a good hash function.
4. Consider a hash table implemented using CHAINED HASHING. Assume that there are n elements in
the hash table and that the hash table size is m = = [n5/7].
(a) What is the asymptotic WORST CASE running time for retrieving an element that is in the hash
table? Justify your answer.
(b) What is the asymptotic EXPECTED time for retrieving an element that is in the hash table?
Justify your answer.
Transcribed Image Text:3. Let H be a hash table of size 500 with the hash function h(K) = 35 * k mod 500 implemented using CHAINED hashing. Explain why h is NOT a good hash function. 4. Consider a hash table implemented using CHAINED HASHING. Assume that there are n elements in the hash table and that the hash table size is m = = [n5/7]. (a) What is the asymptotic WORST CASE running time for retrieving an element that is in the hash table? Justify your answer. (b) What is the asymptotic EXPECTED time for retrieving an element that is in the hash table? Justify your answer.
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