Consider a hash table with m = 8 slots. a) Show the result of inserting numbers 9, 12, 2, 43, 31, 25 using a hash function h(k) = [m(kA mod 1)] for A = √3/2 with collision resolution by chaining. b) Show the results of inserting numbers 9, 12, 2, 43, 31, 25 using open addressing with auxiliary hash function h'(k) = [m(kA mod 1)] for A = √3/2 and linear probing. How many probes are needed in this open-addressing cache to determine that 38 isn't in the hash? Explain your answers

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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Consider a hash table with m = 8 slots.

a) Show the result of inserting numbers 9, 12, 2, 43, 31, 25 using a hash function h(k) = [m(kA mod 1)] for A = √3/2 with collision resolution by chaining.

b) Show the results of inserting numbers 9, 12, 2, 43, 31, 25 using open addressing with auxiliary hash function h'(k) = [m(kA mod 1)] for A = √3/2 and linear probing. How many probes are needed in this open-addressing cache to determine that 38 isn't in the hash? Explain your answers. 

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