Consider a hash table of size 11 with hash function h(x) = x mod 11. Draw the tablethat results after inserting, in the given order, the following values: 26, 57, 40, 50,13, 33, and 72 for each of the three scenarios below: i.       When collisions are handled by separate chaining. ii.      When collisions are handled by double hashing using a second hash                    function ℎ’(?) = (? ??? 7) + 1. Hint, the overall (combined) hash function is          ?(?) =  ( ℎ(?) + ? × ℎ′(?) ) ??? 11, where i = 0, 1, 2, 3, …  iii.     When collisions are handled by quadratic probing with a quadratic probe         function ℎ′(?,?) = (ℎ(?) + 0.5 ? + 0.5 ?2) ??? 11 where ? = 1, 2, 3,….

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 of size 11 with hash function h(x) = x mod 11. Draw the tablethat results after inserting, in the given order, the following values: 26, 57, 40, 50,13, 33, and 72 for each of the three scenarios below:

i.       When collisions are handled by separate chaining.

ii.      When collisions are handled by double hashing using a second hash                    function ℎ’(?) = (? ??? 7) + 1. Hint, the overall (combined) hash function is          ?(?) =  ( ℎ(?) + ? × ℎ′(?) ) ??? 11, where i = 0, 1, 2, 3, … 

iii.     When collisions are handled by quadratic probing with a quadratic probe         function ℎ′(?,?) = (ℎ(?) + 0.5 ? + 0.5 ?2) ??? 11 where ? = 1, 2, 3,….

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