Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Chapter 27.4, Problem 27.4.5CP
Program Plan Intro

Open Addressing:

  • Open Addressing is a method of finding an open location in the hash table at the time of collision.
  • There are several variations for open addressing such as linear probing, quadratic probing, and double hashing.

Quadratic Probing:

  • Quadratic probing is one other variation of open addressing.
  • It is introduced to avoid the clustering problem in linear probing.
  • Quadratic probing will look at the cells at indices (k + j2) % n, for j ≥ 0, i.e., k, (k + 1) % n, (k + 4) % n, (k + 9) % n, ..., and so on.
  • Starting from the initial index, quadratic probing will add an increment of 2 to k to define a search sequence.

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Does a hash table of size m always have the same number of linked lists? I have been trying to make sense of the function of a hash function for hours, but I just can't seem to get it. Give an instance to demonstrate your point.
Insert keys {10, 22, 11, 31, 24, 88, 38, 21} into an empty hash table with CAPACITY = 10 using quadratic probing (c1=0 and c2=1) to resolve collision (You shouldn't use a for/while loop except to increment the value of i for quadratic probing). Use the hash function is h(k, i) = (h’(k) + c1* i + c2* i^2) mod 10 and h’(k) = k mod 10.
Does a hash table of size m always have the same number of linked lists? I've been trying to understand the function of a hash function, but I just can't seem to get it. Give a case study to demonstrate your point.
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