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 27.6, Problem 27.6.2CP
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 of indices (k + j2) % n, for j 0, 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.

Load Factor:

Load factor is used to measure how full a hash table is. It is defined as the ratio between the number of elements in the hash table and the hash table size.

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I need help with this question, please. Parts A and B A.) Add the following numbers to an 11-entry hash table using linear probing to resolve collisions.  Stop before adding an item that would result in α > 0.75. This means you might not use all the numbers.  (Spoiler alert: you won't use them all.) 39 68 60 71 83 52 99 55 49 77 58 26 76 66 37 28 For the hash function, simply take the number mod the table size. In 11 blanks, write the number that would end up at that entry in the table.  If there is no number at that location, write empty. B.)  Add the following numbers to a 23-entry hash table using linear probing to resolve collisions.  Stop before adding an item that would result in α > 0.75.  This means you may not use all the numbers.  39 68 60 71 83 52 99 55 49 77 58 26 76 66 37 28 For the hash function, simply take the number mod the table size. In 23 blanks, write the number that would end up at that entry in the table.  If there is no number at that location, write…
3. Double hashing is one of the methods to resolve collision. Write a function to implement this method. The equations used in this method are given below. Note: implement everything within the double hash function. P = (P + INCREMENT(Key)) mod TABLE_SIZE INCREMENT(Key) = 1 + (Key mod INCR)
Assume a hash table utilizes an array of 13 elements and that collisions are handled by separate chaining. Considering the hash function is defined as: h(k)=k mod 13. i) Draw the contents of the table after inserting elements with the following keys: 36, 243, 261, 180, 217, 180, 21, 16, 182, 202, 91, 97, 166, 78, 33, 70, 51, 58.
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