Introduction to Java Programming and Data Structures: Brief Version (11th Global Edition)
Introduction to Java Programming and Data Structures: Brief Version (11th Global Edition)
11th Edition
ISBN: 9780134671710
Author: Y. Daniel Liang
Publisher: PEARSON
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Chapter 27.2, Problem 27.2.1CP

Explanation of Solution

Hash Function:

  • Consider the case of searching an array for a given value. If the array is not sorted, then the process takes more time to search an element.
  • Whereas, if the array is sorted, by using binary search the worst case runtime complexity can be reduced to O(log n) .
  • The searching process can be made even faster if the index of the value is known.
  • Therefore, the function that tells the index value has to be used to reduce the search to just one probe, giving a constant runtime O(1) .
  • Such a function is called as a hash function.
  • A hash function is a function that generates an address in the table when a key is given.

Example:

Consider an example of a book call number. Each book in the library will be having a unique call number, which tells where the book is placed in the library

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