Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Chapter 4, Problem 13R

Explanation of Solution

Big-Oh characterization in terms of “n”:

The code fragment in 4.12 as follows:

/*Method returns the number of times second array stores the sum of prefix from first*/

  public static int example5(int[ ] arr)

  {

  //Declare the required variables

  int n = first.length, count = 0;

  //Execute the for loop from 0 to n

  for (int i=0; i < n; i++)

  {

  //Assign the value for total

  int total = 0;

  //Execute the for loop from 0 to n

  for (int j=0; j < n; j++)

/*Execute the for loop until the condition leads to false*/

  for (int k=0; k < =j; k++)

  //Sum up the values of array

  total += first[k];

/*Check whether total is equal to second[i]*/

  if(second[i]=...

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[5 marks] Give a recursive definition for the language anb2n where n = 1, 2, 3, ... over the alphabet Ó={a, b}. 2) [12 marks] Consider the following languages over the alphabet ƒ={a ,b}, (i) The language of all words that begin and end an a (ii) The language where every a in a word is immediately followed by at least one b. (a) Express each as a Regular Expression (b) Draw an FA for each language (c) For Language (i), draw a TG using at most 3 states (d) For Language (ii), construct a CFG.
Question 1 Generate a random sample of standard lognormal data (rlnorm()) for sample size n = 100. Construct histogram estimates of density for this sample using Sturges’ Rule, Scott’s Normal Reference Rule, and the FD Rule. Question 2 Construct a frequency polygon density estimate for the sample in Question 1, using bin width determined by Sturges’ Rule.
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Chapter 4 Solutions

Data Structures and Algorithms in Java

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