Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Expert Solution & Answer
Chapter 4, Problem 57C
Explanation of Solution
O(n) method to find the k-bit integer not present in array “A”:
Let us consider that the array “A” contains the positive integers and fix the size of the Boolean array to at most “4n”.
- Here, the index value of “i” is set to true only if “i” is present in the sequence.
- Next, initialize the cell to false and then start processing sequence.
- Set the cell “i” to true for each integer in array “A”...
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Given an n-element array X of integers, Algorithm A executes an O(n) time computation for each even number in X and an O(log-n) time computation for each odd number in X. What are the best case and worst case for running time of algorithm C?
Write an iterative algorithm to find base r representation of a decimal number n. Analyse its timecomplexity using O, Ω, Θ.
Given two matrices Rp×q and Sq×r, write java code to compute T = R×S
Chapter 4 Solutions
Data Structures and Algorithms in Java
Ch. 4 - Prob. 1RCh. 4 - The number of operations executed by algorithms A...Ch. 4 - The number of operations executed by algorithms A...Ch. 4 - Prob. 4RCh. 4 - Prob. 5RCh. 4 - Prob. 6RCh. 4 - Prob. 7RCh. 4 - Prob. 8RCh. 4 - Prob. 9RCh. 4 - Prob. 10R
Ch. 4 - Prob. 11RCh. 4 - Prob. 12RCh. 4 - Prob. 13RCh. 4 - Prob. 14RCh. 4 - Prob. 15RCh. 4 - Prob. 16RCh. 4 - Prob. 17RCh. 4 - Prob. 18RCh. 4 - Prob. 19RCh. 4 - Prob. 20RCh. 4 - Prob. 21RCh. 4 - Prob. 22RCh. 4 - Show that 2n+1 is O(2n).Ch. 4 - Prob. 24RCh. 4 - Prob. 25RCh. 4 - Prob. 26RCh. 4 - Prob. 27RCh. 4 - Prob. 28RCh. 4 - Prob. 29RCh. 4 - Prob. 30RCh. 4 - Prob. 31RCh. 4 - Prob. 32RCh. 4 - Prob. 33RCh. 4 - Prob. 34RCh. 4 - Prob. 35CCh. 4 - Prob. 36CCh. 4 - Prob. 37CCh. 4 - Prob. 38CCh. 4 - Prob. 39CCh. 4 - Prob. 40CCh. 4 - Prob. 41CCh. 4 - Prob. 42CCh. 4 - Prob. 43CCh. 4 - Draw a visual justification of Proposition 4.3...Ch. 4 - Prob. 45CCh. 4 - Prob. 46CCh. 4 - Communication security is extremely important in...Ch. 4 - Al says he can prove that all sheep in a flock are...Ch. 4 - Consider the following justification that the...Ch. 4 - Consider the Fibonacci function, F(n) (see...Ch. 4 - Prob. 51CCh. 4 - Prob. 52CCh. 4 - Prob. 53CCh. 4 - Prob. 54CCh. 4 - An evil king has n bottles of wine, and a spy has...Ch. 4 - Prob. 56CCh. 4 - Prob. 57CCh. 4 - Prob. 58CCh. 4 - Prob. 59CCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Perform an experimental analysis to test the...Ch. 4 - Prob. 63P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Similar questions
- Give regular expressions for the i (a) {w : w contains at most two 1s} (b) {w : w contains at least two 1s} (c) {w: every odd position in w is 1} (d) {w : w contains an even number of 0s, orarrow_forwardGiven the function T(n) = n3 + 20n + 5, show that T(n) is O(n3)arrow_forwardWe want to determine if an unsorted array A of n entries has duplicates. These integers are 1,..., 2n.arrow_forward
- Let B be an array of n >= 6 numbers ranging from 1 to n-5, inclusive, with precisely five repetitions. Describe an O(n) method for determining the five repeated numbers in B.arrow_forwardf(x)= 5/(2x+4) is continuous at OR O [0,1/2] O Nonarrow_forwardChoose an odd, whole number e such that gcd(e, φ(n)) = 1. Write down the steps of the Euclidean Division Algorithm for e and φ(n) to verify that your choice of e is appropriate.arrow_forward
- Give a Θ(lg n) algorithm that computes the remainder when xn is divided byp. For simplicity, you may assume that n is a power of 2. That is, n = 2k forsome positive integer k.arrow_forwardGiven a Sorted Array of integers containing duplicates. Find the frequency of every unique element present in the array. Frequency is defined as the number of occurrence of any element in the array. Solve in Javaarrow_forwardFunction f grows no faster than function g O f (n) = O(g(n)) %3D O f (n) = 2(g(n)) O f (n) = O(g(n)) %3D O f (n) = w(g(n))arrow_forward
- Let n be an integer. If 3n+ 4 is odd, then n is odd.arrow_forwardWrite a Java Program to take an array of integers from the user and try to find the longest increasing subsequence from it. The Time Complexity of your Code must be: O(n^2)arrow_forwardComputer Science Let A be an array of n numbers. Design an O(n)-time algorithm to rearrange elements of A in a way that all negative numbers precede all positive numbers. Explain your algorithm in detail and show why it runs in O(n).arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
C++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning
C++ Programming: From Problem Analysis to Program...
Computer Science
ISBN:9781337102087
Author:D. S. Malik
Publisher:Cengage Learning