EBK ENHANCED DISCOVERING COMPUTERS & MI
EBK ENHANCED DISCOVERING COMPUTERS & MI
1st Edition
ISBN: 8220100606922
Author: Vermaat
Publisher: YUZU
Question
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Chapter 4, Problem 2.1E
Program Plan Intro

File compression:

  • It is the process of shrinking a file in order to reduce the actual size of the file. This is done in order to free up spaces on the storage media.
  • It is also easy for the user to attach the compressed file to e-mail which also reduces the time required for the file transmission.
  • Compressed files are also called as zipped files.
  • If a person gets a compressed file, then he/ she should unzip the file in order to get the original form.

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Design a dynamic programming algorithm for the problem described below Input: A list of numbers A = = [a1,..., an]. Output: A contiguous subsequence of numbers with the maximum sum. The algorithm must take O(n) time. You must also write and explain the recurrence. (I am looking for an i ≥ 1 and k ≥ 0 such that a + ai+1 + ···ai+k has the largest possible sum among all possible values for i and k.) Example 1: Input: A[5, 15, -30, 10, -5, 40, 10]. Output: [10, 5, 40, 10] Example 2: Input: A = [7, 5, 7, 4, -20, 6, 9, 3, -4, -8, 4] Output: [6,9,3]
Design a dynamic programming algorithm for the Longest Increasing Subsequence problem described below: Input: A sequence of n integers Output: The length of the longest increasing subsequence among these integers. The algorithm must take O(n²) time. You must also write and explain the recurrence. Example 1: Input: [5, 3, 6, 8, 4, 6, 2, 7, 9, 5] Output: 5 ([3, 4, 6, 7, 9]) Example 2: Input: [12, 42, 66, 73, 234, 7, 543, 16] Output: 6 ([42, 66, 73, 234, 543])
Design a dynamic programming algorithm for the Subset Sum problem described below: Input: A set of n integers A and an integer s Output: A subset of A whose numbers add up to s, or that no such set exists. The algorithm must take O(n·s) time. You must also write and explain the recurrence. Example 1: Input: A = {4, 7, 5, 2, 3}, s = 12 Output: {7,2,3} Example 2: Input: A{4, 7, 5,3}, s = 6 Output: 'no such subset'

Chapter 4 Solutions

EBK ENHANCED DISCOVERING COMPUTERS & MI

Ch. 4 - Prob. 11SGCh. 4 - Prob. 12SGCh. 4 - Prob. 13SGCh. 4 - Prob. 14SGCh. 4 - Prob. 15SGCh. 4 - Prob. 16SGCh. 4 - Prob. 17SGCh. 4 - Prob. 18SGCh. 4 - Prob. 19SGCh. 4 - Prob. 20SGCh. 4 - Prob. 21SGCh. 4 - Prob. 22SGCh. 4 - Prob. 23SGCh. 4 - Prob. 24SGCh. 4 - Prob. 25SGCh. 4 - Prob. 26SGCh. 4 - Prob. 27SGCh. 4 - Prob. 28SGCh. 4 - Prob. 29SGCh. 4 - Prob. 30SGCh. 4 - Prob. 31SGCh. 4 - Prob. 32SGCh. 4 - Prob. 34SGCh. 4 - Prob. 35SGCh. 4 - Prob. 36SGCh. 4 - Prob. 37SGCh. 4 - Prob. 38SGCh. 4 - Prob. 39SGCh. 4 - Prob. 40SGCh. 4 - Prob. 41SGCh. 4 - Prob. 42SGCh. 4 - Prob. 43SGCh. 4 - Prob. 44SGCh. 4 - Prob. 45SGCh. 4 - Prob. 46SGCh. 4 - Prob. 47SGCh. 4 - Prob. 48SGCh. 4 - Prob. 49SGCh. 4 - Prob. 1TFCh. 4 - Prob. 2TFCh. 4 - Prob. 3TFCh. 4 - Prob. 4TFCh. 4 - Prob. 5TFCh. 4 - Prob. 6TFCh. 4 - Prob. 7TFCh. 4 - Prob. 8TFCh. 4 - Prob. 9TFCh. 4 - Prob. 10TFCh. 4 - Prob. 11TFCh. 4 - Prob. 12TFCh. 4 - Prob. 1MCCh. 4 - Prob. 2MCCh. 4 - Prob. 3MCCh. 4 - Prob. 4MCCh. 4 - Prob. 5MCCh. 4 - Prob. 6MCCh. 4 - Prob. 7MCCh. 4 - Prob. 8MCCh. 4 - Prob. 1MCh. 4 - Prob. 2MCh. 4 - Prob. 3MCh. 4 - Prob. 4MCh. 4 - Prob. 5MCh. 4 - Prob. 6MCh. 4 - Prob. 7MCh. 4 - Prob. 8MCh. 4 - Prob. 9MCh. 4 - Prob. 10MCh. 4 - Prob. 2CTCh. 4 - Prob. 3CTCh. 4 - Prob. 4CTCh. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Prob. 7CTCh. 4 - Prob. 8CTCh. 4 - Prob. 9CTCh. 4 - Prob. 10CTCh. 4 - Prob. 11CTCh. 4 - Prob. 12CTCh. 4 - Prob. 13CTCh. 4 - Prob. 14CTCh. 4 - Prob. 15CTCh. 4 - Prob. 16CTCh. 4 - Prob. 17CTCh. 4 - Prob. 18CTCh. 4 - Prob. 19CTCh. 4 - Prob. 20CTCh. 4 - Prob. 21CTCh. 4 - Prob. 22CTCh. 4 - Prob. 23CTCh. 4 - Prob. 24CTCh. 4 - Prob. 25CTCh. 4 - Prob. 26CTCh. 4 - Prob. 27CTCh. 4 - Prob. 28CTCh. 4 - Prob. 29CTCh. 4 - Prob. 30CTCh. 4 - Prob. 1PSCh. 4 - Prob. 2PSCh. 4 - Prob. 3PSCh. 4 - Prob. 4PSCh. 4 - Prob. 5PSCh. 4 - Prob. 6PSCh. 4 - Prob. 7PSCh. 4 - Prob. 8PSCh. 4 - Prob. 9PSCh. 4 - Prob. 10PSCh. 4 - Prob. 1.1ECh. 4 - Prob. 1.2ECh. 4 - Prob. 1.3ECh. 4 - Prob. 2.1ECh. 4 - Prob. 2.2ECh. 4 - Prob. 2.3ECh. 4 - Prob. 3.1ECh. 4 - Prob. 3.2ECh. 4 - Prob. 3.3ECh. 4 - Prob. 4.1ECh. 4 - Prob. 4.2ECh. 4 - Prob. 4.3ECh. 4 - Prob. 5.1ECh. 4 - Prob. 5.2ECh. 4 - Prob. 5.3ECh. 4 - Prob. 1IRCh. 4 - Prob. 2IRCh. 4 - Prob. 4IRCh. 4 - Prob. 2CTQ
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