Problem Solving with C++ plus MyProgrammingLab with Pearson eText-- Access Card Package (9th Edition)
Problem Solving with C++ plus MyProgrammingLab with Pearson eText-- Access Card Package (9th Edition)
9th Edition
ISBN: 9780133862218
Author: Walter Savitch
Publisher: PEARSON
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Chapter 9, Problem 6PP

Chapter 9, Problem 6PP, One problem with dynamic arrays is that once the array is created using the new operator, the size

One problem with dynamic arrays is that once the array is created using the new operator, the size cannot be changed. For example, you might want to add or delete entries from the array as you can with a vector. This project asks you to create functions that use dynamic arrays to emulate the behavior of a vector.

First, write a program that creates a dynamic array of five strings. Store five names of your choice into the dynamic array. Next, complete the following two functions:

string* addEntry(string *dynamicArray, int &size, string

newEntry);

This function should create a new dynamic array one element larger than dynamicArray, copy all elements from dynamicArray into the new array, add the new entry onto the end of the new array, increment size, delete dynamicArray, and return the new dynamic array.

string* deleteEntry(string *dynamicArray, int &size, string

entryToDelete);

This function should search dynamicArray for entryToDelete. If not found, the request should be ignored and the unmodified dynamicArray returned. If found, create a new dynamic array one element smaller than dynamicArray. Copy all elements except entryToDelete into the new array, delete dynamicArray, decrement size, and return the new dynamic array. Test your functions by adding and deleting several names to the array while outputting the contents of the array. You will have to assign the array returned by addEntry or deleteEntry back to the dynamic array variable in your main function.

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Design a dynamic programming algorithm for the Longest Alternating Subsequence problem described below: Input: A sequence of n integers Output: The length of the longest subsequence where the numbers alternate between being larger and smaller than their predecessor The algorithm must take O(n²) time. You must also write and explain the recurrence. Example 1: Input: [3, 5, 4, 1, 3, 6, 5, 7, 3, 4] Output: 8 ([3, 5, 4, 6, 5, 7, 3, 4]) Example 2: Input: [4,7,2,5,8, 3, 8, 0, 4, 7, 8] Output: 8 ([4, 7, 2, 5, 3, 8, 0,4]) (Take your time with this for the subproblem for this one)
Design a dynamic programming algorithm for the Coin-change problem described below: Input: An amount of money C and a set of n possible coin values with an unlimited supply of each kind of coin. Output: The smallest number of coins that add up to C exactly, or output that no such set exists. The algorithm must take O(n C) time. You must also write and explain the recurrence. Example 1: Input: C24, Coin values = = [1, 5, 10, 25, 50] Output: 6 (since 24 = 10+ 10+1+1 +1 + 1) Example 2: Input: C = 86, Coin values = [1, 5, 6, 23, 35, 46, 50] Output: 2 (since 86 = 46+35+5)
Design a dynamic programming algorithm for the Longest Common Subsequence problem de- scribed below Input: Two strings x = x1x2 xm and y = Y1Y2... Yn Output: The length of the longest subsequence that is common to both x and y. . The algorithm must take O(m n) time. You must also write and explain the recurrence. (I want the largest k such that there are 1 ≤ i₁ < ... < ik ≤ m and 1 ≤ j₁ < ... < jk ≤ n such that Xi₁ Xi2 Xik = Yj1Yj2 ··· Yjk) Example 1: Input: x = 'abcdefghijklmnopqrst' and y = 'ygrhnodsh ftw' Output: 6 ('ghnost' is the longest common subsequence to both strings) Example 2: Input: x = 'ahshku' and y = ‘asu' Output: 3 ('asu' is the longest common subsequence to both strings)
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Definition of Array; Author: Neso Academy;https://www.youtube.com/watch?v=55l-aZ7_F24;License: Standard Youtube License