Problem Solving with C++ (9th Edition)
9th Edition
ISBN: 9780133591743
Author: Walter Savitch
Publisher: PEARSON
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Textbook Question
Chapter 12.2, Problem 11STE
Consider the following function declarations from the definition of the class Money in Display 11.4.
void input(istream& ins);
void output(ostream& outs) const;
Rewrite these function declarations so that they do not need to be preceded by
using namespace std;
(You do not need to look back at Display 11.4 to do this.)
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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 12 Solutions
Problem Solving with C++ (9th Edition)
Ch. 12.1 - Suppose that you are defining an ADT class and...Ch. 12.1 - Which of the following files has a name that ends...Ch. 12.1 - Prob. 3STECh. 12.1 - Suppose you define a class in separate files and...Ch. 12.1 - Suppose you want to change the implementation of...Ch. 12.1 - What is the difference between an ADT you define...Ch. 12.2 - Consider the program shown in Display 12.5. Could...Ch. 12.2 - In Self-Test Exercise 7, we saw that you could not...Ch. 12.2 - Prob. 9STECh. 12.2 - Prob. 10STE
Ch. 12.2 - Consider the following function declarations from...Ch. 12.2 - Would the program in Display 12.8 behave any...Ch. 12.2 - Prob. 13STECh. 12.2 - In Display 12.7 there are two groupings for the...Ch. 12 - Add the following member function to the ADT class...Ch. 12 - Prob. 3PCh. 12 - Redo Practice Programs 2 from Chapter 11, but this...Ch. 12 - This Practice Program explores how the unnamed...Ch. 12 - Prob. 1PPCh. 12 - Redo (or do for the first time) Programming...Ch. 12 - Prob. 3PP
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