Problem Solving with C++ (9th Edition)
Problem Solving with C++ (9th Edition)
9th Edition
ISBN: 9780133591743
Author: Walter Savitch
Publisher: PEARSON
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Chapter 7, Problem 10PP

Write a program that will allow two users to play tic-tac-toe. The program

should ask for moves alternately from player X and player O. The program

displays the game positions as follows:

1 2 3

4 5 6

7 8 9

The players enter their moves by entering the position number they wish to

mark. After each move, the program displays the changed board. A sample

board configuration is as follows:

X X O

4 5 6

O 8 9

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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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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])

Chapter 7 Solutions

Problem Solving with C++ (9th Edition)

Ch. 7.2 - Consider the following function definition: void...Ch. 7.2 - Prob. 12STECh. 7.2 - Write a function definition for a function called...Ch. 7.2 - Consider the following function definition: void...Ch. 7.2 - Insert const before any of the following array...Ch. 7.2 - Write a function named outOfOrder that takes as...Ch. 7.3 - Write a program that will read up to ten...Ch. 7.3 - Write a program that will read up to ten letters...Ch. 7.3 - Following is the declaration for an alternative...Ch. 7.4 - Prob. 20STECh. 7.4 - Write code that will fill the array a (declared...Ch. 7.4 - Prob. 22STECh. 7 - Write a function named firstLast2 that takes as...Ch. 7 - Write a function named countNum2s that takes as...Ch. 7 - Write a function named swapFrontBack that takes as...Ch. 7 - The following code creates a small phone book. An...Ch. 7 - There are three versions of this project. Version...Ch. 7 - Hexadecimal numerals are integers written in base...Ch. 7 - Solution to Programming Project 7.3 Write a...Ch. 7 - Prob. 4PPCh. 7 - Write a program that reads in a list of integers...Ch. 7 - Prob. 6PPCh. 7 - An array can be used to store large integers one...Ch. 7 - Write a program that will read a line of text and...Ch. 7 - Write a program to score five-card poker hands...Ch. 7 - Write a program that will allow two users to play...Ch. 7 - Write a program to assign passengers seats in an...Ch. 7 - Prob. 12PPCh. 7 - The mathematician John Horton Conway invented the...Ch. 7 - Redo (or do for the first time) Programming...Ch. 7 - Redo (or do for the first time) Programming...Ch. 7 - A common memory matching game played by young...Ch. 7 - Your swim school has two swimming instructors,...Ch. 7 - Your swim school has two swimming instructors,...Ch. 7 - Prob. 19PPCh. 7 - The Social Security Administration maintains an...
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