C How to Program (8th Edition)
8th Edition
ISBN: 9780133976892
Author: Paul J. Deitel, Harvey Deitel
Publisher: PEARSON
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Chapter 8, Problem 8.17E
(Counting the Occurrences of a Substring) Write a
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Students have asked these similar questions
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)
Chapter 8 Solutions
C How to Program (8th Edition)
Ch. 8 - (Character Testing) Write a program that inputs a...Ch. 8 - Prob. 8.6ECh. 8 - (Convening Strings to Integers for Calculations)...Ch. 8 - (Converting Strings to Floating Point for...Ch. 8 - Prob. 8.9ECh. 8 - Prob. 8.10ECh. 8 - (Random Sentences) Write a program that uses...Ch. 8 - (Pig Latin) Write a program that encodes...Ch. 8 - (Tokenizing Telephone Numbers) Write a program...Ch. 8 - (Displaying a Sentence with Its Words Reversed)...
Ch. 8 - (Searching for Substrings) Write a program that...Ch. 8 - (Counting the Occurrences of a Substring) Write a...Ch. 8 - (Counting the Occurrences of a Character) Write a...Ch. 8 - Prob. 8.19ECh. 8 - (Counting the Number of Words in a String) Write a...Ch. 8 - (Alphabetizing a List of Strings) Use the...Ch. 8 - Prob. 8.22ECh. 8 - (Strings Starting with b) Write a program that...Ch. 8 - (Strings Ending with ed) Write a program that...Ch. 8 - (Printing Letters for Various ASCII Codes) Write a...Ch. 8 - (Write Your Own Character-Handling Functions)...Ch. 8 - Prob. 8.27ECh. 8 - Prob. 8.28ECh. 8 - Prob. 8.29ECh. 8 - Prob. 8.30ECh. 8 - (Text Analysis) The availability of computers with...Ch. 8 - (Printing Dates in Various Formats) Dates are...Ch. 8 - (Check Protection) Computers are frequently used...Ch. 8 - (Writing the Word Equivalent of a Check Amount)...Ch. 8 - Prob. 8.35ASME
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