Bndl: Llf New Perspectives Htm L5 Css3 & Javascript, 6th Edition
6th Edition
ISBN: 9781337755870
Author: Carey
Publisher: CENGAGE L
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Chapter 1, Problem 15CP1
Program Plan Intro
a. To insert the footer element directly after the last service in file jtc_services.html, where description in footer element should be separated by diamond symbol having character code as 9830.
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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.
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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 1 Solutions
Bndl: Llf New Perspectives Htm L5 Css3 & Javascript, 6th Edition
Ch. 1.1 - Prob. 1QCCh. 1.1 - Prob. 2QCCh. 1.1 - Prob. 3QCCh. 1.1 - Prob. 4QCCh. 1.1 - What is incorrect about the following code?...Ch. 1.1 - Prob. 6QCCh. 1.1 - Prob. 7QCCh. 1.1 - Prob. 8QCCh. 1.1 - Prob. 9QCCh. 1.2 - Prob. 1QC
Ch. 1.2 - Prob. 2QCCh. 1.2 - Prob. 3QCCh. 1.2 - Prob. 4QCCh. 1.2 - Prob. 5QCCh. 1.2 - Prob. 6QCCh. 1.2 - Prob. 7QCCh. 1.2 - Prob. 8QCCh. 1.2 - Prob. 9QCCh. 1.3 - Prob. 1QCCh. 1.3 - Prob. 2QCCh. 1.3 - Prob. 3QCCh. 1.3 - Prob. 4QCCh. 1.3 - Prob. 5QCCh. 1.3 - Prob. 6QCCh. 1.3 - Prob. 7QCCh. 1.3 - Prob. 8QCCh. 1.3 - Prob. 9QCCh. 1 - Prob. 1RACh. 1 - Prob. 2RACh. 1 - Prob. 3RACh. 1 - Prob. 4RACh. 1 - Prob. 5RACh. 1 - Prob. 6RACh. 1 - Prob. 7RACh. 1 - Prob. 8RACh. 1 - Prob. 9RACh. 1 - Prob. 10RACh. 1 - Prob. 11RACh. 1 - Prob. 12RACh. 1 - Prob. 13RACh. 1 - Prob. 14RACh. 1 - Prob. 15RACh. 1 - Prob. 16RACh. 1 - Prob. 17RACh. 1 - Prob. 18RACh. 1 - Prob. 19RACh. 1 - Prob. 20RACh. 1 - Prob. 21RACh. 1 - Prob. 22RACh. 1 - Prob. 23RACh. 1 - Prob. 1CP1Ch. 1 - Prob. 2CP1Ch. 1 - Prob. 3CP1Ch. 1 - Prob. 4CP1Ch. 1 - Prob. 5CP1Ch. 1 - Prob. 6CP1Ch. 1 - Prob. 7CP1Ch. 1 - Prob. 8CP1Ch. 1 - Prob. 9CP1Ch. 1 - Prob. 10CP1Ch. 1 - Prob. 11CP1Ch. 1 - Prob. 12CP1Ch. 1 - Prob. 13CP1Ch. 1 - Prob. 14CP1Ch. 1 - Prob. 15CP1Ch. 1 - Prob. 16CP1Ch. 1 - Prob. 1CP2Ch. 1 - Prob. 2CP2Ch. 1 - Prob. 3CP2Ch. 1 - Prob. 4CP2Ch. 1 - Prob. 5CP2Ch. 1 - Prob. 6CP2Ch. 1 - Prob. 7CP2Ch. 1 - Prob. 8CP2Ch. 1 - Prob. 9CP2Ch. 1 - Prob. 10CP2Ch. 1 - Prob. 11CP2Ch. 1 - Prob. 12CP2Ch. 1 - Prob. 1CP3Ch. 1 - Prob. 2CP3Ch. 1 - Prob. 3CP3Ch. 1 - Prob. 4CP3Ch. 1 - Prob. 5CP3Ch. 1 - Prob. 6CP3Ch. 1 - Prob. 7CP3Ch. 1 - Prob. 8CP3Ch. 1 - Prob. 9CP3Ch. 1 - Prob. 10CP3Ch. 1 - Prob. 11CP3Ch. 1 - Prob. 12CP3Ch. 1 - Prob. 13CP3Ch. 1 - Prob. 14CP3Ch. 1 - Prob. 15CP3Ch. 1 - Prob. 16CP3Ch. 1 - Prob. 17CP3Ch. 1 - Prob. 18CP3Ch. 1 - Prob. 19CP3Ch. 1 - Prob. 20CP3Ch. 1 - Prob. 21CP3Ch. 1 - Prob. 22CP3Ch. 1 - Prob. 23CP3Ch. 1 - Prob. 24CP3Ch. 1 - Prob. 25CP3Ch. 1 - Prob. 26CP3Ch. 1 - Prob. 1CP4Ch. 1 - Prob. 2CP4Ch. 1 - Prob. 3CP4Ch. 1 - Prob. 4CP4Ch. 1 - Prob. 5CP4Ch. 1 - Prob. 6CP4Ch. 1 - Prob. 7CP4
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