Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Chapter 14, Problem 14.22PE
(Connect two circles) Write a
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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)
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])
Chapter 14 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 14.2 - Explain the evolution of Java GUI technologies.Ch. 14.2 - Prob. 14.2.2CPCh. 14.3 - Prob. 14.3.1CPCh. 14.3 - Show the output of the following JavaFX program:...Ch. 14.4 - How do you create a Scene object? How do you set a...Ch. 14.4 - Prob. 14.4.2CPCh. 14.4 - Prob. 14.4.3CPCh. 14.4 - How do you replace the code in lines 20 and 21 in...Ch. 14.5 - Prob. 14.5.1CPCh. 14.5 - Prob. 14.5.2CP
Ch. 14.5 - Can you create an object of IntegerProperty using...Ch. 14.5 - Prob. 14.5.4CPCh. 14.6 - Prob. 14.6.1CPCh. 14.6 - Prob. 14.6.2CPCh. 14.7 - How do you create a color? What is wrong about...Ch. 14.7 - Prob. 14.7.2CPCh. 14.7 - Prob. 14.7.3CPCh. 14.8 - Prob. 14.8.1CPCh. 14.8 - Prob. 14.8.2CPCh. 14.9 - Prob. 14.9.1CPCh. 14.9 - Prob. 14.9.2CPCh. 14.9 - Prob. 14.9.3CPCh. 14.10 - Prob. 14.10.1CPCh. 14.10 - Prob. 14.10.2CPCh. 14.10 - Prob. 14.10.3CPCh. 14.10 - Prob. 14.10.4CPCh. 14.10 - Prob. 14.10.5CPCh. 14.11 - How do you display a text, line, rectangle,...Ch. 14.11 - Prob. 14.11.2CPCh. 14.11 - Prob. 14.11.3CPCh. 14.11 - Write code fragments to fill red color in a...Ch. 14.11 - Prob. 14.11.5CPCh. 14.11 - Prob. 14.11.6CPCh. 14.11 - Write code fragments to display the outline of the...Ch. 14.11 - Write code fragments to display the lower half of...Ch. 14.11 - Write code fragments to display a polygon...Ch. 14.11 - Write code fragments to display a polygon...Ch. 14.11 - Prob. 14.11.11CPCh. 14.12 - Prob. 14.12.1CPCh. 14 - Prob. 14.1PECh. 14 - Prob. 14.2PECh. 14 - (Display three cards) Write a program that...Ch. 14 - (Color and font) Write a program that displays...Ch. 14 - (Characters around circle) Write a program that...Ch. 14 - Prob. 14.6PECh. 14 - (Display random 0 or 1) Write a program that...Ch. 14 - (Create four fans) Write a program that places...Ch. 14 - (Display a cylinder) Write a program that draws a...Ch. 14 - Prob. 14.11PECh. 14 - (Display a bar chart) Write a program that uses a...Ch. 14 - Prob. 14.13PECh. 14 - (Display a rectanguloid) Write a program that...Ch. 14 - Prob. 14.15PECh. 14 - Prob. 14.16PECh. 14 - (Game: hangman) Write a program that displays a...Ch. 14 - Prob. 14.18PECh. 14 - (Plot the sine and cosine functions) Write a...Ch. 14 - (Draw an arrow line) Write a static method that...Ch. 14 - Prob. 14.21PECh. 14 - (Connect two circles) Write a program that draws...Ch. 14 - (Geometry: two rectangles) Write a program that...Ch. 14 - (Geometry: Inside a polygon?) Write a program that...Ch. 14 - Prob. 14.25PECh. 14 - Prob. 14.27PECh. 14 - (Random time) Modify the ClockPane class with...Ch. 14 - (Game: bean machine) Write a program that displays...
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