Following is the answer to the given question:
a) The second algorithm uses exhaustive search and has O(n 2^n) running time.
The longest increasing subsequence problem can be formulated as follows: input: n, a positive int...
2. (40 pts) Let A, B, and C be three strings each n characters long. We want to compute the longest subsequence that is common to all three strings. (a) Let us first consider the following greedy algorithm for this problem. Find the longest common subsequence between any pair of strings, namely, LCS(A, B) LCS(B, C), LCS(A, C). Then, find the longest common subsequence between this LCS and the 3rd string. That is, supposing that the longest common pair wise...
2. (40 pts) Let A, B, and C be three strings each n characters long. We want to compute the longest subsequence that is common to all three strings. (a) Let us first consider the following greedy algorithm for this problem. Find the longest common subsequence between any pair of strings, namely, LCS(A, B). LCS(B,C), LCS(A, C). Then, find the longest common subsequence between this LCS and the 3rd string. That is, supposing that the longest common pair wise subsequence...
2. (25) [Rising trend] Textbook Exercise 17 in Chapter 6. The problem to solve is, in other words, to select from a sequence of n numbers a subset, including the first number, such that the selected numbers make a longest monotonously increasing sequence. In the exercise b, (i) write an optimal substructure (with an explanation),ii) write the iterative dynamic programming algorithm (pseudocode), and (iii) show the running-time analysis. Hints: the algorithm in the exercise a is a greedy algorithm; the...
I really would appreciate some help with this assignment and include comments please as I am in this for learning. Part I: Maximum increasing subsequence (adapted from Programming Exercise 22.2) Write a program MaxlncreasingSubseq.java that prompts the user to enter a string and displays a maximum length increasing subsequence of characters. Here are four sample runs Enter a string: zebras ers Enter a string: Welcome Welo Enter a string: mmmoooooovwwvee mov Enter a string: abqrstcxyzdefghij abcdefghij You must use dynamic...
Convert the pseudocode into a C++ function Decrease-by-Half Algorithm We can solve the same problem using a decrease-by-half algorithm. This algorithm is based on the following ideas: In the base case, n 1 and the only possible solution is b 0, e 1 In the general case, divide V into a left and rnight half; then the maximum subarray can be in one of three places: o entirely in the left half; o entirely in the right half; or o...
What is the role of polymorphism? Question options: Polymorphism allows a programmer to manipulate objects that share a set of tasks, even though the tasks are executed in different ways. Polymorphism allows a programmer to use a subclass object in place of a superclass object. Polymorphism allows a subclass to override a superclass method by providing a completely new implementation. Polymorphism allows a subclass to extend a superclass method by performing the superclass task plus some additional work. Assume that...
This C++ Program consists of: operator overloading, as well as experience with managing dynamic memory allocation inside a class. Task One common limitation of programming languages is that the built-in types are limited to smaller finite ranges of storage. For instance, the built-in int type in C++ is 4 bytes in most systems today, allowing for about 4 billion different numbers. The regular int splits this range between positive and negative numbers, but even an unsigned int (assuming 4 bytes)...
!!!!!!!Java!!!!! When you are confident that your methods work properly and that you can generate random text with my generateText method, you can move on to the second step. Create a third class called Generator within the cs1410 package. Make class. This class should have a main method that provides a user interface for random text generation. Your interface should work as follows: Main should bring up an input dialog with which the user can enter the desired analysis level...
Code is in C# Your instructor would like to thank to Marty Stepp and Hélène Martin at the University of Washington, Seattle, who originally wrote this assignment (for their CSE 142, in Java) This program focuses on classes and objects. Turn in two files named Birthday.cs and Date.cs. You will also need the support file Date.dll; it is contained in the starter project for this assignment. The assignment has two parts: a client program that uses Date objects, and a...
Please use own words. Thank you. CASE QUESTIONS AND DISCUSSION > Analyze and discuss the questions listed below in specific detail. A minimum of 4 pages is required; ensure that you answer all questions completely Case Questions Who are the main players (name and position)? What business (es) and industry or industries is the company in? What are the issues and problems facing the company? (Sort them by importance and urgency.) What are the characteristics of the environment in which...