Question: The longest common subsequence problem is as follows: Given two sequences A = a1, a2, . . . , aM, and B = b1, b2,

The longest common subsequence problem is as follows: Given two sequences A = a1, a2, . . . , aM, and B = b1, b2, . . . , bN, find the length, k, of the longest sequence C = c1, c2, . . . , ck such that C is a subsequence (not necessarily continguous) of both A and B. As an example, if
A = d,y,n,a,m,i,c
and
B = p,r,o,g,r,a,m,m,i,n,g,
then the longest common subsequence is a,m,i and has length 3. Give an algorithm to solve the longest common subsequence problem. Your algorithm should run in O(MN) time.

Step by Step Solution

★★★★★

3.32 Rating (179 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

This is a classic program using dynamic programming Let the matrix M i j be the intege... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1486-C-S-A(546).docx

120 KBs Word File

Students Have Also Explored These Related Algorithms Questions!

The longest increasing subsequence problem is as follows: Given numbers a1, a2, . . . , aN, find the maximum value of k such that ai1

In Figure 13.14, we illustrate that GTTTAA is a longest common subsequence for the given strings X and Y. However, that answer is not unique. Give another common subsequence of X and Y having length...

The one-dimensional circle packing problem is as follows: You have N circles of radii r1, r2, . . . , rN. These circles are packed in a box such that each circle is tangent to the bottom of the box...

Applied Mathematics and Computation 95 (1998) 181192 Love dynamics: The case of linear couples Sergio Rinaldi 1 Centro Teoria dei Sistemi, CNR, Politecnico di Milano, Via Ponzio 34/5, 20133 Milan,...

Name: PMAN 635 9041 Final Exam Please do any ten of the following questions. If you do all twelve, I will credit you for the best ten. Each question you do will be worth ten percent of your final...

Course : Advance Analysis Of Algorithms Urgent Required : Need a Critical Review Of this Research Paper Proceedings of the Twenty-First International Joint Conference on Artificial Intelligence...

Write a 250-300 word section on governmental structure and size of budget and it interrelationship with the CAFR from the attached Middleton CT CAFR sheet. Comprehensive Annual Financial Report City...

Review the Comprehensive annual financial report (CAFR) you obtained. 4. Were any of the government's enterprise funds "profitable" during the year? If so for what has the government done with the...

Locate and review a copy of the budget accompanying your selected CAFR. Prepare a 700- to 1,050-word overview of the government that filed your selected CAFR. Include the following information in...

Longest common subsequence of three strings. We are given three strings a-(a, a2,a!), b = (h, b2. . . . , b,n), and c = (ci, C2, . . . , G.) Find the maximum length of a common subsequence of a, b,...

Two identical buggies move one after the other due to inertia (without friction) with the same velocity vo A man of mass m rides the rear buggy. At a certain moment the man jumps into the front buggy...

In the Strain Gauge lab session, you will be measuring bending of a beam shown in figure 3 In the Strain Gauge Lab session, you will be measuring bending of a beam shown in Figure 3 using two strain...

& Cual es la principal caracteristica de la tasa efectiva anual (TEA) y por que es importante en la comparacion de opciones de inversion o financiamiento? O a) La tasa efectiva anual es mas baja que...

Marco is having difficulty choosing between two tennis racquets, A and B. As shown in the diagram, A has more power than B, but less control. According to the rational choice model, how will the...

For each B+-tree as shown below show the steps involved in the following queries: a. Find records with a search-key value of 11. b. Find records with a search-key value between 7 and 17, inclusive....

For each B+-tree as shown below show the form of the tree after each of the following series of operations: a. Insert 9. b. Insert 10. c. Insert 8. d. Delete 23. e. Delete 19. Construct a B+-tree for...

Consider the modified redistribution scheme for B+-trees described in page 463. What is the expected height of the tree as a function of n?

Please show work Question 10 Airlines often sell more tickets for a flight than there are seats, because some ticket holders don't show up for the flight. An airline estimates that 93% of ticket...

ques 6 General Requirements For each of the functions described in questions 1 to 6 you are to: 1. Modify the function to count the number of operations performed when the function executes. Some...

You have been given the following return information for a mutual fund, the market index, and the risk - free rate. You also know that the return correlation between the fund and the market is 0 . 9...