Computers and Technology, 15.04.2020 00:38 Jharsh2300

Description:
In this assignment, you are asked to implement a dynamic programming algorithm for the matrix chain multiplication problem, where the goal is to find the most computationally efficient matrix order when multiplying an arbitrary number of matrices in arow. You can assume that the entire input will be given as integers that can be stored using the standard C int type and that matrix sizes will be at least 1.

Input:
The input has the following format. The first number, n ≥ 1, in the test case will tell you how many matrices are in the sequence. The first number will be then followed by n + 1 numbers indicating the size of the dimensions of the matrices. Recall that the given information is enough to fully specify the dimensions of the matrices to be multiplied.
Output:
First, you need to output the minimum number of scalar multiplications needed to multiply the given matrices. Then, print the matrix multiplication sequence, via parentheses, that minimizes the total number of number multiplications and the . for multiplication symbol. Each matrix should be named A#, where # is the matrix number starting at 0 (zero) and ending at n − 1. See the examples below.

Examples of input and output:
2
2 3 5
30
(A0.A1)

3
10 100 5 50
7500
((A0.A1).A2)

3
10 30 5 60
4500
((A0.A1).A2)

6
30 35 15 5 10 20 25
15125
((A0.(A1.A2)).((A3.A4).A5))

Answers: 3

Show answers

Another question on Computers and Technology

Computers and Technology, 22.06.2019 11:00

What is the foundation for proper monitoring, load balancing and routing in distributed systems

Answers: 3

Answer

Computers and Technology, 22.06.2019 20:00

What statement best describes operating systems? it’s possible for modern computers to function without operating systems. most operating systems are free or very inexpensive. operating systems are managed by the computer’s microprocessor (cpu). operating systems manage the computer’s random access memory (ram).

Answers: 1

Answer

Computers and Technology, 23.06.2019 07:00

Why were most movies from the late 1890s until the early 1930s only filmed in black and white? there were only a few people who could afford the technology to produce color motion pictures back then. audiences did not want color motion pictures until later. the film used to make color motion pictures often overheated, which was a safety hazard, so it was generally not allowed. color films had to be hand-colored, frame by frame.

Answers: 3

Answer

Computers and Technology, 23.06.2019 18:00

File account.java (see previous exercise) contains a definition for a simple bank account class with methods to withdraw, deposit, get the balance and account number, and return a string representation. note that the constructor for this class creates a random account number. save this class to your directory and study it to see how it works. then write the following additional code: 1. suppose the bank wants to keep track of how many accounts exist. a. declare a private static integer variable numaccounts to hold this value. like all instance and static variables, it will be initialized (to 0, since itâ€™s an int) automatically. b. add code to the constructor to increment this variable every time an account is created. c. add a static method getnumaccounts that returns the total number of accounts. think about why this method should be static - its information is not related to any particular account. d. file testaccounts1.java contains a simple program that creates the specified number of bank accounts then uses the getnumaccounts method to find how many accounts were created. save it to your directory, then use it to test your modified account class.

Answers: 3

Answer

You know the right answer?

Description:
In this assignment, you are asked to implement a dynamic programming algorithm fo...

Questions