# Algorithm Problems

## 1. Problem

i. Implement a method that multiplies two N x N matrices (represented as two dimensional arrays of doubles) using the algorithm that computes the row i column j entry of A * B by taking the dot product of row i of A with column j of B.

ii. Compute T(N) for this algorithm.

iii. Using the profiler introduced in class build a table that compares the runtimes of your algorithm for N = 3, 10, and 100.

## 2. Problem

i. Implement a method that computes the determinant of an N x N matrix (represented as two dimensional arrays of doubles).

ii. Compute T(N) for this algorithm.

iii. Using the profiler introduced in class build a table that compares the runtimes of your algorithm for N = 3, 10, and 100.

### Hint

class MatOps {

public static double[][] mult(double[][] mat1, double[][] mat2) { ??? }

public static double det(double[][] mat) { ??? }

// etc.

}

## 3. Problem

A Boolean expression is an expression built up by combining an array of Boolean variables using the operations &&, ||, and !. For example, assume:

boolean[] atom = new boolean[3];

Here's an example of a Boolean expression:

atom[0] && !atom[1] || !(atom[2] || atom[1])

Write an algorithm that expects as input a Boolean expression (in the form of a tree) and an array of Boolean values

## Deliverables

1) Complete and fully-functional working program(s) in executable form as well as complete source code of all work done.

2) Deliverables must be in ready-to-run condition, as follows (depending on the nature of the deliverables):

a) For web sites or other server-side deliverables intended to only ever exist in one place in the Buyer's environment--Deliverables must be installed by the Seller in ready-to-run condition in the Buyer's environment.

b) For all others including desktop software or software the buyer intends to distribute: A software installation package that will install the software in ready-to-run condition on the platform(s) specified in this bid request.

3) All deliverables will be considered "work made for hire" under U.S. Copyright law. Buyer will receive exclusive and complete copyrights to all work purchased. (No GPL, GNU, 3rd party components, etc. unless all copyright ramifications are explained AND AGREED TO by the buyer on the site per the coder's Seller Legal Agreement).

## Platform

Prog in Java. Should be able to run on textpad.

Here is the profiling method:-

Kemahiran: Kejuruteraan, Java, MySQL, PHP, Kejuruteraan Perisian, Ujian Perisian

Tentang Majikan:
( 11 ulasan ) United States

ID Projek: #3258937

TheHero

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\$8 USD dalam 2 hari
(13 Ulasan)
2.7

## 5 pekerja bebas membida secara purata \$9 untuk pekerjaan ini

maximustech

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5.6
smitsvw

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\$11.05 USD dalam 2 hari
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1.1