Euclidean algorithm In mathematics‚ the Euclidean algorithm‚ or Euclid’s algorithm‚ is a method for computing the greatest common divisor (GCD) of two (usually positive) integers‚ also known as the greatest common factor (GCF) or highest common factor (HCF). It is named after the Greek mathematician Euclid‚ who described it in Books VII and X of his Elements. The GCD of two positive integers is the largest integer that divides both of them without leaving a remainder (the GCD of two integers in
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THE THREE ELEMENTARY SORTING ALGORITHMS Bubble Sort Bubble Sort is probably one of the oldest‚ easiest‚ straight-forward‚ and inefficient sorting algorithms. It is the algorithm introduced as a sorting routine in most introductory courses on Algorithms. Bubble Sort works by comparing each element of the list with the element next to it and swapping them if required. With each pass‚ the largest of the list is "bubbled" to the end of the list whereas the smaller values sink to the bottom.
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This file contains the exercises‚ hints‚ and solutions for Chapter 5 of the book ”Introduction to the Design and Analysis of Algorithms‚” 2nd edition‚ by A. Levitin. The problems that might be challenging for at least some students are marked by ◃; those that might be difficult for a majority of students are marked by . Exercises 5.1 1. Ferrying soldiers A detachment of n soldiers must cross a wide and deep river with no bridge in sight. They notice two 12-year-old boys playing in a rowboat by the
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Floyd-Warshall’s All-Pairs Shortest Path algorithm‚ which should give you an idea of the detail that is required in your own solution for assignment 1. Floyd’s Algorithm • Graph Problem: All-Pairs Shortest Path • Input: A weighted graph denoted by adjacency matrix W . (The vertices are assumed to be numbered from 1 to n) • Output: Matrix D containing the length of the paths (or distances) between each vertex in the graph. • Input Size: matrix W . 1 2 3 4 5 6 7 The number of vertices
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Overview The reasoning in fuzzy logic is similar to human reasoning. It allows for approximate values and inferences as well as incomplete or ambiguous data (fuzzy data) as opposed to only relying on crisp data (binary yes/no choices). Fuzzy logic is able to process incomplete data and provide approximate solutions to problems other methods find difficult to solve. Terminology used in fuzzy logic not used in other methods are: very high‚ increasing‚ somewhat decreased‚ reasonable and very low
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are P -No S are P -Some S are P -Some S are not P Exercise 4.1 1. Subject: Airport Screener. Predicate: Officials who harress frail Grandmothers; Some;SomeSareP 2. people who live near airport; people who appreciate the noise;None; 3. Oil based paints; contribute to Smog;All;Are;AllSareP 4. Preachers;intolerant;some;are; 5. trials;guilty verdict;All;Are; 6. artificial hearts;prone to failure;Some;Are 7. sex ed course;eroding public morals;No 8. Universities research; institutions
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Object-oriented Programming/Event-Driven Programming versus Procedural Programming Professor Computer Program Design Object-oriented Programming/Event-Driven Programming versus Procedural Programming There are many advantages of using Object-oriented Programming (OOP) over Procedural Programming (PP). When using inheritance‚ you can develop new classes more quickly by extending existing classes that already work; you need to concentrate only on new features added by the new class.
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IS3340 Egon Week 3 Lab 1. Enforce Password. This makes it so you cannot use the same password more than once or more than 10 times‚ etc. When you change your password‚ it cannot be the password you were just using. 2. No. This stores plaintext password. This can be a risk. It’s default “disabled”. 3. Store passwords using reversible encryption is required for certain remote access protocols. It is also required to VPN in most cases. 4. To be more secure‚ of course. 5. If the computer is on the
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Engineering‚ University of Jember‚ Jember‚ Indonesia (Tel : +62-0331-484977 ; E-mail: kh.anam.sk@gmail.com) 2 Department of Electrical Engineering‚ University of Bhayangkara‚ Surabaya‚ Indonesia (Tel : + 62-031-8285602; E-mail: prihtn@yahoo.com) 3 Department of Electrical Engineering‚ Petra Christian University‚ Surabaya‚ Indonesia (Tel : +62-031-8439040; E-mail: handy@petra.ac.id ) 4 Department of Electrical Engineering‚ Institut Teknologi Sepuluh Nopember‚ Surabaya‚ Indonesia (Tel : +62
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Integer Programming 9 The linear-programming models that have been discussed thus far all have been continuous‚ in the sense that decision variables are allowed to be fractional. Often this is a realistic assumption. For instance‚ we might 3 easily produce 102 4 gallons of a divisible good such as wine. It also might be reasonable to accept a solution 1 giving an hourly production of automobiles at 58 2 if the model were based upon average hourly production‚ and the production had the interpretation
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