COMP 3270 Homework 3 Solutions 1. (7 points) Heapsort Show the array A after the algorithm Min-Heap-Insert(A, 6) is operates on the Min Heap implemented in array A=[6, 8, 9, 10, 12, 16, 15, 13, 14, 19, 18, 17]. In order to solve this problem you have to do some of the thinking assignment on […]
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Introduction 1 Sorting A universal problem! Many applications often incorporate sorting There is a wide variety of sorting algorithms, and they use rich set of techniques. 2 Sorting algorithm Insertion, Bubble, Selection sorts: Non-recursive In place: only a constant number of additional storage locations (for local variables) are used outside the array. Merge sort :
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Correctness Proofs Reading Assignments By now you should have already read Chapter 1 Now read Chapter 2 Section 2.1 Computational Problem Solving Problems Designing solution strategies Developing algorithms Writing algorithms that implement the strategies Understand existing algorithms and modify/reuse Understanding an algorithm by simulating its operation on an input Ensuring/proving correctness Analyzing and comparing performance/efficiency
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CISC 603: Theory of Computation CISC 603: Theory of Computation Textbook Primary – Linz 6e Supplemental – Rosen 7e What does this course cover? Computational Theory In theoretical computer science, the theory of computation is the sub-discipline that focuses on how efficiently problems can be solved on a model of computation (mathematical abstraction of a
Introduction Quicksort Chapter 7 Read 7.1-7.3 Omit 7.4 2 7.1 Description of quicksort Divide Conquer Combine 3 4 Partition(A, p, r) 1 x = A[r] 2 i = p – 1 3 for j = p to r -1 4 if A[j] ≤ x 5 then i = i + 1 6 swap A[i] and
CS计算机代考程序代写 algorithm Introduction Read More »
Introduction Computational Problem Solving Problems Designing solution strategies Developing algorithms (iterative and recursive) Writing algorithms that implement the strategies Understand existing algorithms and modify/reuse Understanding an algorithm by simulating its operation on an input Checking/proving correctness Analyzing and comparing performance: complexity or efficiency Theoretically: Using a variety of mathematical tools Empirically: Code, run and collect
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Introduction Sorting in linear time Chapter 8 Omit Section 8.1 and parts from other sections as stated in the slides 2 Comparison Sorts Sorting by comparing pairs of numbers Algorithms that sort n numbers in O(n2) time Insertion, Selection, Bubble Algorithms that sort n numbers in O(nlgn) time Merge, Heap and Quick Sort 3 Comparison
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COMP 3270 Homework 1 Solutions to Selected Problems Computational problem solving: Estimating problem solving time: Suppose there are three algorithms to solve a problem- a O(n) algorithm (A1), a O(nlogn) algorithm (A2) and a O(n2) algorithm (A3) where log is to the base 2. Using the techniques and assumptions in slide set L2-SelectionProblem.ppt, determine how
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Introduction Ch.22.Elementary Graph Algorithms Read all sections Omit theorems, corollaries, lemmas and their proofs (but learn the results described in the slides) 2 Conventions V – set of vertices or nodes E – set of edges |V| = # of vertices or nodes = n |E| = # of edges = m 3 22.1 Representations
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Reading Assignment Reading Assignment Read Chapter 1 Mirror…mirror on the wall, who’s the biggest trader of’em all? Suppose you are hired by Warren Buffet to a well-paid job at Berkshire Hathaway. Suppose on your first day Mr. Buffet shows up at your cubicle and tells you: “write a program to find out the fifth largest
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