'Mid 1' diaporamas de présentation

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Chapter 2 Complexity Analysis

Chapter 2 Complexity Analysis. Objectives. Discuss the following topics: Computational and Asymptotic Complexity Big-O Notation Properties of Big-O Notation ? and ? Notations Examples of Complexities Finding Asymptotic Complexity: Examples Amortized Complexity

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Contents of Chapter 3

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Stuff

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Functions and Program Structure

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??

??. ??? sorting ?????????????????????????????????????????????????????????? ????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????. ????.

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Recursion

Recursion. Dr. Bernard Chen Ph.D. University of Central Arkansas. Mathemetical Induction. To prove. Let p ( n ) denote the statement involving the integer variable n . The Principle of Mathematical Induction states:

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Topic 14 Searching and Simple Sorts

Topic 14 Searching and Simple Sorts. "There's nothing in your head the sorting hat can't see. So try me on and I will tell you where you ought to be." -The Sorting Hat, Harry Potter and the Sorcerer's Stone. Sorting and Searching. Fundamental problems in computer science and programming

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Mergesort, Analysis of Algorithms

Mergesort, Analysis of Algorithms. Jon von Neumann and ENIAC (1945). Why Does It Matter?. Run time (nanoseconds). 1.3 N 3. 10 N 2. 47 N log 2 N. 48 N. Time to solve a problem of size. 1000. 1.3 seconds. 10 msec. 0.4 msec. 0.048 msec. 10,000. 22 minutes. 1 second. 6 msec.

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Outline

Outline. Announcements: HW II Idue Friday! Validating Model Problem Software performance Measuring performance Improving performance. Validating Model Problem. Our solution C is only an approximation of the true solution The accuracy of the approximation will depend on dt dx

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Outline

Outline. Announcements: HW III due Friday! HW II returned soon Software performance Architecture & performance Measuring performance. Software Performance. Factors influencing speed Hardware Clock speed, memory size/speed, bus speed Algorithmic scaling What happens as n gets big?

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Computability

Computability. O(n) exercises. Searching. Shuffling Homework: review examples. Research other shuffling. Recall . O() notation has <= A function f(n) is of order Big Oh g(n) if there exists a constant c and a number n 0 such that f(n) <= g(n) if n>= n o() notation has strictly <

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????????? ?????

????????? ?????. Brute Force. Module Module1 Function BruteForce(ByRef x() As Integer, ByRef item As Integer) As Integer Dim i As Integer For i = 0 To x.Length() - 1 If (x(i) = item) Then Return i End If Next

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General Chemistry 101

General Chemistry 101. Abhinandan Chowdhury ( ACh ). Lecturer Dept. Biochemistry & Microbiology North South University Dhaka, Bangladesh Email; abcnsuedu@gmail.com Website: www.abhinandanchowdhury.weebly.com Room: SAC 833 (C) Research Interest: Biotechnology, Virology and Venomics.

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Mergesort

Department of Computer and Information Science, School of Science, IUPUI. Mergesort. Dale Roberts, Lecturer Computer Science, IUPUI E-mail: droberts@cs.iupui.edu. Computational Complexity. Framework to study efficiency of algorithms. Example = sorting.

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CSE 3358 Note Set 5

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Interpolation search:

Interpolation search:. Interpolation search parallels how humans search through a telephone book. Instead of comparing against every item like the linear search , it attempts to find the item by approximating how far the item is likely to be from the current position. Algo.

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?? 1 --- ??

?? 1 --- ??. unimodalSearch (A[1..n]) low = 1; high = n; while (low < high) mid = low + (high - low)/2; if (A[mid] < A[mid+1]) low = mid + 1; else high = mid; return A[low]; // here low==high anyway.

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