'Middle 1' presentation slideshows

Chapter 7 Sorting

1.13k views • 102 slides

Recursion

Recursion. Recursion: Definition. Function that solves a problem by relying on itself to compute the correct solution for a smaller version of the problem Requires terminating condition : Case for which recursion is no longer needed. Factorial Recursion. Factorial: n! = n * (n-1)!

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Introduction to Data Structure

Introduction to Data Structure. Ju, Hong Taek Keimyung University Dept. of Information & Communication juht@kmu.ac.kr Tel: 580-5234. Lecturer: Ju, Hong Taek. Dept. of Information & Communication E-Mail: juht@kmu.ac.kr Tel: 580-5234 Web: http://home.kmu.ac.kr/~juht

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Basic Concepts

Basic Concepts. Chapter 1. Overview: System l ife c ycle. Requirements Analysis Bottom-up Top-down Design Data objects (abstract data type) and operations (algorithm) Refinement and coding Verification Correctness proofs Testing Error removal. Data abstraction and encapsulation.

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Chapter 11

Chapter 11. Searching. Chapter Outline. Objectives Do a simulation by hand of a serial search or binary search Demonstrate why binary search has a logarithmic worst-cast performance Do a simulation by hand of an insertion or removal of an element from an open-address or chained hash table

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Largest Contiguous Sum

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Data Structures

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Arrays

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Quick Sort

Quick Sort. Quick Sort. Divide : Pick any element p as the pivot , e.g, the first element Partition the remaining elements into FirstPart, which contains all elements < p SecondPart, which contains all elements ? p Recursively sort the FirstPart and SecondPart

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??- 150 ???????????????. ?????????? ??? ?????????. Straight Selection Sort. void straightselection(int array[],int len) { int i,j,min,minI,tmp; for (j=0;j<len-1;j++) { minI = j; min = array[minI]; for (i=j+1;i<len;i++) { if (array[i]< min) minI=i; min = array[minI]; }

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Sorting Data

Sorting Data. Considerations Average, best, worst case complexity For swaps and compares Is extra memory required? Difficulty to program? Stability of equal keys What is the fastest possible sort using comparisons?. Elementary Sorting Methods Complexity O(n 2 ), All are Stable.

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Lower Bound on Comparison-based Search

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1. PROCEDURE MERGE SORT (list, first, last) If (first < last) middle = (first + last) div 2

PROCEDURE MERGE While (L1 not empty) AND (L2 not empty) Compare the next pair of items IF (item from L1) <= (item from L2) Then store item from L1 to newlist and get next item from L1 Else store item from L2 to newlist and get next item from L2 Endif

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Geronimo Stilton 51 Plot Graph

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Geronimo Stilton 51 Plot Graph

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