Chapter 5 Algorithms (1) Introduction to CS 1 st Semester, 2012 Sanghyun Park

Outline  Informal Definition of an Algorithm  FindLargest  Three Basic Constructs  Sorting Algorithms  Searching Algorithms  Recursion  Algorithm Performance(next file)  Time Complexity(next file)  Asymptotic Notation(next file)  Growth Rate(next file)

Informal Definition of Algorithm Used in Computer

Finding the Largest Number Among Five Integers

Defining Actions in FindLargest Algorithm

FindLargest Refined

Generalization of FindLargest

Three Basic Constructs

Flowcharts for Three Constructs

Pseudocode for Three Constructs

Concept of Subalgorithm

Summation

Product

Selection Sort

Example of Selection Sort (1/2)

Example of Selection Sort (2/2)

Selection Sort Algorithm

Bubble Sort

Example of Bubble Sort (1/2)

Example of Bubble Sort (2/2)

Insertion Sort

Example of Insertion Sort (1/2)

Example of Insertion Sort (2/2)

Search Concept

Example of Sequential Search (1/2)

Example of Sequential Search (2/2)

Sequential Search Algorithm When List is Sorted

Example of Binary Search

Binary Search Algorithm

Iterative Definition of Factorial

Recursive Definition of Factorial

Tracing Recursive Solution to Factorial Problem