Introduction CptS 223 Advanced Data Structures Larry Holder - PowerPoint PPT Presentation

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Introduction CptS 223 Advanced Data Structures Larry Holder School of Electrical Engineering and Computer Science Washington State University 1 Advanced Data Structures Why not just use a big array? Example problem Search

Introduction CptS 223 – Advanced Data Structures Larry Holder School of Electrical Engineering and Computer Science Washington State University 1
Advanced Data Structures � “Why not just use a big array?” � Example problem � Search for a number k in a set of N numbers � Solution � Store numbers in an array of size N � Iterate through array until find k � Number of checks 15 10 22 3 12 19 27 � Best case: 1 (k= 15) � Worst case: N (k= 27) � Average case: N/2 2
Advanced Data Structures � Solution # 2 � Store numbers in a binary search tree � Search tree until find k 15 � Number of checks 10 22 � Best case: 1 (k= 15) 3 12 19 27 � Worst case: log 2 N (k= 27) � Average case: (log 2 N) / 2 3
Analysis � Does it matter? � N vs. (log 2 N) 100 90 80 Number of Checks 70 60 N 50 log2 N 40 30 20 10 0 10 20 30 40 50 60 70 80 90 100 N 4
Analysis � Does it matter? � Assume � N = 1,000,000,000 � 1 billion (Walmart transactions in 100 days) � 1 Ghz processor = 10 9 cycles per second � Solution # 1 (10 cycles per check) � Worst case: 1 billion checks = 10 seconds � Solution # 2 (100 cycles per check) � Worst case: 30 checks = 0.000003 seconds 5
Advanced Data Structures � Moral � Appropriate data structures ease design and improve performance � Challenge � Design appropriate data structure and associated algorithms for a problem � Analyze to show improved performance 6
Course Overview � Advanced data structures � Trees, hash tables, heaps, disjoint sets, graphs � Algorithm development and analysis � Insert, delete, search, sort � Applications � Object-oriented implementation in C+ + 7
Course Details � Course website www.eecs.wsu.edu/~ holder/courses/CptS223.html � Email list � Homework 0: Send me your name and email address To: holder@wsu.edu Subject: Student in 223 Name: … Email: … 8

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