Topic 11 Heaps and Tries.

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Presentation transcript:

Topic 11 Heaps and Tries

Announcements Grading Homework 5 solutions will be up today Homework 3 to be graded by today Homework 4 to be graded tomorrow/Thursday Homework 5 solutions will be up today Test in 1.5 weeks Online students: make sure you can take the test on Thursday/Friday. Participation Schedule

Homework 5 solutions

Heaps Priority Queues Definition:

Heap Property

Representation/Implementation

Array attributes

Example representation

Calculating Parent/Child

Heap Operations: Insertion

Pseudocode

Heap Operations: delete-max/min

Announcements Mid-semester Survey (soon) Practice quizzes to be posted Participation questions?

Heap Operations: build-heap

Example

Pseudocode

Heap Sort

Basic Idea

Example

Pseudocode

Stability Original Sorted

Tries

Definition Definition:

Adding fixed-length keys

Alphabet Trie (alphabet from English alphabet)

Analysis (compressed tries) Search Insertion # nodes s

Uses Sort? Search?

Announcements Participation due Past quizzes and survey are up No more programs Test is next week Online students: take midterm the same time as midterm 1 Heap sort best case – O(nlogn)

Participation (problem 1)

Participation (problem 2)

Searching for Suffixes

Example