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0 Binary Tree Iterators After today, you should be able to implement _lazy_ iterators for trees implement insertion into a BST 1 Exam 1 Day 11: but when and where? Coverage: Everything from reading and lectures,

  1. 0 Binary Tree Iterators After today, you should be able to… … implement _lazy_ iterators for trees … implement insertion into a BST

  2. 1  Exam 1 – Day 11: but when and where? ◦ Coverage:  Everything from reading and lectures, Sessions 1-10  Programs through BinaryTrees  Homeworks 1-3 ◦ Allowed resources:  Written part: ½ of one side of 8.5 x 11 paper  Goal: to force you to summarize.  Programming part:  Textbook  Eclipse (including programs you wrote in your repos)  Course web pages and materials on Moodle  Java API documentation  A previous 230 Exam 1 is available in Moodle

  3.  Binary Tree Iterators ◦ Especially (yawn) lazy ones  BinarySearchTree (BST) insertion

  4. What if we want to iterate over the elements in the nodes of the tree one-at-a-time instead of just printing all of them?

  5.  Consider a tree with 1 million elements.  What is the runtime of iterating over only the first 100 elements?  (example on board)  To improve efficiency, the iterator should only get as few elements as possible ◦ The one time where being lazy has a reward!

  6.  What are they?  How would you make a lazy pre-order order iterator? (brainstorm an algorithm now)  What do you need to add to create the other recursive iterators?  What about the last iterator? ◦ A quick change. Magic? Not really…

  7. Otherwise, you’ll use a loop. Examples:  Lazy iterators (today): ◦ use a stack too.  AVL trees (week 4-5): ◦ use pointer to parents to move up tree and “rebalance”  Threaded trees (HW5 and 6): ◦ use pointer to next and previous in-order nodes

  8. Aim to complete at least Milestone 1 of BinarySearchTrees by next class We’ll start next topic during last 20 min of class

  9.  How does one insert into a BST?  Rules: ◦ Assume you have a BST ◦ All elements are Comparable ◦ There is only one place to insert the element while keeping the tree a BST ◦ Duplicate elements not allowed (we are implementing TreeSet)  More on BSTs next class

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