Exercises - Lecture 19

Goals

• Know how to read a drawing of a Trie.
• Be able to run on paper and prepared to implement insert, contains, and remove operations on a Trie implementation of the Set and Map ADTs.

19A

1. List all the words stored in the following trie:

   

19B

2. Draw a trie implementing a set of Strings containing the following keys:

an
ant
ants
anti
and
go
goal
gold
goalie
zoo
zone
zones

3. Draw a trie implementation of a Map from integers (use base-10 digits as the symbols) to Strings resulting from the following sequence of operations:

   put(141, "Intro")
   put(145, "Java")
   put(241, "Data Structures")
   put(247, "Systems")
   put(301, "Formal/Functional")
   put(30, "Huh?")

4. Consider the following trie implementing a Set:

   

   Starting with this trie, do the following operations and draw the resulting trie:

insert("ton")
insert("tone")
insert("tones")
insert("tutoring")
delete("data")
delete("tut")
delete("tones")
delete("ton")