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ECE250: Lab Project 3 solution

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ECE250: Lab Project 3

1. Project Description
The goal of this project is to write a C++ implementation for a Quadtree that stores
informations related to cities based on their latitudes and longitudes. Each node of the tree
holds information such as population, cost of living, and average net salary.
A quadtree is a tree data structure in which each internal node has exactly four children. A
node of a point quadtree [1] is similar to a node of a binary tree, with the major difference
being that it has four pointers (one for each quadrant) instead of two (“left” and “right”) in the
binary tree. Also, a key is usually decomposed into two parts, referring to x and y coordinates.
Therefore, a node contains the following information:

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ECE250: Lab Project 3

1. Project Description
The goal of this project is to write a C++ implementation for a Quadtree that stores
informations related to cities based on their latitudes and longitudes. Each node of the tree
holds information such as population, cost of living, and average net salary.
A quadtree is a tree data structure in which each internal node has exactly four children. A
node of a point quadtree [1] is similar to a node of a binary tree, with the major difference
being that it has four pointers (one for each quadrant) instead of two (“left” and “right”) in the
binary tree. Also, a key is usually decomposed into two parts, referring to x and y coordinates.
Therefore, a node contains the following information:
• four pointers: quad[‘NW’], quad[‘NE’], quad[‘SW’], and quad[‘SE’]
• point which in turn contains:
o key: usually expressed as x, y coordinates
o value: such as the name of a city.
When inserting a node (x1,y1) under node (x,y) the new node is placed in one of the four
directions following these rules:
• If x1 = x and y1 y, (x1,y1) is placed in the NE child node.
• If x1 < x and y1 = y, (x1,y1) is placed in the NW child node.
• If x1 <= x and y1 < y, (x1,y1) is placed in the SW child node.
• If x1 x and y1 <= y, (x1,y1) is placed in the SE child node.
We ask that you write a C++ class Quadtree using a recursive approach. This Quadtree
will store cities and data about the city. When inserting each city into the tree, you will use
the longitude and latitude of the city position as the coordinates x and y, respectively.
Your C++ implementation allows a user to issue different queries on the cities based on their
geographical locations. For examples: What is the total population for cities located in North
East of Toronto? What is the city with the lowest cost of living in South East of Ottawa?
2. Program Design
Write a short description of your design. You will submit this document along with your C++
solution files for marking. This document must include your design decisions. Please refer to
the course website for “Programming Guidelines” and the expected content for your design
document.
3. Project Requirements
Write a test program (named qttest.cpp) which will read commands from standard input
and write the output to standard output. The program will respond to the commands
described in this section.
2
In the table below “city_info” represents a set of attributes separated by a semicolon:
• Name
• Longitude (x)
• Latitude (y)
• Population (p)
• Cost of Living (r)
• Average Net Salary (s)
For example, “Toronto;43.66;-79.42;5213000;2157;3396”.
In addition, “d” represents a direction: NW, NE, SW or SE. “attr” can be “p”, “r”, or “s” which
represents corresponding attribute described above.
Command Parameters Description Output
i city_info Inserts a node for a city
with a set of attributes
success: if the insertion
command was successful
failure: if the insertion command
was unable to complete since the
city was already there
s x;y Searches for node (x,y) found city_name
not found
q_max x;y;d;attr Finds the maximum
value for attr under
node (x,y) in direction d
max max_value
failure: if the city is not found or
the direction is empty
q_min x;y;d;attr Finds the minimum
value for attr under
node (x,y) in direction d
min min_value
failure: if the city is not found or
the direction is empty
q_total x;y;d;attr Finds the total value for
attr under node x,y in
direction d
total total_value
failure: if the city is not found or
the direction is empty
print Prints the city names in
the tree using an
inorder traversal
city1_name city2_name ..
Note: This is just for checking
whether insertions are correct, the
order should be NE, NW, ROOT,
SW, SE
clear Deletes all the nodes
from the tree
success
size Returns the number of
cities in the tree
tree size count
The time complexity for insert should be O(lg(n)) if balanced, and O(n) for clear.
3
• Test Files
The course website contains example input files for the corresponding output files. The files
are named test01.in, test02.in and so on with the output files named test01.out, test02.out
and so on. The data in the test cases are borrowed from these online sources [2][3].
4. How to Submit Your Program
Once you have completed your solution and tested it comprehensively in your computer or on
the lab computers, you have to transfer your files to the eceUbuntu server and test there since
we perform the automated testing using this environment. Once you finish testing in the
eceUbuntu server, you will create a compressed file (tar.gz) that should contain:
• A typed document (maximum three pages) describing your design. A document beyond
3 pages will not be marked. Submit this document in PDF format. The name of this file
should be:
xxxxxxxx _design_ pn.pdf in which xxxxxxxx is your UW user id (e.g., jsmith) and n is
the project number that is 3 (three) for this submission
• A test program (qttest.cpp) that reads the commands and writes the output
• Required header files and classes (ending in .h .hpp .cpp)
• A make file (named Makefile), with instructions on how to compile your solution and
create an executable file named qtdriver
The name of your compressed file should be xxxxxxxx_pn.tar.gz, where xxxxxxxx is your
UW user id (e.g., jsmith) and n is the project number that is 3 (three) for this submission.
References
[1] https://en.wikipedia.org/wiki/Quadtree#Node_structure_for_a_point_quadtree
[2] https://simplemaps.com/data/ca-cities
[3] https://www.numbeo.com/cost-of-living/