This is an individual coding assignment. The objective is to implement the R-tree. Each submission will be graded based on correctness.

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

Program: Python

 

This is an individual coding assignment. The objective is to implement the R-tree. Each submission will be graded based on correctness. The rest of the document explains the details.

How Your Submission Will Be Tested:

[Dataset]: You will be given a dataset that contains 2D points. The dataset will be provided in a text file as the following format:

 

id 1 x 1 y 1

id 2 x 2 y 2

...

id n x n y n

 

Every line gives a point’s id, x-, and y-coordinates. Your program should build an R- tree in memory from the dataset.

[Range Query]: You will be given a set of 100 range queries in a text file whose format is:

 

x 1 x’ 1 y 1 y’ 1

x 2 x’ 2 y 2 y’ 2

...

x 100 x’ 100 y 100 y’ 100

 

That is, each line specifies a query whose rectangle is [x, x′] × [y, y′]. Then, we will measure its query efficiency as follows.

You should output to a disk file:

 

• Firstly, your program should display the time of answering queries by reading the entire dataset sequentially. This time serves as the sequential-scan benchmark to be compared with the cost of your query algorithms that leverage the R-tree.

• Secondly, display the number of points returned by each query-note: we need only the number of points retrieved, instead of the details of those points.

• Thirdly, display the total running time of answering all the 100 queries, and the average time of each query (i.e., divide the total running time by 100).

 

Attachments:

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