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Homework 3 for CS 412.

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Please read the problem description carefully.
The input will always be valid. We are mainly testing your understanding of frequent pattern mining, not your coding skills.
Please pay special attention to the output format. We will be using the hackerrank based autograder and it is extremely important that your generated output satisfies the requirement.
We don't have specific constrains for this programming question. The only constrains are the standard environment constraints in hackerrank: https://www.hackerrank.com/environment.
The grading will be based on how many test cases you passed. You are provided with two sample test cases to debug your code. For the final grading, we will use additional test cases to test your code.
Please use Piazza first if you have questions about the homework.

Total Score is 50.