Programming Project 6 - program that given some English word finds other valid English

You will write a program that given some English word finds other valid English words that have exactly the same letters. For example given the word cat the program finds the word act which is another word with the same letters. The program relies on an English dictionary to verify whether or not a string is a valid English word.

Part 1:

You plan to make a set of all the words in the dictionary (all converted to lowercase). Then, given a word, you plan to make “words” from all the combinations of the letters and check whether each is in the set. If yes, it is a valid English word and you add it to the result. For example, for the word “cat”, the combinations are “act”, “atc”, “cat”, “cta”, “tac”, “tca”. “act” is in the dictionary and thus valid.
Analyze the runtime and memory footprint of this algorithm and give the big O. Write your brief and clear answer in the report. No code to write at all.

Part 2:

After some thinking you realize that if you could somehow group dictionary words having the same letters into separate groups, then you could find all the matching words for a given word by only searching through that word’s group. This approach reminds you very much of the way a hash table using separate chaining is implemented and you decide to implement this solution. The only Java API data structures you can use are arrays and java.util.LinkedList.
Hints:
– Make sure you understand the problem and your approach really well before you write even one line of code. Start by looking at the given test code. The algorithm and code you will write is not complicated, but can get complicated really fast if you are not clear about what you are doing. Make sure you understand the concept of hashing and how separate chaining was implemented.
– A common problem when performing a mod operation (e.g. h % size) is when h is negative. You can handle negative results by adding size.
– Test code has been given to you. Start first with some simple tests and, as you gain confidence that your code works, run all the functional tests and then the stress tests to ensure your solution is efficient.

Deliverables:
You should submit a zip file named project6_first_last.zip (where first and last are your first and last name) containing ONLY the files below.

Project6.java report.txt : a text (not Word, Power Point, …) file containing ONLY:
a) A 1 to 10 lines paragraph from you saying “I have tested this program and there are no known issues.” if you believe that to be the case, or a brief description of known issues in case your program has known problems or you could not fully implement it.
b) The complexity analysis for Part 1
How you get points:
– Part 1 20 points
– Part 2 80 points
How you lose points:
– If you do not follow the given directions and decide to make changes “for fun”. Specifically, do not change the code given to you. Just fill in the missing parts.
– If your implementation is inefficient. Your solution should be efficient to a level seen in class for similar problems
– If your code does not follow good coding practices or is convoluted. Break parts of the problem into methods with a clear task. Your solution should be easy to understand and modify.
– If any of your code prints anything at all on the console. Remove all your print outs, debug statements, etc. Clean up your code and do not leave clutter behind.
– If your code has no comments where needed. Comment your code appropriately. Brief and to the point.
– If you submit your whole workspace or executable files. Submit only the files the project asks for.