Learning Outcome: The goal of this assignment is hashing and heaps. It includes testing three hashing implementations. You will also use your best hashing implementation for a simple spell-checker. Acknowledge the sources you use in the README file Q1: Hashing 75 points We first provide a summary of what you will have to do for this question. The deliverables and output format will be provided at the end of the file. You will test each hashing implementation with the following: A) The total number of elements in the table (N), the size of the table (T), the load factor (N/T), the total number of collisions (C), and the average number of collisions (C/N). B) You will check whether each word in another given file, query_words.txt, is in the hash table, print the corresponding output depending on whether the word is found or not found, and how many probes it took to find the word if it exists. Although you are provided with a file, we will use an unseen test file with another file name, which may contain any subset of words from words.txt. To implement the above, you will write a test program named create_and_test_hash.cc. Your programs should run from the terminal like so: ./create_and_test_hash should be “quadratic” for quadratic probing, “linear” for linear probing, and “double” for double hashing. For example, you can write on the terminal: ./create_and_test_hash words.txt query_words.txt quadratic You can use the provided Makefile in order to compile and test your code. Help documents on makefiles have been available on the blackboard under Course Information/Coding Related Documents. You will also find documentation on use of ssh, github repos in the same folder in case you are still not comfortable cloning the repos. For double hashing, the format will be slightly different, namely as follows: ./create_and_test_hash words.txt query_words.txt double The R-value should be used in your implementation of the double hashing technique as discussed in class and described in the textbook: hash2 (x) = R – (x mod R). Q1. Part 1 (15 points) Modify the code provided for quadratic and linear probing and test create_and_test_hash. Note the code provided is from the textbook where it is also discussed in more detail. Do NOT write any functionality inside the main() function within create_and_test_hash.cc. Write all functionality inside the testWrapperFunction() within that file. We will be using our own main, directly calling testWrapperFunction(). This wrapper function is passed all the command line arguments as you would normally have in a main. You will print the values mentioned in part A above, followed by queried words, whether they are found, and how many probes it took to determine so. The exact deliverables and output format are described at the end of the file. Q1. Part 2 (20 points) Write code to implement double_hashing.h, and test using create_and_test_hash. This will be a variation on quadratic probing. The difference will lie in the function FindPos(), which now has to provide probes using a different strategy. As the second hash function, use the one discussed in class and found in the textbook hash2 (x) = R – (x mod R). We will test your code with our own R-values. Further, please specify which R-values you used for testing your program inside your README. Remember to NOT have any functionality inside the main()of create_and_test_hash.cc You will print the current R-value, the values mentioned in part A above, followed by queried words, whether they are found, and how many probes it took to determine so. The exact deliverables and output format are described at the end of the file. Q1. Part 3 (40 points) Now you are ready to implement a spell checker by using a linear, quadratic or double hashing algorithm. Given a document, your program should output all of the correctly spelled words, labeled as such, and all of the misspelled words. For each misspelled word you should provide a list of candidate corrections from the dictionary that can be formed by applying one of the following rules to the misspelled word: a) Adding one character in any possible position b) Removing one character from the word c) Swapping adjacent characters in the word Your program should run as follows: ./spell_check You will be provided with a short document named document1_short.txt, a longer document named document1.txt, and a dictionary file with approximately 100k words named wordsEN.txt. As an example, your spell checker should correct the following mistakes. comlete -> complete (case a) deciasion -> decision (case b) lwa -> law (case c) Correct any word that does not exist in the dictionary file provided (even if it is correct in the English language). Some hints: 1. Note that the dictionary we provide is a subset of the actual English dictionary, as long as your spell check is logical you will get the grade. For instance, the letter “i” is not in the dictionary and the correction could be “in”, “if” or even “hi”. This is an acceptable output. 2. Also, if “Editor’s” is corrected to “editors” that is ok. (case B, remove character) 3. We suggest all punctuation at the beginning and end be removed and for all words convert the letters to lowercase (for e.g. Hello! is replaced with hello, before the spell checking itself). You can assume the punctuation to be what is provided in the text documents provided. Do NOT write any functionality inside the main() function within spell_check.cc. Write all functionality inside the testSpellingWrapper() within that file. We will be using our own main, directly calling testSpellingWrapper(). This wrapper function is passed all the command line arguments as you would normally have in a main. You will print the word, whether it is already spelled correctly (aka found), and all the possible spelling corrections if the word is not found in the dictionary. Be wary of punctuation and formatting in the document when parsing! The exact deliverables and output format are described below. Q1 DELIVERABLES You should submit these files: 1. README file (as usual, with extra information as requested) 2. create_and_test_hash.cc (modified and as specified in Part 1). 3. spell_check.cc (modified) 4. linear_probing.h (new) 5. quadratic_probing.h (modified) 6. double_hashing.h (new) Q1 FORMATTING For the linear and quadratic probing flags (Q1 Part 1), the format should be as follows: number_of_elements: size_of_table: load_factor: collisions: avg_collisions: Found Not_Found Found Please include the single new line shown between the table properties section and the listing of the words. Please include the underscore between “not” and “found”. The list of words shown here an example, the real output will depend on the words in query_words.txt Important note: Your values for collisions and avg_collisions WILL VARY depending on the machine you use. Be aware of this when switching machines or asking for help. Your submissions will be graded on the same machine, so those values will be consistent as long as your implementation is correct for everything else. This will occur for ALL flags, linear, quadratic, and double. Example of proper output (numbers are not representative of an actual table): number_of_elements: 500 size_of_table: 1350 load_factor: 0.37037037 collisions: 3 avg_collisions: 0.006 law Found 1 factz Not_Found 3 book Found 1 For the double flag (Q1 Part 2), the format should be as follows: r_value: The only dif erence between the output for double hashing is the addition of the line r_value: . Immediately below that line should be the same output as in linear and quadratic probing, described above. Please include the underscore between “not” and “found”. Example of proper output (numbers are not representative of an actual table): r_value: 7 number_of_elements: 200 size_of_table: 750 load_factor: 0.266666 collisions: 3 avg_collisions: 0.015 law Found 1 factz Not_Found 3 book Found 1 For spell checking (Q1 P3), the output should be as follows. is CORRECT is CORRECT is INCORRECT ** -> ** case ** -> ** case is CORRECT Please make sure that your whitespaces and newlines are correct. Please include the ** and the -> in your output. The list of words here shown is an example, the real output will depend on the words in the document file. There may be more than one result per case type. Example of proper output: (words shown are not representative of an actual input) decision is CORRECT likely is CORRECT interpretation is CORRECT lwa is INCORRECT ** lwa -> wa ** case B ** lwa -> la ** case B ** lwa -> law ** case C cases is CORRECT Finally, problems with your code? Here are reminders we have 1. Re-read this CSCI 235 Gradescope FAQ and this document on debugging, both of which have been located under CourseInformation/Coding related documents. 2. Double and even triple check your assignment matches the specifications as well. 3. Test your code on the Hunter lab machines remotely (yes even if it works perfectly on your machine) before uploading it to Gradescope. How to do so is described in the following resources. (Hyperlinks) a. Prof. Ligorio’s Programming Guidelines (guide within) b. Prof. Weiss’ SSH Guide. 4. Read the discussion board. The discussion board should cover a lot of the issues.