Suppose the database contains n RnaSequence objects, in a random order. What is the average case big-Oh for the number of RnaSequence comparisons used when creating a BST by adding the RnaSequence objects to the BST in the order they appear in the database? You can assume that all items in the database are unique there are no repeated RnaSequence values.
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- you're storing information about the users of a web-based application, which is to say that each user has a username that is a string of uppercase letters, lowercase letters, and digits. let's imagine that the most common operations are to add a new user to the application and to check whether a user already exists (given a username). A hash table would be an appropriate way to solve this problem because you know that a well-chosen hash function can lead to something akin to Θ(1) lookups and amortized Θ(1) insertions - suppose that you've chosen a hash function that sums the character codes associated with the characters in the username. Is the chosen hash function a good hash function?Take a look at a straightforward hash function like "key mod 8" and a series of keys like 75, 89, 42, 58, 94, 38, 32, and 21. What would the finished sequence look like if you use a linear probe to insert those keys into an 8-by-8 array?Implement a city database using ordered lists by using java. Each database record contains the name of the city (a string of arbitrary length) and the coordinates of the city expressed as integer x and y coordinates. Your database should allow records to be inserted, deleted by name, and searched by name. Another operation that should be supported is to print all records within a given distance of a specified point/coordinate. The order of cities should be alphabetically by city name. Implement the database using both: an arraybased list implementation, and a circular single linked list implementation.Use may the following node, SLL implementations to implement an ordered circular single linked list
- 3. Double hashing is one of the methods to resolve collision. Write a function to implement this method. The equations used in this method are given below. Note: implement everything within the double hash function. P = (P + INCREMENT(Key)) mod TABLE_SIZE INCREMENT(Key) = 1 + (Key mod INCR)A hash table is an efficient data structure to store and access data via keys. In this problem, you need to find the longest subarray of distinct elements. For example, given an array A = <milk, water, 6724, water, soda, beer, apple, grape, wine>, the longest subarray is <milk, water, 6724, soda, beer, apple, grape, wine> Hint: you need to keep track and update the positions of the elements. a) Explain how many unique subarrays are there from a given array b) Describe your ideas on how to solve the problem, especially how hash tables can be used to keep track of the important information c) Write the most efficient algorithm (pseudo code) to solve this problem with complexity analysis. You can assume that a good hash function is given.A hash table is a very important data structure in computer science. It is used for fast information retrieval. Itstores data as a < key, value > pair, where the value is indexed by the key. Note that keys must ne unique.Consider the example of storing persons name using the social security number (ssn) as the key. For eachssn x, a hash function h is used, where h(x) is the location to store the name of x. Once we have created atable, to look up the name for ssn x, we can recomputes h(x) and then look up what is stored in that location.In Python, dictionaries are based on hash tables. Typically, the hash function h is deterministic; we do notwant to get different results every time we compute h(x). But h is often chosen to be pseudo-random. Forthis problem, we will assume that h is truly random. Suppose there are k people, with each person’s namestored in a random location (independently), represented by an integer between 1 and n, k < n. It mayhappen that one location has…
- Draw a hash table given these numbers and hashing function, build each of the hashing options, and decide if it is efficient, and what function or size might be a better match. Explain why it is efficient or what changes you would make for it to be efficient. a. Scenario 1 a. Hashing function: k mod 4 b. Linear Probing c. Array from 0 to 3 d. Values: 19, 7, 12, 11 b. Scenario 2 a. Hashing function: k mod 10 b. Quadratic Probing c. Array from 0 to 9 d. Values: 20 39 23 56 34 29 55 13 c. Scenario 3 a. Hashing function: first three digits of a phone number b. Overflow chaining c. File with base address of 0 and ends at 999 d. Values: 3135552314, 7343455523, 3134445555, 3134441234, 7342346555, e. 5555342232, 4072984555, 2692185552 d. Scenario 4 a. Hashing function: k mod 100 b. Internal Chaining c. Array 0 to 99 d. Values: 314 325 623 2234 425 1234 2132 2361 1245 123 436 742in c++ Create a student hash table that contains information, studentID (int), name (string), marks_oop345 (float). The size of hash table is equal to the number of students in the class. Use linear probing in case of collisions. Perform insertion, deletion, display and search operations.In this task, two hash tables should should be implemented. You can follow the followinginstructions:- In class HashTable implement a hash table and consider the following:(i) Keys are integers (therefore also negative!) and should be stored in the tableint[] data.(ii) As a hash function take h(x) = (x · 701) mod 2000. The size of the table istherefore 2000. Be careful when computing the index of a negative key. Forexample, the index of the key x = −10 ish(−10) = (−7010) mod 2000 = (2000(−4) + 990) mod 2000 = 990.Hence, indices should be non-negative integers between 0 and 1999!(iii) Implement insert, which takes an integer and inserts it into a table. Themethod returns true, if the insertion is successful. If an element is already inthe table, the function insert should return false.(iv) Implement search, which takes an integer and finds it in the table. The methodreturns true, if the search is successful and false otherwise.(v) Implement delete, which takes an integer and deletes it…
- Given the following Java functions, transcribe it into a Python 3 program. /*** Removes and returns the entry associated with the specified key* in the Hash Table. Returns null if the Hash Table contains no mapping* for this key.*/Entry removeEntryForKey(Object key) {int hash = hash(key);int i = indexFor(hash, table.length);Entry prev = table[i];Entry e = prev; while (e != null) {Entry next = e.next;if (e.hash == hash && eq(k, e.key)) {size--;if (prev == e)table[i] = next;elseprev.next = next;return e;}prev = e;e = next;}return e;}Suppose we have a document of D distinct words and we want to return the N most frequently occuring words in the document. Assume N is much less than D. Describe the fastest algorithm (clearly list each step of the algorithm) to solve this problem, starting with a hash table in which to store the frequencies. You may use additional structures, as long as they are one of the structures covered in class. Make sure to specify what is the key and what is the value for all structures used. Against each step of your algorithm, write down the big 0 running time with an explanation of how you got it, and specify whether this running time is expected time or worst case time. You can use known-from-class structures you use, **but you still have to write what the actual running time is**In Python, implement a hashing table data structure of size 20, which can cope with collisions. Thus, you must implement the closed collision system in its three modes: Linear scanQuadratic scanDouble hashing scan. For h_alt use h_alt(k) = (k mod (m - 1)) + 1, where m is the size of the table. The data to be managed are students from a certain university who have a 5-digit registration number and it is unique. In addition, the student has a name, age and address. Create a .txt file with 10 students (one for each line) and have them loaded into your program. Build a menu of options where you can: - Find a student and print his data if found and position in the table. Otherwise print a "Not Found" message. - Delete a student and return the position from which it was eliminated. If the student does not exist, print a message. - Enter a new student. For this option, that only allows entering the 5-digit license plate and that random data is automatically generated for the name, age and…