ITSFT-506-1608
Recordsdata Constructions & Algorithms
First Yr BSc. 2025-2026
Assignment Guidelines
Read the next instructions in moderation earlier to you open the project. Even as you attain no longer notice any of them, search files from your lecturer.
• Here’s a HOME Assignment to be carried out by the DEADLINE SPECIFIED BY LECTURER ON VLE.
• The project includes 3 Sections and CARRIES 61marks; all tasks must be tried.
• Please show that ALL WORK must be handed in by the stipulated slash-off dates. LATE ASSIGNMENTS WILL NOT BE ACCEPTED.
• The project sheet and project coversheet can also aloof be fully carried out with your total wanted details. Cloak that assignments handed in with out the project veil sheet are belief of as no longer submitted.
• Assignments must be handed in as a relaxed reproduction uploaded on Moodle by the stipulated closing date.
• Any references can also aloof be listed and quotes can also aloof be paraphrased correctly. Unless listed and paraphrased correctly the project will be regarded as plagiarized.
Referencing can also aloof be utilized utilizing IEEE Kind Referencing Notation.
• Assignment text can also aloof no longer be submitted verbatim to AI. The project is designed to confuse
AI and power the AI to maintain tasks in a thoroughly different map from a human.
Initiatives where exhaust of AI is detected on account of inbuilt safeguards will be awarded 0 marks.
• Copying is precisely prohibited and will be penalized per the College’s disciplinary procedures
Activity 1 25marks
Implementation & Empirical Prognosis of Sorting Algorithms (KU3.1, SE2.8, SE4.1)
1. Implementation of Sorting Algorithms (SE2.8, 10marks)
Put in power two thoroughly different sorting algorithms from the next listing:
• Merge Kind
• QuickI n Kind
• Counting Kind
IMPORTANT NOTES:
The implementation of the chosen sorting algorithms MUST ADHERE to the next specifications. ALTERNATIVE IMPLEMENTATIONS WILL NOT BE ACCEPTED
1. Every algorithm must be implemented in its non-public class, separately from the others; the category must maintain a summary speak specifying which sorting algorithm modified into as soon as chosen moreover its identified theoretical speeds for Handiest Case, Practical Case and Worst Case.
(1.5marks per algorithm)
2. The classes containing the implementation of the sorting algorithms must maintain a Kind() method with the next signature:
(2.5marks per algorithm)
public static int[] Kind(int[] unsortedArray)
This kind can also aloof receive an unsorted array of integers and return a sorted reproduction of this array; it is a necessity that the distinctive array supplied as parameter is by no method altered. In consequence of this fact, the fashion must no longer form the distinctive array supplied as input, as an different it must return as sortedcopy of this array.
Extra solutions will be added however these must be non-public and called within the desired Kind() method.
3. Sorting algorithms must be implemented in an efficient method which is line with their identified theoretical speeds e.g. Merge Kind implementations must maintain an asymptotic bustle of O(n lengthy n) for all instances.
(1 sign per algorithm)
Implementations which vary from the above would possibly perchance probably perchance probably no longer be well-liked & will be awarded 0marks.
2. Empirical Prognosis of Sorting Algorithms (KU3.1, 5marks)
Measure the proper execution time for every and each of the two sorting algorithm, implemented within the earlier piece of the job, utilizing the next input sizes
n = 1,000 10,0000 100,0000 1,0000,000
(2marks)
Steal all wanted precautions to be definite timings are correct and free of any bias utilizing the an identical solutions historical at school examples when accomplishing empirical evaluation.
(2marks)
Use the timings got to position a graph of input sizes versus time taken on a neatly suited scale, utilizing Excel. The Excel file with the plotted graphs and a screenshot of the timings got when working empirical evaluation must be supplied.
(1mark)
Prognosis which varies from the above would possibly perchance probably perchance probably no longer be well-liked and will be awarded 0marks.
3. Evaluation of Sorting Algorithms (SE4.1, 10marks)
Evaluate the performance of the sorting algorithms implemented in response to the timings got from Empirical Prognosis for the given input sizes.
To realize so:
i. Bid which of the 2 algorithms kinds the arrays the quickest? Elaborate your response by evaluating the form, do of abode and gradient of the graphs produced within the earlier piece of the job.
(2.5marks)
ii. Positive input sizes can also maintain required a substantial period of time to form the given arrays, for both one or both of the sorting algorithms implemented. Nonetheless, the algorithms can also aloof construct a consequence. Does this mean that one (or both) of the sorting algorithms is intractable? Elaborate your response by evaluating the form, do of abode and gradient of the graphs produced within the earlier piece of the job.
(2.5marks)
This evaluate will be supplied as text within the wanted Excel File containing the graphs plotted for the earlier piece of the job.
Evaluate the correctness of the sorting algorithms implemented by evaluating their outcomes to those produced by C#’s native sorting algorithm.
To realize so:
i. Generate 1,000 arrays of length 2,000 with random numbers (including doable duplicates) utilizing C#’s inbuilt random number generator
(1mark)
ii. Kind each and each array utilizing each and each of the two sorting algorithms implemented in earlier tasks.
(1mark)
iii. Kind each and each array utilizing C#’s native sorting algorithm
(1mark)
iv. Create definite the outcomes produced by the 2 sorting algorithms are both equal to the supplied by C#’s native sorting algorithm. This take a look at for sequence equality must be utilized by code.
(2marks)
Assignment Continues on Subsequent Page
Activity 2 21marks
Implementation of Hierarchical Recordsdata Constructions
(AA2.3, AA2.4,AA2.5)
This job requires the implementation and trying out of 2 Hierarchical Recordsdata Constructions
1. Priority Queue in response to MinHeap
2. Binary Search Tree
Both implementations are to be piece of the an identical project and are to be tested by code in Program.cs as described in piece 3 of this job.
Both tasks require the exhaust of a ServiceTicket object class which is to be constructed as per the next code pattern:
Ticket a Priority Queue in response to a MinHeap (AA2.5)
Assemble a Priority Ǫueue class that makes exhaust of MinHeap logic to manage parts of kind
ServiceTicket in response to their createdEpoch attribute; the smaller the notice of the createdEpoch the elevated the precedence of the ServiceTicket.
The Priority Ǫueue class would require the implementation of the next operations
void EnqueTicket(ServiceTicket ingredient)
This operation inserts an object of kind SeviceTicket into the queue within the correct kind do of abode in response to it’s createdEpoch attribute. The smaller, the notice of the createdEpoch attribute the closest to the dwell the ingredient can also aloof be.
(3.5marks)
String DequeNextTicket()
This operation will get rid of the ServiceTicket object at the head of the precedence queue and returns its details within the form of a string; the label with the smallest createdEpoch can also aloof be deque first.
(3.5marks)
IMPORTANT NOTES:
The implementation of the precedence queue MUST ADHERE to the next specifications. ALTERNATIVE IMPLEMENTATIONS WILL NOT BE ACCEPTED
1. All programming logic to insert and take away ServiceTicket parts from the Priority Ǫueue must be positioned within the PriorityǪueue class; the creation of extra classes.
2. Solutions within the Priority Ǫueue class must match the indicated method signatures.
3. The Priority Ǫueue must enque and deque parts in response to MinHeap logic which reflects the pseudocode for heaps supplied on VLE for Topic 9; this pseudocode is for a MaxHeap and can also aloof be altered to copy MinHeap logic on your implementation.
4. The Priority Ǫueue must exhaust an array as the underlying files structure to store the ServiceTicket parts; the size of this array is to be handed by the overloaded constructor.
5. The ServiceTicket object is to be constructed within the an identical come as the category confirmed on the earlier net page. Here’s the ideal thoroughly different class allowed on this implementation thoroughly different than the requested Priority Ǫueue class.
Implementations which vary from the above would possibly perchance probably perchance probably no longer be well-liked & will be awarded 0marks.
Ticket a Binary Search Tree for Carrier Tickets (AA2.4)
Assemble a Mark Binary Search Tree class that is able to Leer ServiceTickets in response to their TicketID attribute; it can maybe also additionally be assumed that the Mark IDs will be in alphanumeric structure i.e. a aggregate of characters and numbers e.g. ‘TIC1’. The hunt can also aloof no longer be case magnificent.
To realize so, the Mark Binary Search Tree class requires:
1. The creation of a Node structure neatly suited for the enchancment of a Binary Search Tree, where the notice of the node is an object of kind Carrier Mark. The Node structure can also additionally be created as a separate class from the Binary Search Tree.
(2marks)
2. The creation of a ROOT pointer within the Binary Search Tree class to show the first Node within the tree; this can also aloof be the first ServiceTicket object added to the tree.
(1mark)
3. The implementation of a Ticket() operation with the next method signature: public void Ticket( ServiceTickets[] parts )
This operation can also aloof form a Binary Search Tree by including your total parts within the array to the tree; the first ingredient within the array can also aloof be at the ROOT of the tree; the parts can also aloof be inserted, in the case of the ServiceTicket object at the ROOT of the tree i.e. to the left of the tree, or to the correct of the tree, in response to the notice of their TicketID attribute.
The insertion of parts within the tree must no longer be case magnificent.
(2marks)
3. The implementation of a Search() operation with the next method signature: public string Search( string requiredTicketID )
This operation can also aloof search the Mark Binary Search Tree for the wanted ServiceTicket matching the supplied TicketID and return its details; if no SeviceTicket with a matching
TicketID is stumbled on, a null is returned. The hunt must no longer be case magnificent
(2marks)
IMPORTANT NOTES:
The implementation of the precedence queue MUST ADHERE to the next specifications.
ALTERNATIVE IMPLEMENTATIONS WILL NOT BE ACCEPTED
1. All programming logic to evaluate for ServiceTicket parts must be positioned within the Mark Binary Search Tree class; the creation of extra classes, thoroughly different than the accredited Node class, will not be any longer allowed.
2. Solutions within the Mark Binary Search Tree class must match the indicated method signatures.
3. The ServiceTicket object is to be constructed within the an identical come as the category confirmed on earlier pages of the project immediate.
Implementations which vary from the above would possibly perchance probably perchance probably no longer be well-liked & will be awarded 0marks.
Test the Implemented Hierarchical Recordsdata Constructions (AA2.3)
The usage of code in Program.cs, take a look at the Priority Ǫueue and Mark Binary Search TreeData structures, implemented within the earlier parts of the job.
To realize so:
1. Test Recordsdata Expertise
Generate an array of 20 Carrier Mark Objects; the TicketID must maintain the next structure “TICx” where x is the sequence selection of the label e.g. the first label has ID “TIC 1”.
(1mark)
2. Testing of Mark Binary Search Tree
Ticket a Mark Binary Search Tree in response to the ServiceTickets array generated above.
(0.5marks)
Use the tree’s Search operation to show that all tickets within the array can also additionally be show within the Mark Binary Search Tree and the quest will not be any longer case magnificent; to attain this, comparisons of the TicketID handed as parameter to the Search operation must be in comparison to TicketIDs of ServiceTicket objects saved within the tree in decrease case.
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(2marks) Furthermore show that attempting to search out tickets with Ids that are no longer within the tree returns a null. (0.5marks) 3. Testing of MinHeap based entirely precedence Ǫueue Ticket a Priority Ǫueue by including each and each label within the array to the queue. (0.5marks) Demonstrate that the ServiceTickets are enqued in response to their createdEpoch attribute by : • First including each and each ServiceTicket object within the array to the queue (1mark) • Then emptying the queue, by dequing each and each and each and each ServiceTicket in it. (1mark) • While doing so, point out the critical points of every and each dequed ServiceTicket to show that tickets with a smaller createdEpoch attribute were dequed first. (0.5marks) |
Testing which vary from the above would possibly perchance probably perchance probably no longer be well-liked & will be awarded 0marks.
Assignment Continues on Subsequent Page
Activity 3 15marks
Randomization and Shuffling Algorithms
(KU2.7, SE2.6)
This job requires research in present to attain the implementation of a Custom Pseudo Random Number Generator (PRNG) in response to the next correctly identified PRNG and Shuffling Algorithms:
1. Linear Congruential Generator (LCG)
2. Additive Lagged Fibonacci (LFG)
3. Fisher Yates Plod (FYS)
Among the above algorithms can also were covered at school; others can also no longer were and will therefore require you to attain your non-public research to note how these algorithms work and the map in which they prefer to be implemented.
The implementation of the wanted Custom PRNG does no longer require any trying out from your dwell, on the opposite hand, the implementation MUST ADHERE TO THE FOLLOWINGSPECIFICATIONS. ALTERNATIVE IMPLEMENTATIONS WILL NOT BE ACCEPTED
1. The Custom PRNG must be implemented in its non-public class separately from the somewhat deal of two algorithms. It must maintain a Subsequent() operation with the next method signature: public decimal Subsequent ( decimal max)
This must generate a pseudo-random number between 0 and the maximum notice supplied as parameter, utilizing the Additive Lagged Fibonacci system with the next values for constants:
J = 273 K = 607 M = 232
(SE2.6, 5marks)
2. The array representing the preliminary space of ok states, to be historical for pseudo random number generation, utilizing the desired LFG system, must be of dimension ok and initialized within the constructor for the Custom PRNG utilizing values produced by the LCG.
(SE2.6, 1mark)
3. The LCG must be implemented in a separate class from the Custom PRNG and can also aloof most productive maintain one operation with the next method signature: public decimal Subsequent( )
This can also aloof generate a determined pseudo-random number in no particular vary, utilizing the next values for constants A = 1664525 C = 1013904223 M = 232
The contemporary time in milliseconds will be historical as the seed to generate the first random number.
(SE2.6, 3marks)
4. After, producing the wanted pseudo-random number and after making all wanted updates to the values of j and ok and the array representing the preliminary space of ok states, as required by the LFG, The Fisher-Yates Plod can also aloof be historical to mosey the parts within the array of preliminary ok states.
(SE2.6, 1mark) 5. The Fisher-Yates Plod must be implemented in a separate class from the Custom PRNG and the LCG can also aloof most productive maintain one operation with the next method signature: public decimal[ ] Plod(decimal[] originalArray )
This can also aloof exhaust Fisher Yates Plod, to attain a shuffled model of the array handed as parameter.
(KU3.1, 5marks)
Implementations which vary from the above would possibly perchance probably perchance probably no longer be well-liked & will be awarded 0marks.
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