This course introduces students to the design and implementation of fundamental data structures and algorithms. The course covers basic data structures (linked lists, stacks, queues, binary heaps, hash tables, trees, and graphs), searching and sorting algorithms, and basic analysis of algorithms.
The programming language used for this course is Java.
We use very basic object-oriented programming concepts in various data structures implementations, e.g., Stack class inherits LinkedList class (more details of OOP are in CS2030).
Note: This introductory message will not be prominent the next time you visit this URL again. This behavior is normal. You can view it again by scrolling to the top of this page.
For AY 2025/26, Prof Halim teaches CS2040S (CS students) in S1 (since S1 AY 2023/24);
but also returning to teach CS2040C (CEG, InfoSecurity, exchange students) in S2 (last was S1 AY 2022/23).
Some facts:
Rating (out of 5.0) |
Aug-Nov 25 (n=???/[150-180]) ≥ 50 |
Aug-Nov 24 (n=128/161) 80% ▲ |
Aug-Nov 23 (n=90/128) 70% ▼ |
Aug-Nov 22 (CS2040C) (n=162/206) 79% |
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Course feedback (SoC avg lvl 2000 ~3.9) | [4.1..4.2] (tgt) | 4.2 == | 4.2 == | 4.2 |
Course difficulty (SoC avg lvl 2000 ~3.8) | [4.0..4.1] (tgt) | 4.2 ▼ (almost 4.1) | 4.3 == | 4.3 |
Prof Halim's teaching (SoC avg lvl 2000 ~4.2) | [4.3..4.4] (tgt) | 4.5 (PB for 2040S) ▲ | 4.4 ▼ | 4.5 |
TAs:
Date, Time | Live Session (Venue) (#Stu/#Cap) | No | TA |
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1/Mon, 1000-1200 | Lab (??/20) | 01 | TBA |
1/Mon, 1000-1200 | Lab (??/20) | 02 | TBA |
1/Mon, 1200-1400 | Lab (??/20) | 03 | TBA |
1/Mon, 1200-1400 | Lab (??/20) | 04 | TBA |
1/Mon, 1400-1600 | Lab (??/20) | 05 | TBA |
1/Mon, 1400-1600 | Lab (??/20) | 06 | TBA |
1/Mon, 1600-1800 | Lab (??/20) | 07 | TBA |
1/Mon, 1600-1800 | Lab (??/20) | 08 | TBA |
5/Fri, 2100-2300 | Zoom Recurring Link TBA (free and easy) | - | various TAs |
List of TAs (ordered using Lab Group Number):
Part-time TAs applications
Any other applicant(s) who put CS2040S in the TMTF system but without informing Prof Halim will not be considered.
This is what students learn in CS2040/C/S as taught by Prof Halim, compare it with the subset IT5003 version:
If you have any important questions regarding this course, email dcssh at nus edu sg. Relevant answers will be posted here to reach wider audiences.
Note: This course registration section will not be prominent from Week 1 onwards. This behavior is normal. You can view it again by scrolling to the top of this page.
Date | News |
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The 4 units CS2040/C/S syllabus will be delivered over 13 weeks.
This course is a superset of the content of a similar IT5003 course, approximately 39/24 ~= 63% more content than IT5003.
The weekly lesson plan of Week X is typically as follows (2+(1+1)+(2+1)+3 = 10 hours/week):
Then, repeat this throughout the semester :).
The S1 AY 2025/26 timetable below is still tentative, especially those that are highlighted with pink color. The Wed morning of CS2040S will be as close as possible with Wed evening of IT5003.
Week | Tutorial+Lab Combo | Lecture | Interesting Problem Set |
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Cells with course material that have not been updated are highlighted with pink color, past classes more than one week ago are hidden so that we can focus on the current and future classes, but you can restore them by clicking 'Show Past' button above, future classes are not highlighted | |||
-01, 28 Jul-01 Aug |
Has Not Started |
Has Not Started, but please revise your CS1101S/IT5001/equivalent Prof Halim assumes that all of you have taken or exempted from this course/its variants Register at Kattis and LeetCode (use full name as in Matric card), read Java specific instructions @ Kattis, pick up basic Java by yourself, and solve the selected Online Judge (OJ) Problem Set 0 (PS0) by yourself (CS1101S/IT5001/equivalent level) and LeetCode OJ programming-skills study plan (solving many 'trivial problems' from this set ---the Kattis one is trackable by Prof Halim, indirectly tells him about your CS1101S/IT5001/equivalent rough grade) There is a CS2040 placement test for AY25/26 incoming IOI medallists on Thu, 31 Jul 2025, 9-11am SGT (and Wed, 30 Jul 2025 evening Bolivia time, TBC) |
PS0: Easy Coding Challenges (01-13 Aug) Already graded to speed up registration admins Solve any 3 out of 10 trivial tasks for 1% |
00, 04-08 Aug |
Has Not Started |
Has Not Started Continue attempting Kattis PS0 and LeetCode programming-skills study plan (hints in class Discord) Singapore National Day on Sat, 09 August 2025 |
PS0, continued Remember, solve any 3 for 1% |
01, 11-15 Aug |
Has Not Started |
01a. Course Admin, (Re-)Introduction to Java 1. Setting the tone for a flipped classroom course VisuAlgo + this Private Canvas + LeetCode + Kattis (NUS) 2. Basic Java review/new feature introduction Kattis/LeetCode problem(s) discussed today: A few PS0 and/or programming-skills problems (just for warm-up) In the middle of 01a: VisuAlgo Online Quiz 0 (0%) There was 1 trivial question during the first lecture Bring your own laptop This one is put here to speed-up admins (don't skip the first lecture) Reminder: Read simple algorithms on unsorted array (Slide 1 to 6-1) before the next lecture 01b. Algorithms on Unsorted Array Kattis/LeetCode problem(s) discussed today: rankproblem (a List ADT task; Java ArrayList operations: add (2 versions), indexOf, remove; and using Java class) Reminder: Read sorting intro, algorithm analysis, and O(N^2) sorting algorithms (Slide 1 to 9-3) before the next lecture |
PS0 (1%) Due: Wed, 13 Aug 25, 11.29am PS1: Basic Programming Out: Wed, 13 Aug 25, 11.30am Mentioned at the end of the first lecture CS2040S students do problem B+C problem A is optional (extra practice) |
02, 18-22 Aug |
Has Not Started But (e-)Consultation starts from Fri, 23 Aug Review demo code so far, focusing on Java API (ArrayList, String, Collections) |
02a. Analysis of Algorithms (Slide 1 to 9-3) 1. Live SpeedTest.cpp | py | java demo (measure runtime, count # of operations, vs asymptotic analysis) 2. Fast review of O(N^2) sorting algorithms Kattis/LeetCode problem(s) discussed today: thanos (analysis: exponential growth, logarithmic steps) mjehuric (bubble sort simulation) height (insertion sort simulation) nothanks (sorting library and linear pass) 02b. Algorithms on Sorted Array Kattis/LeetCode problem(s) discussed today: classfieldtrip (merge of mergesort; or any other solution that works) Last flipped classroom reminder: Read all sorting e-Lecture slides before next lecture |
PS1 (2%) Due: Sat, 23 Aug 25, 07.59am PS2: Sorting-related Problems Out: Sat, 23 Aug 25, 08.00am |
03, 25-29 Aug |
T01+L01: tut01.pdf Introduction, OOP review (List ADT, ListArrayTest.py | java) Algorithm Analysis, Hands-on, a basic List ADT task, PS1 Debrief (short), PS2 Discussion (algorithmic) |
03a. Sorting (Slide 10 to 13-2) 1. O(N log N) Merge Sort (C++ stable_sort; Java Collections.sort; Python list.sort) 2. Exp O(N log N) (Rand) Quick Sort (C++ sort; Java Arrays.sort (primitives); N/A in Python) Sorting Online Quiz (easy) White-box: SortingDemo.cpp | py | java Black-box: Java Collections.sort, Arrays.sort (object), Arrays.sort (primitives) Kattis/LeetCode problem(s) discussed today: merge-strings-alternately (variant of merge of Merge sort) 03b. Sorting Extras (until end) A preview of Ω(N log N) lower-bound of comparison-based sorting algorithms Special-purpose O(N) sorting algorithm: Counting Sort (Only) Other topics of sorting, e.g., counting inversions, counting minimum swaps |
PS2, continued |
04, 01-05 Sep |
T02+L02: tut02.pdf Sorting Application(s), Sorting, mini experiment, QuickSelect, ADT/List ADT, VA OQ demo (sorting), Hands-on, sorting applications, PS2 Discussion (algorithmic) |
Prof Halim will be at Baku, Azerbaijan, for the 2025 ICPC World Finals. Lec04a will likely be delivered by ??? (TBC). Lec04b will likely be delivered by ??? (TBC). 04a. List ADT: SLL/Stack/Queue/DLL/Deque (all slides) 1. Introducing List ADT, (resizeable) array versus Singly Linked List (SLL) way 2. Introducing Stack/Queue ADT 3. Wrapping up with DLL and Deque ADT Linked List Online Quiz (easy) White-box: SLLDemo.cpp | py | java implementation Black-box: Stack, but using Java ArrayList implementation versus Java LinkedList and Stack classes Fixed-size array, circular array version, versus Java Queue and Deque interfaces Kattis/LeetCode problem(s) discussed today: delete-the-middle-node-of-a-linked-list (two passes versus two pointers strategies) removing-stars-from-a-string (bracket matching variant) 04b. List Extras Kattis/LeetCode problem(s) discussed today: maximum-twin-sum-of-a-linked-list (how to go backwards in SLL?) online-stock-span (O(n^2) TLE vs O(n) solution) |
PS2 (2%) Due: Sat, 06 Sep 25, 07.59am PS3: List+PQ Problems Out: Sat, 06 Sep 25, 08.00am |
05, 08-12 Sep |
T03+L03: tut03.pdf Linked List, mini experiment, Applications: Reversing/Sorting a List, Application: Stack-related, PS2 Debrief (short), Java LinkedList/Stack/Queue/Deque, VA OQ demo (list), Hands-on, a list application, PS3 Discussion (algorithmic) |
05a. Priority Queue (PQ) ADT: Binary Heap (Slide 1 to 8-2) 1. Introducing PQ ADT 2. Introducing basic Binary Heap structure and its Insert+ExtractMax operations 3. Discussing CreateHeap (two versions) and HeapSort operations Binary Heap Online Quiz (easy) White-box: BinaryHeapDemo.cpp | py | java Black-box: priority_queue.cpp | py | java Kattis/LeetCode problem(s) discussed today: kth-largest-element-in-an-array (long and short ways) Last 15m of 05a: VisuAlgo Online Quiz 1 (4%) Bring your own laptop that can run at least 15 minutes on battery power. (we do not provide any spare laptop). Material: /array (1Q + 2 'new'), /sorting (3 Qs), /list (3 Qs), and 3 'new' questions especially on asymptotics. 05b. PQ Extras (until end) 1. O(N) CreateHeap analysis and O(N+K log N) PartialSort 2. Discussing UpdateKey(i, newv) and Delete(i) operations Kattis/LeetCode problem(s) discussed today: rationalsequence3 (stack/LIFO and binary heap indexing) |
PS3, continued |
06, 15-19 Sep |
T04+L04: tut04.pdf Binary Heap, Max-Min conversion, Additional ADT PQ Operations, Java PriorityQueue, VA OQ demo (heap), Hands-on, a simple problem involving PQ, PS3 last Discussion (algorithmic) |
06a. Table ADT part 1: Hash Table (slide 1 to 10-5) Table ADT and DAT Basic Hashing Concepts Easiest Collision Resolution Technique: CA (SC) Another Collision Resolution Technique: OA (LP) More Collision Resolution Techniques: OA (QP and DH) Comparing CA: SC with OA: DH Other technicalities of Hash Table Hash Table Online Quiz (easy; a bit too tedious on medium/hard settings) 06b. Hash Table Extras (until end) HashTableDemo.cpp | py | java (all use SC) Java HashSet/HashMap/Hashtable classes See unordered_map_unordered_set.cpp | py | java at GitHub repo of CPbook website Kattis problem(s) discussed today: proofs (a simple table ADT task) |
PS3 (2%) Due: Sat, 20 Sep 25, 07.59am PS4: Hash Table Problems Out: Sat, 20 Sep 25, 08.00am |
Recess Week, 20-28 Sep 2025 You can take a break this week :) |
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07, 29 Sep-04 Oct |
T05+L05: tut05.pdf [Special] Past midterm paper(s) discussions |
Midterm Test (10%) Open book Three essay questions, with sub-boxes There are a few blank boxes, which will be given 1 mark if left blank, but 0 if answered (even a single character) and declared (very) wrong Material: Up to PQ (L05ab on Week 05 + T04+L04 on Week 06), NO Hash Table yet Midterm Test Past Papers (recent 3 AYs only): AY 2022/23: S1-midterm.pdf, [I didn't teach CS2040C in S2], AY 2023/24: S1-midterm.pdf, [I didn't teach CS2040S in S2], AY 2024/25: S1-midterm.pdf, [I don't teach CS2040S in S2], AY 2025/26: S1-midterm.pdf (to be our paper), [I don't teach CS2040S in S2]. 07b. Union-Find Disjoint Sets (all slides) Quick Recap with VisuAlgo See unionfind_ds.cpp | py | java at GitHub repo of CPbook website Kattis problem(s) discussed today: tildes (basic UFDS task) PS: UFDS is reused in Connected Component (CC) and MST topics |
PS4, continued |
08, 06-10 Oct |
T06+L06: tut06.pdf Table ADT 1 - unordered, Basic hashing concepts, Hash Table issues, Java HashSet/HashMap, PS3 Debrief (short), Only for CS2040S: UFDS review, VA OQ demo (hashtable,ufds), Skipped for CS2040S: PS4 Discussion (algorithmic) |
08a. Table ADT part 2: BST (Slide 1 to 12-1) BST concepts and the various BST operations The multiset idea BST (only) Online Quiz (medium) BSTDemo.cpp | py | java Randomly built BST and a preview of balanced BST, e.g., AVL Tree Kattis/LeetCode problem(s) discussed today: search-in-a-binary-search-tree (implement what we discuss today) delete-node-in-a-bst (implement the three cases) 08b. Balanced BST and Applications (until end) QnA about AVL Tree concepts BST+AVL Online Quiz (hard; need to clear pre-req) AVL.cpp | (no py yet) | java Java TreeSet/TreeMap classes See map_set.cpp | (no built-in py) | java at GitHub repo of CPbook website Kattis problem(s) discussed today: kattissquest (combo DS, e.g., TreeMap int to PQ of ints, etc) |
PS4 (2%) Due: Sat, 11 Oct 25, 07.59am PS5: Graph DS + Traversal Problems Out: Sat, 11 Oct 25, 08.00am |
09, 13-17 Oct |
T07+L07: tut07.pdf Table ADT 2 - ordered, (balanced) BST advanced stuffs: Select and Rank, PQ ADT alternative implementation, Comparison with Table ADT 1: unordered vs ordered, Java TreeSet/TreeMap, PS4 Debrief (short), VA OQ demo (bst or avl (need to clear pre-req)) Hands-on, a combo DS task, PS5 Discussion (algorithmic) |
09a. Graph DS (all slides) + DFS Traversal (Slide 1 to 5-8) Implementations of graph DS and its applications Graph DS Online Quiz (medium), No built-in C++ STL container | Python standard library | Java API, See graph_ds.cpp | py | java at GitHub repo of CPbook website, Early discussion of the basic forms of Graph Traversal algorithms: DFS first See dfs_cc.cpp | py | java Kattis/LeetCode problem(s) discussed today: destination-city (degree checks) Last 15m of 08a: VisuAlgo Online Quiz 2 (4%) Material: /heap (3 Qs), /hashtable (3 Qs), /bst (3 Qs) and 3 'new' questions. 09b. Graph Traversal Applications (Slide 7-3 to 7-8) Finding Connected Components Kattis/LeetCode problem(s) discussed today: weakvertices (AM demo) reachableroads (AL demo; count #CC; DFS vs UFDS implementation) |
PS5, continued |
10, 20-24 Oct |
As Mon, 20 Oct 2025 is Deepavali PH and Tue, 21 Oct 2025 is NUS well-being day We move our last three downwards |
10a. Graph Traversal Applications (Slide 6 to 7-12) Review DFS and introducing BFS Focus on a few more basic DFS/BFS applications (we skip slide 8-11, out of CS2040/C/S and IT5003 scope) DFS/BFS Online Quiz (medium) No built-in C++ STL algorithm | Python standard library | Java API, See UVa00469.cpp | py | java, and bfs.cpp | bfs.py | java at GitHub repo of CPbook website, Kattis/LeetCode problem(s) discussed today: number-of-provinces (AM; count #CC; DFS vs BFS way) course-schedule-ii (cycle detection and provide one topological order if acyclic) 10b. More Graph Applications Kattis/LeetCode problem(s) discussed today: builddeps (AL of Strings + postorder DFS toposort demo) NUS Online Teaching Feedback opens this Fri But this timing is too early for our course... You can wait until you have completed the course |
PS5, continued |
11, 27-31 Oct |
T08+L08: tut08.pdf Graph DS Review, Some Graph Properties Discussion, Graph DS Conversion Exercise, DFS Review, Only for CS2040S: UFDS revisited, Custom graph DS implementation review, VA OQ demo (graphds,dfsbfs), Hands-on, a simple Graph DS task, PS5 Discussion (algorithmic) |
11a. SSSP Problem (all slides) Review of basic SSSP problem Preview of O(VE) / O(kE) Bellman-Ford algorithm QnA on BFS algorithm for unweighted SSSP QnA on Dijkstra's algorithm (original Dijkstra's first; but focus on modified Dijkstra's for IT5003) See dijkstra.cpp | py | java at GitHub repo of CPbook website Quick discussion of SSSP on Tree and on DAG SSSP Online Quiz (medium) Kattis/LeetCode problem(s) discussed today: rotting-oranges (SSSP; unweighted undirected implicit grid graph; BFS) network-delay-time (basic Dijkstra's; focus on easy lazy-minPQ implementation) |
PS5 (2%) Due: Sat, 01 Nov 25, 07.59am PS6: Graph(-Related) Problems Out: Sat, 01 Nov 25, 08.00am |
12, 03-07 Nov |
T09+L09: tut09.pdf BFS Review DFS/BFS advanced stuffs: Cycle Detection, Toposort++, Floodfill/CC, Bipartite Graph Checker Modeling exercise, PS5 Debrief (short), VA OQ demo (dfsbfs), Hands-on, a Graph Traversal task, PS6 Discussion (algorithmic) |
12a. MST Problem (Slide 1 to end) Review of basic MST problem QnA on Kruskal's and Prim's algorithms Mix and Match of various data structures/algorithms covered so far Kattis/LeetCode problem(s) discussed today: cats (MST application) Onsite class photo as momento Last 15m of 12a: VisuAlgo Online Quiz 3 (4%) Material: /graphds (3 Qs), /dfsbfs (3 Qs), /sssp (3 Qs), and 3 'new' questions. 12b. SSSP+MST Wrap-Up QnA on Modified Dijkstra's Other special cases of SSSP problem Other MST Variants |
PS6, continued |
13, 10-14 Nov |
T10+L10: tut10.pdf BFS/Dijkstra's review Modeling exercises (continued), VA OQ demo (sssp), Hands-on, an SSSP task, PS6 Discussion (algorithmic) Tut+Lab participation marks given (3%) |
13a. Make-up time window: for VA OQ 1/2/Midterm Test/VA OQ3 (details TBC) 13b. The Last Lecture Course wrap-up et al: Undoing all the illegal Java coding techniques, Semester summary via... IT5003 past paper discussion, Review of what can be done better for future iterations, Advertisement of future (algorithm) courses: CS3230 (S1 or S2) Advertisement for part-time TA jobs (A-/A/A+ only), Ending: a few Final Assessment Tips. |
PS6 (2%) Due: Sat, 15 Nov 25, 07.59am |
Study Week, 15-21 Nov 2025 Final Assessment Discussions at Class Discord Final Assessment Past Papers (recent 3 AYs only, note the transition from CS2040C/C++ to CS2040S/Java): AY 2022/23: S1-final.pdf, [Prof Halim didn't teach CS2040C in S2], AY 2023/24: S1-final.pdf, [Prof Halim didn't teach CS2040S in S2], AY 2024/25: S1-final.pdf, [Prof Halim does not teach CS2040S in S2], AY 2025/26: S1-final.pdf (will be our paper). NUS Online Teaching Feedback System closes on Friday of Study Week |
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Final Assessment (60%) Date and Time: Thu, 27 Nov 2025, 01.00-03.00pm Venue: TBA Open book The rest TBA |