docs: Update main README

Author: 4ndrelim

README.md

@@ -1,43 +1,41 @@
 # Data Structures & Algorithms
 
-This repository contains implementation of some fundamental data structures and algorithms in Computer Science. It is
-primarily used as a teaching resource and is currently being developed by ex-2040s students.
+This repository contains implementation and discussion notes (intuition, applications, analysis) 
+of some fundamental data structures and algorithms in Computer Science. <br>
+It is aligned with [CS2040s](https://nusmods.com/courses/CS2040S/data-structures-and-algorithms) syllabus taught at NUS.
 
-The project uses Gradle and the structure is optimised for IntelliJ IDEA since implementation are mostly written in
-Java.
+The work here is continually being developed by CS2040s Teaching Assistants(TAs) and ex-2040s students. 
+Lecture content has been covered and future plans include deeper discussion into the tougher parts of tutorials.
 
-**Note**: This is still being developed. Those below with links mean that they are complete (alongside testing). We
-project to complete CS2040s course content by November and along the way, add interesting algorithms/problems. We are
-hopeful that the subsequent batches of students (from AY23/24 S2) will benefit greatly from this.
+The project's structure is optimised for IntelliJ IDEA as per the course's preferred IDE. 
+Gradle is used for development.
 
-If you wish to contribute, do drop an email at [email protected].
-
-## Full List of Implementation (in alphabetical order):
-
-## Structures
+## Full List (in alphabetical order):
 
+## Data Structures
 - Adelson-Velskii and Landis (AVL) Binary Search Tree
-- Disjoint Set / Union Find
-    * Quick Find
-    * Weighted Union
-    * Path compression
+- [Disjoint Set / Union Find](src/main/java/dataStructures/disjointSet)
+    * [Quick Find](src/main/java/dataStructures/disjointSet/quickFind)
+    * [Weighted Union]((src/main/java/dataStructures/disjointSet)/weightedUnion)
+      * Path compression
 - [Hashing](src/main/java/dataStructures/hashSet)
     * [Chaining](src/main/java/dataStructures/hashSet/chaining)
     * [Open Addressing](src/main/java/dataStructures/hashSet/openAddressing)
 - [Heap](src/main/java/dataStructures/heap)
-    * Max heap implementation
+    * Max heap implementation 
 - [Linked List](src/main/java/dataStructures/linkedList)
 - LRU Cache
 - Minimum Spanning Tree
 - [Queue](src/main/java/dataStructures/queue)
+  - [Deque](src/main/java/dataStructures/queue/Deque)
+  - [Monotonic Queue](src/main/java/dataStructures/queue/monotonicQueue)
 - Segment Tree
     * Array implementation
     * TreeNode implementation
 - [Stack](src/main/java/dataStructures/stack)
 - Trie
 
 ## Algorithms
-
 - [Counting Sort](src/main/java/algorithms/sorting/countingSort)
 - [Cyclic Sort](src/main/java/algorithms/sorting/cyclicSort)
     * [Special case](src/main/java/algorithms/sorting/cyclicSort/simple) of O(n) time complexity
@@ -54,17 +52,17 @@ If you wish to contribute, do drop an email at [email protected].
     * [Lomuto's](src/main/java/algorithms/sorting/quickSort/lomuto)
     * [Paranoid](src/main/java/algorithms/sorting/quickSort/paranoid)
     * [3-way Partitioning](src/main/java/algorithms/sorting/quickSort/threeWayPartitioning)
-- Radix Sort
+- [Radix Sort](src/main/java/algorithms/sorting/radixSort/)
 
 ## Short-cut to CS2040S Material
-
 1. Basic structures
     * [Linked List](src/main/java/dataStructures/linkedList)
     * [Stack](src/main/java/dataStructures/stack)
     * [Queue](src/main/java/dataStructures/queue)
 2. [Binary Search](src/main/java/algorithms/binarySearch)
     * Peak Finding
-    * Template
+    * Simple Version
+    * Universal Version
 3. Sorting
     * [Bubble](src/main/java/algorithms/sorting/bubbleSort)
     * [Insertion](src/main/java/algorithms/sorting/insertionSort)
@@ -74,37 +72,44 @@ If you wish to contribute, do drop an email at [email protected].
 4. Trees
     * [Binary search tree](src/main/java/dataStructures/binarySearchTree)
     * AVL-tree
-    * Kd-tree
-    * Interval tree
+    * Kd-tree (**WIP**)
+    * Interval tree (**WIP**)
     * Augmented tree for orthogonal range searching
     * Red-Black Tree
     * ab-Tree
 5. [Binary Heap](src/main/java/dataStructures/heap)
     * Max heap implementation
-6. Disjoint Set / Union Find
-    * Quick Find
-    * Weighted Union
-    * Path compression
+6. [Disjoint Set / Union Find](src/main/java/dataStructures/disjointSet)
+    * [Quick Find](src/main/java/dataStructures/disjointSet/quickFind)
+    * [Weighted Union](src/main/java/dataStructures/disjointSet/weightedUnion)
+      * Path compression
 7. [Hashing](src/main/java/dataStructures/hashSet)
     * [Chaining](src/main/java/dataStructures/hashSet/chaining)
     * [Open Addressing](src/main/java/dataStructures/hashSet/openAddressing)
     * Double Hashing
-    * Bloom filter
-8. Basic graphs
+    * Bloom filter (**WIP**)
+8. Basic graphs (**WIP**)
     * Depth-first search
     * Breadth-first search
 9. Graphs
     * Bellman-ford
     * Dijkstra
-    * Directed acyclic graphs
+    * Directed acyclic graphs algorithms (**WIP**)
+      * Post-order DFS
+      * Kahn's
+    * Floyd Warshall (**WIP**)
 10. Minimum spanning tree
     * Prim's
     * Kruskal's
 
 ## Running Custom Inputs
-
 See [here](scripts/README.md).
 
-## Contributors
+## Disclaimer
+While our team of TAs and students have diligently verified the correctness of our code, there might still be
+some discrepancies or deviation from lecture content (perhaps due to new changes). 
+In which case, **you are strongly advised to raise it up to us or consult your TA** regarding any suspicions 
+on the use of the information shared here.
 
+## Contributors
 See the [team](docs/team/profiles.md)!