ACM-ICPC Preparation

This program has been developed to learn Algorithms for use in Competitive Prorgamming, but can be used for:

• Competitive Programming
• Practicing for Interviews
• Improving Algorithmic Thinking
• Practicing for College Classes
• FUN

The course requires:

• To know at least one programming language well. (You have to be able to use the language efficiently.)
• You have to be familiar with some of the basic Data Structures (Array, Stack, Queue, etc.) (Although if you don't know one of them, you may learn it when you come across it.)

PS: I am saying "Any programming language" but in this course mostly we used C, C++ and some Java, but you can still follow the curriculum without any knowledge of these languages

In the program there is only direction to resources, we did not add much content apart from what already existed. We just collected good sources to learn in one place, so that one can follow up and learn. The course includes algorithms and a bit data structures. You need to follow the the curriculum week by week.

Basic following guide would be to:

1. See the sources to study
2. Get the logic and try to code it without looking other code
3. When you are stuck(you really should try first) or when you are done, look at the source code, and compare it with yours so that you can see what would be the best approach for that algorithm. You may not like others, or you may find some of them useful.
4. After you feel comforatable with the code, try to solve the questions.
5. When you are done with solving or are stuck(again ...) check other solutions and try to understand your mistake or to see if a better aproach exists.

Resources

In this course we will use some tools for the questions. As I mentioned above all of these questions already exist, we just highlight them so that you can reach them easier. Here are the websites/tools that we use through this course:

• Leetcode
• Spoj
• Hackerrank
• Topcoder
• Codeforces
• Lightoj
• ACM-Timus

I gave these tools name because you may not be able to submit your solution or display the question for some websites. It would be better if you just sign up. Although it is not neccesary...

Contribution

We are open to any support. If you have anything to add, do not hesitate to offer! For further information you can check Code of Conduct

Topics

Here are the topics we included in this curriculum.

DS

• Stacks
• Queues
• Priority queue
• Hashmap
• Linked List
• Trees
• Heaps
• Advanced Trees
  • Tries
  • Segment trees
  • Fenwick tree or Binary indexed trees
  • RMQ
• SQRT Decomposition
• Disjoint Data Structure
• C++ STL (optional)

Algo

• Number Theory

  • Prime Numbers (Sieve of Eratosthenes)
  • GCD and LCM Euclid’s Algorithm
  • Modular Exponentiation
  • Long arithmetic (Multi, Add)
  • Efficient Prime Factorization

• Combinatorics(Probability-Combinations-Permutations-Matrix..)

• Computational geometry

  • Primitive Operations
    • Intuition
    • Polygon Inside, Outside
    • Implementing CCW
    • Immutable Point ADT
  • Convex Hull
  • Closest pair problem
  • Line intersection

• Sorting

  • QuickSort
  • Counting Sort
  • Merge Sort

• Searching

  • Binary Search
  • Ternary Search

• Graph Theory

  • Depth First Search (DFS)
  • Breadth First Search (BFS)
  • Dijkstra’s Shortest Path
  • Minimum Spanning Tree
  • Ford Bellman
  • Floyd Warshall
  • LCA (Lowest Common Ancestor)
  • Max Flow / Min Cut

• Dynamic programming

  • Knapsack
  • Matrix chain multiplication
  • Coin Change
  • Kadane
  • Longest increasing Subsequence (with RMQ)

• Strings

  • Z algorithm
  • Suffix Trees/Arrays
  • Knuth-Morris-Pratt Algorithm (KMP)
  • Rabin-Karp Algorithm
  • Hash

• Bit Manipulation

• Game theory

  • Nim game
  • Grundy numbers
  • Sprague-Grundy theorem

• Optional Advanced Algorithms

  • AVL Trees
  • Graph Coloring
  • Mo's Algorithm
  • Palindromic Tree
  • Heavy Light Decomposition
  • Dynamic Programming by Profile
  • Rod Cutting
  • Topological Sorting
  • DP with Bitmask - Dynamic Programming
  • Diobhantine Equation - Math
  • Flood Fill - Graph

Here is our Curriculum

Week	Topics	Optional Topics
**Heads Up **	Big O Notation
1.Week	Prime Numbers (Sieve of Eratosthenes) Efficient Prime Factorization Modular Exponentiation
2.Week	GCD and LCM Euclid’s Algorithm Long arithmetic (Multi, Sum, Div, Sub)	C++ STL:Vector C++ STL:Pairs C++ STL:Iterators
3.Week	QuickSort Counting Sort	C++ STL:String C++ STL:Set C++ STL:Map
4.Week	Merge Sort Binary Search	Ternary Search
5.Week	Queue (DS) Stack (DS) Breadth First Search Depth First Search	C++ STL: Queue C++ STL: Stack
6.Week	Linked List (DS) Dijkstra’s Shortest Path Minimum Spanning Tree (MST) Floyd Warshall	Cycle Detection (Union Find)
7.Week	Knapsack Coin Change Kadane
8.Week	Questions from previous topics
9.Week	Trees (DS) Segment Trees (DS) Range Minimum Query (RMQ) Lowest Common Ancestor (LCA)	Topological Sorting
10.Week	Ford Bellman Max Flow / Min Cut Longest increasing Subsequence (with RMQ)	Heavy Light Decomposition
11.Week	Primitive Operations Intuition Polygon Inside, Outside Implementing CCW Immutable Point ADT Convex Hull Closest pair problem Line intersection
12.Week	Tries (DS) Suffix Trees/Arrays (DS) Knuth-Morris-Pratt Algorithm (KMP) Rabin-Karp Algorithm
13.Week	Heaps (DS) Priority queue (DS) Combinatorics
14.Week	Z algorithm Hash Disjoint Data Structure (DS)
15.Week	Matrix chain multiplication SQRT Decomposition (DS)	Mo's Algorithm Rod Cutting
16.Week	Questions from previous topics
17.Week	Nim game Grundy numbers
18.Week	Sprague-Grundy theorem Fenwick tree or Binary indexed trees (DS)
19.Week	Bit Manipulation	Palindromic Tree AVL Trees
20.Week	Heavy Light Decomposition Dynamic Programming by Profile	Graph Coloring

Contributers

A NAU-ACM Project