A Curated list of Topic wise Theory and Questions to Get You Started On Competitive Coding.
Latest commit 54d330f Dec 14, 2016 @hkirat committed on GitHub Merge pull request #15 from rusrushal13/master
some additions.
Permalink
Failed to load latest commit information.
CONTRIBUTING.md Modified CONTRIBUTING.md Oct 22, 2015
LICENCE Modified Licence to CCO Dec 4, 2015
README.md some additions. Dec 14, 2016

README.md

Algorithmic Resources

A Curated list of Topic wise Theory and Questions to Get You Started On Competitive Coding.

Topics

Binary and Ternary Search


Binary Search : The process of exploiting the property of an array of being sorted to arrive at answers of questions in non linear time.

Ternary Search : The process of exploiting the property of a function having double diffrential of a constant sign to arrive to results in non linear time.

Dynamic Programming


Used to solve questions which can be broken down into smaller sub problems.It involves the technique of saving the result of a problem for future reference.

Flow


Game Theory


Used to solve problems involving mathematical modelling of conflict and cooperation among rational players.

  • Theory

    • Stanford - PDF on Combinatorial Games.
    • Wikipedia - Introduction to Nim Games.
    • Book - Composite Mathematical Games.
    • Book - Game Theory By Thomas S. Ferguson.
    • Wikipedia - Sprague Grundy Theorem.
    • Topcoder - Introduction to Algorithmic Games.
  • Questions on

Graphs


A graph consists of nodes and the interconnection between them.The problems involve finding shortest distance, connectivity and flow.

Greedy


Greedy problems involve solving a problem statement considering the most greedy, i.e. most optimal solution at the given time without taking into consideration the future effects of it.

Maths


Problem related to mathematics are quite common in the domain of competitive programming.It involved topics like geometry, algebra, discrete mathematics and probability.

  • Theory

    • Stanford - Stanford's Guide on Introduction To Competitive Programming.
    • Aduni - Course Guide to Discrete Mathematics.
    • Topcoder - Understanding Probability.
  • Questions on

Matrix Exponentiation


Used to solve problems which involve finding a solution to a given series by using exponentiation property on multiplication of matrices.The complexity is thus reduced to logrithmic from linear.

  • Theory

    • zobayer - Introduction to Matrix exponentiations
    • Quora - Solving Dynamic Programming with Matrix Exponentiation.
    • Codechef - Solving Recurrences using Cayley Hamilton Theorem and Matrix Exponentiation
  • Questions on

Miscellaneous


Prefix and Suffix Trees


Tries are some kind of rooted trees in which each edge has a character on it.

Binary Indexed Trees


A Fenwick tree or binary indexed tree is a data structure that can efficiently update elements and calculate prefix sums in a table of numbers.

Segment Trees


Segment tree is a tree for which each node represents an interval.

Trees


A tree is a data structure made up of nodes or vertices and edges without having any cycle.