Competitive Programming – A Complete Guide

Competitive Programming is a mental sport which enables you to code a given problem under provided constraints. The purpose of this article is to guide every individual possessing a desire to excel in this sport. This article provides a detailed syllabus for Competitive Programming designed by industry experts to boost the preparation of the readers.

Topic:

Introduction

What is Competitive Programming and How to Prepare for It?
Fast I/O: CPP,  Java, Python
Useful libraries: CPP, Java, Python
Input/Output Files: Set 1, Set 2
Tips and Tricks: Set 1, Set 2
Input Methods: CPP, Java, Python
Template: CPP
Language: CPP, Java, Python
Time Complexity: Analysis 
Setting up Competitive Programming Environment: Sublime: CPP, Visual Studio: CPP and Python

Basics, Greedy and Bit ManipulationReverse an array (Related Problems: Problem 1, Problem 2)
Sum of Digits
Program to Check if a Given String is Palindrome in C, Python (Related Problem)
Sum of array elements   (Related Problem)
Maximum and Minimum element of array   (Related Problem)
Counting frequencies of array elements (Related Problems: Problem 1, Problem 2)
Float and Precision: CPP, Java, Python
Prefix sum, 2D Prefix Sum Difference Array | Range update query in O(1): (Related Problems: Problem 1, Problem 2)
Coordinate Compression: (Related Problem)
Kadane Algorithm: (Related Problem)
Activity Selection Problem: (Related Problem)
Job Sequencing Problem: (Related Problem)
Sliding Window: (Related Problem)
Logical Operators: CPP Set 1, Set 2, Java, Python
Bit Manipulation: Set 1, Set 2, Set 3 (Related Problems: Problem 1, Problem 2, Problem 3)
Bitset CPP

Number Theory and Combinatorics

Prime Number (Related Problem)
Sieve of Eratosthenes (Related Problem)
Segmented Sieve (Related Problem)
Find all divisors of a natural number (Related Problem)
Least prime factor of numbers upto N (Related Problem)
All prime factors of a number (Related Problem)
Prime Factorization using Sieve O(log n) for multiple queries
Sum of all factors of a number (Related Problem)
Gcd of Two numbers, Lcm of two numbers (Related Problem)
Linear Diophantine Equations
Euclidean algorithms (Basic and Extended)
Euler’s Totient Function (Related Problem)
Euler’s Totient function for all numbers smaller than or equal to n
Inclusion Exclusion Principle 
Pigeon Hole Principle
Modular Operations
Modular Inverse: (Related Problem 1, Problem 2)
Chinese Remainder Theorem: Set 1, Set 2
Power(x, y) in O( logN )
Power(x, y) % mod: (Related Problem 1, Problem 2)
Matrix Exponentiation: (Related Problem)
Permutation and Combination: Set 1, Set 2, Quiz 1, Quiz 2
nCr: Set 1, Set 2
nCr % mod: Set1, Set 2: (Related Problem)
nCr % mod for multiple queries: (Related Problem)
Catalan numbers: Applications and Related Problem
Gaussian Elimination

Searching, Sorting and Basic Data Structures

Linear Search (Related Problems : Problem 1, Problem 2)
Binary Search, Unbounded Binary Search (Related Problems : Problem 1, Problem 2, Problem 3)
Inbuilt sorting O(logN): CPP, Java, Python (Related Problems : Problem 1, Problem 2, Problem 3, Problem 4)
Merge Sort (Related Problems : Problem 1, Problem 2)
Quick Sort (Related Problems : Problem)
Stack: Implementation in CPP, Java, Python (Related Problems : Problem 1, Problem 2, Problem 3)
Queue: Implementation in CPP, Java, Python (Related Problems : Problem 1, Problem 2 , Problem 3)
Deque: Implementation in CPP, Java, Python (Related Problems : Problem)
Priority Queue: Implementation in CPP, Java, Python (Related Problems : Problem 1, Problem 2, Problem 3)

Tree and Graphs

Tree BFS, Tree DFS (Related Problems : Problem 1, Problem 2, Problem 3)
Graph BFS, Graph BFS 2, Graph DFS (Related Problems : Problem 1, Problem 2)
Dijkstra’s Shortest Path Algorithm (Related Problems : Problem 1, Problem 2)
Bellman – Ford Algorithm (Related Problem)
Floyd Warshall Algorithm (Related Problem)
0-1 BFS, Dial’s Algorithm
Detect cycle: Directed, Undirected (Related Problems : Problem 1, Problem 2)
Disjoint set(union-find): Set 1, Set 2, Set 3 (Related Problem)
Topological Sorting, Kahn’s Algorithm (Related Problem)
Minimum Spanning Tree: Prim’s Algorithm, Kruskal Algorithm (Related Problem)
Bipartite or not, M-Coloring (Related Problems : Problem 1, Problem 2, Problem 3)
Strongly Connected Components: Tarjan, Kosaraju (Related Problems : Problem 1 , Problem 2)
Euler Path: Undirected, Directed (Related Problem)
Flow Algorithms: Set 1, Set 2, Dinic’s Algorithm (Related Problems : Problem 1, Problem 2)
Diameter of Tree
Centroid Decomposition
Lowest Common Ancestor

Recursion and Dynamic Programming

Recursion:  Quiz 1, Quiz 2, Quiz 3, Quiz 4, Quiz 5, Quiz 6, Quiz 7 (Related Problems : Problem 1, Problem 2, Problem 3)
Backtracking: (Related Problems : Probem 1, Problem 2)
Dp Introduction: Set 1, Set 2, Set 3, Set 4, Set 5
Most useful Dynamic Programming questions
Additional DP Problems : Problem 1, Problem 2, Problem 3, Problem 4
Dp on Trees: Set 1, Set 2
Dp on Bit Masking: Set 1, Set 2, Set 3
Digit Dp

String Algorithms

Geometry and Game Theory

Advance Data Structures

Trie: Set 1, Set 2, Set 3, (Related Problems: Problem 1, Problem 2, Problem 3, Problem 4, Problem 5)
Fenwick Tree: Set 1, Set 2, Set 3, Set 4, (Related Problem)
Segment Tree: Set 1, Set 2, Set 3 (Related Problem)
Sparse Table: Set 1, Set 2
Sqrt Decomposition: Set 1, Set 2
Heavy Light Decomposition: Set 1, Set 2
Meet in the Middle
MO’s Algorithm, Problem
Policy based Data Structure
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