Competitive Programming – A Complete Guide
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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.
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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 Of Array , String, Greedy and Bit Manipulation
- Reverse 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
- Top 50 Array Coding Problems for Interviews
- Top 50 String Coding Problems for Interviews
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
- Top 50 Tree Coding Problems for Interviews
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: Problem 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
- Top 50 Dynamic Programming Coding Problems for Interviews
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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