Recursion and Dynamic Programming

Competitive Programming – A Complete GuideWhy Should You Do Competitive Programming?

Competitive Programming is a mental sport that 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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Table of Content

  • What is Competitive Programming?
  • Basics of Competitive Programming
  • Basics Of Array , String, Greedy and Bit Manipulation
  • Number Theory and Combinatorics
  • Searching, Sorting and Basic Data Structures
  • Tree and Graphs
  • Recursion and Dynamic Programming
  • String Algorithms
  • Geometry and Game Theory
  • Advance Data Structures

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What is Competitive Programming?

Competitive programming is a mind sport, where people compete against each other to solve some programming questions/logic with an efficient approach and within a time constraint. The goal of competitive programming is to write code to solve a problem within a given timeframe....

Basics of Competitive Programming:

What is Competitive Programming and How to Prepare for It? Competitive Programming (CP) Handbook with Complete Roadmap 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 CSES Problem Set...

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

Suffix Tree: Set 1, Set 2 Z Algorithm KMP Algorithm, Rabin-Karp Algorithm(Related Problem) Manacher’s Algorithm: Set 1, Set 2, Set 3, Set 4 Suffix Automation: Set 1, Set 2...

Geometry and Game Theory

Closest Pair of Points How to check if two given line segments intersect? (Related Problem) How to check if a given point lies inside or outside a polygon? Convex Hull: Set 1, Set 2(Related Problem) Given n line segments, find if any two segments intersect Check whether a given point lies inside a triangle or not How to check if given four points form a square: (Related Problem) Combinatorial Game Theory: Set 1 , Set 2, Set 3, Set 4 Minimax Algorithm in Game Theory: Set 1, Set 2, Set 3, Set 4, Set 5 Variation in Nim Game Find the winner in nim-game Optimal Strategy for a Game...

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...