Count Set Bits in an Integer Check if a Number is Power of Two XOR of All Subsets Find the Only Non-Repeating Element (Single Number Problem) Binary Representation of a Number Toggle Specific Bits Subset Generation Using Bit Masking Divide Without Using Division Operator Find Two Non-Repeating Numbers in an Array Minimum XOR Pair

Shortest Path in Weighted Graph (Dijkstra’s Algorithm) Finding Bridges in a Graph (Tarjan’s Algorithm) Articulation Points in a Graph Detect Cycle in a Directed Graph (Using DFS and BFS) Strongly Connected Components (Kosaraju’s Algorithm) Minimum Spanning Tree (Prim’s and Kruskal’s Algorithms) Network Flow (Ford-Fulkerson Algorithm) Bipartite Graph Check Topological Sort (Kahn’s Algorithm) Traveling Salesman Problem

Knuth-Morris-Pratt (KMP) Pattern Matching Rabin-Karp Algorithm Z Algorithm for Pattern Searching Suffix Array Construction Longest Repeated Substring Minimum Window Substring Manacher’s Algorithm for Palindromes Aho-Corasick Algorithm for Multiple Pattern Matching Edit Distance Optimization Longest Common Substring

Merge Sort and Count Inversions Closest Pair of Points in a Plane Median of Two Sorted Arrays Karatsuba Multiplication Algorithm Exponentiation Using Divide and Conquer Skyline Problem Maximum Subarray Sum Using Divide and Conque Convex Hull Using Divide and Conquer Tiling Problem Majority Element in Array

Activity Selection Problem Job Scheduling with Deadlines Fractional Knapsack Problem Huffman Coding for Data Compression Minimum Cost to Connect Ropes Optimal Merge Pattern Task Scheduling Problem Gas Station Problem Lexicographically Smallest Subsequence Jump Game Variations

Competitive & Advanced Coding

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Beginner's Guide to Mathematics and Number Theory

These tutorials will provide you with a solid foundation in Mathematics and Number Theory and prepare you for your career goals.

Mathematics and Number Theory

Prime Factorization Using Sieve
Modular Exponentiation
Greatest Common Divisor (GCD) Using Euclid’s Algorithm
Extended Euclid’s Algorithm
Modular Multiplicative Inverse
Fast Fourier Transform (FFT)
Finding All Prime Numbers Using Sieve of Eratosthenes
Counting Divisors of a Number
Chinese Remainder Theorem
Finding Modular Square Root

Bit Manipulation

Count Set Bits in an Integer
Check if a Number is Power of Two
XOR of All Subsets
Find the Only Non-Repeating Element (Single Number Problem)
Binary Representation of a Number
Toggle Specific Bits
Subset Generation Using Bit Masking
Divide Without Using Division Operator
Find Two Non-Repeating Numbers in an Array
Minimum XOR Pair

Dynamic Programming (Advanced)

Matrix Chain Multiplication
Longest Palindromic Subsequence
Egg Dropping Problem
Rod Cutting Problem
Minimum Number of Jumps to Reach End
Maximum Profit in Job Scheduling
Wildcard Matching
Partition Equal Subset Sum
Edit Distance Problem
Palindrome Partitioning

Graph Algorithms

Shortest Path in Weighted Graph (Dijkstra’s Algorithm)
Finding Bridges in a Graph (Tarjan’s Algorithm)
Articulation Points in a Graph
Detect Cycle in a Directed Graph (Using DFS and BFS)
Strongly Connected Components (Kosaraju’s Algorithm)
Minimum Spanning Tree (Prim’s and Kruskal’s Algorithms)
Network Flow (Ford-Fulkerson Algorithm)
Bipartite Graph Check
Topological Sort (Kahn’s Algorithm)
Traveling Salesman Problem

Segment Trees and Fenwick Trees

Range Sum Queries Using Segment Tree
Range Minimum Query (RMQ)
Point Updates in Segment Tree
Lazy Propagation in Segment Tree
Range Sum Queries Using Fenwick Tree
Count Inversions in an Array
Dynamic Range Sum Updates
Maximum Subarray Sum Using Segment Tree
2D Fenwick Tree for Range Queries
Kth Order Statistic Using Fenwick Tree

String Algorithms

Knuth-Morris-Pratt (KMP) Pattern Matching
Rabin-Karp Algorithm
Z Algorithm for Pattern Searching
Suffix Array Construction
Longest Repeated Substring
Minimum Window Substring
Manacher’s Algorithm for Palindromes
Aho-Corasick Algorithm for Multiple Pattern Matching
Edit Distance Optimization
Longest Common Substring

Divide and Conquer

Merge Sort and Count Inversions
Closest Pair of Points in a Plane
Median of Two Sorted Arrays
Karatsuba Multiplication Algorithm
Exponentiation Using Divide and Conquer
Skyline Problem
Maximum Subarray Sum Using Divide and Conque
Convex Hull Using Divide and Conquer
Tiling Problem
Majority Element in Array

Greedy Algorithms

Activity Selection Problem
Job Scheduling with Deadlines
Fractional Knapsack Problem
Huffman Coding for Data Compression
Minimum Cost to Connect Ropes
Optimal Merge Pattern
Task Scheduling Problem Gas Station Problem
Lexicographically Smallest Subsequence
Jump Game Variations

Advanced Data Structures

Trie Implementation and Usage
Persistent Segment Tree
Suffix Automaton
Disjoint Set Union (Union-Find) with Path Compression
Heavy-Light Decomposition
Dynamic Connectivity Using Link-Cut Trees
Sparse Table for Range Queries
Range Queries with Mo’s Algorithm
Balanced Binary Search Trees (AVL, Red-Black Trees)
Implicit Treap Implementation

Backtracking and Recursion

N-Queens Problem
Sudoku Solver
Word Break Problem
Permutations of a String
Generate Parentheses Combinations
Subset Sum Problem
Hamiltonian Path Problem
Knight’s Tour Problem
Crossword Puzzle Solver
Kth Permutation Sequence

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