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Algorithm Templates


Introduction

Algorithm Templates is a curated collection of algorithm implementations in C++, focusing on various fundamental and advanced data structures, dynamic programming problems, encoding algorithms, and sorting techniques. This project is designed to provide a practical reference for students, educators, and software developers interested in learning or teaching algorithmic concepts.

Table of Contents

Data Structures

This section includes implementations of essential data structures:

  • AVL Tree: Self-balancing binary search tree.
  • Binary Search Tree (BST): Basic BST operations.
  • Heap: Max and min heap implementations.
  • Graph: Graph implemented using adjacency list and matrix.
  • Queue: Queue implemented using nodes and vectors.
  • Stack: Stack implemented using nodes and vectors.

Dynamic Programming

Dynamic programming solutions for various classic problems:

  • Backpack Problems: Different variations like classic, continuous, limited, and infinity backpack.
  • Editorial Distance: Compute the editorial distance with full or part of the output.
  • Greatest Increasing Sequence: Solutions with O(n^2) and O(nlogn) complexities.
  • Placement of Signs: Find the placement of signs with full or partial output.

Encoding Algorithms

  • Gray Code: Implementation of the Gray Code encoding algorithm.

Sorting Algorithms

Implementations of various sorting techniques:

  • Counting Sort: Stable and unstable versions.
  • Heap Sort: Standard heap sort implementation.
  • Insertion Sort: Basic insertion sort.
  • Merge Sort: Classic merge sort algorithm.
  • Quick Sort: Quick sort with median and middle pivots.
  • Radix Sort: LSD and MSD radix sort implementations.

Other Algorithms

  • Binary Search: Implementations of left and right binary search.

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