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Author: DoanTrungHuy

README.md

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-# exercises-and-solutions-to-algorithmic-problems
-Accepted solutions, doing topics on: Introductory Problems, Sorting and Searching, Dynamic Programming, Graph Algorithms, Range Queries, Tree Algorithms, Mathematics, String Algorithms, Geometry.
+# Exercises and Solutions to Algorithmic Problems
+
+This repository contains a curated collection of algorithmic problems along with their accepted solutions. The problems are organized into key topics that cover a wide range of algorithmic challenges. Whether you're a beginner or looking to deepen your understanding of algorithms, this repository provides a comprehensive resource for practicing and mastering various algorithms.
+
+## Topics Covered
+
+The exercises are categorized into the following core topics:
+
+### 1. **Introductory Problems**
+   - Fundamental problems designed for beginners to get started with basic algorithmic techniques.
+
+### 2. **Sorting and Searching**
+   - Various sorting algorithms (Quick Sort, Merge Sort, etc.) and searching techniques (Binary Search, Linear Search, etc.).
+
+### 3. **Dynamic Programming**
+   - Classic dynamic programming problems that teach you how to optimize solutions by solving subproblems and storing intermediate results.
+
+### 4. **Graph Algorithms**
+   - Algorithms to solve graph-based problems, including traversal techniques like DFS, BFS, and algorithms for shortest paths, minimum spanning trees, and more.
+
+### 5. **Range Queries**
+   - Problems that deal with querying ranges of data efficiently, such as segment trees and binary indexed trees.
+
+### 6. **Tree Algorithms**
+   - Problems involving binary trees, binary search trees, AVL trees, and various tree traversal algorithms.
+
+### 7. **Mathematics**
+   - Algorithmic problems focused on mathematical concepts such as number theory, combinatorics, and prime factorization.
+
+### 8. **String Algorithms**
+   - A collection of problems related to string manipulation, pattern matching, and string processing algorithms like KMP and Rabin-Karp.
+
+### 9. **Geometry**
+   - Algorithms related to computational geometry, including problems on points, lines, and polygons.
+
+## Features
+
+- **Well-documented solutions**: Each problem is accompanied by a detailed explanation of the approach, time complexity, and edge cases.
+- **Optimized solutions**: Solutions are implemented with an emphasis on efficiency and scalability.
+- **Comprehensive test cases**: Every solution is tested with multiple test cases to ensure correctness.
+
+## Getting Started
+
+### Prerequisites
+
+Make sure you have the following tools installed on your local machine:
+- **Git**: For version control.
+- **A programming language** (such as Python, C++, or Java): Most solutions are provided in Python, but you can adapt them to other languages as needed.
+
+### Cloning the Repository
+
+To get started with this repository, clone it to your local machine using the following command:
+
+```bash
+git clone https://github.com/your-username/exercises-and-solutions-to-algorithmic-problems.git