Set up Vite React TypeScript application with modular folder structure

[Copilot]

This PR transforms the repository from a Python algorithm practice collection into a modern web application by setting up a complete Vite React TypeScript project with a well-organized modular structure.

Changes Made

Project Setup

• Initialized a new Vite React TypeScript application using the official template
• Added all necessary configuration files (tsconfig.json, vite.config.ts, eslint.config.js)
• Set up proper Node.js project structure with package.json and dependencies
• Configured .gitignore to exclude Node.js build artifacts and dependencies

Folder Structure

Created the requested modular architecture under src/:

src/
├── teacher/          # Teacher-specific components
├── general/          # General application components  
├── student/          # Student-specific components
└── shared/           # Shared utilities and types
    ├── teacher/      # Teacher-related utilities
    ├── general/      # General helper functions
    └── student/      # Student-related utilities

Implementation Details

• Main Modules: Each of teacher/, general/, and student/ contains a React component (index.tsx) with proper TypeScript typing
• Shared Utilities: Each shared subfolder contains utility functions, interfaces, and helper methods (index.ts) specific to their domain
• Integration: Updated the main App.tsx to demonstrate all modules working together with navigation between components
• Documentation: Enhanced README.md with project structure overview and getting started instructions

Verification

The application has been thoroughly tested:

• ✅ TypeScript compilation passes without errors
• ✅ Production build completes successfully
• ✅ Development server starts and runs properly
• ✅ All module imports and exports work correctly
• ✅ Component navigation functions as expected

The repository now provides a solid foundation for building an algorithm learning platform while preserving the existing Python algorithm practice files in their respective folders (boj/, codeup/, programmers/).

This pull request was created as a result of the following prompt from Copilot chat.

Set up a new Vite React TypeScript application in this repository. The app should have the following structure:

• src/teacher
• src/general
• src/student
• src/shared/teacher
• src/shared/general
• src/shared/student

Each main folder (teacher, general, student) should be under src. In addition, under src/shared, create corresponding subfolders for teacher, general, and student. Provide basic placeholder files (such as index.tsx or index.ts) in each folder to ensure the structure is clear and compilable.

Make sure the app compiles and runs using Vite with React and TypeScript.

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