• I have read CONTRIBUTING.md.
• This pull request is all my own work -- I have not plagiarized it.
• All filenames are in PascalCase.
• All functions and variable names follow Java naming conventions.
• All new algorithms have a URL in their comments that points to Wikipedia or other similar explanations.
• All new code is formatted with clang-format -i --style=file path/to/your/file.java

📘 Description

Implemented the Josephus problem using recursion in Java, following the style of other algorithms in the repository.

🧩 Files Added

• Josephus.java → recursive implementation in com.thealgorithms.recursion
• JosephusTest.java → comprehensive JUnit 5 test class

✅ Features

• Handles edge cases (n <= 0, k <= 0)
• Prints survivor position using printJosephus
• Includes demo main method
• 100% test coverage with clear assertions

🧑‍💻 Author

@ritesh-3822