TheAlgorithms/Rust ? reverse-engineered prompt

Build me a Rust project that serves as a friendly collection of common algorithms and data structures for learning.

I want it organized so someone can easily browse what is included, understand what each algorithm does, and run examples or tests to see it working. Keep it educational and practical, with clean code, simple explanations, and a clear directory that makes it easy to find things like sorting, searching, math, graph, and string routines.

Please make it feel like an open source learning repo, with good project structure, contribution friendly setup, and enough documentation so a beginner can explore it without getting lost. If you need to look up current Rust docs or best practices while building it, go ahead and do that.