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Quick Summary
Recursively remove files and directories using a restricted file system API.
Ensure child elements are fully deleted before removing their parent directory.
Return a list of all successfully deleted paths in the correct deletion order.
What This Tests
Recursive tree traversal and post-order execution
Handling hierarchical data structures with external state
Edge case validation for non-existent paths
Order-dependent operation sequencing
Common Patterns
DFS/BFS
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