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LetsGit.IT/Categories/Data Structures
Data Structureshard

What is a radix tree (Patricia trie) and when is it better than a normal trie?

Tags
#radix-tree#patricia#trie#prefix
Back to categoryPractice quiz

Answer

A radix tree is a compressed trie: chains of single-child nodes are merged into one edge labeled with a string segment. It saves memory and reduces pointer chasing compared to a normal trie, while keeping fast prefix lookups. It’s used for things like routing tables and prefix-based search.

Advanced answer

Deep dive

Expanding on the short answer — what usually matters in practice:

  • Context (tags): radix-tree, patricia, trie, prefix
  • Complexity: compare typical operations (average vs worst-case).
  • Invariants: what must always hold for correctness.
  • When the choice is wrong: production symptoms (latency, GC, cache misses).
  • Explain the "why", not just the "what" (intuition + consequences).
  • Trade-offs: what you gain/lose (time, memory, complexity, risk).
  • Edge cases: empty inputs, large inputs, invalid inputs, concurrency.

Examples

A tiny example (an explanation template):

// Example: discuss trade-offs for "what-is-a-radix-tree-(patricia-trie)-and-when-is"
function explain() {
  // Start from the core idea:
  // A radix tree is a compressed trie: chains of single-child nodes are merged into one edge l
}

Common pitfalls

  • Too generic: no concrete trade-offs or examples.
  • Mixing average-case and worst-case (e.g., complexity).
  • Ignoring constraints: memory, concurrency, network/disk costs.

Interview follow-ups

  • When would you choose an alternative and why?
  • What production issues show up and how do you diagnose them?

Related questions

Data Structures
What is a trie and why is it good for prefix search/autocomplete?
#trie#prefix#autocomplete
Data Structures
What is a Trie and a common use case?
#trie#prefix#autocomplete
  • How would you test edge cases?