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LetsGit.IT/Categories/Algorithms
Algorithmshard

KMP string search: how does the LPS/prefix table avoid re-checking characters?

Tags
#kmp#string#pattern-matching#prefix-function
Back to categoryPractice quiz

Answer

KMP precomputes the longest proper prefix that is also a suffix (LPS) for each pattern prefix. On mismatch, it shifts the pattern using the LPS value instead of moving the text pointer back, so characters in the text are not re-checked.

Advanced answer

Deep dive

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

  • Context (tags): kmp, string, pattern-matching, prefix-function
  • 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 "kmp-string-search:-how-does-the-lps/prefix-table"
function explain() {
  // Start from the core idea:
  // KMP precomputes the longest proper prefix that is also a suffix (LPS) for each pattern pre
}

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?

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