Naive / KMP / Rabin-Karp — String Manipulation Patterns
The Naive / KMP / Rabin-Karp pattern applies when you need the Naive / KMP / Rabin-Karp technique within the String Manipulation Patterns pattern. Its time complexity is O(n × m) naive, O(n + m) with KMP or Rabin-Karp and space complexity O(m). It is used in 5 problems on Thita, including Find Beautiful Indices in the Given Array II, Find the Index of the First Occurrence in a String and Repeated String Match. Common variations are Repeated Substring Pattern Detection and Palindrome Check (Two Pointers / Reverse).
Master string matching algorithms including naive search, KMP pattern matching, and Rabin-Karp hashing.
Naive / KMP / Rabin-Karp is one of the 6 subpatterns of the String Manipulation Patterns pattern, which covers palindrome checking, anagram detection, pattern matching, and string conversion. The whole pattern is about 2 hours of study. This subpattern is a depth topic for once the core techniques are automatic.
What Naive / KMP / Rabin-Karp covers
Master string manipulation including palindrome checking, anagram detection, string matching algorithms (KMP, Rabin-Karp), and conversion problems. Problems in this subpattern are usually searched for as KMP algorithm, Rabin-Karp, string matching, pattern matching, strstr, leetcode 28.
How to practise Naive / KMP / Rabin-Karp on Thita.ai
Read the theory for Naive / KMP / Rabin-Karp, then work the problems attached to it in the browser editor. Your solution runs against the problem's test cases, and the AI coach offers a hint about the technique you are missing rather than a finished solution. Progress is tracked per subpattern, so the String Manipulation Patterns tracker shows this one as covered once you have solved its problems.
Other subpatterns in String Manipulation Patterns
- Palindrome Check (Two Pointers / Reverse) — Master palindrome checking using two pointers. Handle valid palindrome with alphanumeric and one removal cases.
- Anagram Check (Frequency Count/Sort) — Master anagram detection using frequency counting and sorting. Group anagrams efficiently.
- Repeated Substring Pattern Detection — Learn to detect if a string can be constructed by repeating a substring pattern.
- Integer and Roman Conversion — Learn to convert between integers and Roman numerals. Essential string manipulation problem.
- Multiply Strings (Manual Simulation) — Learn to multiply large numbers represented as strings using manual simulation of multiplication.
Related DSA patterns
- Linked List Manipulation Patterns — In-place reversal, merging sorted lists, reordering, and intersection detection.
- Stack Patterns — Parentheses matching, monotonic stack, histogram, and expression evaluation.
- Tree Traversal Patterns (DFS & BFS) — Preorder, inorder, level order traversal, LCA, and serialization.
- Heap (Priority Queue) Patterns — Top K elements, K-way merge, two heaps for median, and scheduling.
Where to go next
Naive / KMP / Rabin-Karp is one lesson in a 16-pattern DSA course. If you are preparing end to end, work the interview-critical patterns first and use the pattern sheet as the checklist; if you are here for one technique, the String Manipulation Patterns guide is the shortest path back to the rest of it.