String

String Cheat Sheet

Strings, sequences of characters, share many similarities with arrays, making an understanding of arrays beneficial before exploring strings. They are pivotal in coding interviews, where a deep comprehension of string manipulation and analysis can distinguish a candidate.

Common Data Structures for Strings

  • Trie/Prefix Tree: Optimizes word or prefix lookups, facilitating operations like autocomplete.

  • Suffix Tree: Supports complex string manipulations and efficient pattern searches, crucial for substring identification and analysis.

Common String Algorithms

  • Rabin Karp: Employs a rolling hash for efficient substring searches, ideal for plagiarism detection.

  • KMP (Knuth-Morris-Pratt): Eliminates backtracking in substring searches, enhancing efficiency in pattern matching.

Time Complexity of String Operations

  • Access: O(1), direct index access in most languages.

  • Search: O(n), varies based on the algorithm for specific patterns.

  • Insert: O(n), considering potential reallocation and shifting.

  • Remove: O(n), due to shifting elements in the string.

Operations Involving Another String

  • Find Substring: O(n*m) for the naive approach, with n and m being the lengths of the strings involved.

  • Concatenate: O(n + m), combining two strings.

  • Slice: O(m), extracting a substring.

  • Split: O(n + m), dividing a string based on a delimiter.

  • Strip: O(n), removing leading and trailing whitespaces.

Considerations

  • Character Set and Sensitivity: Clarify if the problem is case-sensitive and the allowed character set, as this can affect the solution approach.

  • Corner Cases: Prepare for scenarios like empty strings, strings with a single character, and strings with repeated or unique characters.

Techniques for String Problems

  • Counting Characters: Utilize a hash table for frequency counting, an O(1) space complexity due to the fixed number of characters.

  • Unique Characters: Implement a 26-bit bitmask for tracking unique characters, efficient for problems involving lowercase Latin characters.

  • Anagrams: Determine anagrams through sorting, prime factor decomposition, or frequency counting, each method providing a different efficiency.

  • Palindromes: Identify palindromes by reversing the string or using two pointers,. Char sequence is important here, not count.

Practice Problems

Additional Topics

  • String Compression and Decompression: Understanding algorithms for efficiently encoding and decoding strings.

  • Regular Expressions: Leveraging regex for pattern matching and string manipulation tasks.

  • Dynamic Programming on Strings: Solving problems like edit distance and substring matching through dynamic programming.

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