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

Leetcode
Pattern Names
Difficulty

Counting Characters, Unique Characters

Easy

Anagrams

Easy

Palindromes

Easy

Palindromes, Anagrams

Easy

Counting Characters

Easy

KMP

Easy

Palindromes, Counting Characters

Easy

Unique Characters

Easy

Palindromes

Easy

KMP

Easy

Anagrams

Medium

Unique Characters

Medium

Anagrams, Rabin Karp

Medium

Palindromes

Medium

Palindromes

Medium

Counting Characters

Medium

Counting Characters

Medium

Unique Characters

Medium

Anagrams

Medium

Counting Characters

Medium

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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