Z Algorithm

[mrinalchauhan]

The Z Algorithm is an efficient string matching algorithm that computes a Z-array for a given string, which indicates the length of the longest substring starting from each index that matches the prefix of the string.

Key Points: Z-array: For a string S, Z[i] represents the length of the longest substring starting at index i that is also a prefix of S. Time Complexity: The algorithm runs in linear time, O(n + m), where n is the length of the text and m is the length of the pattern, making it faster than naive approaches. Pattern Matching: By combining the pattern and the text into a single string (e.g., pattern$text), the Z-array helps efficiently locate occurrences of the pattern within the text. Applications: It is widely used in text processing, DNA sequence analysis, and competitive programming for substring searching. The Z Algorithm is valued for its efficiency and simplicity, allowing for quick implementation in various string matching scenarios.

[codecov-commenter]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Project coverage is 69.10%. Comparing base (be0b1d5) to head (d4c9664). Report is 21 commits behind head on master.

Additional details and impacted files

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+ Coverage     67.43%   69.10%   +1.67%     
- Complexity     4578     4673      +95     
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  Files           620      624       +4     
  Lines         17147    17176      +29     
  Branches       3312     3315       +3     
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+ Hits          11563    11870     +307     
+ Misses         5138     4854     -284     
- Partials        446      452       +6     

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