82 lines
2.3 KiB
Text
82 lines
2.3 KiB
Text
---
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id: suffix-array
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title: "Suffix Array"
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author: Benjamin Qi
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description: "Quickly Sorting Suffixes of a String (and Applications)"
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prerequisites:
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- Gold - Hashing
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frequency: 1
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---
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import { Problem } from "../models";
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export const metadata = {
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problems: {
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sample: [
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new Problem("YS", "Suffix Array", "suffixarray", "Easy", false, [], ""),
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],
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lcpSam: [
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new Problem("YS", "# of Substrings", "number_of_substrings", "Easy", false, [], ""),
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],
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lcp: [
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new Problem("Plat", "Standing Out from the Herd", "768", "Hard", false, [], ""),
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new Problem("CF", "Two Prefixes", "contest/1090/problem/J", "Hard", false, [], ""),
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],
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burSam: [
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new Problem("CSES", "String Transform", "1113", "Easy", false, [], ""),
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],
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runSam: [
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new Problem("YS", "Run Enumerate", "runenumerate", "Hard", false, [], ""),
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]
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}
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};
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## Resources
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<resources>
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<resource source="CF" title="Suffix Array" url="edu/course/2/lesson/2" starred>Videos & Practice Problems</resource>
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<resource source="cp-algo" title="Suffix Array - Definition & Construction" url="suffix-array.html" starred></resource>
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<resource source="CPC" title="11 - Strings (Suffix Array)" url="11_strings"></resource>
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</resources>
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## Suffix Array
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<problems-list problems={metadata.problems.sample} />
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### Implementations
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<resources>
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<resource source="Benq" title="Suffix Array w/ LCP" url="https://github.com/bqi343/USACO/blob/master/Implementations/content/strings%20(14)/Light/SuffixArray%20(14.4).h">$O(N\log N)$</resource>
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</resources>
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(recommend that you also test against brute force for many small strings)
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## LCP Array
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<problems-list problems={metadata.problems.lcpSam} />
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Quickly compute longest common prefix of two suffixes.
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<problems-list problems={metadata.problems.lcp} />
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## Inverse Burrows-Wheeler
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<resources>
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<resource source="GFG" title="Inverting Burrows-Wheeler Transform" url="inverting-burrows-wheeler-transform">could be simpler?</resource>
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</resources>
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CSES Guide?
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<problems-list problems={metadata.problems.burSam} />
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## Run Enumerate
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<resources>
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<resource source="cp-algo" title="Finding repetitions" url="main_lorentz.html">could be simpler?</resource>
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</resources>
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(describe how to do easily w/ suffix array)
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<problems-list problems={metadata.problems.runSam} />
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