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authormzuenni <mzuenni@users.noreply.github.com>2024-07-28 22:54:40 +0200
committerGitHub <noreply@github.com>2024-07-28 22:54:40 +0200
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Test (#4)
* update * moved content in subdir * rename file * add test setup * add test setup * add github action * automaticly test all cpp files * timeout after 10s * setulimit and dont zero memory * test build pdf * install latexmk * update * update * ngerman * fonts * removed old code * add first test * added tests * test in sorted order * more tests * simplified test * more tests * fix suffix tree * fixes and improvements * done ust lst directly * fix swap * add links to pdf * fix constants * add primorial * add comment * various improvements * more tests * added missing stuf * more tests * fix tests * more tests * more tests * more tests * fix recursion? * test trie * more tests * only use python temporarily for listings * only use python temporarily for listings * more tests * fix longestCommonSubstring * more tests * more tests * made code more similiar * fix? * more tests * more tests * more tests * add ahoCorasick test + limit 4GB stack size * more tests * fix test * add additional test * more tests * more tests * fix? * better fix * fix virtual tree * more tests * more tests * recursive closest pair * more tests * decrease limit * new tests * more tests * fix name * more tests * add test * new test * more tests * more tests * more tests * more tests * new test and content * new code * new code * larger tests * fix and test * new test * new test * update pdf * remove comments * new test * more tests * more testcases * more tests * increased limit * more tests * more tests * more tests * new tests * more tests * shortened code * new test * add basic tests for bigint * more tests * removed old files * new test * ignore some files * more auto more ccw * fix test * more tests * fix * new tests * more tests * more tests * stronger test * actually verify delaunay... * more tests * fix header * more tests * run tests parallel? * test parralel? * add --missing * separate workflows * test * is the pdf checked? * separate workflows * fix workflow * more workflows --------- Co-authored-by: Yidi <noob999noob999@gmail.com>
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+\section{Datenstrukturen}
+
+\begin{algorithm}{Segmentbaum}
+ \begin{methods}
+ \method{SegTree}{baut den Baum auf}{n}
+ \method{query}{findet Summe über $[l, r)$}{\log(n)}
+ \method{update}{ändert einen Wert}{\log(n)}
+ \end{methods}
+ \sourcecode{datastructures/segmentTree.cpp}
+
+ \subsubsection{Lazy Propagation}
+ Assignment modifications, sum queries \\
+ \method{lower\_bound}{erster Index in $[l, r)$ $\geq$ x (erfordert max-combine)}{\log(n)}
+ \sourcecode{datastructures/lazyPropagation.cpp}
+\end{algorithm}
+
+\begin{algorithm}{Wavelet Tree}
+ \begin{methods}
+ \method{WaveletTree}{baut den Baum auf}{n\*\log(\Sigma)}
+ \method{kth}{sort $[l, r)[k]$}{\log(\Sigma)}
+ \method{countSmaller}{Anzahl elemente in $[l, r)$ kleiner als $k$}{\log(\Sigma)}
+ \end{methods}
+ \sourcecode{datastructures/waveletTree.cpp}
+\end{algorithm}
+\columnbreak
+
+\begin{algorithm}{Fenwick Tree}
+ \begin{methods}
+ \method{init}{baut den Baum auf}{n\*\log(n)}
+ \method{prefix\_sum}{summe von $[0, i]$}{\log(n)}
+ \method{update}{addiert ein Delta zu einem Element}{\log(n)}
+ \end{methods}
+ \sourcecode{datastructures/fenwickTree.cpp}
+
+ \begin{methods}
+ \method{init}{baut den Baum auf}{n\*\log(n)}
+ \method{prefix\_sum}{summe von [$0, i]$}{\log(n)}
+ \method{update}{addiert ein Delta zu allen Elementen $[l, r)$. $l\leq r$!}{\log(n)}
+ \end{methods}
+ \sourcecode{datastructures/fenwickTree2.cpp}
+\end{algorithm}
+
+\begin{algorithm}{STL-Rope (Implicit Cartesian Tree)}
+ \sourcecode{datastructures/stlRope.cpp}
+\end{algorithm}
+\columnbreak
+
+\begin{algorithm}{(Implicit) Treap (Cartesian Tree)}
+ \begin{methods}
+ \method{insert}{fügt wert $\mathit{val}$ an stelle $i$ ein (verschiebt alle Positionen $\geq i$)}{\log(n)}
+ \method{remove}{löscht werte $[i,i+\mathit{count})$}{\log(n)}
+ \end{methods}
+ \sourcecode{datastructures/treap2.cpp}
+\end{algorithm}
+
+\begin{algorithm}{Range Minimum Query}
+ \begin{methods}
+ \method{init}{baut Struktur auf}{n\*\log(n)}
+ \method{queryIdempotent}{Index des Minimums in $[l, r)$. $l<r$!}{1}
+ \end{methods}
+ \begin{itemize}
+ \item \code{better}-Funktion muss idempotent sein!
+ \end{itemize}
+ \sourcecode{datastructures/sparseTable.cpp}
+\end{algorithm}
+
+\begin{algorithm}{STL-Bitset}
+ \sourcecode{datastructures/bitset.cpp}
+\end{algorithm}
+
+\begin{algorithm}{Link-Cut-Tree}
+ \begin{methods}
+ \method{LCT}{baut Wald auf}{n}
+ \method{connected}{prüft ob zwei Knoten im selben Baum liegen}{\log(n)}
+ \method{link}{fügt $\{x,y\}$ Kante ein}{\log(n)}
+ \method{cut}{entfernt $\{x,y\}$ Kante}{\log(n)}
+ \method{lca}{berechnet LCA von $x$ und $y$}{\log(n)}
+ \method{query}{berechnet \code{query} auf den Knoten des $xy$-Pfades}{\log(n)}
+ \method{modify}{erhöht jeden wert auf dem $xy$-Pfad}{\log(n)}
+ \end{methods}
+ \sourcecode{datastructures/LCT.cpp}
+\end{algorithm}
+\clearpage
+
+\begin{algorithm}{Lichao}
+ \sourcecode{datastructures/lichao.cpp}
+\end{algorithm}
+
+\begin{algorithm}{Policy Based Data Structures}
+ \textbf{Wichtig:} Verwende \code{p.swap(p2)} anstatt \code{swap(p, p2)}!
+ \sourcecode{datastructures/stlPriorityQueue.cpp}
+ \columnbreak
+ \sourcecode{datastructures/pbds.cpp}
+\end{algorithm}
+
+\begin{algorithm}{Lower/Upper Envelope (Convex Hull Optimization)}
+ Um aus einem lower envelope einen upper envelope zu machen (oder umgekehrt), einfach beim Einfügen der Geraden $m$ und $b$ negieren.
+ \sourcecode{datastructures/monotonicConvexHull.cpp}
+ \sourcecode{datastructures/dynamicConvexHull.cpp}
+\end{algorithm}
+
+\begin{algorithm}{Union-Find}
+ \begin{methods}
+ \method{init}{legt $n$ einzelne Unions an}{n}
+ \method{findSet}{findet den Repräsentanten}{\log(n)}
+ \method{unionSets}{vereint 2 Mengen}{\log(n)}
+ \method{m\*findSet + n\*unionSets}{Folge von Befehlen}{n+m\*\alpha(n)}
+ \end{methods}
+ \sourcecode{datastructures/unionFind.cpp}
+\end{algorithm}
+\columnbreak
+
+\begin{algorithm}{Persistent}
+ \begin{methods}
+ \method{get}{berechnet Wert zu Zeitpunkt $t$}{\log(t)}
+ \method{set}{ändert Wert zu Zeitpunkt $t$}{\log(t)}
+ \method{reset}{setzt die Datenstruktur auf Zeitpunkt $t$}{1}
+ \end{methods}
+ \sourcecode{datastructures/persistent.cpp}
+ \sourcecode{datastructures/persistentArray.cpp}
+\end{algorithm}