From c8832f81f13a85170abec943797845bcbcaf3034 Mon Sep 17 00:00:00 2001
From: fmkiotheka <fmkiotheka@inf.ufpr.br>
Date: Tue, 17 Oct 2023 16:54:43 -0300
Subject: [PATCH] Quase pronto!

---
 caderno.pdf                                   | Bin 457149 -> 423941 bytes
 caderno/caderno.tex                           | 211 ++++--------------
 fontes/articulations-bridges.h                |   2 +-
 fontes/bellman-ford.h                         |   2 +-
 fontes/bfs-01.h                               |   9 +-
 fontes/binary-lifting.h                       |   4 +-
 fontes/binomial-distribution.h                |   3 +-
 fontes/blossom.h                              |  27 +--
 fontes/bruijn.h                               |   3 +-
 fontes/centroid.h                             |   4 +-
 fontes/chinese-remainder-theorem.h            |   2 +
 fontes/custom-hash.h                          |  15 +-
 fontes/dijkstra.h                             |   9 +-
 fontes/dinic.h                                |   5 +-
 fontes/disjoint.h                             |  11 +-
 fontes/euler-totient.h                        |   2 +-
 fontes/eulerian-path.h                        |  11 +-
 fontes/extended-euclidean.h                   |   2 +-
 fontes/factorize.h                            |  13 +-
 fontes/fenwick-2d-tree.h                      |   4 +-
 fontes/fenwick-range-tree.h                   |   4 +-
 fontes/fenwick-tree.h                         |  10 +-
 fontes/floyd-warshall.h                       |   2 +-
 fontes/ford-fulkerson-edmons-karp-min-cost.h  |   1 -
 fontes/ford-fulkerson-edmons-karp.h           |   5 +-
 fontes/gauss.h                                |   2 +-
 .../generalized-chinese-remainder-theorem.h   |  22 +-
 fontes/hash.sh                                |   9 +-
 fontes/hld.h                                  |   4 +-
 fontes/interval-set.h                         |   4 +-
 fontes/josephus.h                             |   6 +-
 fontes/k-elements.h                           |   4 +-
 fontes/kadane.h                               |  12 +-
 fontes/karatsuba.h                            |   4 +-
 fontes/kosaraju.h                             |  11 +-
 fontes/kruskal.h                              |   2 +-
 fontes/kuhn.h                                 |   3 +-
 fontes/lazy-segment-tree.h                    |   6 +-
 fontes/lca-offline.h                          |   2 +-
 fontes/min-queue.h                            |   6 +-
 fontes/min-stack.h                            |  11 +-
 fontes/next-greater-element.h                 |  16 +-
 fontes/number-theoretic-transform.h           |   7 +-
 fontes/pollard-rho.h                          |   2 +-
 fontes/prim.h                                 |   2 +-
 fontes/recursive-lazy-segment-tree.h          |   6 +-
 fontes/recursive-segment-tree.h               |  12 +-
 fontes/segment-tree.h                         |   9 +-
 fontes/sieve.h                                |   2 +-
 fontes/small-to-large.h                       |   9 +-
 fontes/sparse-table.h                         |  10 +-
 fontes/spfa.h                                 |   2 +-
 fontes/stable-matching.h                      |   6 +-
 fontes/stoer-wagner.h                         |   2 +-
 fontes/suffix-array-radix.h                   |   2 +-
 fontes/tarjan.h                               |   5 +-
 fontes/topological-order.h                    |   2 +-
 fontes/tree-square-root-decomposition.h       |   4 +-
 fontes/voronoi.h                              |  22 +-
 generate.sh                                   |  14 +-
 60 files changed, 231 insertions(+), 372 deletions(-)

diff --git a/caderno.pdf b/caderno.pdf
index 287710b2c0adc994f9a51831cf88226b60a60b5e..c4990fc0b23c71cafc96aa03b9ea33e086bb1a1d 100644
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C0&7(O

diff --git a/caderno/caderno.tex b/caderno/caderno.tex
index 85692c1..15ef3e5 100644
--- a/caderno/caderno.tex
+++ b/caderno/caderno.tex
@@ -26,7 +26,9 @@
 \definecolor{commentgreen}{RGB}{2,112,10}
 \definecolor{eminence}{RGB}{210,31,60}
 
+\DeclareMathOperator{\lcm}{lcm}
 \newcommand{\bigO}{\mathcal{O}}
+\newcommand{\compl}[1]{ \color{commentgreen}{$\bigO(#1)$} }
 \lstset{
   basicstyle=\footnotesize\ttfamily,
   showspaces=false,
@@ -213,7 +215,7 @@ $m, n \in \mathbb{N}$ e $m > n$ de tal forma que:
 \begin{itemize}
   \item Se $G$ tem $k$ componentes conectadas, então $n - m + f = k + 1$.
   \item $m \le 3n - 6$. Se $G$ não tem triângulos, $m \le 2n - 4$.
-  \item O grau mínimo é $\le 5$. E pode ser 6-colorido em $\mathcal{O}(n+m)$.
+  \item O grau mínimo é $\le 5$. E pode ser 6-colorido em $\bigO(n+m)$.
 \end{itemize}
 
 \subsection{Corte mínimo}
@@ -356,7 +358,7 @@ para $a$ e $m$ coprimos.
 \lstinputlisting{fontes-com-hash/template.cpp}
 \subsection{Teste de estresse}
 \lstinputlisting[language=bash]{fontes-com-hash/stress.sh}
-\subsection{Hash de linhas em $[l, r]$}
+\subsection{Hash da entrada padrão}
 \lstinputlisting[language=bash]{fontes-com-hash/hash.sh}
 \subsection{vimrc}
 \lstinputlisting{fontes-com-hash/vimrc}
@@ -368,46 +370,12 @@ para $a$ e $m$ coprimos.
 \lstinputlisting{fontes-com-hash/disjoint.h}
 
 \subsection{Árvore de Fenwick}
-\begin{tabular}{l|l|l}
-  \hline
-  1-indexada &
-  Atualização $\bigO(\lg n)$ &
-  Consulta $\bigO(\lg n)$ \\
-  \hline
-\end{tabular}
-
-\vspace{4pt}
-\noindent
-\begin{tabular}{lll}
-  \hline
-  \textbf{Atualização} & \textbf{Consulta} & \textbf{Funções} \\ \hline
-  Ponto & Intervalo & \texttt{add} + \texttt{sum\_inclusive} \\
-  Intervalo & Ponto & \texttt{add\_inclusive} + \texttt{pref} \\
-  \hline
-\end{tabular}
-
 \lstinputlisting{fontes-com-hash/fenwick-tree.h}
 
 \subsection{Árvore de Fenwick 2D}
-\begin{tabular}{l|l|l}
-  \hline
-  1-indexada &
-  Atualização $\bigO(\lg^2 n)$ &
-  Consulta $\bigO(\lg^2 n)$ \\
-  \hline
-\end{tabular}
-
 \lstinputlisting{fontes-com-hash/fenwick-2d-tree.h}
 
 \subsection{Árvore de Fenwick intervalar}
-\begin{tabular}{l|l|l}
-  \hline
-  1-indexada &
-  Atualização $\bigO(\lg n)$ &
-  Consulta $\bigO(\lg n)$ \\
-  \hline
-\end{tabular}
-
 \lstinputlisting{fontes-com-hash/fenwick-range-tree.h}
 
 \subsection{Tabela esparsa}
@@ -424,7 +392,7 @@ para $a$ e $m$ coprimos.
 
 \subsection{Árvore de segmentos iterativa}
 \vspace{4pt}
-\noindent
+\begin{center}
 \footnotesize
 \begin{tabular}{cccc}
   \hline
@@ -434,35 +402,35 @@ para $a$ e $m$ coprimos.
   \texttt{FACTOR} & \texttt{(tb - ta + 1)} & \texttt{1} & \texttt{1} \\
   \hline
 \end{tabular}
+\end{center}
 \lstinputlisting{fontes-com-hash/segment-tree.h}
 
 \subsection{Árvore de segmentos preguiçosa iter.}
 \lstinputlisting{fontes-com-hash/lazy-segment-tree.h}
 
-\subsection{Nó de Kadane}
-\lstinputlisting{fontes-com-hash/kadane.h}
+\subsection{K maiores elementos}
+\lstinputlisting{fontes-com-hash/k-elements.h}
 
 \subsection{Hash customizado}
 \lstinputlisting{fontes-com-hash/custom-hash.h}
 
-\subsection{Árvore de segmentos recursiva}
-\lstinputlisting{fontes-com-hash/recursive-segment-tree.h}
+\subsection{Conjunto de intervalos coloridos}
+\lstinputlisting{fontes-com-hash/interval-set.h}
 
 \subsection{Árvore de segmentos preguiçosa rec.}
 \lstinputlisting{fontes-com-hash/recursive-lazy-segment-tree.h}
 
-\subsection{Conjunto de intervalos coloridos}
-\lstinputlisting{fontes-com-hash/interval-set.h}
+\subsection{Árvore de segmentos recursiva}
+\lstinputlisting{fontes-com-hash/recursive-segment-tree.h}
 
-\subsection{K maiores elementos}
-\lstinputlisting{fontes-com-hash/k-elements.h}
+\subsection{Nó de Kadane}
+\lstinputlisting{fontes-com-hash/kadane.h}
 
 \section{Grafos}
 
 \subsection{Articulações e pontes}
 \lstinputlisting{fontes-com-hash/articulations-bridges.h}
 
-\clearpage
 \subsection{Componentes fortes -- Tarjan}
 \lstinputlisting{fontes-com-hash/tarjan.h}
 
@@ -475,31 +443,6 @@ para $a$ e $m$ coprimos.
 \subsection{Busca em largura 0-1}
 \lstinputlisting{fontes-com-hash/bfs-01.h}
 
-\subsection{Emparelhamento estável}
-\begin{tabular}{l}
-  \hline
-  $\bigO(n^2)$ \\
-  \hline
-\end{tabular}
-\lstinputlisting{fontes-com-hash/stable-matching.h}
-
-\subsection{Caminho euleriano}
-\lstinputlisting{fontes-com-hash/eulerian-path.h}
-
-\clearpage
-
-\subsection{Stoer-Wagner}
-\lstinputlisting{fontes-com-hash/stoer-wagner.h}
-
-\subsection{Menor no maior}
-\lstinputlisting{fontes-com-hash/small-to-large.h}
-
-\subsection{Árvore geradora mínima -- Prim}
-\lstinputlisting{fontes-com-hash/prim.h}
-
-\subsection{Árvore geradora mínima -- Kruskal}
-\lstinputlisting{fontes-com-hash/kruskal.h}
-
 \subsection{Caminho mínimo -- Dijkstra}
 \lstinputlisting{fontes-com-hash/dijkstra.h}
 
@@ -512,6 +455,15 @@ para $a$ e $m$ coprimos.
 \subsection{Caminhos mínimos -- Floyd-Warshall}
 \lstinputlisting{fontes-com-hash/floyd-warshall.h}
 
+\subsection{Árvore geradora mínima -- Kruskal}
+\lstinputlisting{fontes-com-hash/kruskal.h}
+
+\subsection{Árvore geradora mínima -- Prim}
+\lstinputlisting{fontes-com-hash/prim.h}
+
+\subsection{Menor no maior}
+\lstinputlisting{fontes-com-hash/small-to-large.h}
+
 \subsection{Fluxo máximo}
 \lstinputlisting{fontes-com-hash/ford-fulkerson-edmons-karp.h}
 
@@ -521,55 +473,47 @@ para $a$ e $m$ coprimos.
 \subsection{Fluxo máximo Dinic}
 \lstinputlisting{fontes-com-hash/dinic.h}
 
-\subsection{Ascensão binária}
-\lstinputlisting{fontes-com-hash/binary-lifting.h}
-
-\subsection{Menor anc. comum -- Ancensão binária}
-\lstinputlisting{fontes-com-hash/lca-binary-lifting.h}
+\subsection{Stoer-Wagner}
+\lstinputlisting{fontes-com-hash/stoer-wagner.h}
 
 \subsection{Decomposição pesado-leve}
-\begin{tabular}{l|l}
-  \hline
-  \multicolumn{2}{l}{
-  Precisa de soma de prefixos/árvore de segmentos preguiçosa
-  } \\ \hline
-  \multicolumn{2}{l}{
-    Se usado com pesos nos vértices, use com $\texttt{edge\_wei} = 0$
-  } \\ \hline
-  Construção $\bigO(|V|\lg|V| + |E|)$ &
-  Atualização/Consulta $\bigO(\lg^2 n)$ \\
-  \hline
-\end{tabular}
 \lstinputlisting{fontes-com-hash/hld.h}
 
 \subsection{Decomposição pesado-leve -- K-ésimo}
 \lstinputlisting{fontes-com-hash/hld-kth.h}
 
-\clearpage
+\subsection{Caminho euleriano}
+\lstinputlisting{fontes-com-hash/eulerian-path.h}
 
-\subsection{Menor anc. comum -- Offline}
-\lstinputlisting{fontes-com-hash/lca-offline.h}
+\subsection{Ascensão binária}
+\lstinputlisting{fontes-com-hash/binary-lifting.h}
 
-\subsection{Decomposição centróide}
-\lstinputlisting{fontes-com-hash/centroid.h}
+\subsection{Menor anc. comum -- Ancensão binária}
+\lstinputlisting{fontes-com-hash/lca-binary-lifting.h}
 
 \subsection{Empar. máximo bipartido -- Kuhn}
-\begin{tabular}{l}
-  \hline
-  As partes tem enumerações distintas
-  \\ \hline
-\end{tabular}
 \lstinputlisting{fontes-com-hash/kuhn.h}
 
-\subsection{Emparelhamento Generalizado -- Blossom}
+\clearpage
+
+\subsection{Empar. generalizado -- Blossom}
 \lstinputlisting{fontes-com-hash/blossom.h}
 
-\subsection{Decomposição raiz quadrada de árvore}
-\lstinputlisting{fontes-com-hash/tree-square-root-decomposition.h}
+\subsection{Emparelhamento estável}
+\lstinputlisting{fontes-com-hash/stable-matching.h}
+
+\subsection{Decomposição centróide}
+\lstinputlisting{fontes-com-hash/centroid.h}
 
 \subsection{Menor anc. comum -- Dec. raiz quad.}
 \lstinputlisting{fontes-com-hash/lca-square-root-decomposition.h}
 
+\subsection{Decomposição raiz quadrada de árvore}
+\lstinputlisting{fontes-com-hash/tree-square-root-decomposition.h}
+
+\subsection{Menor anc. comum -- Offline}
+\lstinputlisting{fontes-com-hash/lca-offline.h}
+
 \section{Matemática}
 
 \subsection{Operações comuns}
@@ -618,19 +562,14 @@ Gera um conjunto $n/i$ para todo $i$ em $\bigO(\sqrt{n})$.
 \lstinputlisting{fontes-com-hash/division-trick.h}
 
 \subsection{Multiplicação -- Karatsuba}
-\begin{tabular}{l}
-  \hline
-  $\bigO(n^{\log_3 n})$ \\
-\hline
-\end{tabular}
 \lstinputlisting{fontes-com-hash/karatsuba.h}
 
-\subsection{Compressão de coordenadas}
-\lstinputlisting{fontes-com-hash/coordinate-compression.h}
-
 \subsection{Inclusão-Exclusão}
 \lstinputlisting{fontes-com-hash/inclusion-exclusion.h}
 
+\subsection{Compressão de coordenadas}
+\lstinputlisting{fontes-com-hash/coordinate-compression.h}
+
 \subsection{Mínimo excluído com conjunto}
 \lstinputlisting{fontes-com-hash/mexset.h}
 
@@ -644,11 +583,6 @@ Gera um conjunto $n/i$ para todo $i$ em $\bigO(\sqrt{n})$.
 \lstinputlisting{fontes-com-hash/nim.h}
 
 \subsection{Euclides estendido/inv. multiplicativo}
-\begin{tabular}{l}
-  \hline
-$\bigO(\lg \min(a, b))$ \\
-\hline
-\end{tabular}
 \begin{align*}
   ax + by &= \gcd(a, b) \\
   ax &= gcd(a, b) \pmod{b} \\
@@ -669,27 +603,12 @@ ax + by = c
 \lstinputlisting{fontes-com-hash/diophantine.h}
 
 \subsection{Fatoração por tentativa}
-\begin{tabular}{l}
-  \hline
-  $\bigO(\sqrt{n})$ \\
-\hline
-\end{tabular}
 \lstinputlisting{fontes-com-hash/factorize.h}
 
 \subsection{Crivo de Eratóstenes}
-\begin{tabular}{l}
-  \hline
-  $\bigO(n \lg\lg n)$ \\
-\hline
-\end{tabular}
 \lstinputlisting{fontes-com-hash/sieve.h}
 
 \subsection{Totiente de Euler}
-\begin{tabular}{l}
-  \hline
-  $\bigO(n \lg \lg n)$ \\
-\hline
-\end{tabular}
 \lstinputlisting{fontes-com-hash/euler-totient.h}
 
 \subsection{Eliminação gaussiana}
@@ -702,39 +621,17 @@ ax + by = c
 \lstinputlisting{fontes-com-hash/miller-rabin.h}
 
 \subsection{Pollard Rho}
-\begin{tabular}{l}
-  \hline
-  $\bigO(n^{1/4})$ \\
-\hline
-\end{tabular}
 \lstinputlisting{fontes-com-hash/pollard-rho.h}
 
 \subsection{Teorema chinês do resto}
-\begin{tabular}{l}
-  \hline
-  $\bigO(t \lg(m_1 m_2 \ldots m_t))$ \\
-\hline
-\end{tabular}
 \lstinputlisting{fontes-com-hash/chinese-remainder-theorem.h}
 
 \subsection{Teorema chinês do resto generalizado}
-\begin{tabular}{l|l}
-  \hline
-  $\bigO(t \lg(m_1 m_2 \ldots m_t))$ &
-  Infinitas soluções $\pm \text{lcm}(m_1m_2\ldots m_t)$
-  \\ \hline
-\end{tabular}
 \lstinputlisting{fontes-com-hash/generalized-chinese-remainder-theorem.h}
 
 \section{Strings}
 
 \subsection{KMP}
-\begin{tabular}{l|l}
-  \hline
-  Pré-computação $\bigO(m)$ &
-  Busca $\bigO(n + m)$ \\
-  \hline
-\end{tabular}
 \lstinputlisting{fontes-com-hash/kmp.h}
 
 \subsection{Algoritmo Z}
@@ -769,19 +666,9 @@ $z[i]$ é o tamanho da maior string que é ao mesmo tempo, um prefixo de $s$ e u
 \lstinputlisting{fontes-com-hash/point.h}
 
 \subsection{Fecho convexo de Graham}
-\begin{tabular}{l}
-  \hline
-  $\bigO(n \lg n)$ \\
-  \hline
-\end{tabular}
 \lstinputlisting{fontes-com-hash/graham.h}
 
 \subsection{Fecho convexo com corrente monotônica}
-\begin{tabular}{l}
-  \hline
-  $\bigO(n \lg n)$ \\
-  \hline
-\end{tabular}
 \lstinputlisting{fontes-com-hash/monotone.h}
 
 \subsection{Medidor giratório}
@@ -866,8 +753,6 @@ Para mudar para superconjunto, use \texttt{\~{}mask} no if.
 \subsection{Frequência de frequências/moda com Mo}
 \lstinputlisting{fontes-com-hash/freq-freq-mode.h}
 
-\clearpage
-
 \subsection{Rainhas no tabuleiro}
 \lstinputlisting{fontes-com-hash/queens.h}
 
diff --git a/fontes/articulations-bridges.h b/fontes/articulations-bridges.h
index 472c3ca..188ec5b 100644
--- a/fontes/articulations-bridges.h
+++ b/fontes/articulations-bridges.h
@@ -1,7 +1,7 @@
 int tk = 1; vector<int> tin (N, -1), low (N);
 vector<ii> brid; set<int> arti;
 
-void dfs(int u, int p) {
+void dfs(int u, int p) { //<@\compl{n+m}@>
   tin[u] = low[u] = tk++; int ch = 0;
   for (auto v : g[u]) {
     if (v == p) continue;
diff --git a/fontes/bellman-ford.h b/fontes/bellman-ford.h
index 07b0cb1..7474f1c 100644
--- a/fontes/bellman-ford.h
+++ b/fontes/bellman-ford.h
@@ -2,7 +2,7 @@ struct edge { int u, v, w; };
 vector<edge> edges;
 vector<int> d (N, oo);
 
-int bellman_ford(int src, int dest, int n) {
+int bellman_ford(int src, int dest, int n) { //<@\compl{nm}@>
   d[src] = 0;
   for (int i = 0; i < n - 1; i++)
     for (auto e : edges)
diff --git a/fontes/bfs-01.h b/fontes/bfs-01.h
index d8a12b0..2b856bc 100644
--- a/fontes/bfs-01.h
+++ b/fontes/bfs-01.h
@@ -1,12 +1,9 @@
 vector<int> d (N, oo);
 
-void bfs01(int s) {
-  d[s] = 0;
-  deque<int> q;
-  q.push_front(s);
+void bfs01(int s) { //<@\compl{n+m}@>
+  d[s] = 0; deque<int> q; q.push_front(s);
   while (!q.empty()) {
-    int u = q.front();
-    q.pop_front();
+    int u = q.front(); q.pop_front();
     for (auto [v, w] : g[u]) if (d[u] + w < d[v]) {
       d[v] = d[u] + w;
       if (w == 1) { q.push_back(v); }
diff --git a/fontes/binary-lifting.h b/fontes/binary-lifting.h
index 8818dd1..1d03e84 100644
--- a/fontes/binary-lifting.h
+++ b/fontes/binary-lifting.h
@@ -10,7 +10,7 @@ void bl_euler_tour(int u, int p, int w) {
     bl_euler_tour(v, u, w);
 }
 
-void bl_init(int u, int n) {
+void bl_init(int u, int n) { //<@\compl{m + n\lg n}@>
   dep[u] = -1; bl_euler_tour(u, u, 0);
   // can be put into bl_euler_tour but it will not
   // work with cycles (could be useful for online)
@@ -22,7 +22,7 @@ void bl_init(int u, int n) {
     }
 }
 
-ll bl_op(int a, int b) {
+ll bl_op(int a, int b) { //<@\compl{\lg n}@>
   if (!(dep[a] > dep[b])) { swap(a, b); }
   ll res = NEUTRAL;
   int diff = dep[a] - dep[b];
diff --git a/fontes/binomial-distribution.h b/fontes/binomial-distribution.h
index 5f73423..48d3d8b 100644
--- a/fontes/binomial-distribution.h
+++ b/fontes/binomial-distribution.h
@@ -1,8 +1,7 @@
 vector<double> logfact (N);
-
 void calc() {
   for (int i = 1; i < N; i++)
-    logfact[i] = logfact [i-1] + log(i);
+    logfact[i] = logfact[i-1] + log(i);
 }
 
 double binom (int n, int k, double p) {
diff --git a/fontes/blossom.h b/fontes/blossom.h
index e835c48..4ab6ab7 100644
--- a/fontes/blossom.h
+++ b/fontes/blossom.h
@@ -1,16 +1,14 @@
-int n;
 vector<int> match (N), par (N), base (N), vis (N);
-queue<int> q;
+int n; queue<int> q;
 
 void contract(int u, int v, bool first = 1) {
   static vector<bool> bloss; static int l;
   if (first) {
     bloss = vector<bool>(n, 0);
-    vector<bool> ok (n, 0);
-    int k = u; l = v;
+    vector<bool> ok (n, 0); int k = u; l = v;
     while (1) {
       ok[k = base[k]] = 1;
-      if (match[k] == -1) break;
+      if (match[k] == -1) { break; }
       k = par[match[k]];
     }
     while (!ok[l = base[l]]) l = par[match[l]];
@@ -23,19 +21,20 @@ void contract(int u, int v, bool first = 1) {
   contract(v, u, 0);
   for (int u = 0; u < n; u++) if (bloss[base[u]]) {
     base[u] = l;
-    if (!vis[u]) { q.push(u); }
-    vis[u] = 1;
+    if (!vis[u]) { q.push(u); } vis[u] = 1;
   }
 }
 
 int getpath(int s) {
-  for (int i = 0; i < n; i++) base[i] = i, par[i] = -1, vis[i] = 0;
+  for (int i = 0; i < n; i++)
+    base[i] = i, par[i] = -1, vis[i] = 0;
   vis[s] = 1; q = queue<int>(); q.push(s);
   while (q.size()) {
     int u = q.front(); q.pop();
     for (int i : g[u]) {
-      if (base[i] == base[u] || match[u] == i) { continue; }
-      if (i == s or (match[i] != -1 && par[match[i]] != -1))
+      if (base[i] == base[u] || match[u] == i)
+        continue;
+      if (i == s || (~match[i] && ~par[match[i]]))
         contract(u, i);
       else if (par[i] == -1) {
         par[i] = u;
@@ -48,13 +47,11 @@ int getpath(int s) {
   return -1;
 }
 
-int blossom() {
-  int ans = 0;
-  fill(all(match), -1);
+int blossom() { //<@\compl{n^3}@>
+  int ans = 0; fill(all(match), -1);
   for (int i = 0; i < n; i++) if (match[i] == -1)
     for (int j : g[i]) if (match[j] == -1) {
-      match[i] = j; match[j] = i; ans++; break;
-    }
+      match[i] = j; match[j] = i; ans++; break; }
   for (int i = 0; i < n; i++) if (match[i] == -1) {
     int j = getpath(i); if (j == -1) { continue; }
     ans++;
diff --git a/fontes/bruijn.h b/fontes/bruijn.h
index 5d09f53..4560f0b 100644
--- a/fontes/bruijn.h
+++ b/fontes/bruijn.h
@@ -1,5 +1,4 @@
-vector<int> a (K*N, 0);
-vector<int> seq;
+vector<int> a (K*N, 0), seq;
 
 void de_bruijn(int k, int n, int t=1, int p=1) {
   if (t > n && n % p == 0)
diff --git a/fontes/centroid.h b/fontes/centroid.h
index 837de3e..bbf0b14 100644
--- a/fontes/centroid.h
+++ b/fontes/centroid.h
@@ -14,10 +14,10 @@ int find_centroid(int u, int p, int n) {
   return u;
 }
 
-void centroid_decompose(int u, int p, int d = 0) {
+void centroid_decomp(int u, int p, int d=0) { //<@\compl{n+m}@>
   calc_size(u, u);
   int c = find_centroid(u, u, sz[u]);
   vis[c] = 1; parc[c] = p;
   for (int v : g[c]) if (!vis[v])
-    centroid_decompose(v, c, d+1);
+    centroid_decomp(v, c, d+1);
 }
diff --git a/fontes/chinese-remainder-theorem.h b/fontes/chinese-remainder-theorem.h
index 958010d..801c79a 100644
--- a/fontes/chinese-remainder-theorem.h
+++ b/fontes/chinese-remainder-theorem.h
@@ -1,3 +1,5 @@
+// infinite solutions <@$\pm \lcm(m_1m_2\ldots m_t)$@>
+//<@\compl{t \lg m_1m_2\ldots m_t}@>
 ll crt(vector<ll> a, vector<ll> m, int t) {
   ll p = 1; for (ll& mi : m) { p *= mi; }
   ll ans = 0;
diff --git a/fontes/custom-hash.h b/fontes/custom-hash.h
index e80c99a..a238efd 100644
--- a/fontes/custom-hash.h
+++ b/fontes/custom-hash.h
@@ -1,16 +1,11 @@
 struct custom_hash {
-  static uint64_t splitmix64(uint64_t x) {
-    // http://xorshift.di.unimi.it/splitmix64.c
-    x += 0x9e3779b97f4a7c15;
-    x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
-    x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
-    return x ^ (x >> 31);
-  }
-
-  size_t operator()(uint64_t x) const {
+  size_t operator()(uint64_t x) const { //<@\compl{1}@>
     static const uint64_t FIXED_RANDOM =
       chrono::steady_clock::now()
         .time_since_epoch().count();
-    return splitmix64(x + FIXED_RANDOM);
+    x += FIXED_RANDOM + 0x9e3779b97f4a7c15;
+    x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
+    x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
+    return x ^ (x >> 31);
   }
 };
diff --git a/fontes/dijkstra.h b/fontes/dijkstra.h
index 2a757a9..a198417 100644
--- a/fontes/dijkstra.h
+++ b/fontes/dijkstra.h
@@ -1,15 +1,14 @@
-void dijkstra(int src, int dest, int n) {
+void dijkstra(int s, int t, int n) { //<@\compl{(m + n)\lg n}@>
   vector<ll> d (n, oo); vector<bool> vis (n);
   vector<vector<int>> dag (n);
   priority_queue<ii, vector<ii>, greater<ii>> q;
-  d[src] = 0; q.push({0, src});
+  d[s] = 0; q.push({0, s});
   while (!q.empty()) {
     auto [c, u] = q.top(); q.pop();
-    if (vis[u]) { continue; }
-    vis[u] = 1;
+    if (vis[u]) { continue; } vis[u] = 1;
     for (auto [v, w] : gt[u]) if (d[u] == d[v] + w)
       dag[v].push_back(u);
-    if (u == dest) { break; }
+    if (u == t) { break; }
     for (auto [v, w] : g[u])
       if (d[v] > d[u] + w) {
         d[v] = d[u] + w;
diff --git a/fontes/dinic.h b/fontes/dinic.h
index 00a90e7..5b01160 100644
--- a/fontes/dinic.h
+++ b/fontes/dinic.h
@@ -32,11 +32,10 @@ ll dfs(int u, int t, ll pushed) {
   return 0;
 }
 
-ll dinic /* O(EV^2) */(int s, int t) {
+ll dinic(int s, int t) { //<@\compl{mn^2}@>
   ll max_flow = 0;
   while (1) {
-    fill(all(level), -1);
-    level[s] = 0; q.push(s);
+    fill(all(level), -1); level[s] = 0; q.push(s);
     if (!minimum_path(s, t)) { break; }
     fill(all(ptr), 0);
     while (ll pushed = dfs(s, t, 1e18))
diff --git a/fontes/disjoint.h b/fontes/disjoint.h
index fda3eb4..3154000 100644
--- a/fontes/disjoint.h
+++ b/fontes/disjoint.h
@@ -1,11 +1,11 @@
 vector<int> rep (N), rnk (N), siz (N);
 
-int ds_find(int u) {
+int ds_find(int u) { //<@\compl{\alpha(n)}@>
   if (rep[u] != u) { rep[u] = ds_find(rep[u]); }
   return rep[u];
 }
 
-void ds_unite(int u, int v) {
+void ds_unite(int u, int v) { //<@\compl{\alpha(n)}@>
   u = ds_find(u); v = ds_find(v);
   assert(u != v);
   if (!(rnk[u] > rnk[v])) { swap(u, v); }
@@ -14,8 +14,7 @@ void ds_unite(int u, int v) {
   siz[u] += siz[v];
 }
 
-void ds_init(int n) {
-  for (int u = 0; u < n; u++) {
-    rep[u] = u; rnk[u] = 0; siz[u] = 1;
-  }
+void ds_init(int n) { //<@\compl{n}@>
+  for (int u = 0; u < n; u++)
+    rep[u] = u, rnk[u] = 0, siz[u] = 1;
 }
diff --git a/fontes/euler-totient.h b/fontes/euler-totient.h
index 856870a..7ea7cbe 100644
--- a/fontes/euler-totient.h
+++ b/fontes/euler-totient.h
@@ -1,5 +1,5 @@
 vector<ll> phi (N);
-void totient(int n) {
+void totient(int n) { //<@\compl{n \lg n}@>
   for (int i = 1; i <= n; i++) { phi[i] = i; }
   for (int i = 2; i <= n; i++) if (phi[i] == i) {
     for (int j = i; j <= n; j += i) {
diff --git a/fontes/eulerian-path.h b/fontes/eulerian-path.h
index 9bb3a34..3b8b6c0 100644
--- a/fontes/eulerian-path.h
+++ b/fontes/eulerian-path.h
@@ -1,13 +1,12 @@
-vector<int> eulerian_path(int src, int n) {
+vector<int> eulerian_path(int src, int n) { //<@\compl{n+m}@>
   for (int u = 0; u < n; u++)
     if (deg[u] % 2) { return {}; }
   stack<int> st; st.push(src);
-  vector<int> res;
+  vector<int> ans;
   while (!st.empty()) {
     int u = st.top();
     if (g[u].empty()) {
-      res.push_back(u);
-      st.pop();
+      ans.push_back(u); st.pop();
     } else {
       int v = *begin(g[u]);
       g[u].erase(g[u].find(v));
@@ -17,6 +16,6 @@ vector<int> eulerian_path(int src, int n) {
   }
   for (int u = 0; u < n; u++) if (g[u].size())
     return {};
-  reverse(all(res));
-  return res;
+  reverse(all(ans));
+  return ans;
 }
diff --git a/fontes/extended-euclidean.h b/fontes/extended-euclidean.h
index 61b6a6c..6aeb762 100644
--- a/fontes/extended-euclidean.h
+++ b/fontes/extended-euclidean.h
@@ -1,4 +1,4 @@
-ll extgcd(ll a, ll b, ll& x, ll& y) {
+ll extgcd(ll a, ll b, ll& x, ll& y) { //<@\compl{\lg \min(a, b)}@>
   if (b == 0) { x = 1; y = 0; return a; }
   ll g = extgcd(b, a%b, x, y);
   tie(x, y) = make_tuple(y, x - (a/b)*y);
diff --git a/fontes/factorize.h b/fontes/factorize.h
index 1cf040c..4961dcd 100644
--- a/fontes/factorize.h
+++ b/fontes/factorize.h
@@ -1,11 +1,8 @@
-vector<int> factorize(ll n) {
-  vector<int> v;
+map<int, int> factorize(ll n) { //<@\compl{\sqrt{n}}@>
+  map<int, int> v;
   for (ll i = 2; i*i <= n; i++)
-    while (n % i == 0) {
-      n /= i;
-      v.push_back(i);
-    }
-  if (n > 1)
-    v.push_back(n);
+    while (n % i == 0)
+      n /= i, v[i]++;
+  if (n > 1) { v[n]++; }
   return v;
 }
diff --git a/fontes/fenwick-2d-tree.h b/fontes/fenwick-2d-tree.h
index 044009d..ca0a95f 100644
--- a/fontes/fenwick-2d-tree.h
+++ b/fontes/fenwick-2d-tree.h
@@ -1,12 +1,12 @@
 vector<vector<ll>> bit (N, vector<ll>(M));
 
-void add(int x, int y, ll d) {
+void add(int x, int y, ll d) { //<@\compl{\lg^2 n}@>
   for (; x < N; x += x & -x)
   for (int j = y; j < M; j += j & -j)
     bit[x][j] += d;
 }
 
-ll pref(int x, int y) {
+ll pref(int x, int y) { //<@\compl{\lg^2 n}@>
   ll sum = 0;
   for (; x > 0; x -= x & -x)
   for (int j = y; j > 0; j -= j & -j)
diff --git a/fontes/fenwick-range-tree.h b/fontes/fenwick-range-tree.h
index a8d6142..b9df47b 100644
--- a/fontes/fenwick-range-tree.h
+++ b/fontes/fenwick-range-tree.h
@@ -1,10 +1,10 @@
 vector<ll> bit1 (N), bit2 (N);
 
-void add(vector<ll>& bit, int i, ll d) {
+void add(vector<ll>& bit, int i, ll d) { //<@\compl{\lg n}@>
   for (; i < N; i += i & -i) { bit[i] += d; }
 }
 
-ll pref(vector<ll>& bit, int i) {
+ll pref(vector<ll>& bit, int i) { //<@\compl{\lg n}@>
   ll sum = 0;
   for (; i > 0; i -= i & -i) { sum += bit[i]; }
   return sum;
diff --git a/fontes/fenwick-tree.h b/fontes/fenwick-tree.h
index 686efc3..d4a9915 100644
--- a/fontes/fenwick-tree.h
+++ b/fontes/fenwick-tree.h
@@ -1,27 +1,27 @@
 vector<ll> bit (N, 0);
 
-void add(int i, ll d) {
+void add(int i, ll d) { //<@\compl{\lg n}@>
   for (; i < N; i += i & -i) { bit[i] += d; }
 }
 
-ll pref(int i) {
+ll pref(int i) { //<@\compl{\lg n}@>
   ll sum = 0;
   for (; i > 0; i -= i & -i) { sum += bit[i]; }
   return sum;
 }
 
 int sum_inclusive(int i, int j) {
-  return pref(j) - pref(i - 1);
+  return pref(j) - pref(i-1);
 }
 
 void add_inclusive(int a, int b, ll d) {
   add(a, d); add(b + 1, -d);
 }
 
-int lower_bound(ll t) {
+int lower_bound(ll t) { //<@\compl{\lg n}@>
   ll sum = 0; int pos = 0;
   for (int p = log2(N); p >= 0; p--) if (
-      pos + (1 << p) < N && sum + bit[pos + (1 << p)] < t) {
+      pos + (1<<p) < N && sum + bit[pos + (1<<p)] < t) {
     sum += bit[pos + (1 << p)];
     pos += (1 << p);
   }
diff --git a/fontes/floyd-warshall.h b/fontes/floyd-warshall.h
index df7d13b..33ddf35 100644
--- a/fontes/floyd-warshall.h
+++ b/fontes/floyd-warshall.h
@@ -1,6 +1,6 @@
 vector<vector<ll>> d (N, vector<ll>(N, oo));
 
-void floydwarshall(int n) {
+void floydwarshall(int n) { //<@\compl{n^3}@>
   for (int u = 0; u < n; u++)
     d[u][u] = 0;
   for (int m = 0; m < n; m++)
diff --git a/fontes/ford-fulkerson-edmons-karp-min-cost.h b/fontes/ford-fulkerson-edmons-karp-min-cost.h
index 97f25d3..de6b718 100644
--- a/fontes/ford-fulkerson-edmons-karp-min-cost.h
+++ b/fontes/ford-fulkerson-edmons-karp-min-cost.h
@@ -1,6 +1,5 @@
 struct edge { int u, v, cap, cost; };
 vector<edge> edges;
-
 vector<int> queu (N), ix (N), dist (N), par (N);
 
 void link(int u, int v, int cap, int cost) {
diff --git a/fontes/ford-fulkerson-edmons-karp.h b/fontes/ford-fulkerson-edmons-karp.h
index 5def2de..ee547da 100644
--- a/fontes/ford-fulkerson-edmons-karp.h
+++ b/fontes/ford-fulkerson-edmons-karp.h
@@ -26,13 +26,12 @@ bool minimum_path(int s, int t) {
   return dist[t] < oo;
 }
 
-pair<int, int> ffek /* O(VE^2) */(int s, int t) {
+pair<int, int> ffek(int s, int t) { //<@\compl{nm^2}@>
   int min_cost = 0, max_flow = 0;
   while (minimum_path(s, t)) {
     int flow = oo;
-    for (int u = t; u != s; u = par[u]) {
+    for (int u = t; u != s; u = par[u])
       flow = min(flow, edges[ix[u]].cap);
-    }
     for (int u = t; u != s; u = par[u]) {
       edges[ix[u]  ].cap -= flow;
       edges[ix[u]^1].cap += flow;
diff --git a/fontes/gauss.h b/fontes/gauss.h
index 2abfb8c..329b052 100644
--- a/fontes/gauss.h
+++ b/fontes/gauss.h
@@ -1,5 +1,5 @@
 template<typename T>
-pair<int, vector<T>> gauss(
+pair<int, vector<T>> gauss( //<@\compl{mn^2}@>
     vector<vector<T>> a, vector<T> b) {
   const double eps = 1e-6;
   int n = a.size(), m = a[0].size();
diff --git a/fontes/generalized-chinese-remainder-theorem.h b/fontes/generalized-chinese-remainder-theorem.h
index 6fb5fc5..abd721e 100644
--- a/fontes/generalized-chinese-remainder-theorem.h
+++ b/fontes/generalized-chinese-remainder-theorem.h
@@ -1,19 +1,19 @@
 ll norm(ll a, ll b) {
-    a %= b; return (a < 0) ? a + b : a;
+  a %= b; return (a < 0) ? a + b : a;
 }
 
 pair<ll, ll> crt_single(ll a, ll n, ll b, ll m) {
-    ll x, y; ll g = extgcd(n, m, x, y);
-    if ((a - b) % g) { return {-1, -1}; }
-    ll lcm = (m/g) * n;
-    return {norm(a + n*(x*(b-a)/g % (m/g)), lcm), lcm};
+  ll x, y; ll g = extgcd(n, m, x, y);
+  if ((a - b) % g) { return {-1, -1}; }
+  ll lcm = (m/g) * n;
+  return {norm(a + n*(x*(b-a)/g % (m/g)), lcm), lcm};
 }
 
 ll crt(vector<ll> a, vector<ll> m, int t) {
-    ll ans = a[0], lcm = m[0];
-    for (int i = 1; i < t; ++i) {
-        tie(ans, lcm) = crt_single(ans, lcm, a[i], m[i]);
-        if (ans == -1) { return -1; }
-    }
-    return ans;
+  ll ans = a[0], lcm = m[0];
+  for (int i = 1; i < t; ++i) {
+    tie(ans, lcm) = crt_single(ans, lcm, a[i], m[i]);
+    if (ans == -1) { return -1; }
+  }
+  return ans;
 }
diff --git a/fontes/hash.sh b/fontes/hash.sh
index 3990611..6543aa1 100644
--- a/fontes/hash.sh
+++ b/fontes/hash.sh
@@ -1,2 +1,7 @@
-sed -n $2','$3' p' $1 | sed '/^#w/d' | cpp -dD -P \
-  -fpreprocessed | tr -d '[:space:]' | md5sum | cut -c -3
+while IFS="" read -r l; do
+  h=$(echo "$l" | sed '/^#w/d' |
+    cpp -dD -P -fpreprocessed |
+    tr -d '[:space:]' | md5sum | cut -c -3)
+  [ -z "$l" ] && h=""
+  echo "$h $l"
+done
diff --git a/fontes/hld.h b/fontes/hld.h
index 73d19f0..30e79ab 100644
--- a/fontes/hld.h
+++ b/fontes/hld.h
@@ -21,7 +21,7 @@ void hld(int u, int h) {
     hld(v, v); // new chain
 }
 
-ll hld_op(int u, int v, bool edge_wei = 1) {
+ll hld_op(int u, int v, bool edge_wei = 1) { //<@\compl{\lg q}@>
   ll ans = 0;
   for (; hds[u] != hds[v]; v = par[hds[v]]) {
     if (dep[hds[u]] > dep[hds[v]]) { swap(u, v); }
@@ -31,6 +31,6 @@ ll hld_op(int u, int v, bool edge_wei = 1) {
   return OP(ans, op_inclusive(ixs[u] + edge_wei, ixs[v]));
 }
 
-void hld_init(int u, int n) {
+void hld_init(int u, int n) { //<@\compl{n+m+b}@>
   cix = 1; hld_fill(u, u); hld(u, u); build(ori, n);
 }
diff --git a/fontes/interval-set.h b/fontes/interval-set.h
index 818d3a7..8db08b7 100644
--- a/fontes/interval-set.h
+++ b/fontes/interval-set.h
@@ -9,7 +9,7 @@ struct itvl {
 
 set<itvl, less<>> si;
 
-void ins_in(itvl in) {
+void ins_in(itvl in) { //<@\compl{\lg n}@>
   auto it = si.lower_bound(in);
   int a = in.a, b = in.b, c = in.c;
   if (si.size() > 0 && it != begin(si)
@@ -23,7 +23,7 @@ void ins_in(itvl in) {
   si.insert(itvl(a, b, c));
 }
 
-void upd_color(int a, int b, int c) {
+void upd_color(int a, int b, int c) { //<@\compl{\lg n}@>
   auto it = si.lower_bound(b);
   if (it != end(si)) {
     itvl ori = *it; si.erase(it);
diff --git a/fontes/josephus.h b/fontes/josephus.h
index 89062e6..80b00f8 100644
--- a/fontes/josephus.h
+++ b/fontes/josephus.h
@@ -1,13 +1,13 @@
-int josephusrec(int n, int k) {
+int josephusrec(int n, int k) { //<@\compl{n}@>
   return n ? (josephusrec(n-1, k) + k) % n : 0;
 }
-int josephus /* O(n) */ (int n, int k) {
+int josephus(int n, int k) { //<@\compl{n}@>
   int res = 0;
   for (int i = 1; i <= n; ++i)
     res = (res + k) % i;
   return res+1;
 }
-int josephusklgn /* O(k log n) */ (int n, int k) {
+int josephusklgn(int n, int k) { //<@\compl{k\lg n}@>
   if (n == 1) { return 0; }
   if (k == 1) { return n-1; }
   if (k > n) { return (josephusklgn(n-1, k) + k) % n; }
diff --git a/fontes/k-elements.h b/fontes/k-elements.h
index 043baed..3ac64dd 100644
--- a/fontes/k-elements.h
+++ b/fontes/k-elements.h
@@ -8,7 +8,7 @@ template <class C = less<>>
 struct k_elements {
   int k; ord_set<pair<ll, int>, C> s; ll sum;
   k_elements(int k) : k(k), sum(0) {};
-  void insert(int key, ll value) {
+  void insert(int key, ll value) { //<@\compl{\lg n}@>
     int l = s.order_of_key(make_pair(value, key));
     s.insert(make_pair(value, key));
     if (l >= k) { return; }
@@ -16,7 +16,7 @@ struct k_elements {
     if (s.size() > k)
       sum -= s.find_by_order(k)->first;
   }
-  void remove(int key, ll value) {
+  void remove(int key, ll value) { //<@\compl{\lg n}@>
     if (s.order_of_key(make_pair(value, key)) < k) {
       sum -= value;
       if (s.size() > k)
diff --git a/fontes/kadane.h b/fontes/kadane.h
index 76dec7c..eb07582 100644
--- a/fontes/kadane.h
+++ b/fontes/kadane.h
@@ -1,13 +1,13 @@
 struct kadane {
-  int sum, pref, suff, ans;
-  kadane() : sum(-oo) { pref = suff = ans = 0; }
-  kadane(int x) : sum(x) { pref = suff = ans = max(x, 0); }
+  int sum, pre, suf, ans;
+  kadane(int x) : sum(x) { pre = suf = ans = max(x, 0); }
+  kadane() : kadane(-oo) {}
   kadane operator+(kadane const& r) {
     auto l = *this; kadane a;
     a.sum = max(l.sum + r.sum, -oo);
-    a.pref = max(l.pref, l.sum + r.pref);
-    a.suff = max(r.suff, r.sum + l.suff);
-    a.ans = max({ l.ans, r.ans, l.suff + r.pref });
+    a.pre = max(l.pre, l.sum + r.pre);
+    a.suf = max(r.suf, r.sum + l.suf);
+    a.ans = max({ l.ans, r.ans, l.suf + r.pre });
     return a;
   }
 }
diff --git a/fontes/karatsuba.h b/fontes/karatsuba.h
index b9b60e4..48e949a 100644
--- a/fontes/karatsuba.h
+++ b/fontes/karatsuba.h
@@ -1,5 +1,5 @@
-vector<ll> karatsuba(const vector<ll> &a,
-    const vector<ll> &b) {
+vector<ll> karatsuba /* O(n^{log 3 n})*/(
+    const vector<ll> &a, const vector<ll> &b) {
   int n = a.size();
   vector<ll> res(n + n);
   if (n <= 32) {
diff --git a/fontes/kosaraju.h b/fontes/kosaraju.h
index 1a4d62a..6f6fe21 100644
--- a/fontes/kosaraju.h
+++ b/fontes/kosaraju.h
@@ -1,10 +1,8 @@
-int cts = 1;
-vector<int> vis (N), rep (N);
+int cts = 1; vector<int> vis (N), rep (N);
 stack<int> sinks;
 
 void fill_stack(int u) {
-  if (vis[u] == cts) { return; }
-  vis[u] = cts;
+  if (vis[u] == cts) { return; } vis[u] = cts;
   for (int v : g_t[u]) { fill_stack(v); }
   sinks.push(u);
 }
@@ -15,10 +13,9 @@ void mark_component(int u, int r) {
   for (int v : g[u]) { mark_component(v, r); }
 }
 
-stack<int> kosaraju(int n) {
+stack<int> kosaraju(int n) { //<@\compl{n+m}@>
   for (int u = 0; u < n; u++) { fill_stack(u); }
-  cts++;
-  stack<int> topo;
+  cts++; stack<int> topo;
   while (!sinks.empty()) {
     int u = sinks.top(); sinks.pop();
     mark_component(u, u);
diff --git a/fontes/kruskal.h b/fontes/kruskal.h
index 0863380..c0f2bdd 100644
--- a/fontes/kruskal.h
+++ b/fontes/kruskal.h
@@ -3,7 +3,7 @@ struct edge {
   bool operator<(struct edge &o) { return w < o.w; }
 };
 
-int kruskal(int n) {
+int kruskal(int n) { //<@\compl{m\alpha(n)}@>
   sort(all(edges));
   ds_init(n); int components = n; ll sum = 0;
   for (auto [u, v, w] : edges) {
diff --git a/fontes/kuhn.h b/fontes/kuhn.h
index 855e504..049c154 100644
--- a/fontes/kuhn.h
+++ b/fontes/kuhn.h
@@ -1,3 +1,4 @@
+// distinct enumeration
 vector<vector<int>> g (L);
 vector<int> matchr (R, -1);
 
@@ -10,7 +11,7 @@ int dfs(int u) {
   return 0;
 }
 
-int kuhn(int l) {
+int kuhn(int l) { //<@\compl{nm}@>
   int ans = 0;
   for (int u = 0; u < l; u++) { ans += dfs(u); cts++; }
   return ans;
diff --git a/fontes/lazy-segment-tree.h b/fontes/lazy-segment-tree.h
index 9ad17ad..64115a7 100644
--- a/fontes/lazy-segment-tree.h
+++ b/fontes/lazy-segment-tree.h
@@ -2,7 +2,7 @@ const int L = ceil(log2(N));
 struct dlta { int add = 0, set = -1; };
 vector<ll> t (2*N); vector<dlta> delta (2*N);
 
-void build(vector<int>& src, int n) {
+void build(vector<int>& src, int n) { //<@\compl{n}@>
   for (int i = 1; i <= n; i++)
     t[n+i] = src[i];
   for (int ti = n-1; ti > 0; ti--)
@@ -39,7 +39,7 @@ void push(int i) {
 }
 
 void apply_inclusive(int l, int r, int n,
-    char op = '\0', ll x = 0) {
+    char op = '\0', ll x = 0) { //<@\compl{\lg n}@>
   r++; dlta d;
   if (op == '+') { d.add = x; }
   if (op == '=') { d.set = x; }
@@ -56,7 +56,7 @@ void add_inclusive(int l, int r, int n, ll d) {
   apply_inclusive(l, r, n, '+', d);
 }
 
-ll op_inclusive(int l, int r, int n) {
+ll op_inclusive(int l, int r, int n) { //<@\compl{\lg n}@>
   r++;
   int tl = l += n, tr = r += n, sz = 1;
   push(tl); push(tr);
diff --git a/fontes/lca-offline.h b/fontes/lca-offline.h
index 8a87143..1255139 100644
--- a/fontes/lca-offline.h
+++ b/fontes/lca-offline.h
@@ -1,7 +1,7 @@
 vector<vector<int>> queries (N);
 vector<int> anc (N); vector<bool> vis (N);
 
-void dfs(int u) {
+void dfs(int u) { //<@\compl{n\alpha(n)+m+q\alpha(n)}@>
   vis[u] = 1; anc[u] = u;
   for (int v : adj[u]) if (!vis[v]) {
     dfs(v); ds_unite(u, v); anc[ds_find(u)] = u;
diff --git a/fontes/min-queue.h b/fontes/min-queue.h
index 1c0fd81..99f1f50 100644
--- a/fontes/min-queue.h
+++ b/fontes/min-queue.h
@@ -1,10 +1,10 @@
 stack<pair<int, int>> s1, s2;
 
-void enqueue_el(int x) {
+void enqueue_el(int x) { //<@\compl{1}@>
   int m = min(x, s1.size() ? s1.top().second : oo);
   s1.push({ x, m });
 }
-int dequeue_el() {
+int dequeue_el() { //<@\compl{1}@>
   if (s2.empty()) while (!s1.empty()) {
     int el = s1.top().first; s1.pop();
     int m = min(el, s2.size() ? s2.top().second : oo);
@@ -12,7 +12,7 @@ int dequeue_el() {
   }
   int r = s2.top().first; s2.pop(); return r;
 }
-int min_el() {
+int min_el() { //<@\compl{1}@>
   return min(
     s1.size() ? s1.top().second : oo,
     s2.size() ? s2.top().second : oo);
diff --git a/fontes/min-stack.h b/fontes/min-stack.h
index 904b5c2..f879311 100644
--- a/fontes/min-stack.h
+++ b/fontes/min-stack.h
@@ -1,9 +1,12 @@
 stack<pair<int, int>> st;
 
-void push_el(int x) {
+void push_el(int x) { //<@\compl{1}@>
   int m = st.empty() ? x : min(x, st.top().second);
   st.push({x, m});
 }
-int pop_el() {
-  int r = st.top().first; st.pop(); return r; }
-int min_el() { return st.top().second; }
+int pop_el() { //<@\compl{1}@>
+  int r = st.top().first; st.pop(); return r;
+}
+int min_el() { //<@\compl{1}@>
+  return st.top().second;
+}
diff --git a/fontes/next-greater-element.h b/fontes/next-greater-element.h
index da7a813..4ed26c4 100644
--- a/fontes/next-greater-element.h
+++ b/fontes/next-greater-element.h
@@ -1,9 +1,11 @@
-stack<int> nge;
-// start from the end for previous
-for (int i = 0; i < n; i++) {
-  // < is greater next, > is lesser next
-  while (!nge.empty() && v[nge.top()] < v[i]) {
-    ans[nge.top()] = i; nge.pop();
+vector<int> next_greater_element(vector<int> v) { //<@\compl{n}@>
+  vector<int> ans (v.size()); stack<int> nge;
+  // start from the end for previous
+  for (int i = 0; i < n; i++) {
+    // < is greater next, > is lesser next
+    while (!nge.empty() && v[nge.top()] < v[i])
+      ans[nge.top()] = i, nge.pop();
+    nge.push(i);
   }
-  nge.push(i);
+  return ans;
 }
diff --git a/fontes/number-theoretic-transform.h b/fontes/number-theoretic-transform.h
index db36cc3..3c813db 100644
--- a/fontes/number-theoretic-transform.h
+++ b/fontes/number-theoretic-transform.h
@@ -1,9 +1,8 @@
-void ntt (vector<mint>& a, bool rev) {
+void ntt(vector<mint>& a, bool rev) { //<@\compl{n \lg n}@>
   int n = a.size(); auto b = a;
   mint g = 1;
   while (binary_pow(g, P/2) == 1) g += 1;
   if (rev) { g = binary_pow(g.x, P-2); }
-
   for (int st = n/2; st; st /= 2) {
     mint w = binary_pow(g, P/(n/st)), wn = 1;
     for (int i = 0; i < n/2; i += st) {
@@ -15,12 +14,12 @@ void ntt (vector<mint>& a, bool rev) {
     }
     swap(a, b);
   }
-
   mint n1 = binary_pow(n, P-2);
   if (rev) for (mint& x : a) { x *= n1; }
 }
 
-vector<mint> convolution (vector<mint>& a, vector<mint>& b) {
+vector<mint> convolution (
+    vector<mint>& a, vector<mint>& b) {
   vector<mint> fa (all(a)), fb (all(b));
   int n = 1;
   while (n < a.size() + b.size()) { n *= 2; }
diff --git a/fontes/pollard-rho.h b/fontes/pollard-rho.h
index 1bf2067..1d5ae67 100644
--- a/fontes/pollard-rho.h
+++ b/fontes/pollard-rho.h
@@ -1,4 +1,4 @@
-ll pollard(ll n) {
+ll pollard(ll n) { //<@\compl{n^{\frac{1}{4}}}@>
   auto f = [n](ll x) {
     return (fast_pow(x, x, n) + 1) % n;
   };
diff --git a/fontes/prim.h b/fontes/prim.h
index 33dadb0..470533e 100644
--- a/fontes/prim.h
+++ b/fontes/prim.h
@@ -1,4 +1,4 @@
-ll prim(int src, int n) {
+ll prim(int src, int n) { //<@\compl{(m + n)\lg n}@>
   vector<bool> vis (n); vector<int> par (n, -1);
   vector<ll> d (n, oo); vector<vector<ii>> pt (n);
   ll sum = 0;
diff --git a/fontes/recursive-lazy-segment-tree.h b/fontes/recursive-lazy-segment-tree.h
index dd638c6..0995ed6 100644
--- a/fontes/recursive-lazy-segment-tree.h
+++ b/fontes/recursive-lazy-segment-tree.h
@@ -1,7 +1,7 @@
 vector<ll> t (4*N), lazy (4*N), sety (4*N, -1);
 
 void build(vector<int>& src,
-    int ti=1, int tl=1, int tr=N) {
+    int ti=1, int tl=1, int tr=N) { //<@\compl{n}@>
   if (tl == tr) {
     if (tl < src.size()) { t[ti] = src[tl]; }
     return;
@@ -28,7 +28,7 @@ void push(int ti, int tl, int tm, int tr) {
 }
 
 void update_inclusive(int l, int r, char op, int d,
-    int ti=1, int tl=1, int tr=N) {
+    int ti=1, int tl=1, int tr=N) { //<@\compl{\lg n}@>
   if (l > r) { return; }
   if (l == tl && tr == r) {
     if (op == '=') {
@@ -46,7 +46,7 @@ void update_inclusive(int l, int r, char op, int d,
 }
 
 ll op_inclusive(int l, int r,
-    int ti=1, int tl=1, int tr=N) {
+    int ti=1, int tl=1, int tr=N) { //<@\compl{\lg n}@>
   if (l > r) { return NEUTRAL; }
   if (l <= tl && tr <= r) { return t[ti]; }
   int tm = (tl + tr) / 2; push(ti, tl, tm, tr);
diff --git a/fontes/recursive-segment-tree.h b/fontes/recursive-segment-tree.h
index 10916c2..1595345 100644
--- a/fontes/recursive-segment-tree.h
+++ b/fontes/recursive-segment-tree.h
@@ -1,7 +1,7 @@
 vector<ll> t (4*N);
 
 void build(vector<ll>& src,
-    int ti=1, int tl=1, int tr=N) {
+    int ti=1, int tl=1, int tr=N) { //<@\compl{n}@>
   if (tl == tr) {
     if (tl < src.size()) { t[ti] = src[tl]; }
     return;
@@ -13,7 +13,7 @@ void build(vector<ll>& src,
 }
 
 ll op_inclusive(int l, int r,
-    int ti=1, int tl=1, int tr=N) {
+    int ti=1, int tl=1, int tr=N) { //<@\compl{\lg n}@>
   if (l > r) { return NEUTRAL; }
   if (l == tl && r == tr) { return t[ti]; }
   int tm = (tl + tr) / 2;
@@ -22,12 +22,10 @@ ll op_inclusive(int l, int r,
 }
 
 void set_value(int i, ll v,
-    int ti=1, int tl=1, int tr=N) {
+    int ti=1, int tl=1, int tr=N) { //<@\compl{\lg n}@>
   if (tl == tr) { t[ti] = v; return; }
   int tm = (tl + tr) / 2;
-  if (i <= tm)
-    set_value(i, v, ti*2, tl, tm);
-  else
-    set_value(i, v, ti*2+1, tm+1, tr);
+  if (i <= tm) { set_value(i, v, ti*2, tl, tm); }
+  else { set_value(i, v, ti*2+1, tm+1, tr); }
   t[ti] = OP(t[ti*2], t[ti*2+1]);
 }
diff --git a/fontes/segment-tree.h b/fontes/segment-tree.h
index c986954..6c96c9c 100644
--- a/fontes/segment-tree.h
+++ b/fontes/segment-tree.h
@@ -1,15 +1,14 @@
 vector<int> t (2*N);
 
-void build(vector<int>& src, int n) {
+void build(vector<int>& src, int n) { //<@\compl{n}@>
   for (int i = 1; i <= n; i++)
     t[n+i] = src[i];
   for (int ti = n-1; ti > 0; ti--)
     t[ti] = OP(t[2*ti], t[2*ti+1]);
 }
 
-int op_inclusive(int l, int r, int n) {
-  r++;
-  int left = NEUTRAL, righ = NEUTRAL;
+int op_inclusive(int l, int r, int n) { //<@\compl{\lg n}@>
+  r++; int left = NEUTRAL, righ = NEUTRAL;
   for (l += n, r += n; l < r; l /= 2, r /= 2) {
     if (l & 1) left = OP(left, t[l++]);
     if (r & 1) righ = OP(t[--r], righ);
@@ -17,7 +16,7 @@ int op_inclusive(int l, int r, int n) {
   return OP(left, righ);
 }
 
-void set_value(int i, int v, int n) {
+void set_value(int i, int v, int n) { //<@\compl{\lg n}@>
   t[i += n] = v;
   for (i /= 2; i > 0; i /= 2)
     t[i] = OP(t[i*2], t[i*2+1]);
diff --git a/fontes/sieve.h b/fontes/sieve.h
index 31440de..b31a6f2 100644
--- a/fontes/sieve.h
+++ b/fontes/sieve.h
@@ -1,5 +1,5 @@
 vector<bool> sieve (1e7+15, 1);
-void eratosthenes(int n) {
+void eratosthenes(int n) { //<@\compl{n \lg \lg n}@>
   for (int i = 2; i * i <= n; i++) if (sieve[i])
     for (int j = i * i; j <= n; j += i)
       sieve[j] = 0;
diff --git a/fontes/small-to-large.h b/fontes/small-to-large.h
index e098a04..5488fe7 100644
--- a/fontes/small-to-large.h
+++ b/fontes/small-to-large.h
@@ -1,5 +1,4 @@
-vector<int> hvy (N);
-vector<int> sz (N, 1);
+vector<int> hvy (N), sz (N, 1);
 
 int calc_size(int u, int p) {
   for (int v : g[u]) if (v != p)
@@ -8,12 +7,12 @@ int calc_size(int u, int p) {
 }
 
 void dfs_add(int u, int p, int x) {
-  // add
+  // implement add
   for (int v : g[u]) if (v != p && !hvy[v])
     dfs_add(v, u, x);
 }
 
-void small_large(int u, int p, bool keep) {
+void small_large(int u, int p, bool keep) { //<@\compl{n\lg n}@>
   int mx = -1, h = -1;
   for (int v : g[u]) if (v != p && sz[v] > mx) {
     mx = sz[v]; h = v;
@@ -22,7 +21,7 @@ void small_large(int u, int p, bool keep) {
     small_large(v, u, 0);
   if (h != -1) { small_large(h, u, 1); hvy[h] = 1; }
   dfs_add(u, p, +1);
-  // solve queries
+  // solve queries for u
   if (h != -1) { hvy[h] = 0; }
   if (keep == 0) { dfs_add(u, p, -1); }
 }
diff --git a/fontes/sparse-table.h b/fontes/sparse-table.h
index c54a2a8..c42a221 100644
--- a/fontes/sparse-table.h
+++ b/fontes/sparse-table.h
@@ -1,19 +1,15 @@
 const int K = 25;
-vector<int> lg (N+1);
 vector<vector<int>> st (N, vector<int>(K+1));
 
-void build(vector<int>& src) {
-  lg[1] = 0;
-  for (int i = 2; i <= N; i++) { lg[i] = lg[i/2] + 1; }
+void build(vector<int>& src) { //<@\compl{n \lg n}@>
   for (int i = 0; i < src.size(); i++)
     st[i][0] = src[i];
-
   for (int j = 1; j <= K; j++)
   for (int i = 0; i + (1 << j) <= N; i++)
     st[i][j] = min(st[i][j-1], st[i+(1 << (j-1))][j-1]);
 }
 
-int min_inclusive(int l, int r) {
-  int j = lg[r-l+1];
+int min_inclusive(int l, int r) { //<@\compl{1}@>
+  int j = __lg(r-l+1);
   return min(st[l][j], st[r-(1 << j)+1][j]);
 }
diff --git a/fontes/spfa.h b/fontes/spfa.h
index 661c124..58cd40d 100644
--- a/fontes/spfa.h
+++ b/fontes/spfa.h
@@ -1,4 +1,4 @@
-bool spfa(int src, int n) {
+bool spfa(int src, int n) { //<@\compl{nm}@>
   vector<int> cnt (n); vector<bool> queu (n);
   vector<ll> d (n, oo);
   queue<int> q; q.push(src); d[src] = 0;
diff --git a/fontes/stable-matching.h b/fontes/stable-matching.h
index ff39bf1..18a49d5 100644
--- a/fontes/stable-matching.h
+++ b/fontes/stable-matching.h
@@ -3,12 +3,10 @@ vector<vi> pwix (N, vi(N+1)); // [w][m] = j
 vector<bool> single (N, 1);
 vector<int> match (N, -1), watch (N, N);
 
-vector<ii> galeshapley(int n) {
-  // sentinel
+vector<ii> galeshapley(int n) { //<@\compl{n^2}@>
   for (int w = 0; w < n; w++) { pwix[w][n] = n; }
   bool done = 0;
-  while (!done) {
-    done = 1;
+  while (!done) { done = 1;
     for (int m = 0; m < n; m++) if (single[m]) {
       done = 0; match[m] += 1;
       int w = pm[m][match[m]];
diff --git a/fontes/stoer-wagner.h b/fontes/stoer-wagner.h
index 65a50ee..5a6f76f 100644
--- a/fontes/stoer-wagner.h
+++ b/fontes/stoer-wagner.h
@@ -22,7 +22,7 @@ int contract(int n, int &s, int &t) {
   return mincut;
 }
 
-int stoer_wagner(int n) {
+int stoer_wagner(int n) { //<@\compl{nm + n^2\lg n}@>
   int mincut = oo, s, t;
   for (int i = 0; i < n-1; i++) {
     mincut = min(mincut, contract(n, s, t));
diff --git a/fontes/suffix-array-radix.h b/fontes/suffix-array-radix.h
index 0837d4f..7c2739f 100644
--- a/fontes/suffix-array-radix.h
+++ b/fontes/suffix-array-radix.h
@@ -3,7 +3,7 @@ pair<vector<int>, vector<int>> build_sa(string s, int n) {
   vector<pair<int, int>> a (n);
   for (int i = 0; i < n; i++) { a[i] = { s[i], i }; }
   sort(all(a));
-  for (int i = 0; i < n; i++) { tie(sk[i], sa[i]) = a[i]; }
+  for (int i = 0; i < n; i++) { tie(sk[i],sa[i]) = a[i]; }
   vector<int> nsk(n);
   for (int i = 1, r = 0; i < n; i++)
     nsk[sa[i]] = (sk[i-1] == sk[i] ? r : ++r);
diff --git a/fontes/tarjan.h b/fontes/tarjan.h
index 1b549b8..321b777 100644
--- a/fontes/tarjan.h
+++ b/fontes/tarjan.h
@@ -1,6 +1,5 @@
 vector<int> tin (N, -1), lowlnk (N, -1), rep (N);
-stack<int> st, topo;
-int cts = 1;
+stack<int> st, topo; int cts = 1;
 
 void dfs_tarjan(int u) {
   if (tin[u] != -1) { return; }
@@ -19,7 +18,7 @@ void dfs_tarjan(int u) {
   }
 }
 
-stack<int> tarjan(int n) {
+stack<int> tarjan(int n) { //<@\compl{n+m}@>
   for (int u = 0; u < n; u++) { dfs_tarjan(u); }
   return topo;
 }
diff --git a/fontes/topological-order.h b/fontes/topological-order.h
index dbf4edb..613421f 100644
--- a/fontes/topological-order.h
+++ b/fontes/topological-order.h
@@ -7,7 +7,7 @@ void dfs_topo(int u) {
   st.push(u);
 }
 
-vector<int> toposort(int n) {
+vector<int> toposort(int n) { //<@\compl{n+m}@>
   fill(begin(vis), begin(vis)+n, 0);
   vector<int> topo;
   for (int u = 0; u < n; u++) { dfs_topo(u); }
diff --git a/fontes/tree-square-root-decomposition.h b/fontes/tree-square-root-decomposition.h
index 5a9f3b9..416a7eb 100644
--- a/fontes/tree-square-root-decomposition.h
+++ b/fontes/tree-square-root-decomposition.h
@@ -1,7 +1,7 @@
 vector<int> up (N), bup (N), depth (N);
 vector<ll> weiop (N), bweiop (N);
 
-void stdt_decompose(int u, int p, int w) {
+void stdt_decompose(int u, int p, int w) { //<@\compl{n+m}@>
   up[u] = p; weiop[u] = w;
   depth[u] = depth[p] + 1;
   bup[u] = depth[u] % B ? bup[p] : p;
@@ -10,7 +10,7 @@ void stdt_decompose(int u, int p, int w) {
     stdt_decompose(v, u, w);
 }
 
-int stdt_op(int a, int b) {
+int stdt_op(int a, int b) { //<@\compl{\sqrt{n}}@>
   int ans = NEUTRAL;
   if (!(depth[a]/B > depth[b]/B)) { swap(a, b); }
   while (depth[a]/B > depth[b]/B) {
diff --git a/fontes/voronoi.h b/fontes/voronoi.h
index 580a713..cb1fbf6 100644
--- a/fontes/voronoi.h
+++ b/fontes/voronoi.h
@@ -18,15 +18,15 @@ pt line_intersect(pt a, pt b, pt u, pt v) {
 pt circumcenter(pt a, pt b, pt c) {
   b = (a + b) * ld(.5);
   c = (a + c) * ld(.5);
-  return point_in_line_line(
-      seg(b, b + rot(vec(a, b))), seg(c, c + rot(vec(a, c))));
+  return point_in_line_line(seg(b, b + rot(vec(a, b))),
+      seg(c, c + rot(vec(a, c))));
 }
 
 ld parab_intersect(pt l, pt r, ld sw) {
   if (abs(l.py - r.py) < abs(l.px - r.px) * EPS) {
     int sign = l.px < r.px ? 1 : -1;
     pt m = 0.5l * (l+r);
-    pt v = line_intersect(m, rot(r-l), pt(0, sw), pt(1, 0));
+    pt v = line_intersect(m, rot(r-l), pt(0,sw), pt(1,0));
     pt w = line_intersect(m, rot(l-v), v, l-v);
     ld l1 = abs(v-w);
     ld l2 = sqrt(sq(sw-m.py) - norm(m-w));
@@ -116,13 +116,13 @@ struct beach {
   }
 }; using arc = beach::arc;
 
-struct event {
-  event(ld sw, int ix)
+struct ev {
+  ev(ld sw, int ix)
     : type(0), sw(sw), ix(ix) {}
-  event(ld sw, arc* c) : type(1), sw(sw),
+  ev(ld sw, arc* c) : type(1), sw(sw),
     prv(c->prv->ix), cur(c), nxt(c->nxt->ix) {}
   int type, ix, prv, nxt; arc* cur; ld sw;
-  bool operator>(const event &l) const { return sw > l.sw; }
+  bool operator>(const ev& l) const { return sw > l.sw; }
 };
 
 struct voronoi_t {
@@ -132,7 +132,7 @@ struct voronoi_t {
 
 voronoi_t fortune(vector<pt> &ps) {
   voronoi_t ans; beach line;
-  priority_queue<event, vector<event>, greater<event>> e;
+  priority_queue<ev, vector<ev>, greater<ev>> e;
 
   auto add_edge = [&](int u, int v, int a, int b,
       arc* c1, arc* c2) {
@@ -145,8 +145,8 @@ voronoi_t fortune(vector<pt> &ps) {
     if (ix % 2 == 0) { ans.dy[ix/2].first = v; }
     else { ans.dy[ix/2].second = v; }
   };
-  auto add_event = [&](arc* cur) {
-    ld nxt; if (line.get(cur, nxt)) { e.emplace(nxt, cur); }
+  auto add_event = [&](arc* cur) { ld nxt;
+    if (line.get(cur, nxt)) { e.push({nxt, cur}); }
   };
 
   int n = ps.size(), cnt = 0;
@@ -176,7 +176,7 @@ voronoi_t fortune(vector<pt> &ps) {
     } else { e.emplace(psi[i].first.py, i); }
   }
   while (e.size()) {
-    event q = e.top(); e.pop();
+    ev q = e.top(); e.pop();
     arc *prv, *cur, *nxt, *si;
     int v = ans.v.size(), ix = q.ix;
     line.sw = q.sw;
diff --git a/generate.sh b/generate.sh
index 6f9a08a..c07ed33 100644
--- a/generate.sh
+++ b/generate.sh
@@ -1,11 +1,9 @@
 mkdir -p fontes-com-hash
 for arq in fontes/*; do
-    arq=$(basename $arq)
-    cat </dev/null >fontes-com-hash/$arq
-    n=1
-    while IFS="" read -r line || [ -n "$line" ]; do
-        hashed=$(bash fontes/hash.sh fontes/$arq 1 $n)
-        echo "$hashed <@\$`printf %02d $n`\$@> $line" >>fontes-com-hash/$arq
-        n=$((n+1))
-    done <fontes/$arq
+    echo $(basename $arq)
+    if [ ! -z "$(tail -c 1 <"$arq")" ]; then
+        echo "WARNING: $arq does not end with a newline"
+    fi
+    grep --color '.\{59\}' $arq
+    bash fontes/hash.sh <$arq >fontes-com-hash/$(basename $arq)
 done
-- 
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