From 705cb983eadbe34976dbd2040f4dd4f0ef69e4e3 Mon Sep 17 00:00:00 2001 From: fmk17 <fmk17@inf.ufpr.br> Date: Sat, 1 Oct 2022 10:52:19 -0300 Subject: [PATCH] Atualiza parcialmente o caderno --- Makefile | 5 +- caderno.pdf | Bin 296035 -> 296335 bytes caderno/caderno.tex | 163 +++++++++++------- fontes/aho-cora-sick.cpp | 70 ++++++++ fontes/angular-sweep.cpp | 28 +-- fontes/articulations-and-bridges.cpp | 35 ++++ fontes/bashrc | 8 + fontes/binary-lifting.cpp | 54 ++++-- fontes/bit-ops.cpp | 6 +- fontes/catalan.cpp | 8 + fontes/chinese-remainder-theorem.cpp | 35 ++++ fontes/connected.cpp | 39 +++-- fontes/convex-hull.cpp | 3 +- fontes/custom-hash.cpp | 16 ++ fontes/dijkstra.cpp | 43 +++-- fontes/euler-totient.cpp | 11 ++ fontes/extended-gcd.cpp | 8 +- fontes/factorize.cpp | 11 ++ fontes/fenwick-tree.cpp | 8 +- fontes/gen.cpp | 19 ++ fontes/geometry.cpp | 73 +++++--- fontes/gnu.cpp | 7 - fontes/goldbach.cpp | 6 - fontes/heavy-light-decomposition.cpp | 26 +-- fontes/inclusion-exclusion.cpp | 18 ++ fontes/iterative-lazy-segment-tree.cpp | 1 - fontes/kd-tree.cpp | 78 +++++++++ fontes/kmp-automaton.cpp | 17 ++ fontes/kmp.cpp | 50 ++++-- fontes/kosaraju.cpp | 10 +- fontes/lazy-segment-tree.cpp | 87 +++++----- fontes/lis.cpp | 9 + fontes/lisnlgn.cpp | 15 ++ fontes/max-flow-ffek.cpp | 49 ++++++ .../maximum-bipartite-matching-hopcroft.cpp | 58 +++++++ fontes/maximum-bipartite-matching-kuhn.cpp | 31 ++++ fontes/mex.cpp | 8 + fontes/miller-rabin.cpp | 26 +++ fontes/min-cost-max-flow.cpp | 68 ++++++++ fontes/min-queue-2.cpp | 13 ++ fontes/min-queue-3.cpp | 19 ++ fontes/min-queue.cpp | 11 ++ fontes/min-stack.cpp | 9 + fontes/modular-multiplicative-inverse.cpp | 4 +- fontes/multiset.cpp | 7 + fontes/neighbors.cpp | 31 ++-- fontes/nge.cpp | 31 ++++ fontes/nk-first-digits.cpp | 5 + fontes/numbers.cpp | 8 + fontes/pascal-triangle.cpp | 10 ++ fontes/point-compression.cpp | 10 ++ fontes/prim.cpp | 2 +- fontes/rectangle-intersection.cpp | 7 + fontes/segment-tree.cpp | 6 +- fontes/sieve-of-eratosthenes.cpp | 61 ++++++- fontes/stable-matching.cpp | 37 ++++ fontes/std.cpp | 42 ----- fontes/stoer-wagner.cpp | 42 +++++ fontes/stress.sh | 13 ++ fontes/stupid-hash.cpp | 22 +++ fontes/suffix-array-sort.cpp | 18 ++ fontes/suffix-automaton.cpp | 51 ++++++ fontes/suffix-tree.cpp | 73 ++++++++ fontes/template.cpp | 21 +-- fontes/topological-sort.cpp | 4 +- fontes/vimrc | 2 +- testes/convex-hull.cpp | 24 +-- testes/fenwick-2d-tree.cpp | 21 +-- testes/fenwick-tree.cpp | 29 +--- testes/hld-ps.cpp | 47 ++--- testes/lazy-segment-tree.cpp | 110 ++++++------ 71 files changed, 1491 insertions(+), 506 deletions(-) create mode 100644 fontes/aho-cora-sick.cpp create mode 100644 fontes/articulations-and-bridges.cpp create mode 100644 fontes/catalan.cpp create mode 100644 fontes/chinese-remainder-theorem.cpp create mode 100644 fontes/custom-hash.cpp create mode 100644 fontes/euler-totient.cpp create mode 100644 fontes/factorize.cpp create mode 100644 fontes/gen.cpp delete mode 100644 fontes/gnu.cpp delete mode 100644 fontes/goldbach.cpp create mode 100644 fontes/inclusion-exclusion.cpp create mode 100644 fontes/kd-tree.cpp create mode 100644 fontes/kmp-automaton.cpp create mode 100644 fontes/lis.cpp create mode 100644 fontes/lisnlgn.cpp create mode 100644 fontes/max-flow-ffek.cpp create mode 100644 fontes/maximum-bipartite-matching-hopcroft.cpp create mode 100644 fontes/maximum-bipartite-matching-kuhn.cpp create mode 100644 fontes/mex.cpp create mode 100644 fontes/miller-rabin.cpp create mode 100644 fontes/min-cost-max-flow.cpp create mode 100644 fontes/min-queue-2.cpp create mode 100644 fontes/min-queue-3.cpp create mode 100644 fontes/min-queue.cpp create mode 100644 fontes/min-stack.cpp create mode 100644 fontes/multiset.cpp create mode 100644 fontes/nge.cpp create mode 100644 fontes/nk-first-digits.cpp create mode 100644 fontes/numbers.cpp create mode 100644 fontes/pascal-triangle.cpp create mode 100644 fontes/point-compression.cpp create mode 100644 fontes/rectangle-intersection.cpp create mode 100644 fontes/stable-matching.cpp delete mode 100644 fontes/std.cpp create mode 100644 fontes/stoer-wagner.cpp create mode 100644 fontes/stress.sh create mode 100644 fontes/stupid-hash.cpp create mode 100644 fontes/suffix-automaton.cpp create mode 100644 fontes/suffix-tree.cpp diff --git a/Makefile b/Makefile index 34d3c57..484610c 100644 --- a/Makefile +++ b/Makefile @@ -1,6 +1,9 @@ .PHONY: all test -all: testes/hld-ps.cpp testes/fenwick-tree.cpp testes/fenwick-2d-tree.cpp testes/lazy-segment-tree.cpp testes/convex-hull.cpp +all: testes/hld-ps.cpp testes/fenwick-tree.cpp testes/fenwick-2d-tree.cpp testes/lazy-segment-tree.cpp testes/convex-hull.cpp caderno.pdf + +caderno.pdf: fontes/*.cpp caderno/caderno.tex + latexmk caderno/caderno test: testes/hld-ps.cpp testes/fenwick-tree.cpp testes/fenwick-2d-tree.cpp testes/lazy-segment-tree.cpp testes/convex-hull.cpp g++ -O2 testes/hld-ps.cpp && ./a.out <testes/hld-ps.in | diff - testes/hld-ps.out 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a/caderno/caderno.tex +++ b/caderno/caderno.tex @@ -7,6 +7,7 @@ \usepackage{multicol} \usepackage[brazilian]{babel} \usepackage{lmodern} +\usepackage{amsmath} \inputencoding{utf8} \newcommand{\bigO}{\mathcal{O}} @@ -22,29 +23,7 @@ } \maketitle -\tableofcontents -\newpage -\addcontentsline{toc}{section}{Glossário de Variáveis} -\section*{Glossário de Variáveis} -\begin{description} - \item[\texttt{c}-] atual - \item[\texttt{max}-] máximo - \item[\texttt{i}, \texttt{j}, \texttt{k}] índices de laços, posições de vetor - \item[\texttt{u}, \texttt{v}] vértices de grafo - \item[\texttt{d}] delta, variação - \item[\texttt{v}] valor - \item[\texttt{a}, \texttt{b}] intervalo - \item[\texttt{ta}, \texttt{tb}] intervalo de iteração em árvore - \item[\texttt{N}, \texttt{M}] tamanho máximo - \item[\texttt{ix}, \texttt{ixs}] índice, vetor de índices - \item[\texttt{hd}, \texttt{hds}] cabeça de lista ligada - \item[\texttt{w}] peso - \item[\texttt{D}] tamanho máximo em digitos binários - \item[\texttt{d}] iteração em digito binário - \item[\texttt{ss}] iteração de submáscara - \item[\texttt{p}, \texttt{ps}] ponto, pontos -\end{description} - +%\tableofcontents \newpage \section{C++} @@ -56,24 +35,12 @@ \importsource[bash]{bashrc} .vimrc \importsource[vim]{vimrc} +stress.sh +\importsource[bash]{stress.sh} +gen.cpp +\importsource{gen.cpp} \end{multicols} -\subsection{GNU} -\begin{multicols}{2} -Adicione `ll` para long long. -\importsource{gnu.cpp} -\end{multicols} - -\subsection{Técnicas} -\begin{itemize} - \item Em problemas com múltiplas consultas, você pode usar uma variável - de tempo lógico para invalidar informações que não são mais atuais. - \item Para limpar uma matriz, \textbf{não realoque tudo novamente}. Use \texttt{std:fill} nas submatrizes. -\end{itemize} - -\subsection{Biblioteca Padrão} -\importsource{std.cpp} - \subsection{Comparações} \begin{multicols}{2} \begin{tabular}{l|r} @@ -94,18 +61,20 @@ Adicione `ll` para long long. \hline \end{tabular} - \begin{tabular}{r|l|r|c} + \begin{tabular}{crcccc} \hline - Tipo & Representações & Máximo & Dígitos \\ + Sinal & Tipo & Bits & Máximo & Dígitos \\ \hline - \texttt{char} & 1 byte, $2^{8}$ & 127 & 2 \\ - \texttt{uchar} & 1 byte, $2^{8}$ & 255 & 2 \\ - \texttt{short} & 2 byte, $2^{2*8}$, $2^{16}$ & 32\,767 & 4 \\ - \texttt{ushort} & 2 bytes, $2^{2*8}$, $2^{16}$ & 65\,535 & 4 \\ - \texttt{int} & 4 bytes, $2^{4*8}$, $2^{32}$ & $\approx 2 \cdot 10^{9}$ & 9\\ - \texttt{uint} & 4 bytes, $2^{4*8}$, $2^{32}$ & $\approx 4 \cdot 10^{9}$ & 9 \\ - \texttt{llong} & 8 bytes, $2^{8*8}$, $2^{64}$ & $\approx 9 \cdot 10^{18}$ & 18 \\ - \texttt{ullong} & 8 bytes, $2^{8*8}$, $2^{64}$ & $\approx 18 \cdot 10^{18}$ & 19 \\ + $+/-$ & \texttt{char} & 8 & 127 & 2 \\ + $+$ & \texttt{char} & 8 & 255 & 2 \\ + $+/-$ & \texttt{short} & 16 & 32\,767 & 4 \\ + $+$ & \texttt{short} & 16 & 65\,535 & 4 \\ + $+/-$ & \texttt{int}/\texttt{long} & 32 & $\approx 2 \cdot 10^{9}$ & 9\\ + $+$ & \texttt{int}/\texttt{long} & 32 & $\approx 4 \cdot 10^{9}$ & 9 \\ + $+/-$ & \texttt{long long} & 64 & $\approx 9 \cdot 10^{18}$ & 18 \\ + $+$ & \texttt{long long} & 64 & $\approx 18 \cdot 10^{18}$ & 19 \\ + $+/-$ & \texttt{\_\_int128} & 128 & $\approx 17 \cdot 10^{37}$ & 38 \\ + $+$ & \texttt{\_\_int128} & 128 & $\approx 3 \cdot 10^{38}$ & 38 \\ \hline \end{tabular} @@ -119,26 +88,73 @@ Adicione `ll` para long long. \end{tabular} \end{multicols} -Estimativa computacional: $10^8$ operações em três segundos. +Estimativa computacional: $10^8$ operações por segundo. \begin{center} - \begin{tabular}{l|l|l} + \begin{tabular}{lll} + \hline $n$ & Pior algoritmo que passa & Comentário \\ \hline $\leq [10..11]$ & $\bigO(n!)$, $\bigO(n^6)$ & ex. Enumerar permutações \\ $\leq [15..18]$ & $\bigO(2^n n^2)$ & ex. PD do Caixeiro-Viajante \\ $\leq [18..22]$ & $\bigO(2^n n)$ & ex. PD com técnica de máscara de bits \\ - $\leq 100$ & $\bigO(n^4)$ & ex. PD com 3 dimensões + laço $O(n)$, $_{n}C_{k=4}$ \\ + $\leq 100$ & $\bigO(n^4)$ & ex. PD com 3 dimensões + laço $\bigO(n)$, $_{n}C_{k=4}$ \\ $\leq 400$ & $\bigO(n^3)$ & ex. Floyd-Warshall \\ $\leq 2\cdot 10^3$ & $\bigO(n^2 \lg n)$ & ex. 2 laços aninhados + consulta em árvore \\ - $\leq 10^4$ & $\bigO(n^2)$ & ex. Bubble/Selection/Insertion Sort \\ + $\leq 5\cdot 10^4$ & $\bigO(n^2)$ & ex. Bubble/Selection/Insertion Sort \\ + $\leq 10^5$ & $\bigO(n \lg^2 n) = \bigO((\lg n)(\lg n))$ & ex. Construção de vetor de sufixos padrão \\ $\leq 10^6$ & $\bigO(n \lg n)$ & ex. Merge Sort, construir árvore de segmento \\ - $\leq 10^8$ & $\bigO(n)$, $\bigO(\lg n)$, $\bigO(1)$ & Maioria dos problemas tem $n \leq 10^9$ (gargalo de E/S) \\ + $\leq 10^7$ & $\bigO(n \lg \lg n)$ & ex. Crivo de Eratóstenes, função totiente \\ + $\leq 10^8$ & $\bigO(n)$, $\bigO(\lg n)$, $\bigO(1)$ & ex. Solução matemática. Maioria dos problemas tem $n \leq 10^9$ (gargalo de E/S) \\ + \hline \end{tabular} \end{center} \newpage +\section{Matemática} +\begin{multicols}{2} +\begin{align*} + a_n = a_k + r(n - k) + a_n = a_k q^{(n-k)} +\end{align*} +\begin{itemize} + \item $r$, $q$: Razão + \item $k$: Termo conhecido + \item $n$: Termo que se quer obter +\end{itemize} +\begin{align*} + S_n = \frac{n(a_1 + a_n)}{2} \\ + S_n = \frac{a_1(q^n - 1)}{q-1} +\end{align*} +\begin{align*} + \binom{n}{k} &= \binom{n-1}{k-1} + \binom{n-1}{k}, \forall n \ge 0 \wedge 0 \le k \le n \\ + \binom{n}{k} &= \frac{n!}{k!(n-k)!} +\end{align*} +\end{multicols} + +\section{Algoritmos} +\begin{multicols}{2} + \importsource{merge-sort.cpp} +\end{multicols} + \section{Estrutura de Dados} +\subsection{Pilha/Fila mínima} +\begin{multicols}{2} + \importsource{min-stack.cpp} + \importsource{min-queue.cpp} + \importsource{min-queue-2.cpp} + \importsource{min-queue-3.cpp} + \importsource{custom-hash.cpp} +\end{multicols} + +\subsection{LIS} +\begin{multicols}{2} +\importsource{lis.cpp} +\importsource{lisnlgn.cpp} +\end{multicols} + +\subsection{DP on broken profile} + \subsection{Árvore de Fenwick} \begin{multicols}{2} \importsource{fenwick-tree.cpp} @@ -173,6 +189,12 @@ Estimativa computacional: $10^8$ operações em três segundos. \subsubsection{Conectado} \importsource{connected.cpp} +\subsubsection{Componentes Fortemente Conectados -- Tarjan} +\importsource{tarjan.cpp} + +\subsubsection{Componentes Fortemente Conectados -- Kosaraju} +\importsource{kosaraju.cpp} + \subsection{Caminhos} \subsubsection{Caminho Mínimo com Pesos Não-Negativos -- Dijkstra} \importsource{dijkstra.cpp} @@ -184,6 +206,7 @@ Estimativa computacional: $10^8$ operações em três segundos. \importsource{floyd-warshall.cpp} \subsubsection{Ordenação Topológica -- Topological Sorting} +\importsource{topological-sort.cpp} \subsection{Árvores, LCA, Decomposições} @@ -217,18 +240,34 @@ Estimativa computacional: $10^8$ operações em três segundos. \importsource{convex-hull.cpp} \end{multicols} -\section{Primos} +\subsection{Sweep angular} +\importsource{angular-sweep.cpp} -\subsection{Crivo} -\importsource{crivo.cpp} +\section{Matemática} -\subsection{Goldbach} -\importsource{goldbach.cpp} +\subsection{Crivo de Eratóstenes} +\importsource{sieve-of-eratosthenes.cpp} -\section{Máscaras de Bit e Operações em Bit} -Se o bit \texttt{i} está ativo: \texttt{(mask \& (1 << i)) > 0} +\subsection{Exponenciação rápida} +\importsource{fast-pow.cpp} + +\subsection{Exponenciação de matrizes} +\importsource{matrix-mult.cpp} -Submáscaras de máscara. +\subsection{Algoritmo de euclides estendido} +\importsource{extended-gcd.cpp} + +\section{Máscaras de Bit e Operações em Bit} \importsource{bit-ops.cpp} +\section{Strings} + +\subsection{KMP} +\importsource{kmp.cpp} + +\section{Outros} + +\subsection{Busca binária} +\importsource{binary-search.cpp} + \end{document} diff --git a/fontes/aho-cora-sick.cpp b/fontes/aho-cora-sick.cpp new file mode 100644 index 0000000..3a74c2a --- /dev/null +++ b/fontes/aho-cora-sick.cpp @@ -0,0 +1,70 @@ +struct node { + int p = 0, pc = 0; + int oix = -1, lnk = -1, out = -1; + bool leaf = false; + vector<int> nxt = vector<int>(256, -1); + vector<int> go = vector<int>(256, -1); + vector<int> ix; + int occ; +}; + +vector<node> aca = { node() }; +vector<vector<int>> occ (100000+15); + +void insert(string needle, int ix) { + int u = 0; + for (int i = 0; i < needle.size(); i++) { + int ch = to_i(needle[i]); + if (aca[u].nxt[ch] == -1) { + aca[u].nxt[ch] = aca.size(); + node n; n.p = u; n.pc = ch; n.oix = i; + aca.push_back(n); + } + u = aca[u].nxt[ch]; + } + aca[u].leaf = true; + aca[u].ix.push_back(ix); +} + +int go(int u, int c); + +int link(int u) { + if (aca[u].lnk != -1) { return aca[u].lnk; } + if (u == 0 || aca[u].p == 0) { return aca[u].lnk = 0; } + return aca[u].lnk = go(link(aca[u].p), aca[u].pc); +} + +int go(int u, int c) { + if (aca[u].go[c] != -1) { return aca[u].go[c]; } + if (aca[u].nxt[c] != -1) { return aca[u].go[c] = aca[u].nxt[c]; } + if (u == 0) { return aca[u].go[c] = 0; } + return aca[u].go[c] = go(link(u), c); +} + +int out(int u) { + if (aca[u].out != -1) { return aca[u].out; } + int v = link(u); + if (v == 0 || aca[v].leaf) { return aca[u].out = v; } + return aca[u].out = out(v); +} + +void process(string haystack) { + int u = 0; + for (int i = 0; i < haystack.size(); i++) { + int ch = to_i(haystack[i]); + u = go(u, ch); + for (int v = u; v != 0; v = out(v)) { + for (auto ix : aca[v].ix) { + // match at (i - aca[v].oix), O(len + ans) + occ[ix].push_back(i - aca[v].oix); + } + aca[v].occ++; + } + } + for (int u = 0; u < aca.size(); u++) { + for (auto ix : aca[v].ix) { + // number of matches, O(len) + occ[ix] += aca[u].occ; + } + } +} diff --git a/fontes/angular-sweep.cpp b/fontes/angular-sweep.cpp index 196c117..2c00d46 100644 --- a/fontes/angular-sweep.cpp +++ b/fontes/angular-sweep.cpp @@ -1,20 +1,20 @@ int get_points_inside (int i, double radius, int N) { - vector<db> angles; + vector<db> angles; - for (int j = 0; j < N; j++) if (i != j && distances[i][j] <= 2*radius) { - double A = atan2(points[j].yy - points[i].yy, points[j].xx - points[i].xx); - double B = acos(distances[i][j]/(2*radius)); - angles.push_back(dbi(A - B, j)); - angles.push_back(dbi(A + B, j)); - } + for (int j = 0; j < N; j++) if (i != j && distances[i][j] <= 2*radius) { + double A = atan2(points[j].yy - points[i].yy, points[j].xx - points[i].xx); + double B = acos(distances[i][j]/(2*radius)); + angles.push_back(dbi(A - B, j)); + angles.push_back(dbi(A + B, j)); + } - sort(angles.begin(), angles.end()); + sort(angles.begin(), angles.end()); - int count = 1, res = 1; - for (auto angle : angles) { - count += angle.second ? 1 : -1; - res = max(res, count); - } + int count = 1, res = 1; + for (auto angle : angles) { + count += angle.second ? 1 : -1; + res = max(res, count); + } - return res; + return res; } diff --git a/fontes/articulations-and-bridges.cpp b/fontes/articulations-and-bridges.cpp new file mode 100644 index 0000000..69b9a78 --- /dev/null +++ b/fontes/articulations-and-bridges.cpp @@ -0,0 +1,35 @@ +vector<bool> visited (N, false); +vector<int> parent (N, -1); +vector<int> low (N); +vector<int> tin (N); +vector<ii> brid; +set<int> arti; + +void dfs(int u) { + int children = 0; + visited[u] = true; + + for (int v : graph[u]) if (!visited[v]) { + children++; + parent[v] = u; + + low[v] = tin[v] = tin[u] + 1; + dfs(v); + low[u] = min(low[u], low[v]); + + if ((parent[u] == -1 && children > 1) || + (parent[u] != -1 && low[v] >= tin[u])) + arti.insert(u); + + if (low[v] > tin[u]) + brid.push_back(ii(u, v)); + + } else if (parent[u] != v) { + low[u] = min(low[u], tin[v]); + } +} + +for (int u = 0; u < n; u++) if (!visited[u]) { + tin[u] = 0; + dfs(u); +} diff --git a/fontes/bashrc b/fontes/bashrc index 51be8b3..444c348 100644 --- a/fontes/bashrc +++ b/fontes/bashrc @@ -1 +1,9 @@ xmodmap -e 'clear lock' -e 'keycode 66=Escape' +alias e=vim +function bc { + boca-submit-run user password $1 C++17 $1.cpp +} +alias bs='boca-submit-run user password' +function c { + g++ -static -O2 -lm $1 && ./a.out +} diff --git a/fontes/binary-lifting.cpp b/fontes/binary-lifting.cpp index 3dfd838..7b2579b 100644 --- a/fontes/binary-lifting.cpp +++ b/fontes/binary-lifting.cpp @@ -1,24 +1,34 @@ -const int D = log2(N); +const int L = log2(N); vector<int> depth (N, 0); vector<int> wsum (N); -vector<vector<int>> weight (N, vector<int>(D+1)); -vector<vector<int>> up (N, vector<int>(D+1)); +vector<vector<int>> weight (N, vector<int>(L+1)); +vector<vector<int>> up (N, vector<int>(L+1)); -// call (u, u, 0), set depth[u] = 0 void bl_euler_tour (int u, int p, int w) { up[u][0] = p; weight[u][0] = w; wsum[u] = wsum[p] + w; depth[u] = depth[p] + 1; - for (int d = 0; d < D; d++) { - int a = up[u][d]; - up[u][d+1] = up[a][d]; - weight[u][d+1] = max(weight[u][d], weight[a][d]); - } for (auto e : graph[u]) if (e.vv != p) bl_euler_tour(e.vv, u, e.ww); } +void bl_init (int u) { + depth[u] = 0; + bl_euler_tour(u, u, 0); + + // can be put into bl_euler_tour + // but will not work with cycles then + // (but could be useful for online) + for (int l = 0; l < L; l++) { + for (int u = 0; u < n; u++) { + int a = up[u][l]; + up[u][l+1] = up[a][l]; + weight[u][l+1] = max(weight[u][l], weight[a][l]); + } + } +} + // also bl_lca, just return lca and exclude res int bl_query_path (int a, int b) { // if b is deeper than a, swap @@ -27,23 +37,35 @@ int bl_query_path (int a, int b) { int res = 0; int diff = depth[a] - depth[b]; - for (int d = D; d >= 0; d--) if (diff & (1 << d)) { - res = max(res, weight[a][d]); - a = up[a][d]; + for (int l = L; l >= 0; d--) if (diff & (1 << l)) { + res = max(res, weight[a][l]); + a = up[a][l]; } if (a == b) { /* lca == a */ return res; } - for (int d = D; d >= 0; d--) - if (up[a][d] != up[b][d]) { - res = max({ res, weight[a][d], weight[b][d] }); - a = up[a][d], b = up[b][d]; + for (int l = L; l >= 0; d--) + if (up[a][l] != up[b][l]) { + res = max({ res, weight[a][l], weight[b][l] }); + a = up[a][l], b = up[b][l]; } // lca == up[a][0] return max({ res, weight[a][0], weight[b][0] }); } +int bl_get_one_down (int a, int b) { + // if b is deeper than a, swap + if (depth[b] > depth[a]) { swap(a, b); } + + int diff = max(depth[a] - depth[b] - 1, 0); + for (int l = L; l >= 0; d--) if (diff & (1 << l)) { + a = up[a][l]; + } + + return a; +} + int bl_query_sum (int a, int b) { int lca = bl_lca(a, b); return (wsum[a] - wsum[lca]) + (wsum[b] - wsum[lca]); diff --git a/fontes/bit-ops.cpp b/fontes/bit-ops.cpp index 44d7d2b..6b58943 100644 --- a/fontes/bit-ops.cpp +++ b/fontes/bit-ops.cpp @@ -1,3 +1,3 @@ -for (int ss = mask; ss > 0; ss = (ss - 1)&mask) { - minCost[i][mask] = min(minCost[i][mask], minCost[i][ss] + minCost[i][mask-ss]); -} +for (int s = 0; s < (1LL<<n); s++) +for (int ss = s; ss > 0; ss = (ss-1)&s) + minCost[i][s] = min(minCost[i][s], minCost[i][ss] + minCost[i][s-ss]); diff --git a/fontes/catalan.cpp b/fontes/catalan.cpp new file mode 100644 index 0000000..f3248dd --- /dev/null +++ b/fontes/catalan.cpp @@ -0,0 +1,8 @@ +ll catalan(int n) { + if (n == 0) { return 1; } + ll a = (2*(2*(n-1)+1)) % P; + ll b = n+1; + ll b_inv = (ext_gcd(b, P).x + P) % P; + ll res = (((a*b_inv) % P) * catalan(n-1)) % P; + return res; +} diff --git a/fontes/chinese-remainder-theorem.cpp b/fontes/chinese-remainder-theorem.cpp new file mode 100644 index 0000000..f187f3e --- /dev/null +++ b/fontes/chinese-remainder-theorem.cpp @@ -0,0 +1,35 @@ +// O(t lg lcm(m1, m2, ... m_t)) +// Infinitely many solutions can be found by +/- lcm(m1, m2, ..) x + +ll norm(ll a, ll b) { + a %= b; + return (a < 0) ? a + b : a; +} + +pair<ll,ll> crt_single(ll a, ll n, ll b, ll m) { + gans e = ext_gcd(n, m); + + if ((a - b) % e.d != 0) + return {-1,-1}; // No solution + + ll lcm = (m/e.d) * n; + ll ans = norm(a + e.x*(b-a) / e.d % (m/e.d)*n, lcm); + return {norm(ans, lcm), lcm}; +} + +ll crt(vector<ll> a, vector<ll> m) { + ll ans = a[0]; + ll lcm = m[0]; + + int t = a.size(); + for (int i = 1; i < t; ++i) { + auto ss = crt_single(ans, lcm, a[i], m[i]); + if (ss.first == -1) + return -1; // No solution + + ans = ss.first; + lcm = ss.second; + } + + return ans; +} diff --git a/fontes/connected.cpp b/fontes/connected.cpp index c00d098..6991381 100644 --- a/fontes/connected.cpp +++ b/fontes/connected.cpp @@ -1,27 +1,28 @@ bool check_graph_connected_dfs() { - int start_vertex = 0; - visited = vector<int>(n_vertices, false); - dfs(start_vertex); - return (find(all(visited), 0) == visited.end()); + int start_vertex = 0; + visited = vector<int>(n_vertices, false); + dfs(start_vertex); + return (find(all(visited), 0) == visited.end()); } + bool check_graph_connected_bfs() { - int start_vertex = 0; - vector<int> visited(n_vertices, false); - queue<int> Q; - Q.push(start_vertex); - visited[start_vertex] = true; + int start_vertex = 0; + vector<int> visited(n_vertices, false); + queue<int> Q; + Q.push(start_vertex); + visited[start_vertex] = true; - while (!Q.empty()) { - int i = Q.front(); - Q.pop(); + while (!Q.empty()) { + int i = Q.front(); + Q.pop(); - for (auto node : graph[i]) { - if (!visited[node]) { - visited[node] = true; - Q.push(node); - } - } + for (auto node : graph[i]) { + if (!visited[node]) { + visited[node] = true; + Q.push(node); + } } + } - return find(all(visited), 0) == visited.end(); + return find(all(visited), 0) == visited.end(); } diff --git a/fontes/convex-hull.cpp b/fontes/convex-hull.cpp index a085409..d455b8a 100644 --- a/fontes/convex-hull.cpp +++ b/fontes/convex-hull.cpp @@ -1,9 +1,10 @@ int sgn (double v) { return (v > 0) - (v < 0); } // -1 (cw), 0 (colinear), +1 (ccw) int seg_ornt (pt a, pt b, pt c) { - return sgn((conj(b - a) * (c - a)).py); + return sgn(cross(vec(a, b), vec(a, c))); } +// doesn't include collinear points (<= -> < to include) vpt convex_hull /* O(n lg n) */ (vpt& ps) { int k = 0, n = ps.size(); vpt result (n * 2); diff --git a/fontes/custom-hash.cpp b/fontes/custom-hash.cpp new file mode 100644 index 0000000..e80c99a --- /dev/null +++ b/fontes/custom-hash.cpp @@ -0,0 +1,16 @@ +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 { + static const uint64_t FIXED_RANDOM = + chrono::steady_clock::now() + .time_since_epoch().count(); + return splitmix64(x + FIXED_RANDOM); + } +}; diff --git a/fontes/dijkstra.cpp b/fontes/dijkstra.cpp index 25f1486..bc00710 100644 --- a/fontes/dijkstra.cpp +++ b/fontes/dijkstra.cpp @@ -1,26 +1,37 @@ vvii graph (N); vi dist (N); +vector<bool> visited (N); -int dijkstra (int source, int destination, int N) { - fill(dist.begin(), dist.begin() + N, oo); - priority_queue<ii, vii, greater<ii>> Q; +int dijkstra (int source, int destination, int n) { + fill(dist.begin(), dist.begin() + n, oo); + fill(visited.begin(), visited.begin() + n, false); + priority_queue<ii, vii, greater<ii>> Q; - dist[source] = 0; - Q.push(ii(0, source)); + dist[source] = 0; + Q.push({0, source}); - while (!Q.empty()) { - int u = Q.top().uu; Q.pop(); + while (!Q.empty()) { + int u = Q.top().uu; Q.pop(); + if (visited[u]) { continue; } + visited[u] = true; - if (u == destination) break; + for (auto e : invgraph[u]) { + int v = e.vv, w = e.ww; + if (dist[u] == dist[v] + w) { + dag[v].push_back(u); + } + } + + if (u == destination) { break; } - for (auto e : graph[u]) { - int v = e.vv, w = e.ww; - if (dist[v] > dist[u] + w) { - dist[v] = dist[u] + w; - Q.push(ii(dist[v], v)); - } - } + for (auto e : graph[u]) { + int v = e.vv, w = e.ww; + if (dist[v] > dist[u] + w) { + dist[v] = dist[u] + w; + Q.push({dist[v], v}); + } } + } - return dist[destination]; + return dist[destination]; } diff --git a/fontes/euler-totient.cpp b/fontes/euler-totient.cpp new file mode 100644 index 0000000..0563c7a --- /dev/null +++ b/fontes/euler-totient.cpp @@ -0,0 +1,11 @@ +vector<ll> phi (N); + +// O(n lg lg n) +void totient(int 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) { + phi[j] -= phi[j] / i; + } + } +} diff --git a/fontes/extended-gcd.cpp b/fontes/extended-gcd.cpp index 33c5325..3da06f5 100644 --- a/fontes/extended-gcd.cpp +++ b/fontes/extended-gcd.cpp @@ -2,11 +2,11 @@ // ax = gcd(a, b) (mod b) // (gcd(a, b) = 1) => (ax = 1 (mod b)) // -// Time: O(lg min(a, b) +// Time: O(lg min(a, b)) // Space: O(1) struct gans { ll x, y, d; }; gans ext_gcd(ll a, ll b) { - if (a == 0) return { 0, 1, b }; - gans e = ext_gcd(b % a, a); - return { e.y - (b/a)*e.x, e.x, e.d }; + if (a == 0) return { 0, 1, b }; + gans e = ext_gcd(b % a, a); + return { e.y - (b/a)*e.x, e.x, e.d }; } diff --git a/fontes/factorize.cpp b/fontes/factorize.cpp new file mode 100644 index 0000000..b76865e --- /dev/null +++ b/fontes/factorize.cpp @@ -0,0 +1,11 @@ +void factorize(ll n) { + for (ll i = 2; i*i <= n; i++) { + while (n % i == 0) { + // process divisor + n /= i; + } + } + if (n > 1) { + // process n + } +} diff --git a/fontes/fenwick-tree.cpp b/fontes/fenwick-tree.cpp index 7e90604..58bbe39 100644 --- a/fontes/fenwick-tree.cpp +++ b/fontes/fenwick-tree.cpp @@ -14,12 +14,12 @@ int query /* O(lg n) */ (int i) { } // 1: add + range_sum, query is query_upto -int range_query /* O(lg n) */ (int i, int j) { +int query_inclusive /* O(lg n) */ (int i, int j) { return query(j) - query(i - 1); } // 2: range_add + query, query is query -void range_add (int a, int b, int d) { - add(a, d); - add(b + 1, -d); +void add_inclusive (int a, int b, int d) { + add(a, d); + add(b + 1, -d); } diff --git a/fontes/gen.cpp b/fontes/gen.cpp new file mode 100644 index 0000000..9d9c432 --- /dev/null +++ b/fontes/gen.cpp @@ -0,0 +1,19 @@ +#include <bits/stdc++.h> +using namespace std; using ll = long long; + +mt19937 rnd; + +ll gen(ll a, ll b) { + uniform_int_distribution<ll> dist (a, b); + return dist(rnd); +} + +int main(int argc, char* argv[]) { + cin.tie(0); ios_base::sync_with_stdio(0); + if (argc < 2) { + cerr << "usage: " << argv[0] << " <seed>\n"; + return 1; + } + rnd = mt19937(atoi(argv[1])); + cout << gen(1, 10) << "\n"; +} diff --git a/fontes/geometry.cpp b/fontes/geometry.cpp index 187ec50..32f0a74 100644 --- a/fontes/geometry.cpp +++ b/fontes/geometry.cpp @@ -3,7 +3,7 @@ #define px real() #define py imag() -typedef complex<double> point; +typedef complex<double> pt; typedef pair<pt, pt> seg; double dot(pt a, pt b) { return (conj(a) * b).px; } @@ -11,25 +11,13 @@ double cross(pt a, pt b) { return (conj(a) * b).py; } pt vec(pt a, pt b) { return b - a; } pt vec(seg s) { return s.bb - s.aa; } -// faster -bool on_segment(seg s, point p) { +bool on_segment(seg s, pt p) { return cross(s.aa - p, s.bb - p) == 0 && dot(s.aa - p, s.bb - p) <= 0; } -// slower -bool on_segment(seg s, point p) { - return ( - p.px <= max(s.aa.px, s.bb.px) && - p.px >= min(s.aa.px, s.bb.px) && - p.py <= max(s.aa.py, s.bb.py) && - p.py >= min(s.aa.py, s.bb.py)); -} - -int sgn (int v) { - return (v > 0) - (v < 0); -} +int sgn(double v) { return (v > EPS) - (v < EPS); } -int ord_ornt (seg s, point c) { +int ord_ornt (seg s, pt c) { return sgn(cross(vec(s), vec(s.bb, c))); } @@ -45,18 +33,49 @@ bool intersect_seg(seg s, seg t) { (o4 == 0 && on_segment(t, s.bb))); } -double distance_seg_point(point p, seg s) { - if (s.aa == s.bb) { return abs(p - s.aa); } - double nsq = norm(vec(s)); - double l = min(nsq, max(0.0, dot(vec(s), vec(s.aa, p)))); - return abs(nsq*vec(s.aa, p) - l*vec(s)) / nsq; +// precondition is that they aren't collinear +pt point_in_line_line(seg a, seg b) { + return a.aa + vec(a) * (cross(vec(a.aa, b.aa), vec(b)) / cross(vec(a), vec(b))); +} + +pt point_in_seg(pt p, seg s) { + if (s.aa == s.bb) { return s.aa; } + double l = dot(vec(s.aa, p), vec(s)) / norm(vec(s)); + if (l < 0.0) { return s.aa; } + if (l > 1.0) { return s.bb; } + return s.aa + l*vec(s); +} + +double distance_seg_point(pt p, seg s) { + return abs(p - point_in_seg(p, s)); } double distance_seg_seg(seg s, seg t) { - if (intersect_seg(s, t)) { return 0; } - double v1 = distance_seg_point(s.aa, t); - double v2 = distance_seg_point(s.bb, t); - double v3 = distance_seg_point(t.aa, s); - double v4 = distance_seg_point(t.bb, s); - return min({ v1, v2, v3, v4 }); + if (intersect_seg(s, t)) { return 0; } + double v1 = distance_seg_point(s.aa, t); + double v2 = distance_seg_point(s.bb, t); + double v3 = distance_seg_point(t.aa, s); + double v4 = distance_seg_point(t.bb, s); + return min({ v1, v2, v3, v4 }); +} + +bool is_inside_poly(vector<pt>& ps, pt p) { + int n = ps.size(); + if (n < 3) { return false; } + int count = 0; + for (int i = 0; i < n; i++) { + int j = (i+1)%n; + if (on_segment(seg(ps[i], ps[j]), p)) { return strict; } + count ^= ((p.py < ps[i].py) - (p.py < ps[j].py)) + * ord_ornt(seg(ps[i], ps[j]), p) > 0; + } + return count; +} + +double polygon_area(vector<pt>& ps) { + double area = cross(ps[ps.size()-1], ps[0]); + for (int i = 1; i < ps.size(); i++) { + area += cross(ps[i-1], ps[i]); + } + return area / 2.0; } diff --git a/fontes/gnu.cpp b/fontes/gnu.cpp deleted file mode 100644 index 0052c43..0000000 --- a/fontes/gnu.cpp +++ /dev/null @@ -1,7 +0,0 @@ -// Add ll at the end for long long -__builtin_ffs // 1 + position of 1 LSB -__builtin_ctz // count trailing zeros -__builtin_clz // count zeros in front -__builtin_popcount // count how many bits are set -// Position of 1 MSB -i != 0 ? sizeof(int)*8 - __builtin_clz(i) : 0 diff --git a/fontes/goldbach.cpp b/fontes/goldbach.cpp deleted file mode 100644 index a063045..0000000 --- a/fontes/goldbach.cpp +++ /dev/null @@ -1,6 +0,0 @@ -int FindSol(int n) { - int i,res=0; - for(i=2;i<=n/2;i++) - if (primes[i] && primes[n-i]) res++; - return res; -} diff --git a/fontes/heavy-light-decomposition.cpp b/fontes/heavy-light-decomposition.cpp index 64e9265..a3a2fd2 100644 --- a/fontes/heavy-light-decomposition.cpp +++ b/fontes/heavy-light-decomposition.cpp @@ -1,12 +1,13 @@ -vi heavy(N, -1), parents(N, -1); -vi heights(N); +vi heavy(N, -1), anc(N, -1); +vi depth(N); -int hld_fill /* O(V + E) */ (int u) { +int hld_fill /* O(V + E) */ (int u, int c) { int w = 1, maxw = 0; + cost[u] = c; for (auto v : graph[u]) { - if (v != parents[u]) { - parents[v] = u; - heights[v] = heights[u] + 1; + if (v != anc[u]) { + anc[v] = u; + depth[v] = depth[u] + 1; int cw = hld_fill(v); w += cw; if (cw > maxw) { @@ -24,26 +25,27 @@ int cix = 1; void hld /* O(n lg n) */ (int u, int h = 1) { hds[u] = h; + origin[cix] = cost[u]; ixs[u] = cix++; if (heavy[u] != -1) hld(heavy[u], h); // continue chain for (auto v : graph[u]) { - if (v != parents[u] && v != heavy[u]) + if (v != anc[u] && v != heavy[u]) hld(v, v); // new chain } } ll hld_sum /* O(lg^2 n) */ (int u, int v) { ll answer = 0; - for (; hds[u] != hds[v]; v = parents[hds[v]]) { - if (heights[hds[u]] > heights[hds[v]]) swap(u, v); - ll path_sum = query(ixs[hds[v]], ixs[v]); + for (; hds[u] != hds[v]; v = anc[hds[v]]) { + if (depth[hds[u]] > depth[hds[v]]) swap(u, v); + ll path_sum = query_inclusive(ixs[hds[v]], ixs[v]); answer += path_sum; } - if (heights[u] > heights[v]) swap(u, v); + if (depth[u] > depth[v]) swap(u, v); // Remove +1 if values are associated with vertices - return answer + query(ixs[u] + 1, ixs[v]); + return answer + query_inclusive(ixs[u] + 1, ixs[v]); } diff --git a/fontes/inclusion-exclusion.cpp b/fontes/inclusion-exclusion.cpp new file mode 100644 index 0000000..8bc6d03 --- /dev/null +++ b/fontes/inclusion-exclusion.cpp @@ -0,0 +1,18 @@ +ll inclusion_exclusion(int n, int m, ll a, ll d) { + vector<ll> exc { a, a+d, a+2*d, a+3*d, a+4*d }; + + ll total = 0; + for (int b = 1; b < (1<<5); b++) { + ll x = 1; + for (int i = 0; i < 5; i++) if (b & (1<<i)) { + if (x > ceil_div(m, exc[i]) * gcd(x, exc[i])) { + x = b+1; break; + } + x = lcm(x, exc[i]); + } + ll s = (__builtin_popcount(b) % 2) ? +1 : -1; + total += s * multiples_inclusive(n, m, x); + } + + cout << (m-n+1) - total << "\n"; +} diff --git a/fontes/iterative-lazy-segment-tree.cpp b/fontes/iterative-lazy-segment-tree.cpp index 5ea9d0f..a9cd9fe 100644 --- a/fontes/iterative-lazy-segment-tree.cpp +++ b/fontes/iterative-lazy-segment-tree.cpp @@ -1,4 +1,3 @@ -#include <stdbool.h> #define N 1<<17 #define LEFT 2*i #define RIGH 2*i+1 diff --git a/fontes/kd-tree.cpp b/fontes/kd-tree.cpp new file mode 100644 index 0000000..957d27b --- /dev/null +++ b/fontes/kd-tree.cpp @@ -0,0 +1,78 @@ +int get_ii(ii pair, int index) { + if (index == 0) { return pair.xx; } + else { return pair.yy; } +} + +class kdtree { + private: + struct node { + node(ii& p) : point(p), left(nullptr), right(nullptr) {} + double dist_sq(const ii& p) { + int dx = p.xx - point.xx; + int dy = p.yy - point.yy; + return dx*dx + dy*dy; + } + ii point; + node* left; + node* right; + }; + node* root = nullptr; + vector<double> best; + vector<node> nodes; + + struct node_cmp { + node_cmp(size_t _index) : index(_index) {} + bool operator()(const node& n1, const node& n2) { + return get_ii(n1.point, index) < get_ii(n2.point, index); + } + size_t index; + }; + + node* make_tree(size_t begin, size_t end, size_t index) { + if (end <= begin) + return nullptr; + size_t n = begin + (end - begin)/2; + nth_element(&nodes[begin], &nodes[n], &nodes[0] + end, node_cmp(index)); + index = (index + 1) % 2; + nodes[n].left = make_tree(begin, n, index); + nodes[n].right = make_tree(n + 1, end, index); + return &nodes[n]; + } + + void nearest_k(node* root, const ii& point, size_t index, int k) { + if (root == nullptr) + return; + double d = root->dist_sq(point); + if (best.size() < k || d < best[best.size()-1]) { + best.push_back(d); + sort(best.begin(), best.end()); + if (best.size() > k) { best.erase(best.begin() + k, best.end()); } + } + if (best.size() == 0) + return; + double dx = get_ii(root->point, index) - get_ii(point, index); + index = (index + 1) % 2; + nearest_k(dx > 0 ? root->left : root->right, point, index, k); + if (dx * dx >= best[best.size()-1]) + return; + nearest_k(dx > 0 ? root->right : root->left, point, index, k); + } + + public: + template<typename iterator> + kdtree(iterator begin, iterator end) : nodes(begin, end) { + root = make_tree(0, nodes.size(), 0); + } + + double nearest_k(const ii& pt, int k) { + if (root == nullptr) + throw logic_error("tree is empty"); + best.clear(); + nearest_k(root, pt, 0, k); + double acc = 0; + for (int i = 0; i < best.size(); i++) { + acc += sqrt(best[i]); + } + return acc; + } +}; diff --git a/fontes/kmp-automaton.cpp b/fontes/kmp-automaton.cpp new file mode 100644 index 0000000..c7c95d3 --- /dev/null +++ b/fontes/kmp-automaton.cpp @@ -0,0 +1,17 @@ +dp[i, c] = { + i+1, se i < |needle| && needle[i] == c + dp[pi(i), c], senão +} + +dp[i, c] = { + (i+1, 0), se i < |needle|-1 && needle[i] == c + (i+1, 1), se i == |needle| && needle[i] == c + (dp[pi(i), c], 0), senão +} + +Mesmo padrão: + +s_3 = s_1 + s_2 + +nxt_3[i] = nxt_2[nxt_1[i]] +occ_3[i] = occ_1[i] + occ_2[nxt_1[i]] diff --git a/fontes/kmp.cpp b/fontes/kmp.cpp index 5b51dfa..292b784 100644 --- a/fontes/kmp.cpp +++ b/fontes/kmp.cpp @@ -1,26 +1,40 @@ -vector<int> kmp_pre(string haystack, string needle) { - vector<int> backtrack(haystack.size()); - backtrack[0] = -1; +#include <bits/stdc++.h> +using namespace std; - int i = 0, j = -1; - while (i < needle.size()) { - while (j >= 0 && needle[i] != needle[j]) j = backtrack[j]; - i++; j++; - backtrack[i] = j; - } +// kmp_pre: O(m = |needle|) +vector<int> kmp_pre(string needle) { + vector<int> backtrack(needle.size()+1); + backtrack[0] = -1; + + int i = 0, j = -1; + while (i < needle.size()) { + while (j >= 0 && needle[i] != needle[j]) j = backtrack[j]; + i++; j++; + backtrack[i] = j; + } - return backtrack; + return backtrack; } +// kmp_search: O(n + m = |haystack| + |needle|) +// laço principal: O(n = |haystack|) void kmp_search(string haystack, string needle) { - vector<int> backtrack = kmp_pre(haystack, needle); + vector<int> backtrack = kmp_pre(needle); + + int i = 0, j = 0; + while (i < haystack.size()) { + while (j >= 0 && haystack[i] != needle[j]) j = backtrack[j]; + i++; j++; + if (j == needle.size()) { + // match at (i - j) + } + } +} - int i = 0, j = 0; - while (i < haystack.size()) { - while (j >= 0 && haystack[i] != needle[j]) j = backtrack[j]; - i++; j++; - if (j == needle.size()) { - // match at (i - j) - } +int main() { + vector<int> t = kmp_pre("aabccaabccaabcc"); + for (auto x : t) { + cout << x << " "; } + cout << "\n"; } diff --git a/fontes/kosaraju.cpp b/fontes/kosaraju.cpp index a618c7a..c23654f 100644 --- a/fontes/kosaraju.cpp +++ b/fontes/kosaraju.cpp @@ -1,8 +1,8 @@ int timestamp = 0; -vector<bool> visited(n); -vector<vector<int>> G (n); -vector<vector<int>> G_t (n); -vector<int> rep (1e5 + 1); +vector<int> visited (N); +vector<vector<int>> G (N); +vector<vector<int>> G_t (N); +vector<int> rep (N); stack<int> S; void fill_stack (int u) { @@ -32,7 +32,7 @@ vector<int> kosaraju (int n) { while (!S.empty()) { int u = S.top(); S.pop(); if (visited[u] != timestamp) { - mark_component(u); + mark_component(u, u); topo_components.push_back(u); } } diff --git a/fontes/lazy-segment-tree.cpp b/fontes/lazy-segment-tree.cpp index 6432e30..dc0fd49 100644 --- a/fontes/lazy-segment-tree.cpp +++ b/fontes/lazy-segment-tree.cpp @@ -1,6 +1,5 @@ #define LEFT 2*i #define RIGH 2*i+1 -#define MID (ta+tb)/2 struct node { int data = 0; @@ -16,55 +15,61 @@ struct node { }; }; +const int N = 1e5+15; +const int LOG = ceil(log2(N)); + struct dlta { int add = 0, set = -1; }; -vector<node> stree(4*N), origin(N); -vector<dlta> delta(4*N); +vector<ll> stree(2*N), origin(N); +vector<dlta> delta(2*N); -void push (int i, int ta, int tb) { - dlta &d = delta[i]; - dlta &l = delta[LEFT], &r = delta[RIGH]; - if (d.add != 0) { - stree[i] += FACTOR * d.add; - if (ta != tb) { l.add += d.add; r.add += d.add; } - d.add = 0; - } - if (d.set != -1) { - stree[i] = FACTOR * d.set; - if (ta != tb) { l = r = { 0, d.set }; } - d.set = -1; - } +ll apply(int i, dlta d, int sz) { + if (d.set != -1) { + stree[i] = d.set * sz; + delta[i] = { 0, d.set }; + } + if (d.add != 0) { + stree[i] += d.add * sz; + delta[i].add += d.add; + } + return stree[i]; } -node update (int i, char op, int d, int ta, int tb) { - if (op == '+') delta[i].add = d; - if (op == '=') delta[i].set = d; - push(i, ta, tb); - return stree[i]; +void pull(int p) { + for (int s = __builtin_ctz(p)+1; s < LOG; s++) { + int i = p >> s; + stree[i] = stree[LEFT] + stree[RIGH]; + } } -node recalc (int i) { - return stree[i] = OP(stree[LEFT], stree[RIGH]); +void push(int p) { + int sz = 1 << (LOG-1); + for (int s = LOG; s > 0; s--, sz /= 2) { + int i = p >> s; + apply(LEFT, delta[i], sz); + apply(RIGH, delta[i], sz); + delta[i] = {}; + } } -void build /* O(n lg n) */ ( - int i = 1, int ta = 0, int tb = N-1) { - if (ta == tb) { stree[i] = origin[ta]; return; } - build(LEFT, ta, MID); - build(RIGH, MID+1, tb); - recalc(i); +ll op_range(int l, int r, char op = '\0', ll x = 0) { + dlta d; + if (op == '+') { d.add = x; } + if (op == '=') { d.set = x; } + int tl = l += N, tr = r += N, sz = 1; + push(tl); push(tr); + ll ans = 0; + for (; l < r; l /= 2, r /= 2, sz *= 2) { + if (l & 1) ans += apply(l++, d, sz); + if (r & 1) ans += apply(--r, d, sz); + } + pull(tl); pull(tr); + return ans; } -node op_range /* O(lg n) */ (int a, int b, - char op = '\0', int d = 0, - int i = 1, int ta = 0, int tb = N-1) { - push(i, ta, tb); - if (!(a <= tb && ta <= b)) { return NEUTRAL; } - if (a <= ta && tb <= b) { - return update(i, op, d, ta, tb); - } - node r1 = op_range(a, b, op, d, LEFT, ta, MID); - node r2 = op_range(a, b, op, d, RIGH, MID+1, tb); - if (op) { recalc(i); } - return OP(r1, r2); +void build () { + for (int i = 0; i < N; i++) + stree[N+i] = origin[i]; + for (int i = N-1; i > 0; i--) + stree[i] = stree[LEFT] + stree[RIGH]; } diff --git a/fontes/lis.cpp b/fontes/lis.cpp new file mode 100644 index 0000000..fe37a36 --- /dev/null +++ b/fontes/lis.cpp @@ -0,0 +1,9 @@ +int n; while (cin >> n) { + fill(dp.begin(), dp.end(), 1); // base + for (int i = 0; i < n; i++) { + cin >> v[i]; + for (int j = 0; j < i; j++) if (v[j] < v[i]) + dp[i] = max(dp[i], 1 + dp[j]); + } + cout << *max_element(dp.begin(), dp.end()) << "\n"; +} diff --git a/fontes/lisnlgn.cpp b/fontes/lisnlgn.cpp new file mode 100644 index 0000000..f3dda8b --- /dev/null +++ b/fontes/lisnlgn.cpp @@ -0,0 +1,15 @@ +int n; while (cin >> n) { + fill(dp.begin(), dp.begin()+n+1, oo); + dp[0] = -oo; + for (int i = 0; i < n; i++) { + cin >> v[i]; + int j = upper_bound(dp.begin(), + dp.begin()+n+1, v[i]) - dp.begin(); + if (dp[j-1] < v[i] && v[i] < dp[j]) + dp[j] = v[i]; + } + for (int i = 0; i <= n; i++) if (dp[i] == oo) + dp[i] = -oo; + cout << max_element(dp.begin(), + dp.begin()+n+1) - dp.begin() << "\n"; +} diff --git a/fontes/max-flow-ffek.cpp b/fontes/max-flow-ffek.cpp new file mode 100644 index 0000000..a7ebd95 --- /dev/null +++ b/fontes/max-flow-ffek.cpp @@ -0,0 +1,49 @@ +// Minimum-cost, maximum flow, all costs 1 +// Ford-Fulkerson, Edmonds-Karp implementation +// Time: O(V^2 * E) + +vector<vector<int>> res (3e3+15); +vector<vector<int>> cap (3e3+15, vector<int>(3e3+15)); + +vector<int> parent(3e3+15); +vector<int> dist(3e3+15); + +bool bfs(int s, int t) { + fill(dist.begin(), dist.end(), oo); + dist[s] = 0; + + queue<int> Q; + Q.push(s); + + while (!Q.empty()) { + int u = Q.front(); Q.pop(); + if (u == t) { break; } + for (int v : res[u]) { + if (dist[v] != oo) { continue; } + if (cap[u][v] == 0) { continue; } + dist[v] = dist[u] + 1; + parent[v] = u; + Q.push(v); + } + } + + return dist[t] < oo; +} + +int ffek(int s, int t) { + int min_cost = 0; + int max_flow = 0; + while (bfs(s, t)) { + int flow = oo; + for (int u = t; u != s; u = parent[u]) { + flow = min(flow, cap[parent[u]][u]); + } + for (int u = t; u != s; u = parent[u]) { + cap[parent[u]][u] -= flow; + cap[u][parent[u]] += flow; + } + min_cost += flow * dist[t]; + max_flow += flow; + } + return max_flow; +} diff --git a/fontes/maximum-bipartite-matching-hopcroft.cpp b/fontes/maximum-bipartite-matching-hopcroft.cpp new file mode 100644 index 0000000..96e9cc1 --- /dev/null +++ b/fontes/maximum-bipartite-matching-hopcroft.cpp @@ -0,0 +1,58 @@ +// Maximum bipartite matching +// Hopcraft-Karp-Karzanov algorithm +// O(E*sqrt(V)) + +int L, R; +vector<vector<int>> graph (L); +vector<int> dist (L); +vector<int> matchL (L, -1), matchR (R, -1); + +bool bfs() { + queue<int> Q; + for (int l = 0; l < L; ++l) + if (matchL[l] == -1) { + dist[l] = 0; + Q.push(l); + } else + dist[l] = -1; + + bool ans = false; + while (!Q.empty()) { + int l = Q.front(); Q.pop(); + for (auto r : graph[l]) + if (matchR[r] == -1) + ans = true; + else if (dist[matchR[r]] == -1) { + dist[matchR[r]] = dist[l] + 1; + Q.push(matchR[r]); + } + } + + return ans; +} + +bool dfs(int l) { + if (l == -1) + return true; + + for (auto r : graph[l]) + if (matchR[r] == -1 || + dist[matchR[r]] == dist[l] + 1) + if (dfs(matchR[r])) { + matchR[r] = l; + matchL[l] = r; + return true; + } + + return false; +} + +int hopcroft() { + int ans = 0; + while (bfs()) + for (int l = 0; l < L; ++l) + if (matchL[l] == -1 && dfs(l)) + ans++; + + return ans; +} diff --git a/fontes/maximum-bipartite-matching-kuhn.cpp b/fontes/maximum-bipartite-matching-kuhn.cpp new file mode 100644 index 0000000..c870c53 --- /dev/null +++ b/fontes/maximum-bipartite-matching-kuhn.cpp @@ -0,0 +1,31 @@ +// Maximum bipartite matching +// Kuhn-Munkres or Hungarian algorithm +// O(V*E) + +// Bipartite, u and v are distinct enumerations +vector<vector<int>> graph (1e4+1); +vector<int> match (1e4+1, -1); +vector<bool> visited(1e4+1); + +int dfs(int u) { + if (visited[u]) { return 0; } + visited[u] = true; + + for (int v : graph[u]) { + if (match[v] == -1 || dfs(match[v])) { + match[v] = u; + return 1; + } + } + + return 0; +} + +int hungarian() { + int ans = 0; + for (int u = 0; u < n; u++) { + fill(visited.begin(), visited.end(), false); + ans += dfs(u); + } + return ans; +} diff --git a/fontes/mex.cpp b/fontes/mex.cpp new file mode 100644 index 0000000..37a5537 --- /dev/null +++ b/fontes/mex.cpp @@ -0,0 +1,8 @@ +int mex(set<int>& x) { + int m = 0; + for (auto &j : x) { + if (j > m) { return m; } + m++; + } + return m; +} diff --git a/fontes/miller-rabin.cpp b/fontes/miller-rabin.cpp new file mode 100644 index 0000000..72337f7 --- /dev/null +++ b/fontes/miller-rabin.cpp @@ -0,0 +1,26 @@ +using ll = long long; +using i128 = __int128_t; + +ll fast_pow(ll a, ll e, ll m) { + if (e == 0) { return 1; } + if (e == 1) { return a; } + ll res = fast_pow(a, e/2, m); + res = (i128)res * res % m; + if (e % 2) res = (i128)res * a % m; + return res; +} + +bool is_prime(ll n) { + if (n < 2) { return false; } + int s = __builtin_ctzll(n - 1); + ll d = n >> s; + for (int a : {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}) { + if (n == a) { return true; } + ll p = fast_pow(a, d, n), i = s; + while (p != 1 && p != n - 1 && a % n && i--) + p = (i128)p * p % n; + if (p != n - 1 && i != s) + return false; + } + return true; +} diff --git a/fontes/min-cost-max-flow.cpp b/fontes/min-cost-max-flow.cpp new file mode 100644 index 0000000..04f4304 --- /dev/null +++ b/fontes/min-cost-max-flow.cpp @@ -0,0 +1,68 @@ +// Minimum-cost, maximum flow, variable cost +// Ford-Fulkerson, Edmonds-Karp implementation +// Time: O(V^2 * E) + +struct edge { int u, v, cap, cost; }; +vector<edge> edges; +vector<vector<int>> res (3e3+15); + +vector<bool> queued(3e3+15); +vector<int> parent(3e3+15); +vector<int> ind(3e3+15); +vector<int> dist(3e3+15); + +void link(int u, int v, int cap, int cost) { + res[u].push_back(edges.size()); + edges.push_back({ u, v, cap, cost }); + res[v].push_back(edges.size()); + edges.push_back({ v, u, 0, -cost }); +} + +bool spfa(int s, int t) { + fill(dist.begin(), dist.end(), oo); + fill(queued.begin(), queued.end(), false); + dist[s] = 0; + + queue<int> Q; + Q.push(s); + + while (!Q.empty()) { + int u = Q.front(); Q.pop(); + if (u == t) { break; } + queued[u] = false; + + for (int i : res[u]) { + edge e = edges[i]; + int v = e.v; + if (e.cap && dist[v] > dist[u] + e.cost) { + dist[v] = dist[u] + e.cost; + parent[v] = u; + ind[v] = i; + if (!queued[v]) { + Q.push(v); + queued[v] = true; + } + } + } + } + + return dist[t] < oo; +} + +pair<int, int> ffek(int s, int t) { + int min_cost = 0; + int max_flow = 0; + while (spfa(s, t)) { + int flow = oo; + for (int u = t; u != s; u = parent[u]) { + flow = min(flow, edges[ind[u]].cap); + } + for (int u = t; u != s; u = parent[u]) { + edges[ind[u] ].cap -= flow; + edges[ind[u]^1].cap += flow; + } + min_cost += flow * dist[t]; + max_flow += flow; + } + return {min_cost, max_flow}; +} diff --git a/fontes/min-queue-2.cpp b/fontes/min-queue-2.cpp new file mode 100644 index 0000000..c39e23c --- /dev/null +++ b/fontes/min-queue-2.cpp @@ -0,0 +1,13 @@ +deque<pair<int, int>> q; +int add = 0, rem = 0; +int enqueue_el(int x) { + while (!q.empty() && q.back().first > x) + q.pop_back(); + q.push_back({ x, add++ }); +} +int dequeue_el() { + if (!q.empty() && q.front().second == rem) + q.pop_front(); + rem++; +} +int min_el() { return q.front().first; } diff --git a/fontes/min-queue-3.cpp b/fontes/min-queue-3.cpp new file mode 100644 index 0000000..ec94647 --- /dev/null +++ b/fontes/min-queue-3.cpp @@ -0,0 +1,19 @@ +stack<pair<int, int>> s1, s2; + +int enqueue_el(int x) { + int m = min(x, s1.size() ? s1.top().second : oo); + s1.push({ x, m }); +} +int dequeue_el() { + if (s2.empty()) while (!s1.empty()) { + int el = s1.top().first; s1.pop(); + int m = min(el, s2.size() ? s2.top().second : oo); + s2.push({ el, m }); + } + int r = s2.top().first; s2.pop(); return r; +} +int min_el() { + return min( + s1.size() ? s1.top().second : oo, + s2.size() ? s2.top().second : oo); +} diff --git a/fontes/min-queue.cpp b/fontes/min-queue.cpp new file mode 100644 index 0000000..ee57f1c --- /dev/null +++ b/fontes/min-queue.cpp @@ -0,0 +1,11 @@ +deque<int> q; +int enqueue_el(int x) { + while (!q.empty() && q.back() > x) + q.pop_back(); + q.push_back(x); +} +int dequeue_el(int x) { + if (!q.empty() && q.front() == x) + q.pop_front(); +} +int min_el() { return q.front(); } diff --git a/fontes/min-stack.cpp b/fontes/min-stack.cpp new file mode 100644 index 0000000..3dcae22 --- /dev/null +++ b/fontes/min-stack.cpp @@ -0,0 +1,9 @@ +stack<pair<int, int>> st; + +void push_el(int x) { + 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; } diff --git a/fontes/modular-multiplicative-inverse.cpp b/fontes/modular-multiplicative-inverse.cpp index ca62d38..fcfe8ad 100644 --- a/fontes/modular-multiplicative-inverse.cpp +++ b/fontes/modular-multiplicative-inverse.cpp @@ -1,4 +1,4 @@ -// faster, arbitray m, x^-1 (mod m) +// faster O(lg min(x, m)), arbitrary m (coprime), x^-1 (mod m) int eucl_inv = (ext_gcd(x, m).x % m + m) % m; -// slower, P is prime, x^-1 = x^(P-2) (mod P) +// slower O(lg P), P is prime, x^-1 = x^(P-2) (mod P) int fermat_inv = fast_pow(x, P - 2); diff --git a/fontes/multiset.cpp b/fontes/multiset.cpp new file mode 100644 index 0000000..7270cef --- /dev/null +++ b/fontes/multiset.cpp @@ -0,0 +1,7 @@ +map<int, int> freq; +for (int i = 0; i < n; i++) { + int x; cin >> x; freq[x]++; } +vector<pair<int, int>> bag; +for (auto f : freq) + bag.push_back(make_pair(f.second, f.first)); +sort(bag.rbegin(), bag.rend()); diff --git a/fontes/neighbors.cpp b/fontes/neighbors.cpp index 3034a0a..44eb476 100644 --- a/fontes/neighbors.cpp +++ b/fontes/neighbors.cpp @@ -1,21 +1,14 @@ -#include <bits/stdc++.h> -using namespace std; - -int main() { - cout << "4 neighbors\n"; - vector<int> dxy = { +1, 0, -1, 0, +1 }; - for (int k = 0; k < 4; k++) { - int i = dxy[k], j = dxy[k+1]; - cout << i << " " << j << "\n"; - } - - cout << "\n"; +// 4 neighbors +vector<int> dxy = { +1, 0, -1, 0, +1 }; +for (int k = 0; k < 4; k++) { + int di = dxy[k], dj = dxy[k+1]; + cout << di << " " << dj << "\n"; +} - cout << "8 neighbors\n"; - for (int i : { -1, 0, +1 }) { - for (int j : { -1, 0, +1 }) { - if (i == 0 && j == 0) { continue; } - cout << i << " " << j << "\n"; - } - } +// 8 neighbors +for (int di : { -1, 0, +1 }) { +for (int dj : { -1, 0, +1 }) { + if (di == 0 && dj == 0) { continue; } + cout << di << " " << dj << "\n"; +} } diff --git a/fontes/nge.cpp b/fontes/nge.cpp new file mode 100644 index 0000000..e4bac6a --- /dev/null +++ b/fontes/nge.cpp @@ -0,0 +1,31 @@ +stack<int> pge; +for (int i = n-1; i >= 0; i--) { + while (!pge.empty() && v[pge.top()] < v[i]) { + ans[pge.top()] = i; pge.pop(); + } + pge.push(i); +} + +stack<int> ple; +for (int i = n-1; i >= 0; i--) { + while (!ple.empty() && v[ple.top()] > v[i]) { + ans[ple.top()] = i; ple.pop(); + } + ple.push(i); +} + +stack<int> nge; +for (int i = 0; i < n; i++) { + while (!nge.empty() && v[nge.top()] < v[i]) { + ans[nge.top()] = i; nge.pop(); + } + nge.push(i); +} + +stack<int> nle; +for (int i = 0; i < n; i++) { + while (!nle.empty() && v[nle.top()] > v[i]) { + ans[nle.top()] = i; nle.pop(); + } + nle.push(i); +} diff --git a/fontes/nk-first-digits.cpp b/fontes/nk-first-digits.cpp new file mode 100644 index 0000000..7c36134 --- /dev/null +++ b/fontes/nk-first-digits.cpp @@ -0,0 +1,5 @@ +int first_d_digits(int n, int k, int d) { + double logged = k*log10(n); + logged -= int(logged) - (d-1); + return int(pow(10, logged)); +} diff --git a/fontes/numbers.cpp b/fontes/numbers.cpp new file mode 100644 index 0000000..0f4558a --- /dev/null +++ b/fontes/numbers.cpp @@ -0,0 +1,8 @@ +ll clamp(ll x, ll lo, ll hi) { return min(hi, max(x, lo)); } +int msb(ll i) { return i ? __lg(i)+1 : 0; } +int lsb(ll i) { return msb(i&-i); } +ll equals_zero_mod_m_inclusive(ll a, ll b, ll m) { + return b/m - a/m + bool(a%m == 0); } +ll multiples_inclusive(ll a, ll b, ll x) { + return b/x - (a-1)/x; } +ll ceil_div(ll x, ll y) { return (x/y) + bool(x%y); } diff --git a/fontes/pascal-triangle.cpp b/fontes/pascal-triangle.cpp new file mode 100644 index 0000000..13b9ed5 --- /dev/null +++ b/fontes/pascal-triangle.cpp @@ -0,0 +1,10 @@ +vector<vector<ll>> binom (51, vector<ll>(51)); + +void pascal() { + for (int n = 0; n <= 50; n++) { + binom[n][0] = binom[n][n] = 1; + for (int k = 1; k <= n; k++) { + binom[n][k] = binom[n-1][k-1] + binom[n-1][k]; + } + } +} diff --git a/fontes/point-compression.cpp b/fontes/point-compression.cpp new file mode 100644 index 0000000..72463c7 --- /dev/null +++ b/fontes/point-compression.cpp @@ -0,0 +1,10 @@ +void compress(int n, ll p, ll q) { + vector<pair<ll, int>> a (n); + for (int i = 0; i < n; i++) { + a[i] = make_pair(q*point[i].yy - p*point[i].xx, i); + } + sort(a.begin(), a.end()); + for (int i = 0; i < n; i++) { + f[a[i].second] = i; + } +} diff --git a/fontes/prim.cpp b/fontes/prim.cpp index 2fa7787..395f9cf 100644 --- a/fontes/prim.cpp +++ b/fontes/prim.cpp @@ -2,7 +2,7 @@ vvii graph (N), prim_tree (N); vector<bool> visited (N, false); vi min_parent (N, -1), min_weight (N, oo); -int prim (int initial, int N) { +int prim (int initial) { int weight_sum = 0; priority_queue<ii, vii, greater<ii>> Q; diff --git a/fontes/rectangle-intersection.cpp b/fontes/rectangle-intersection.cpp new file mode 100644 index 0000000..4b15b19 --- /dev/null +++ b/fontes/rectangle-intersection.cpp @@ -0,0 +1,7 @@ +pt tl = pt(max(tl0.px, tl1.px), max(tl0.py, tl1.py)); +pt br = pt(min(br0.px, br1.px), min(br0.py, br1.py)); + +bool has_intersection = + (make_pair(tl.px, tl.py) <= make_pair(br.px, br.py)); +int area = (br-tl).px * (br-tl).py + diff --git a/fontes/segment-tree.cpp b/fontes/segment-tree.cpp index 580955d..dabc300 100644 --- a/fontes/segment-tree.cpp +++ b/fontes/segment-tree.cpp @@ -1,4 +1,4 @@ -vector<T> stree(4*N), origin(N); +vector<T> stree(2*N), origin(N); #define LEFT 2*i #define RIGH 2*i+1 @@ -11,13 +11,13 @@ void build /* O(n lg n) */ (int N) { stree[i] = OP(stree[LEFT], stree[RIGH]); } -void add /* O(lg n) */ (int i, int d) { +void update /* O(lg n) */ (int i, int d) { stree[i += N] = d; for (i /= 2; i > 0; i /= 2) stree[i] = OP(stree[LEFT], stree[RIGH]); } -T query_range /* O(lg n) */ (int i, int j) { +T query_exclusive /* O(lg n) */ (int i, int j) { auto left = NEUTRAL, right = NEUTRAL; for (i += N, j += N; i < j; i /= 2, j /= 2) { if (i & 1) left = OP(left, stree[i++]); diff --git a/fontes/sieve-of-eratosthenes.cpp b/fontes/sieve-of-eratosthenes.cpp index 7059909..727f6e3 100644 --- a/fontes/sieve-of-eratosthenes.cpp +++ b/fontes/sieve-of-eratosthenes.cpp @@ -1,9 +1,58 @@ -vector<bool> sieve (1e9+1, true); +vector<bool> sieve (n + 1, true); -void sieve_eratosthenes(int n) { - for (int i = 2; i * i <= n; i++) if (sieve[i]) { - for (int j = i * i; j <= n; j += i) { - sieve[j] = false; - } +void sieve_eratosthenes /* O (n lg lg n) */ (int n) { + for (int i = 2; i * i <= n; i++) if (sieve[i]) { + for (int j = i * i; j <= n; j += i) { + sieve[j] = false; } + } +} + +vector<int> divisors (n + 1); + +void number_of_divisors /* O(n lg n) */ (int n) { + for (int i = 1; i <= n; ++i) + for (int j = i; j <= n; j += i) + divisors[j]++; +} + +vector<int> sum_divisors (n + 1); + +void sum_of_divisors /* O(n lg n) */ (int n) { + for (int i = 1; i <= n; ++i) + for (int j = i; j <= n; j += i) + sum_divisors[j] += i; +} + +vector<int> totient (n + 1); + +void euler_totient /* O(n lg lg n) */ (int n) { + for (int i = 1; i <= n; ++i) totient[i] = i; + for (int i = 2; i <= n; ++i) + if (totient[i] == i) + for (int j = i; j <= n; j += i) + totient[j] -= totient[j] / i; +} + +vector<int> big (n + 1) = { 1, 1 }; + +void biggest_prime_divisor /* O(n lg lg n) */ (int n) { + for (int i = 1; i <= n; ++i) + if (big[i] == 1) + for (int j = i; j <= n; j += i) + big[j] = i; +} + +vector<int> lp (n + 1); +vector<int> pr; + +void linear_sieve /* O(n) */ (int n) { + for (int i = 2; i <= n; i++) { + if (lp[i] == 0) { + lp[i] = i; + pr.push_back(i); + } + for (int j = 0; j < pr.size() && pr[j] <= lp[i] && i * pr[j] <= n; j++) + lp[i * pr[j]] = pr[j]; + } } diff --git a/fontes/stable-matching.cpp b/fontes/stable-matching.cpp new file mode 100644 index 0000000..e71e6f5 --- /dev/null +++ b/fontes/stable-matching.cpp @@ -0,0 +1,37 @@ +// Gale-Shapley +// O(n^2) + +vector<vector<int>> pref_m (n, vector<int>(n)); // [m][j] = w +vector<vector<int>> pref_w_idx (n, vector<int>(n+1)); // [w][m] = j + +// m +vector<bool> single (n, true); +vector<int> match (n, -1); +// w +vector<int> watch (n, n); + +vector<ii> galeshapley(int n) { + // sentinel + for (int w = 0; w < n; w++) { pref_w_idx[w][n] = n; } + + bool done = false; + while (!done) { + done = true; + for (int m = 0; m < n; m++) if (single[m]) { + done = false; + match[m] += 1; + int w = pref_m[m][match[m]]; + if (pref_w_idx[w][m] < pref_w_idx[w][watch[w]]) { + single[watch[w]] = true; + watch[w] = m; + single[m] = false; + } + } + } + + vector<ii> ans; + for (int m = 0; m < n; m++) { + ans.push_back(ii(m, pref_m[m][match[m]])); + } + return ans; +} diff --git a/fontes/std.cpp b/fontes/std.cpp deleted file mode 100644 index ec93ab0..0000000 --- a/fontes/std.cpp +++ /dev/null @@ -1,42 +0,0 @@ -v.insert(1, v2.begin(), v2.end()); // insert range -v.resize(25); // this effectively changes the size, adds empty items -v.reserve(25); // this only makes the array allocate more space -if (find(v.begin(), v.end(), 42) != v.end()) // element not found -int i = find(v.begin(), v.end(), 42) - v.begin(); // index of such element - -copy(v.begin(), v.end(), back_inserter(s)); - -sort(x.rbegin(), x.rend()); // sort descending -count(all(v)); // O(n), count elements in container - -// set_intersection, set_union, set_difference, set_symmetrical_difference -// inputs need to be sorted, complexity is O(n1 + n2) -// better accomplished with a static int array -vector<int> tmp(max(v1.size(), v2.size()); -vector<int> res = - vector<int>(tmp.begin(), set_intersection(all(v1), all(v2), tmp.begin())); -int cnt = set_intersection(all(v1), all(v2), tmp.begin()) - tmp.begin(); - -// get rids of duplicates and sorts in ascending order -vector<int> v; -set<int> s(all(v)); -vector<int> v2(all(s); - -int sum = accumulate(all(v), 0); -long long largeSum = accumulate(all(v2), (long long) 0); -double product = accumulate(all(v), double(1), multiplies<double>()); -int innerProduct = inner_product(all(v1), v2.begin(), 0); - -// sort before -do { - solve(); -} while (next_permutation(all(v)); - -// Output from container with spaces -copy(container.begin(), container.end(), - ostream_iterator<Type>(cout, ' ')); -fill(myvector.begin(),myvector.begin()+4,5); -// Fill with numbers -iota(numbers,numbers+10,100); - -bool isPowerOfTwo (int n) { return n && (!(n&(n-1))); } diff --git a/fontes/stoer-wagner.cpp b/fontes/stoer-wagner.cpp new file mode 100644 index 0000000..28eac66 --- /dev/null +++ b/fontes/stoer-wagner.cpp @@ -0,0 +1,42 @@ +vector<vector<int>> res (N, vector<int>(N)); +vector<int> dist (N); +vector<bool> visited (N); +vector<bool> bin (N); + +int contract(int n, int &s, int &t) { + fill(dist.begin(), dist.end(), 0); + fill(visited.begin(), visited.end(), 0); + + int mincut, maxc; + for (int i = 0; i < n; i++) { + int k = -1; maxc = -1; + for (int j = 0; j < n; j++) + if (!bin[j] && !visited[j] && dist[j] > maxc) { + k = j; + maxc = dist[j]; + } + if (k == -1) return mincut; + s = t; t = k; + mincut = maxc; + visited[k] = true; + for (int j = 1; j < n; j++) + if (!bin[j] && !visited[j]) { + dist[j] += res[k][j]; + } + } + return mincut; +} + +int stoer_wagner(int n) { + int mincut = oo; + int s, t; + for (int i = 0; i < n-1; i++) { + mincut = min(mincut, contract(n, s, t)); + if (mincut == 0) { return 0; } + bin[t] = true; + for (int j = 0; j < n; j++) if (!bin[j]) { + res[s][j] = (res[j][s] += res[j][t]); + } + } + return mincut; +} diff --git a/fontes/stress.sh b/fontes/stress.sh new file mode 100644 index 0000000..39e076b --- /dev/null +++ b/fontes/stress.sh @@ -0,0 +1,13 @@ +for (( I=0; I < 5; I++ )); do + ./gen $I >a.in + ./brute <a.in >a.exp + ./a.out <a.in >a.out + diff -u a.exp a.out + if [[ $? -ne 0 ]]; then + echo "--> entrada:"; cat a.in + echo "--> saída esperada"; cat a.exp + echo "--> saída obtida"; cat a.out + break + fi + echo -n . +done diff --git a/fontes/stupid-hash.cpp b/fontes/stupid-hash.cpp new file mode 100644 index 0000000..652c6bd --- /dev/null +++ b/fontes/stupid-hash.cpp @@ -0,0 +1,22 @@ +const int HS = 10000; +vector<ll> key (HS), value (HS), ts (HS); + +int cts = 0; + +void hash_put(ll k, ll v) { + ll pos = k % HS; + while (ts[pos] == cts) + pos++; pos %= HS; + ts[pos] = cts; + key[pos] = k; + value[pos] = v; +} + +ll hash_get(ll k) { + ll pos = k % HS; + while (ts[pos] == cts && key[pos] != k) + pos++; pos %= HS; + if (ts[pos] == cts && key[pos] == k) + return value[pos]; + return -1; +} diff --git a/fontes/suffix-array-sort.cpp b/fontes/suffix-array-sort.cpp index b6a8941..798a95b 100644 --- a/fontes/suffix-array-sort.cpp +++ b/fontes/suffix-array-sort.cpp @@ -1,3 +1,7 @@ +#define kk first +#define ii second + +// O(n lg^2 n) vector<int> build_sa(int n, string s) { vector<int> sk (s.begin(), s.end()); @@ -15,3 +19,17 @@ vector<int> build_sa(int n, string s) { for (int i = 0; i < n; i++) { sa[i] = a[i].ii; } return sa; } + +vector<int> compute_lcp (vector<int> sa, vector<int> sk) { + vector<int> lcp (n); + int k = 0; + for (int i = 0; i < n-1; i++) { + int pi = sk[i]; + int j = sa[pi-1]; + // lcp[i] = lcp[s[i..], s[j..]) + while (s[i+k] == s[j+k]) k++; + lcp[pi] = k; + k = max(k - 1, 0); + } + return lcp; +} diff --git a/fontes/suffix-automaton.cpp b/fontes/suffix-automaton.cpp new file mode 100644 index 0000000..1bfdd8d --- /dev/null +++ b/fontes/suffix-automaton.cpp @@ -0,0 +1,51 @@ +struct suffix_automaton { + int last, sz; + vector<int> len, lnk, acc; + vector<vector<int>> nxt; + + suffix_automaton() : len(2*MAX), lnk(2*MAX), + acc(2*MAX), nxt(2*MAX, vector<int>(26)) {} + + void add(int c) { + int cur = sz++; + len[cur] = len[last]+1; + int p = last; + last = cur; + for (; ~p && !nxt[p][c]; p = lnk[p]) + nxt[p][c] = cur; + if (!~p) { lnk[cur] = 0; return; } + int q = nxt[p][c]; + if (len[q] == len[p]+1) { lnk[cur] = q; return; } + int qq = sz++; + len[qq] = len[p]+1; + lnk[qq] = lnk[q]; + copy(nxt[q].begin(), nxt[q].end(), nxt[qq].begin()); + for (; ~p && nxt[p][c] == q; p = lnk[p]) + nxt[p][c] = qq; + lnk[cur] = lnk[q] = qq; + } + + void build(string& s) { + last = 0, sz = 1; + len[0] = 0, lnk[0] = -1; + for (char ch : s) { add(ch-'A'); } + for (int u = last; u; u = lnk[u]) { acc[u] = 1; } + } + + int longest_common_substring(string& t) { + int u = 0, l = 0, ans = 0, pos = -1; + for (int i = 0; i < t.size(); i++) { + while (u && !nxt[u][t[i]-'A']) { + u = lnk[u]; l = len[u]; + } + if (nxt[u][t[i]-'A']) { + u = nxt[u][t[i]-'A']; + l++; + } else { + u = 0; l = 0; + } + if (l > ans) { ans = l; pos = i; } + } + return ans; + } +}; diff --git a/fontes/suffix-tree.cpp b/fontes/suffix-tree.cpp new file mode 100644 index 0000000..33ab59b --- /dev/null +++ b/fontes/suffix-tree.cpp @@ -0,0 +1,73 @@ +struct suffix_tree { + vector<vector<int>> nxt; + vector<int> l, r; + vector<int> parent; + vector<int> suf; + + suffix_tree() : nxt(MAXN, vector<int>(5)), l(MAXN), r(MAXN), + parent(MAXN), suf(MAXN) {} + + int len(int i) { return r[i] - l[i] + 1; } + + int at(string& s, int i, int j) { return id(s[l[i] + j]); } + + int cur = 1; + + int new_node (int a, int b, int p) { + l[cur] = a, r[cur] = b; + parent[cur] = p; + return cur++; + } + + void build (string s) { + s += '$'; + int root = new_node(0, -1, 0); + int u = root, i = 0, ui = 0, ns = 0; + for (int j = 0; j < s.size(); j++) + for (; i <= j; i++) { + if (ui == len(u) && nxt[u][id(s[j])]) { + u = nxt[u][id(s[j])]; + ui = 0; + } + if (ui < len(u) && at(s, u, ui) == id(s[j])) { + ui++; break; + } + if (ui == len(u)) { + nxt[u][id(s[j])] = new_node(j, s.size()-1, u); + if (u != root) { + u = suf[u]; + ui = len(u); + } + } else { + int mi = new_node(l[u], l[u] + ui - 1, parent[u]); + nxt[parent[u]][at(s, mi, 0)] = mi; + nxt[mi][at(s, u, ui)] = u; + parent[u] = mi; + l[u] += ui; + nxt[mi][id(s[j])] = new_node(j, s.size()-1, mi); + if (ns) { suf[ns] = mi; } + u = parent[mi]; + int g; + if (u != root) { + u = suf[u]; + g = j - ui; + } else { + g = i + 1; + } + while (g < j && g + len(nxt[u][id(s[g])]) <= j) { + u = nxt[u][id(s[g])]; + g += len(u); + } + if (g == j) { + ns = 0; + suf[mi] = u; + ui = len(u); + } else { + ns = mi; + u = nxt[u][id(s[g])]; + ui = j - g; + } + } + } + } +}; diff --git a/fontes/template.cpp b/fontes/template.cpp index 617bab6..0626c8c 100644 --- a/fontes/template.cpp +++ b/fontes/template.cpp @@ -1,27 +1,10 @@ #include <bits/stdc++.h> - -#define oo 987654321 -#define clamp(x,l,u) (min(u, max(x, l))) - -// for coordinates -#define xx first -#define yy second -// for graphs -#define vv first -#define ww second -// for cost/vertex in dijkstra -#define cc first -#define uu second +using namespace std; using ll = long long; #define $(X) {if (DEBUG) { \ cerr << __LINE__ << ":"; {x} cerr << endl;}} #define _(X) {cerr << #X << " = " << X << " ";} -using namespace std; - -typedef long long ll; - int main() { - ios::sync_with_stdio(0); - cin.tie(0); + ios::sync_with_stdio(0); cin.tie(0); } diff --git a/fontes/topological-sort.cpp b/fontes/topological-sort.cpp index 5af46e4..0fd1a4d 100644 --- a/fontes/topological-sort.cpp +++ b/fontes/topological-sort.cpp @@ -9,8 +9,8 @@ void dfs(int u) { } void topo_sort(int n) { - fill(visited.begin(), visited.begin() + n + 1, false); - for (int u = 1; u <= n; u++) { dfs(u); } + fill(visited.begin(), visited.begin() + n, false); + for (int u = 0; u < n; u++) { dfs(u); } while (!S.empty()) { int v = S.top(); S.pop(); } diff --git a/fontes/vimrc b/fontes/vimrc index ca1c3d6..9b4cfa0 100644 --- a/fontes/vimrc +++ b/fontes/vimrc @@ -1,4 +1,4 @@ -set ts=4 sw=4 cin ai et sta +set ts=2 sw=2 cin ai et sta set is tm=50 nu noeb bg=dark ru cul sm sy on no! <silent> <C-l> <Esc> diff --git a/testes/convex-hull.cpp b/testes/convex-hull.cpp index 3154ef6..a3b3226 100644 --- a/testes/convex-hull.cpp +++ b/testes/convex-hull.cpp @@ -1,26 +1,10 @@ #include <bits/stdc++.h> - -#define oo 987654321 -#define clamp(x,l,u) (min(u, max(x, l))) - -// for coordinates -#define xx first -#define yy second -// for graphs -#define vv first -#define ww second -// for cost/vertex in dijkstra -#define cc first -#define uu second +using namespace std; using ll = long long; #define $(X) {if (DEBUG) { \ cerr << __LINE__ << ":"; {x} cerr << endl;}} #define _(X) {cerr << #X << " = " << X << " ";} -using namespace std; - -typedef long long ll; - #define all(x) x.begin(), x.end() #define px real() #define py imag() @@ -31,9 +15,10 @@ typedef vector<pt> vpt; int sgn (double v) { return (v > 0) - (v < 0); } // -1 (cw), 0 (colinear), +1 (ccw) int seg_ornt (pt a, pt b, pt c) { - return sgn((conj(b - a) * (c - a)).py); + return sgn(cross(vec(a, b), vec(a, c))); } +// doesn't include collinear points (<= -> < to include) vpt convex_hull_ccw /* O(n lg n) */ (vpt& ps) { int k = 0, n = ps.size(); vpt result (n * 2); @@ -129,8 +114,7 @@ vpt convex_hull_cw_colinear /* O(n lg n) */ (vpt& ps) { } int main() { - ios::sync_with_stdio(0); - cin.tie(0); + ios::sync_with_stdio(0); cin.tie(0); vpt convex; // 1 |* * diff --git a/testes/fenwick-2d-tree.cpp b/testes/fenwick-2d-tree.cpp index 36a24ce..8b3d46f 100644 --- a/testes/fenwick-2d-tree.cpp +++ b/testes/fenwick-2d-tree.cpp @@ -1,26 +1,10 @@ #include <bits/stdc++.h> - -#define oo 987654321 -#define clamp(x,l,u) (min(u, max(x, l))) - -// for coordinates -#define xx first -#define yy second -// for graphs -#define vv first -#define ww second -// for cost/vertex in dijkstra -#define cc first -#define uu second +using namespace std; using ll = long long; #define $(X) {if (DEBUG) { \ cerr << __LINE__ << ":"; {x} cerr << endl;}} #define _(X) {cerr << #X << " = " << X << " ";} -using namespace std; - -typedef long long ll; - const int ftN = 1e3 + 3; const int ftM = 1e3 + 3; @@ -52,8 +36,7 @@ int ft_rsq /* O(lg^2 n) */ ( } int main() { - ios::sync_with_stdio(0); - cin.tie(0); + ios::sync_with_stdio(0); cin.tie(0); ft_add(1, 1, 1); ft_add(1, 2, 3); ft_add(1, 3, 9); diff --git a/testes/fenwick-tree.cpp b/testes/fenwick-tree.cpp index acc6f1c..b7b9d9a 100644 --- a/testes/fenwick-tree.cpp +++ b/testes/fenwick-tree.cpp @@ -1,26 +1,10 @@ #include <bits/stdc++.h> - -#define oo 987654321 -#define clamp(x,l,u) (min(u, max(x, l))) - -// for coordinates -#define xx first -#define yy second -// for graphs -#define vv first -#define ww second -// for cost/vertex in dijkstra -#define cc first -#define uu second +using namespace std; using ll = long long; #define $(X) {if (DEBUG) { \ cerr << __LINE__ << ":"; {x} cerr << endl;}} #define _(X) {cerr << #X << " = " << X << " ";} -using namespace std; - -typedef long long ll; - const int N = 1e5 + 3; typedef vector<int> vi; @@ -41,19 +25,18 @@ int query /* O(lg n) */ (int i) { } // 1: add + range_sum, query is query_upto -int range_query /* O(lg n) */ (int i, int j) { +int query_inclusive /* O(lg n) */ (int i, int j) { return query(j) - query(i - 1); } // 2: range_add + query, query is query -void range_add (int a, int b, int d) { - add(a, d); - add(b + 1, -d); +void add_inclusive (int a, int b, int d) { + add(a, d); + add(b + 1, -d); } int main() { - ios::sync_with_stdio(0); - cin.tie(0); + ios::sync_with_stdio(0); cin.tie(0); add(1, 1); add(2, 3); add(3, 5); diff --git a/testes/hld-ps.cpp b/testes/hld-ps.cpp index 106eae8..9dfc45a 100644 --- a/testes/hld-ps.cpp +++ b/testes/hld-ps.cpp @@ -1,26 +1,10 @@ #include <bits/stdc++.h> - -#define oo 987654321 -#define clamp(x,l,u) (min(u, max(x, l))) - -// for coordinates -#define xx first -#define yy second -// for graphs -#define vv first -#define ww second -// for cost/vertex in dijkstra -#define cc first -#define uu second +using namespace std; using ll = long long; #define $(X) {if (DEBUG) { \ cerr << __LINE__ << ":"; {x} cerr << endl;}} #define _(X) {cerr << #X << " = " << X << " ";} -using namespace std; - -typedef long long ll; - const int N = 1e5 + 3; vector<ll> prefix_sum(N+1, 0); @@ -45,18 +29,19 @@ typedef vector<vector<il>> vvil; vvil graph (N); vi costs(N); -vi heavy(N, -1), parents(N, -1); -vi heights(N); +vi heavy(N, -1), anc(N, -1); +vi depth(N); -int hld_fill /* O(V + E) */ (int u, int cost) { +int hld_fill /* O(V + E) */ (int u, int c) { int w = 1, maxw = 0; costs[u] = cost; + cost[u] = c; for (auto e : graph[u]) { int v, c; tie(v, c) = e; - if (v != parents[u]) { - parents[v] = u; - heights[v] = heights[u] + 1; + if (v != anc[u]) { + anc[v] = u; + depth[v] = depth[u] + 1; int cw = hld_fill(v, c); w += cw; if (cw > maxw) { @@ -75,6 +60,7 @@ int cix = 1; void hld /* O(n lg n) */ (int u, int h = 1) { hds[u] = h; origin[cix] = costs[u]; + origin[cix] = cost[u]; ixs[u] = cix++; if (heavy[u] != -1) @@ -83,27 +69,26 @@ void hld /* O(n lg n) */ (int u, int h = 1) { for (auto e : graph[u]) { int v, c; tie(v, c) = e; - if (v != parents[u] && v != heavy[u]) + if (v != anc[u] && v != heavy[u]) hld(v, v); // new chain } } ll hld_sum /* O(lg^2 n) */ (int u, int v) { ll answer = 0; - for (; hds[u] != hds[v]; v = parents[hds[v]]) { - if (heights[hds[u]] > heights[hds[v]]) swap(u, v); - ll path_sum = ps_query_inclusive(ixs[hds[v]], ixs[v]); + for (; hds[u] != hds[v]; v = anc[hds[v]]) { + if (depth[hds[u]] > depth[hds[v]]) swap(u, v); + ll path_sum = query_inclusive(ixs[hds[v]], ixs[v]); answer += path_sum; } - if (heights[u] > heights[v]) swap(u, v); + if (depth[u] > depth[v]) swap(u, v); // Remove +1 if values are associated with vertices - return answer + ps_query_inclusive(ixs[u] + 1, ixs[v]); + return answer + query_inclusive(ixs[u] + 1, ixs[v]); } int main() { - ios::sync_with_stdio(0); - cin.tie(0); + ios::sync_with_stdio(0); cin.tie(0); int N; while (cin >> N, N != 0) { diff --git a/testes/lazy-segment-tree.cpp b/testes/lazy-segment-tree.cpp index 3ece8f4..b57d05e 100644 --- a/testes/lazy-segment-tree.cpp +++ b/testes/lazy-segment-tree.cpp @@ -1,26 +1,10 @@ #include <bits/stdc++.h> - -#define oo 987654321 -#define clamp(x,l,u) (min(u, max(x, l))) - -// for coordinates -#define xx first -#define yy second -// for graphs -#define vv first -#define ww second -// for cost/vertex in dijkstra -#define cc first -#define uu second +using namespace std; using ll = long long; #define $(X) {if (DEBUG) { \ cerr << __LINE__ << ":"; {x} cerr << endl;}} #define _(X) {cerr << #X << " = " << X << " ";} -using namespace std; - -typedef long long ll; - #define OP(X, Y) (X + Y) #define NEUTRAL 0 #define FACTOR (tb - ta + 1) @@ -29,7 +13,6 @@ const int N = 1e5 + 3; #define LEFT 2*i #define RIGH 2*i+1 -#define MID (ta+tb)/2 struct node { int data = 0; @@ -45,61 +28,66 @@ struct node { }; }; +const int N = 1e5+15; +const int LOG = ceil(log2(N)); + struct dlta { int add = 0, set = -1; }; -vector<node> stree(4*N), origin(N); -vector<dlta> delta(4*N); - -void push (int i, int ta, int tb) { - dlta &d = delta[i]; - dlta &l = delta[LEFT], &r = delta[RIGH]; - if (d.add != 0) { - stree[i] += FACTOR * d.add; - if (ta != tb) { l.add += d.add; r.add += d.add; } - d.add = 0; - } - if (d.set != -1) { - stree[i] = FACTOR * d.set; - if (ta != tb) { l = r = { 0, d.set }; } - d.set = -1; - } +vector<ll> stree(2*N), origin(N); +vector<dlta> delta(2*N); + +ll apply(int i, dlta d, int sz) { + if (d.set != -1) { + stree[i] = d.set * sz; + delta[i] = { 0, d.set }; + } + if (d.add != 0) { + stree[i] += d.add * sz; + delta[i].add += d.add; + } + return stree[i]; } -node update (int i, char op, int d, int ta, int tb) { - if (op == '+') delta[i].add = d; - if (op == '=') delta[i].set = d; - push(i, ta, tb); - return stree[i]; +void pull(int p) { + for (int s = __builtin_ctz(p)+1; s < LOG; s++) { + int i = p >> s; + stree[i] = stree[LEFT] + stree[RIGH]; + } } -node recalc (int i) { - return stree[i] = OP(stree[LEFT], stree[RIGH]); +void push(int p) { + int sz = 1 << (LOG-1); + for (int s = LOG; s > 0; s--, sz /= 2) { + int i = p >> s; + apply(LEFT, delta[i], sz); + apply(RIGH, delta[i], sz); + delta[i] = {}; + } } -void build /* O(n lg n) */ ( - int i = 1, int ta = 0, int tb = N-1) { - if (ta == tb) { stree[i] = origin[ta]; return; } - build(LEFT, ta, MID); - build(RIGH, MID+1, tb); - recalc(i); +ll op_range(int l, int r, char op = '\0', ll x = 0) { + dlta d; + if (op == '+') { d.add = x; } + if (op == '=') { d.set = x; } + int tl = l += N, tr = r += N, sz = 1; + push(tl); push(tr); + ll ans = 0; + for (; l < r; l /= 2, r /= 2, sz *= 2) { + if (l & 1) ans += apply(l++, d, sz); + if (r & 1) ans += apply(--r, d, sz); + } + pull(tl); pull(tr); + return ans; } -node op_range /* O(lg n) */ (int a, int b, - char op = '\0', int d = 0, - int i = 1, int ta = 0, int tb = N-1) { - push(i, ta, tb); - if (!(a <= tb && ta <= b)) { return NEUTRAL; } - if (a <= ta && tb <= b) { - return update(i, op, d, ta, tb); - } - node r1 = op_range(a, b, op, d, LEFT, ta, MID); - node r2 = op_range(a, b, op, d, RIGH, MID+1, tb); - if (op) { recalc(i); } - return OP(r1, r2); +void build () { + for (int i = 0; i < N; i++) + stree[N+i] = origin[i]; + for (int i = N-1; i > 0; i--) + stree[i] = stree[LEFT] + stree[RIGH]; } int main() { - ios::sync_with_stdio(0); - cin.tie(0); + ios::sync_with_stdio(0); cin.tie(0); op_range(1, 10, '+', 1); op_range(1, 8, '+', 1); op_range(2, 4, '+', 5); -- GitLab