diff --git a/README.md b/README.md index eb2c3b4..7b7341f 100644 --- a/README.md +++ b/README.md @@ -56,6 +56,7 @@ Repositório com a formatação de problemas que exploram variadas técnicas de - [Pique Pega](./pique-pega/) - [Lazy Jumping Frog](./ra-preguicosa/) - [Rede Anel Estelar](./rede-anel-estelar/) +- [SMS](./sms) --- diff --git a/sms/Makefile b/sms/Makefile new file mode 100644 index 0000000..4227f1a --- /dev/null +++ b/sms/Makefile @@ -0,0 +1,97 @@ +# Normal directories +SRC_DIR := src +BIN_DIR := bin +DBG_DIR := bin/debug + +# Grader directories +GRADER := $(wildcard $(SRC_DIR)/grader.cpp) +GRADER_DIR := $(SRC_DIR)/grader +HANDLER_DIR := $(SRC_DIR)/handler + +GRADER_SRC := $(wildcard $(GRADER_DIR)/*.cpp) +GRADER_BIN := $(patsubst $(GRADER_DIR)/%.cpp, $(BIN_DIR)/%, $(GRADER_SRC)) +GRADER_DBG := $(patsubst $(GRADER_DIR)/%.cpp, $(DBG_DIR)/%, $(GRADER_SRC)) + +# Change CPP source directories if grader is defined +ifdef GRADER + SRC := $(wildcard $(HANDLER_DIR)/*.cpp) + BIN := $(patsubst $(HANDLER_DIR)/%.cpp, $(BIN_DIR)/%, $(SRC)) + DBG := $(patsubst $(HANDLER_DIR)/%.cpp, $(DBG_DIR)/%, $(SRC)) +else + SRC := $(wildcard $(SRC_DIR)/*.cpp) + BIN := $(patsubst $(SRC_DIR)/%.cpp, $(BIN_DIR)/%, $(SRC)) + DBG := $(patsubst $(SRC_DIR)/%.cpp, $(DBG_DIR)/%, $(SRC)) +endif + +SRC_C := $(wildcard $(SRC_DIR)/*.c) +BIN_C := $(patsubst $(SRC_DIR)/%.c, $(BIN_DIR)/%, $(SRC_C)) +DBG_C := $(patsubst $(SRC_DIR)/%.c, $(DBG_DIR)/%, $(SRC_C)) + +SRC_JAVA := $(wildcard $(SRC_DIR)/*.java) +BIN_JAVA := $(patsubst $(SRC_DIR)/%.java, $(BIN_DIR)/%.class, $(SRC_JAVA)) +DBG_JAVA := $(patsubst $(SRC_DIR)/%.java, $(DBG_DIR)/%.class, $(SRC_JAVA)) + +CHECKER := $(wildcard $(SRC_DIR)/checker.cpp) + +C := gcc +CPP := g++ +CXX_FLAGS := -Wall -O2 +DEBUG_FLAGS := -Wall -g +BOCA_FLAGS := -static -DBOCA_SUPPORT + +JV = javac +JV_DEBUG = -g +JV_DIR = -d bin +JV_DBG_DIR = -d bin/debug + +.PHONY: all debug release checker clean + +all: debug release checker + +debug: $(DBG) $(DBG_C) $(DBG_JAVA) $(GRADER_DBG) + +release: $(BIN) $(BIN_C) $(BIN_JAVA) $(GRADER_BIN) + +ifdef CHECKER +checker: $(DBG_DIR)/checker-boca $(BIN_DIR)/checker-boca +endif + +$(BIN): $(BIN_DIR)/% : $(SRC_DIR)/%.cpp | $(BIN_DIR) + $(CPP) $(CXX_FLAGS) $^ -o $@ + +$(DBG): $(DBG_DIR)/% : $(SRC_DIR)/%.cpp | $(DBG_DIR) + $(CPP) $(DEBUG_FLAGS) $^ -o $@ + +$(BIN_C): $(BIN_DIR)/% : $(SRC_DIR)/%.c | $(BIN_DIR) + $(C) $(CXX_FLAGS) $^ -o $@ + +$(DBG_C): $(DBG_DIR)/% : $(SRC_DIR)/%.c | $(DBG_DIR) + $(C) $(DEBUG_FLAGS) $^ -o $@ + +$(BIN_JAVA): $(BIN_DIR)/%.class : $(SRC_DIR)/%.java | $(BIN_DIR) + $(JV) $(JV_DIR) $^ + +$(DBG_JAVA): $(DBG_DIR)/%.class : $(SRC_DIR)/%.java | $(DBG_DIR) + $(JV) $(JV_DEBUG) $(JV_DBG_DIR) $^ + +$(GRADER_BIN): $(BIN_DIR)/% : $(GRADER_DIR)/%.cpp $(GRADER) $(GRADER_DIR)/*.h + $(CPP) $(CXX_FLAGS) $^ -o $@ + +$(GRADER_DBG): $(DBG_DIR)/% : $(GRADER_DIR)/%.cpp $(GRADER) $(GRADER_DIR)/*.h + $(CPP) $(DEBUG_FLAGS) $^ -o $@ + +$(BIN_DIR): + mkdir -p $@ + +$(DBG_DIR): + mkdir -p $@ + +$(BIN_DIR)/checker-boca: $(SRC_DIR)/checker.cpp + $(CPP) $(CXX_FLAGS) $(BOCA_FLAGS) $^ -o $@ + +$(DBG_DIR)/checker-boca: $(SRC_DIR)/checker.cpp + $(CPP) $(DEBUG_FLAGS) $(BOCA_FLAGS) $^ -o $@ + +clean: + @echo Cleaning problem files + rm -rf bin diff --git a/sms/image.png b/sms/image.png new file mode 100644 index 0000000..1f308bf Binary files /dev/null and b/sms/image.png differ diff --git a/sms/input/1 b/sms/input/1 new file mode 100644 index 0000000..a6d99b2 --- /dev/null +++ b/sms/input/1 @@ -0,0 +1,6 @@ +5 5 +1 2 +1 3 +1 4 +2 3 +5 4 diff --git a/sms/input/10 b/sms/input/10 new file mode 100644 index 0000000..12442c6 --- /dev/null +++ b/sms/input/10 @@ -0,0 +1,92 @@ +14 91 +1 2 +1 3 +1 4 +1 5 +1 6 +1 7 +1 8 +1 9 +1 10 +1 11 +1 12 +1 13 +1 14 +2 3 +2 4 +2 5 +2 6 +2 7 +2 8 +2 9 +2 10 +2 11 +2 12 +2 13 +2 14 +3 4 +3 5 +3 6 +3 7 +3 8 +3 9 +3 10 +3 11 +3 12 +3 13 +3 14 +4 5 +4 6 +4 7 +4 8 +4 9 +4 10 +4 11 +4 12 +4 13 +4 14 +5 6 +5 7 +5 8 +5 9 +5 10 +5 11 +5 12 +5 13 +5 14 +6 7 +6 8 +6 9 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+\newcommand{\var}[1]{\ensuremath{{#1}}} + + +\hypersetup{ + letterpaper, + colorlinks=true, + linkcolor=blue, + urlcolor=blue, + pdfpagemode=none, + pdftitle={IV Maratona de Programação do IFB \today}, + pdfauthor={}, + pdfsubject={Caderno de problemas da IV Maratona de Programação do IFB }, + pdfkeywords={maratona, programação, IFB} +} + + + +\DeclareGraphicsExtensions{png} + +\lhead{DS Contest Tools} +\pagestyle{fancy} + +% Capa +\newenvironment{Maratona}[3] +{ + \begin{titlepage} + \begin{center} + + \vspace{1cm} + \Large{\textbf{#1}} \\ + \vspace{1cm} + {\textbf{Caderno de Problemas}} \\ + \vspace{1cm} + \begin{small} + \textsl{#2} + \end{small} \\ + \begin{figure}[htp] + \begin{center} + \includegraphics[scale=1]{logos/logo-maratona.png} + \end{center} + \end{figure} + {(Este caderno contém {#3} problemas)} \\ + \vspace{1cm} + } + { + \vfill + \begin{small} + {QNM 40, Área Especial nº 01, + Taguatinga/DF, 72146-000 , + Brasil } \\ + {Telefone (61) 2103-2200 \\http://www.ifb.edu.br/taguatinga} \\ + \end{small} + \end{center} + \end{titlepage} +} + +\newcommand{\Organizacao}[2]{ + {\small \vfill + \begin{center} + + \textbf{Comissão Organizadora:} \\ + {#1} \\ + \bigskip + \textbf{Apoio:}\\ + {#2} + \end{center} + } + \vfill +} + + +% Problema +\newcounter{problem} +\newenvironment{Problema}[4]{ + \stepcounter{problem} + \newpage + \begin{center} + \Large{\ifthenelse{\equal{#1}{}}{\textbf{{#2}}}{\textbf{Problema {#1} -- {#2} }}}{\\\footnotesize \textbf{Limite de tempo: {#3}s}}{\\[-0.1cm]\footnotesize \textbf{Limite de memória: {#4}MB}} + \end{center} +} + +\newcounter{problemAutor} +\newenvironment{ProblemaAutor}[5]{ + \stepcounter{problemAutor} + \newpage + \begin{center} + \Large{\ifthenelse{\equal{#1}{}}{\textbf{{#2}}}{\textbf{Problema {#1} -- {#2} }}}{\\\footnotesize \textbf{Limite de tempo: {#3}s}}{\\[-0.1cm]\footnotesize \textbf{Limite de memória: {#4}MB\\}}{ + \footnotesize Autor: {#5} + } + \end{center} +} + + +% Código-fonte +\newcommand{\codigofonte}[1]{Nome do arquivo fonte: {#1}} + +% Entrada +\newcommand{\Entrada}{ + \bigskip + \begin{large} + \textbf{Entrada} \\ + \end{large} +} + +% Saida +\newcommand{\Saida}{ + \bigskip + \begin{large} + \textbf{Saída} \\ + \end{large} +} + +\newcommand{\Interacao}{ + \bigskip + \begin{large} + \textbf{Interação} \\ + \end{large} +} + +\newcommand{\Notas}{ + \bigskip + \begin{large} + \textbf{Notas} \\ + \end{large} +} + +% Exemplo +\newenvironment{Exemplo} +{ + + \tabularx{\textwidth}{XX} + % {@{\extracolsep{\fill}}|l|l|} + % {|l|l@{\extracolsep{\fill}|}} + \hline + Entrada & Saída \\\hline +} +{ + \hline + \endtabularx +} + +% Exemplo de Entrada +\newenvironment{ExemploEntrada} +{ + \bigskip + \begin{large} + \textbf{Exemplo} \\ + \end{large} +} +{ +} + +% Sample Output + diff --git a/sms/output/1 b/sms/output/1 new file mode 100644 index 0000000..c0842bf --- /dev/null +++ b/sms/output/1 @@ -0,0 +1,2 @@ +3 +1 4 5 diff --git a/sms/output/10 b/sms/output/10 new file 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/dev/null +++ b/sms/output/8 @@ -0,0 +1,2 @@ +13 +1 83 50 11 19 7 77 37 26 51 64 48 91 diff --git a/sms/output/9 b/sms/output/9 new file mode 100644 index 0000000..741d2c2 --- /dev/null +++ b/sms/output/9 @@ -0,0 +1,2 @@ +4 +1 9 55 68 diff --git a/sms/problem.json b/sms/problem.json new file mode 100644 index 0000000..a77dc74 --- /dev/null +++ b/sms/problem.json @@ -0,0 +1,68 @@ +{ + "version": "1.0", + "problem": { + "title": "SMS", + "event": "", + "time_limit": 1.0, + "memory_limit_mb": 512, + "input_file": "stdin", + "output_file": "stdout", + "interactive": false, + "grader": false, + "subject": { + "en_us": [ + "graphs", + "bfs", + "breadth-first-search" + ], + "pt_br": [ + "grafos", + "bfs", + "busca-em-largura" + ], + "es": [ + "" + ] + } + }, + "author": { + "name": "Arthur Andrade D'Olival", + "affiliation": "", + "country": "", + "email": "" + }, + "build": { + "run_generator": true, + "run_validator": true, + "produce_outputs": true, + "run_checker": true, + "run_all_solutions": true, + "run_specific_solution": "", + "generate_io_only": false, + "generate_pdf_only": false, + "cpu_count": 1, + "build_pdf": true, + "pdf_format": "ds", + "io_samples": 1 + }, + "solutions": { + "main-ac": "ac.cpp", + "alternative-ac": ["alternative-ac.py"], + "wrong-answer": [], + "time-limit": [], + "time-limit-or-ac": [], + "time-limit-or-memory-limit": [], + "memory-limit": [], + "presentation-error": [], + "runtime-error": [] + }, + "polygon_config": { + "id": "" + }, + "boca_config": { + "time_limit": 1, + "number_of_repetitions": 1, + "maximum_memory_mb": 512, + "maximum_output_size_kb": 24096 + } +} \ No newline at end of file diff --git a/sms/sms-tutorial.pdf b/sms/sms-tutorial.pdf new file mode 100644 index 0000000..30900d4 Binary files /dev/null and b/sms/sms-tutorial.pdf differ diff --git a/sms/sms-tutorial.tex b/sms/sms-tutorial.tex new file mode 100644 index 0000000..70ed1a3 --- /dev/null +++ b/sms/sms-tutorial.tex @@ -0,0 +1,23 @@ +\documentclass[10pt]{article} +\usepackage[utf8]{inputenc} +\usepackage{amsmath,amsthm,amssymb} +\usepackage{fullpage} +\usepackage{url} +\pagenumbering{gobble} +\usepackage{hyperref} + +\title{ Tutorial: SMS} +\author{Arthur Andrade D'Olival} +\date{} +\begin{document} +\maketitle +O problema pede o caminho mais curto (em número de arestas) entre o vértice $1$ e o vértice $n$ em um grafo não direcionado sem pesos. + +Isso pode ser resolvido utilizando uma Busca em Largura (BFS). Durante a BFS, podemos armazenar não apenas a distância até cada vértice, mas também qual foi o vértice anterior (o "pai") no caminho mais curto. + +Se ao final da BFS o vértice $n$ não foi visitado, não há rota possível. Caso contrário, podemos reconstruir o caminho mais curto partindo de $n$ e seguindo os "pais" até chegar em $1$. A rota reconstruída deve ser invertida antes de ser impressa. + +\textbf{Complexidade de tempo:} $O(n + m)$ + +\textbf{Complexidade de espaço:} $O(n + m)$ +\end{document} diff --git a/sms/sms.pdf b/sms/sms.pdf new file mode 100644 index 0000000..a50a5d7 Binary files /dev/null and b/sms/sms.pdf differ diff --git a/sms/sms.tex b/sms/sms.tex new file mode 100644 index 0000000..5b4779c --- /dev/null +++ b/sms/sms.tex @@ -0,0 +1,50 @@ +\documentclass{maratona} + +\begin{document} +\begin{ProblemaAutor}{}{SMS}{1}{512}{Arthur Andrade D'Olival} + +Beto finalmente conseguiu o número do telefone de Ana, mas percebeu que está sem créditos para enviar um SMS diretamente! Por sorte, ele e seus amigos bolaram um esquema: eles vão repassar a mensagem de celular em celular utilizando Bluetooth, até que ela chegue ao destino. + +A rede de amigos de Beto é formada por $n$ pessoas e $m$ conexões de proximidade. Como a bateria dos celulares está acabando e cada envio consome um pouco de energia, a mensagem deve ser repassada pelo menor número possível de pessoas. + +Sua tarefa é descobrir se é possível que o SMS de Beto chegue até Ana e, se for possível, qual é o número mínimo de aparelhos (incluindo o de Beto e o de Ana) por onde a mensagem precisará passar. + +\Entrada + +A primeira linha da entrada contém dois inteiros $n$ e $m$ ($2 \le n \le 10^5, 1 \le m \le 2 \cdot 10^5$), indicando o número de pessoas na rede de amigos e o número de conexões de proximidade possíveis. As pessoas são numeradas de $1$ a $n$. Beto é a pessoa de número $1$ e Ana é a pessoa de número $n$. + +As próximas $m$ linhas descrevem as conexões. Cada linha contém dois inteiros $a$ e $b$ ($1 \le a, b \le n, a \neq b$), indicando que há uma conexão de proximidade entre a pessoa $a$ e a pessoa $b$, permitindo a troca de mensagens Bluetooth. + +É garantido que todas as conexões são bidirecionais e existe no máximo uma conexão entre qualquer par de pessoas. + +\Saida + +Se for possível que o SMS chegue até Ana, primeiro imprima $k$: o número mínimo de pessoas em uma rota válida. Depois disso, imprima um exemplo dessa rota com $k$ inteiros. Você pode imprimir qualquer rota válida com tamanho $k$. + +Se não for possível encontrar nenhuma rota, imprima \texttt{-1}. + +\ExemploEntrada +\begin{Exemplo} +\texttt{5~5} & \texttt{3}\\ +\texttt{1~2} & \texttt{1~4~5}\\ +\texttt{1~3} & \\ +\texttt{1~4} & \\ +\texttt{2~3} & \\ +\texttt{5~4} & \\ +\end{Exemplo} + + + +\Notas + +\vspace{0.5cm} + +O primeiro caso de teste pode ser visualizado como o grafo representado abaixo, onde o vértice com a seta vermelha representa Beto e o vértice com a seta azul representa Ana. + +\begin{figure}[h] + \centering + \includegraphics[width=1\textwidth]{image.png} +\end{figure} + +\vspace{0.5cm}\end{ProblemaAutor} +\end{document} diff --git a/sms/src/ac.cpp b/sms/src/ac.cpp new file mode 100644 index 0000000..6b4ba76 --- /dev/null +++ b/sms/src/ac.cpp @@ -0,0 +1,59 @@ +#include + +using namespace std; + +int main(){ + ios_base::sync_with_stdio(false); + cin.tie(NULL); + + int n, m; cin >> n >> m; + + vector> adj(n + 1); + for (int i = 0; i < m; i++) { + int u, v; + cin >> u >> v; + adj[u].push_back(v); + adj[v].push_back(u); + } + + vector dist(n + 1, -1); + vector parent(n + 1, -1); + queue q; + + dist[1] = 0; + q.push(1); + + while (!q.empty()) { + int u = q.front(); + q.pop(); + + if (u == n) break; + + for (int v : adj[u]) { + if (dist[v] == -1) { + dist[v] = dist[u] + 1; + parent[v] = u; + q.push(v); + } + } + } + + if (dist[n] == -1) { + cout << -1 << "\n"; + } else { + vector path; + int curr = n; + while (curr != -1) { + path.push_back(curr); + curr = parent[curr]; + } + reverse(path.begin(), path.end()); + cout << path.size() << "\n"; + for (size_t i = 0; i < path.size(); i++) { + cout << path[i] << (i + 1 == path.size() ? "" : " "); + } + cout << "\n"; + } + + return 0; +} \ No newline at end of file diff --git a/sms/src/alternative-ac.py b/sms/src/alternative-ac.py new file mode 100644 index 0000000..d2318a1 --- /dev/null +++ b/sms/src/alternative-ac.py @@ -0,0 +1,53 @@ +import sys +from collections import deque + +def main(): + input_data = sys.stdin.read().split() + if not input_data: + return + + n = int(input_data[0]) + m = int(input_data[1]) + + adj = [[] for _ in range(n + 1)] + idx = 2 + for _ in range(m): + u = int(input_data[idx]) + v = int(input_data[idx+1]) + adj[u].append(v) + adj[v].append(u) + idx += 2 + + dist = [-1] * (n + 1) + parent = [-1] * (n + 1) + + q = deque() + q.append(1) + dist[1] = 0 + + while q: + u = q.popleft() + if u == n: + break + + for v in adj[u]: + if dist[v] == -1: + dist[v] = dist[u] + 1 + parent[v] = u + q.append(v) + + if dist[n] == -1: + print(-1) + else: + path = [] + curr = n + while curr != -1: + path.append(curr) + curr = parent[curr] + + path.reverse() + print(len(path)) + print(" ".join(map(str, path))) + +if __name__ == '__main__': + main() diff --git a/sms/src/checker.cpp b/sms/src/checker.cpp new file mode 100644 index 0000000..5834c88 --- /dev/null +++ b/sms/src/checker.cpp @@ -0,0 +1,65 @@ +#include "testlib.h" +#include + +using namespace std; + +void check_path(InStream& in, int len, int n, const vector>& adj) { + vector path(len); + for (int i = 0; i < len; i++) { + path[i] = in.readInt(1, n, "path_vertex"); + } + + if (path[0] != 1) { + in.quitf(_wa, "Path must start at 1"); + } + if (path.back() != n) { + in.quitf(_wa, "Path must end at n"); + } + + for (int i = 0; i < len - 1; i++) { + int u = path[i]; + int v = path[i + 1]; + if (!adj[u].count(v)) { + in.quitf(_wa, "No edge between %d and %d", u, v); + } + } +} + +int main(int argc, char *argv[]) { + registerTestlibCmd(argc, argv); + + int n = inf.readInt(); + int m = inf.readInt(); + + vector> adj(n + 1); + for (int i = 0; i < m; i++) { + int u = inf.readInt(); + int v = inf.readInt(); + adj[u].insert(v); + adj[v].insert(u); + } + + int j_ans = ans.readInt(); + int p_ans = ouf.readInt(); + + if (j_ans == -1) { + if (p_ans == -1) { + quitf(_ok, "Both reported -1"); + } else { + quitf(_wa, "Jury says -1, but participant found a path"); + } + } + + if (p_ans == -1) { + quitf(_wa, "Participant says -1, but jury found a path"); + } + + if (p_ans != j_ans) { + quitf(_wa, "Expected path of length %d, but got %d", j_ans, p_ans); + } + + check_path(ans, j_ans, n, adj); + check_path(ouf, p_ans, n, adj); + + quitf(_ok, "Valid shortest path found"); +} \ No newline at end of file diff --git a/sms/src/generator.cpp b/sms/src/generator.cpp new file mode 100644 index 0000000..2ea0b4e --- /dev/null +++ b/sms/src/generator.cpp @@ -0,0 +1,94 @@ +#include "jngen.h" +#include + +using namespace std; + +const int MIN_N = 2; +const int MAX_N = 100000; +const int MAX_M = 200000; + +template void append(vector &dest, const vector &orig) { + dest.insert(dest.end(), orig.begin(), orig.end()); +} + +string output_graph(int n, int m, const vector>& edges) { + ostringstream oss; + oss << n << " " << m << "\n"; + for (auto e : edges) { + oss << e.first + 1 << " " << e.second + 1 << "\n"; + } + return oss.str(); +} + +string generate_random_tc(int n, int m) { + long long max_edges = 1LL * n * (n - 1) / 2; + m = min((long long)m, max_edges); + m = max((long long)m, (long long)n - 1); + Graph g = Graph::random(n, m).connected(); + return output_graph(n, g.m(), g.edges()); +} + +string generate_random_disconnected_tc(int n, int m) { + long long max_edges = 1LL * n * (n - 1) / 2; + m = min((long long)m, max_edges); + Graph g = Graph::random(n, m); + return output_graph(n, g.m(), g.edges()); +} + +string generate_line_tc(int n) { + Graph g = Graph::random(n, n - 1).connected(); + return output_graph(n, g.m(), g.edges()); +} + +vector generate_sample_tests() { + vector tests; + ostringstream sample; + sample << "5 5\n1 2\n1 3\n1 4\n2 3\n5 4\n"; + tests.push_back(sample.str()); + return tests; +} + +vector generate_manual_tests() { + vector tests; + ostringstream imp; + imp << "4 2\n1 2\n3 4\n"; + tests.push_back(imp.str()); + return tests; +} + +vector generate_random_tests() { + vector tests; + for (int i = 0; i < 5; i++) { + tests.push_back(generate_random_disconnected_tc(rnd.next(10, 100), rnd.next(10, 200))); + } + for (int i = 0; i < 5; i++) { + tests.push_back(generate_random_tc(rnd.next(10, 100), rnd.next(10, 200))); + } + for (int i = 0; i < 5; i++) { + tests.push_back(generate_random_tc(rnd.next(1000, 10000), rnd.next(1000, 20000))); + } + return tests; +} + +vector generate_extreme_tests(){ + vector tests; + tests.push_back(generate_random_tc(MAX_N, MAX_M)); + tests.push_back(generate_random_disconnected_tc(MAX_N, MAX_M)); + tests.push_back(generate_line_tc(MAX_N)); + return tests; +} + +int main(int argc, char *argv[]) { + registerGen(argc, argv, 1); + vector tests; + size_t test = 0; + append(tests, generate_sample_tests()); + append(tests, generate_manual_tests()); + append(tests, generate_random_tests()); + append(tests, generate_extreme_tests()); + for (const auto &t : tests) { + startTest(++test); + cout << t; + } + return 0; +} \ No newline at end of file diff --git a/sms/src/jngen.h b/sms/src/jngen.h new file mode 100644 index 0000000..9ad5766 --- /dev/null +++ b/sms/src/jngen.h @@ -0,0 +1,7293 @@ +/* + Copyright (c) 2016-2018 Ivan Smirnov + + Permission is hereby granted, free of charge, to any person obtaining a copy + of this software and associated documentation files (the "Software"), to deal + in the Software without restriction, including without limitation the rights + to use, copy, modify, merge, publish, distribute, sublicense, and/or sell + copies of the Software, and to permit persons to whom the Software is + furnished to do so, subject to the following conditions: + + The above copyright notice and this permission notice shall be included in all + copies or substantial portions of the Software. + + THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE + AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, + OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE + SOFTWARE. +*/ + +/* + This file is automatically generated and is not supposed to be edited + directly. Source code can be found on https://github.com/ifsmirnov/jngen. + + Follow the same link for docs and reference. +*/ + +#define JNGEN_VERSION 0.1 + +// https://github.com/ifsmirnov/jngen/issues/5 +#pragma GCC diagnostic push +#pragma GCC diagnostic ignored "-Wconversion" + +// this warning is buggy in clang >= 5 +#if __clang_major__ >= 5 +#pragma GCC diagnostic push +#pragma GCC diagnostic ignored "-Wunused-lambda-capture" +#endif + +#define JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, name) \ +int _ ## name = 0; \ +Class& name(int val = 1) { _ ## name = val; return *this; } + +#define JNGEN_CHAINING_TRAITS_INNER_0(Class) +#define JNGEN_CHAINING_TRAITS_INNER_1(Class, arg) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) +#define JNGEN_CHAINING_TRAITS_INNER_2(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_1(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_3(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_2(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_4(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_3(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_5(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_4(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_6(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_5(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_7(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_6(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_8(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_7(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_9(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_8(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_10(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_9(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_11(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_10(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_12(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_11(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_13(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_12(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_14(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_13(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_15(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_14(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_16(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_15(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_17(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_16(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_18(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_17(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_19(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_18(Class, __VA_ARGS__) +#define JNGEN_CHAINING_TRAITS_INNER_20(Class, arg, ...) JNGEN_DEFINE_CHAINING_TRAITS_FIELD(Class, arg) JNGEN_CHAINING_TRAITS_INNER_19(Class, __VA_ARGS__) + +#define JNGEN_GET_CHAINING_TRAITS_INNER_IMPL(p1, p2, p3, p4, p5, p6, p7, p8, p9, p10, p11, p12, p13, p14, p15, p16, p17, p18, p19, p20, x, ...) x + +#define JNGEN_GET_CHAINING_TRAITS_INNER(...) JNGEN_GET_CHAINING_TRAITS_INNER_IMPL(\ + __VA_ARGS__,\ + JNGEN_CHAINING_TRAITS_INNER_20,\ + JNGEN_CHAINING_TRAITS_INNER_19,\ + JNGEN_CHAINING_TRAITS_INNER_18,\ + JNGEN_CHAINING_TRAITS_INNER_17,\ + JNGEN_CHAINING_TRAITS_INNER_16,\ + JNGEN_CHAINING_TRAITS_INNER_15,\ + JNGEN_CHAINING_TRAITS_INNER_14,\ + JNGEN_CHAINING_TRAITS_INNER_13,\ + JNGEN_CHAINING_TRAITS_INNER_12,\ + JNGEN_CHAINING_TRAITS_INNER_11,\ + JNGEN_CHAINING_TRAITS_INNER_10,\ + JNGEN_CHAINING_TRAITS_INNER_9,\ + JNGEN_CHAINING_TRAITS_INNER_8,\ + JNGEN_CHAINING_TRAITS_INNER_7,\ + JNGEN_CHAINING_TRAITS_INNER_6,\ + JNGEN_CHAINING_TRAITS_INNER_5,\ + JNGEN_CHAINING_TRAITS_INNER_4,\ + JNGEN_CHAINING_TRAITS_INNER_3,\ + JNGEN_CHAINING_TRAITS_INNER_2,\ + JNGEN_CHAINING_TRAITS_INNER_1,\ + JNGEN_CHAINING_TRAITS_INNER_0) + +#define JNGEN_CHAINING_TRAITS(Class, ...) \ + struct Class { JNGEN_GET_CHAINING_TRAITS_INNER(__VA_ARGS__)(Class, __VA_ARGS__) }; + +namespace jngen { + +struct Config { + bool generateLargeObjects = false; + bool largeOptionIndices = false; + bool normalizeEdges = true; +}; + +#ifdef JNGEN_DECLARE_ONLY +extern +#endif +Config config; + +} // namespace jngen + +using jngen::config; + + +#include +#include +#include +#include +#include +#include +#include +#include + +#ifdef JNGEN_DECLARE_ONLY +#define JNGEN_EXTERN extern +#else +#define JNGEN_EXTERN +#endif + +namespace jngen { + +class Exception : public std::runtime_error { +public: + explicit Exception(const std::string& s) : + std::runtime_error("Assertion `" + s + "' failed.") + { } + + Exception(const std::string& assertMsg, const std::string& expl) : + std::runtime_error(expl + " (assertion `" + assertMsg + "' failed).") + { } +}; + +class InternalException : public Exception { +public: + explicit InternalException(const std::string& s) : Exception(s) {} + + InternalException(const std::string& assertMsg, const std::string& expl) : + Exception(assertMsg, expl) + { } +}; + +} // namespace jngen + +#define JNGEN_ENSURE1(exType, cond)\ +do\ + if (!(cond)) {\ + throw exType(#cond);\ + }\ +while (false) + +#define JNGEN_ENSURE2(exType, cond, msg)\ +do\ + if (!(cond)) {\ + throw exType(#cond, msg);\ + }\ +while (false) + +#define JNGEN_GET_MACRO(_1, _2, NAME, ...) NAME + +#define ensure(...) JNGEN_GET_MACRO(__VA_ARGS__, JNGEN_ENSURE2, JNGEN_ENSURE1)\ + (jngen::Exception, __VA_ARGS__) +#define ENSURE(...) JNGEN_GET_MACRO(__VA_ARGS__, JNGEN_ENSURE2, JNGEN_ENSURE1)\ + (jngen::InternalException, __VA_ARGS__) + +namespace jngen { + +template +std::string format(const std::string& fmt, Args... args) { + constexpr static char BUF_SIZE = 64; + static char BUFFER[BUF_SIZE]; + + int bufSize = BUF_SIZE; + char *buf = BUFFER; + + while (true) { + int ret = std::snprintf(buf, bufSize, fmt.c_str(), args...); + if (ret < bufSize) { + break; + } + + if (bufSize != BUF_SIZE) { + delete[] buf; + } + + bufSize *= 2; + buf = new char[bufSize]; + } + + std::string result(buf); + + if (bufSize != BUF_SIZE) { + delete[] buf; + } + + return result; +} + +class ContextTimer { +public: + ContextTimer(const std::string& name) : name_(name) { + start_ = std::chrono::steady_clock::now(); + } + + ContextTimer() : ContextTimer("") {} + + ContextTimer(const ContextTimer&) = delete; + ContextTimer& operator=(const ContextTimer&) = delete; + ContextTimer(ContextTimer&&) = delete; + ContextTimer& operator=(ContextTimer&&) = delete; + + ~ContextTimer() { + auto dif = std::chrono::steady_clock::now() - start_; + auto ms = std::chrono::duration_cast(dif); + if (!name_.empty()) { + std::cerr << "[" << name_ << "] "; + } + std::cerr << ms.count() << " ms\n"; + } + +private: + std::string name_; + std::chrono::steady_clock::time_point start_; +}; + +template +auto distribution(int n, F&& f) -> std::map { + std::map dist; + for (int i = 0; i < n; ++i) { + ++dist[f()]; + } + return dist; +} + +inline void checkLargeParameter(int n) { + if (!config.generateLargeObjects) { + constexpr static int BOUND = 5e6; + ensure( + n <= BOUND, + "If you want to generate an object of size > 5'000'000, please set " + "'config.generateLargeObjects = true'."); + } +} + +// Some type traits helpers. Based on ideas from TCPPPL v4. +template +using enable_if_t = typename std::enable_if::type; + +template +using decay_t = typename std::decay::type; + +namespace util { + +inline long long gcd(long long a, long long b) { + if (a < 0) { + a = -a; + } + if (b < 0) { + b = -b; + } + + while (a && b) { + if (a > b) { + a %= b; + } else { + b %= a; + } + } + return a + b; +} + +inline std::vector split(std::string s, char delimiter) { + auto strip = [](std::string s) { + size_t l = 0; + while (l < s.size() && s[l] == ' ') { + ++l; + } + s = s.substr(l); + while (!s.empty() && s.back() == ' ') { + s.pop_back(); + } + return s; + }; + + std::vector result; + s += delimiter; + std::string cur; + + for (char c: s) { + if (c == delimiter) { + result.push_back(strip(cur)); + cur.clear(); + } else { + cur += c; + } + } + + return result; +} + +} // namespace util + +} // namespace jngen + +using jngen::format; +using jngen::ContextTimer; +using jngen::distribution; + +#include +#include +#include +#include + +namespace jngen { +namespace drawing { + +using Color = std::string; + +struct DrawingEngineState { + double width; + Color stroke; + Color fill; + double opacity; +}; + +class DrawingEngine { +public: + DrawingEngine() {} + virtual ~DrawingEngine() {} + + virtual void drawPoint(double x, double y) = 0; + virtual void drawCircle(double x, double y, double r) = 0; + virtual void drawSegment(double x1, double y1, double x2, double y2) = 0; + virtual void drawPolygon( + const std::vector>& vertices) = 0; + virtual void drawText( + double x, double y, const std::string& s) = 0; + + virtual void setWidth(double width) = 0; + virtual void setStroke(Color color) = 0; + virtual void setFill(Color color) = 0; + virtual void setOpacity(double opacity) = 0; + + virtual double width() const = 0; + virtual Color stroke() const = 0; + virtual Color fill() const = 0; + virtual double opacity() const = 0; + + DrawingEngineState saveState() { + return { width(), stroke(), fill(), opacity() }; + } + + void restoreState(const DrawingEngineState& state) { + setWidth(state.width); + setStroke(state.stroke); + setFill(state.fill); + setOpacity(state.opacity); + } +}; + +}} // namespace jngen::drawing + + +#include +#include + +namespace jngen { +namespace drawing { + +class SvgEngine : public DrawingEngine { +public: + SvgEngine(double x1 = 0, double y1 = 0, double x2 = 50, double y2 = 50); + + virtual ~SvgEngine() {} + + virtual void drawPoint(double x, double y) override; + virtual void drawCircle(double x, double y, double r) override; + virtual void drawSegment( + double x1, double y1, double x2, double y2) override; + virtual void drawPolygon( + const std::vector>& vertices) override; + virtual void drawText( + double x, double y, const std::string& s) override; + + virtual void setWidth(double width) override; + virtual void setStroke(Color color) override; + virtual void setFill(Color color) override; + virtual void setOpacity(double opacity) override; + + virtual double width() const override { return width_; } + virtual Color stroke() const override { return strokeColor_; } + virtual Color fill() const override { return fillColor_; } + virtual double opacity() const override { return opacity_; } + + std::string serialize() const; + +private: + double lerpX(double x) const; + double lerpY(double y) const; + double scaleSize(double size) const; + + std::string getStyle() const; + + std::ostringstream output_; + + double width_; + Color strokeColor_; + Color fillColor_; + double opacity_; + + double x1_, y1_, x2_, y2_; // borders +}; + +}} // namespace jngen::drawing + +#ifndef JNGEN_DECLARE_ONLY +#define JNGEN_INCLUDE_SVG_ENGINE_INL_H +#ifndef JNGEN_INCLUDE_SVG_ENGINE_INL_H +#error File "svg_engine_inl.h" must not be included directly. +#endif + +#include +#include + +namespace jngen { +namespace drawing { + +static char buf[10000]; +constexpr static double WIDTH_SCALE = 8; +constexpr static double CANVAS_SIZE = 2000; +constexpr static int FONT_SIZE = 64; + +namespace { + +const char* colorToString(const Color& color) { + const static char* NONE = "none"; + if (color.empty()) { + return NONE; + } + return color.c_str(); +} + +// Given x \in [l, r], return linear interpolation to [L, R] +double lerp(double x, double l, double r, double L, double R) { + return L + (R - L) * ((x - l) / (r - l)); +} + +} // namespace + +SvgEngine::SvgEngine(double x1, double y1, double x2, double y2) : + width_(1.0), + opacity_(1.0), + x1_(x1), + y1_(y1), + x2_(x2), + y2_(y2) +{ } + +void SvgEngine::drawPoint(double x, double y) { + x = lerpX(x); + y = lerpY(y); + double w = width_ * WIDTH_SCALE * 1.5; + std::sprintf( + buf, + "", + x, y, w, colorToString(strokeColor_), opacity_ + ); + output_ << buf << "\n"; +} + +void SvgEngine::drawCircle(double x, double y, double r) { + x = lerpX(x); + y = lerpY(y); + r = scaleSize(r); + std::sprintf( + buf, + "", + x, y, r, getStyle().c_str() + ); + output_ << buf << "\n"; +} + +void SvgEngine::drawPolygon( + const std::vector>& points) +{ + output_ << "\n"; +} + +void SvgEngine::drawSegment( + double x1, double y1, double x2, double y2) +{ + x1 = lerpX(x1); + y1 = lerpY(y1); + x2 = lerpX(x2); + y2 = lerpY(y2); + if (std::fabs(x1 - x2) < 1e-9) { + x1 = std::round(x1); + x2 = std::round(x2); + } + if (std::fabs(y1 - y2) < 1e-9) { + y1 = std::round(y1); + y2 = std::round(y2); + } + std::sprintf( + buf, + "", + x1, y1, x2, y2, getStyle().c_str() + ); + output_ << buf << "\n"; +} + +void SvgEngine::drawText( + double x, double y, const std::string& s) +{ + x = std::round(lerpX(x)); + y = std::round(lerpY(y)); + std::sprintf( + buf, + "%s", + x, y, FONT_SIZE, s.c_str() + ); + output_ << buf << "\n"; +} + +void SvgEngine::setWidth(double width) { + width_ = width; +} + +void SvgEngine::setStroke(Color color) { + strokeColor_ = color; +} + +void SvgEngine::setFill(Color color) { + fillColor_ = color; +} + +void SvgEngine::setOpacity(double opacity) { + opacity_ = opacity; +} + +std::string SvgEngine::serialize() const { + int offset = std::sprintf( + buf, + "\n", + 0.0, 0.0, CANVAS_SIZE, CANVAS_SIZE * (y2_ - y1_) / (x2_ - x1_) + ); + std::sprintf( + buf + offset, + "\n", + CANVAS_SIZE/2, CANVAS_SIZE/2, + std::hypot(CANVAS_SIZE, CANVAS_SIZE * (y2_ - y1_) / (x2_ - x1_)) + ); + + return buf + output_.str() + "\n"; +} + +double SvgEngine::lerpX(double x) const { + return lerp(x, x1_, x2_, 0., CANVAS_SIZE); +} + +double SvgEngine::lerpY(double y) const { + return lerp(y, y2_, y1_, 0., CANVAS_SIZE * (y2_ - y1_) / (x2_ - x1_)); +} + +double SvgEngine::scaleSize(double size) const { + return size * CANVAS_SIZE / (x2_ - x1_); +} + +std::string SvgEngine::getStyle() const { + static char buf[1024]; + std::sprintf( + buf, + "stroke-width:%f;stroke:%s;fill:%s;opacity:%f", + width_ * WIDTH_SCALE, + colorToString(strokeColor_), + colorToString(fillColor_), + opacity_ + ); + return buf; +} + +}} // namespace jngen::drawing + +#undef JNGEN_INCLUDE_SVG_ENGINE_INL_H +#endif // JNGEN_DECLARE_ONLY + + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +namespace jngen { +namespace drawing { + +class Drawer { +public: + Drawer(); + + template + void point(const P& p); + template + void point(T x, T y); + + template + void circle(const P& p, double radius); + template + void circle(T x, T y, double radius); + + template + void segment(const P& p1, const P& p2); + template + void segment(T x1, T y1, T x2, T y2); + + template + void polygon(const std::vector

& points); + template + void polygon(std::initializer_list

points); + + void setWidth(double width); + + void setColor(const std::string& color); + + void setStroke(const std::string& color); + + void setFill(const std::string& color); + + void setOpacity(double opacity); + + void enableGrid(bool value) { + gridEnabled_ = value; + } + + void dumpSvg(const std::string& filename); + +private: + struct Point { + double x, y; + Point() {} + Point(double x, double y) : x(x), y(y) {} + }; + + template + Point extractCoords(const T& pt) { + return Point(pt.x, pt.y); + } + + template + Point extractCoords(const std::pair& pt) { + return Point(pt.first, pt.second); + } + + typedef std::function DrawRequest; + + typedef std::pair Bbox; + + static Bbox emptyBbox(); + + static Bbox unite(const Bbox& lhs, const Bbox& rhs); + + static Bbox bbox(const Point& p); + static Bbox bbox(const std::pair& circle); + + Bbox getBbox() const; + + static Bbox viewportByBbox(const Bbox& bbox); + + void drawAll(); + void drawGrid(const Bbox& bbox); + + std::vector requests_; + + DrawingEngine* engine_; + Bbox bbox_; + int requestId_ = 0; + bool gridEnabled_ = true; +}; + +template +void Drawer::point(const P& p_) { + Point p = extractCoords(p_); + bbox_ = unite(bbox_ , bbox(Point(p.x, p.y))); + requests_.push_back([p](DrawingEngine* engine) { + engine->drawPoint(p.x, p.y); + }); +} + +template +void Drawer::point(T x, T y) { + point(Point(x, y)); +} + +template +void Drawer::circle(const P& p_, double radius) { + Point p = extractCoords(p_); + bbox_ = unite(bbox_ , bbox({Point(p.x, p.y), radius})); + requests_.push_back([p, radius](DrawingEngine* engine) { + engine->drawCircle(p.x, p.y, radius); + }); +} + +template +void Drawer::circle(T x, T y, double radius) { + circle(Point(x, y), radius); +} + +template +void Drawer::segment(const P& p1_, const P& p2_) { + Point p1 = extractCoords(p1_); + Point p2 = extractCoords(p2_); + bbox_ = unite(bbox_ , bbox(Point(p1.x, p1.y))); + bbox_ = unite(bbox_ , bbox(Point(p2.x, p2.y))); + requests_.push_back([p1, p2](DrawingEngine* engine) { + engine->drawSegment(p1.x, p1.y, p2.x, p2.y); + }); +} + +template +void Drawer::segment(T x1, T y1, T x2, T y2) { + segment(Point(x1, y1), Point(x2, y2)); +} + +template +void Drawer::polygon(const std::vector

& points) { + for (const auto& p: points) { + bbox_ = unite(bbox_, bbox(extractCoords(p))); + } + + requests_.push_back([points, this](DrawingEngine* engine) { + std::vector> enginePoints; + for (const auto& p: points) { + Point pt = extractCoords(p); + enginePoints.emplace_back(pt.x, pt.y); + } + engine->drawPolygon(enginePoints); + }); +} + +template +void Drawer::polygon(std::initializer_list

points) { + polygon(std::vector

(points.begin(), points.end())); +} + +#ifndef JNGEN_DECLARE_ONLY + +Drawer::Drawer() : bbox_(emptyBbox()) { + setFill(""); + setStroke("black"); +} + +void Drawer::setWidth(double width) { + requests_.push_back([width](DrawingEngine* engine) { + engine->setWidth(width); + }); +} + +void Drawer::setColor(const std::string& color) { + setStroke(color); + setFill(color); +} + +void Drawer::setStroke(const std::string& color) { + requests_.push_back([color](DrawingEngine* engine) { + engine->setStroke(color); + }); +} + +void Drawer::setFill(const std::string& color) { + requests_.push_back([color](DrawingEngine* engine) { + engine->setFill(color); + }); +} + +void Drawer::setOpacity(double opacity) { + requests_.push_back([opacity](DrawingEngine* engine) { + engine->setOpacity(opacity); + }); +} + +Drawer::Bbox Drawer::emptyBbox() { + const static double inf = 1e18; + return { Point{inf, inf}, Point{-inf, -inf} }; +} + +Drawer::Bbox Drawer::unite(const Bbox& lhs, const Bbox& rhs) { + return Bbox{ + Point{ + std::min(lhs.first.x, rhs.first.x), + std::min(lhs.first.y, rhs.first.y)}, + Point{ + std::max(lhs.second.x, rhs.second.x), + std::max(lhs.second.y, rhs.second.y)} + }; +} + +Drawer::Bbox Drawer::bbox(const Point& p) { + return {p, p}; +} + +Drawer::Bbox Drawer::bbox(const std::pair& circle) { + Point p; + double radius; + std::tie(p, radius) = circle; + return { + Point{p.x - radius, p.y - radius}, + Point{p.x + radius, p.y + radius} + }; +} + +/* +Given a bbox of points, returns a bbox with following properties: + - at least 5% margin at each side is blank + - side lengths differ by at most 1.6 + - side length is at least 10 + - if it is possible to include (0, 0), include it explicitly + */ +Drawer::Bbox Drawer::viewportByBbox(const Bbox& bbox) { + constexpr static double MIN_SIZE = 10.0; + constexpr static double MAX_RATIO = 1.6; + constexpr static double MARGIN_RATIO = 0.05; + constexpr static double MAX_RELATIVE_DISTANCE_TO_ZERO = 0.2; + + double lx = bbox.first.x; + double rx = bbox.second.x; + double ly = bbox.first.y; + double ry = bbox.second.y; + + auto extendToSize = [&](double& l, double &r, double size) { + double shift = (size - (r - l)) / 2; + l -= shift; + r += shift; + }; + + auto extendInterval = [&](double& l, double &r) { + if (r - l < MIN_SIZE) { + if (l >= -1e-9 && r < MIN_SIZE) { + l = 0; + r = MIN_SIZE; + + } else if (r <= 1e-9 && l >= -MIN_SIZE) { + l = -MIN_SIZE; + r = 0; + } else { + extendToSize(l, r, MIN_SIZE); + } + } + + if ((l > 0 || r < 0) && std::min(std::abs(l), std::abs(r)) <= + (r - l) * MAX_RELATIVE_DISTANCE_TO_ZERO) + { + if (l > 0) { + l = 0; + } else { + r = 0; + } + } + + double margin = (r - l) * MARGIN_RATIO; + l -= margin; + r += margin; + }; + + extendInterval(lx, rx); + extendInterval(ly, ry); + + if ((rx - lx) / (ry - ly) > MAX_RATIO) { + extendToSize(ly, ry, (rx - lx) / MAX_RATIO); + } else if ((ry - ly) / (rx - lx) > MAX_RATIO) { + extendToSize(lx, rx, (ry - ly) / MAX_RATIO); + } + + return { Point(lx, ly), Point(rx, ry) }; +} + +void Drawer::drawAll() { + for (const auto& request: requests_) { + request(engine_); + } +} + +void Drawer::drawGrid(const Bbox& bbox) { + const static std::vector STEP_DELTA = {20, 25, 20}; + // Step goes like 1, 2, 5, 10, 20, 50, 100, ... + constexpr static int SMALL_IN_BIG = 5; + constexpr static int THRESHOLD = 8; + constexpr static int MAX_SPREAD_TO_DRAW_ALL_TICKS = 13; + constexpr static double TEXT_OFFSET_RATIO = 0.01; + + auto savedState = engine_->saveState(); + + int step = 5; + double spread = std::min( + bbox.second.x - bbox.first.x, + bbox.second.y - bbox.first.y); + size_t deltaPos = 2; + while (spread / step > THRESHOLD) { + step = step * STEP_DELTA[deltaPos] / 10; + if (++deltaPos == STEP_DELTA.size()) { + deltaPos = 0; + } + } + + engine_->setWidth(0.5); + engine_->setStroke("lightgrey"); + + double smallStep = 1.0 * step / SMALL_IN_BIG; + + for ( + double tick = std::ceil(bbox.first.x / smallStep) * smallStep; + tick < bbox.second.x; + tick += smallStep) + { + if (std::lround(tick) % step != 0) { + engine_->drawSegment(tick, bbox.first.y, tick, bbox.second.y); + } + } + + for ( + double tick = std::ceil(bbox.first.y / smallStep) * smallStep; + tick < bbox.second.y; + tick += smallStep) + { + if (std::lround(tick) % step != 0) { + engine_->drawSegment(bbox.first.x, tick, bbox.second.x, tick); + } + } + + engine_->setWidth(0.75); + engine_->setStroke("grey"); + + for ( + double tick = std::ceil(bbox.first.x / step) * step; + tick < bbox.second.x; + tick += step) + { + engine_->drawSegment(tick, bbox.first.y, tick, bbox.second.y); + } + + for ( + double tick = std::ceil(bbox.first.y / step) * step; + tick < bbox.second.y; + tick += step) + { + engine_->drawSegment(bbox.first.x, tick, bbox.second.x, tick); + } + + const double textOffsetX = + (bbox.second.x - bbox.first.x) * TEXT_OFFSET_RATIO; + const double textOffsetY = + (bbox.second.y - bbox.first.y) * TEXT_OFFSET_RATIO; + + auto format = [](double x) { + static char buf[10]; + std::sprintf(buf, "%d", int(std::lround(x))); + return std::string(buf); + }; + + if (spread < MAX_SPREAD_TO_DRAW_ALL_TICKS) { + step = 1; + } + + for ( + double tick = std::ceil(bbox.first.y / step) * step; + tick < bbox.second.y; + tick += step) + { + engine_->drawText( + bbox.first.x + textOffsetX, tick + textOffsetX, format(tick)); + } + + for ( + double tick = std::ceil(bbox.first.x / step) * step; + tick < bbox.second.x; + tick += step) + { + engine_->drawText( + tick + textOffsetY, bbox.first.y + textOffsetY, format(tick)); + } + + + if (spread <= MAX_SPREAD_TO_DRAW_ALL_TICKS) { + step = 1; + } + + engine_->restoreState(savedState); +} + +void Drawer::dumpSvg(const std::string& filename) { + if (requests_.empty()) { + return; + } + + auto bbox = bbox_; + auto viewport = viewportByBbox(bbox); + std::unique_ptr svgEngine(new SvgEngine( + viewport.first.x, viewport.first.y, + viewport.second.x, viewport.second.y)); + + engine_ = svgEngine.get(); + if (gridEnabled_) { + drawGrid(viewport); + } + drawAll(); + + std::string svg = svgEngine->serialize(); + + std::ofstream out(filename); + out << svg; + out.close(); +} + +#endif // JNGEN_DECLARE_ONLY + +}} // namespace jngen::drawing + +using jngen::drawing::Drawer; +using jngen::drawing::Color; + +#include +#include + +namespace jngen { + +class Dsu { +public: + int getRoot(int x); + + bool unite(int x, int y); + + bool isConnected() const { return components <= 1; } + + int numComponents() const { return components; } + + void extend(size_t size); + +private: + std::vector parent; + std::vector rank; + + int components = 0; +}; + +#ifndef JNGEN_DECLARE_ONLY + +int Dsu::getRoot(int x) { + extend(x); + + return parent[x] == x ? x : (parent[x] = getRoot(parent[x])); +} + +bool Dsu::unite(int x, int y) { + extend(std::max(x, y) + 1); + + x = getRoot(x); + y = getRoot(y); + if (x == y) { + return false; + } + + if (rank[x] > rank[y]) { + std::swap(x, y); + } + if (rank[y] == rank[x]) { + ++rank[y]; + } + parent[x] = y; + + --components; + + return true; +} + +void Dsu::extend(size_t x) { + size_t last = parent.size() - 1; + while (parent.size() < x) { + ++components; + parent.push_back(++last); + rank.push_back(0); + } +} + +#endif // JNGEN_DECLARE_ONLY + +} // namespace jngen + + +namespace jngen { +namespace impl { + +// Generated with util/generate_prime_rehash_policy.cpp +// Necessary for anti-unordered_set test. +extern const unsigned int primeList[] +#ifndef JNGEN_DECLARE_ONLY += { +2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, +71, 73, 79, 83, 89, 97, 103, 109, 113, 127, 137, 139, 149, 157, 167, 179, +193, 199, 211, 227, 241, 257, 277, 293, 313, 337, 359, 383, 409, 439, +467, 503, 541, 577, 619, 661, 709, 761, 823, 887, 953, 1031, 1109, 1193, +1289, 1381, 1493, 1613, 1741, 1879, 2029, 2179, 2357, 2549, 2753, 2971, +3209, 3469, 3739, 4027, 4349, 4703, 5087, 5503, 5953, 6427, 6949, 7517, +8123, 8783, 9497, 10273, 11113, 12011, 12983, 14033, 15173, 16411, 17749, +19183, 20753, 22447, 24281, 26267, 28411, 30727, 33223, 35933, 38873, +42043, 45481, 49201, 53201, 57557, 62233, 67307, 72817, 78779, 85229, +92203, 99733, 107897, 116731, 126271, 136607, 147793, 159871, 172933, +187091, 202409, 218971, 236897, 256279, 277261, 299951, 324503, 351061, +379787, 410857, 444487, 480881, 520241, 562841, 608903, 658753, 712697, +771049, 834181, 902483, 976369, 1056323, 1142821, 1236397, 1337629, 1447153, +1565659, 1693859, 1832561, 1982627, 2144977, 2320627, 2510653, 2716249, +2938679, 3179303, 3439651, 3721303, 4026031, 4355707, 4712381, 5098259, +5515729, 5967347, 6456007, 6984629, 7556579, 8175383, 8844859, 9569143, +10352717, 11200489 +} +#endif // JNGEN_DECLARE_ONLY +; + +} // namespace impl +} // namespace jngen + +#include + +namespace jngen { + +class Graph; + +namespace graph_detail { + +class GraphRandom; + +struct Traits { + int n; + int m; + bool directed = false; + bool acyclic = false; + bool allowLoops = false; + bool allowMulti = false; + bool allowAntiparallel = false; + bool connected = false; + + Traits() {} + explicit Traits(int n) : n(n) {} + Traits(int n, int m) : n(n), m(m) {} +}; + +class BuilderProxy { +public: + BuilderProxy( + Traits traits, + std::function builder) : + traits_(traits), + builder_(builder) + { } + + Graph g() const; + + operator Graph() const; + + BuilderProxy& allowLoops(bool value = true) { + traits_.allowLoops = value; + return *this; + } + + BuilderProxy& allowMulti(bool value = true) { + traits_.allowMulti = value; + return *this; + } + + BuilderProxy& allowAntiparallel(bool value = true) { + traits_.allowAntiparallel = value; + return *this; + } + + BuilderProxy& connected(bool value = true) { + traits_.connected = value; + return *this; + } + + BuilderProxy& directed(bool value = true) { + traits_.directed = value; + return *this; + } + + BuilderProxy& acyclic(bool value = true) { + traits_.acyclic = value; + return *this; + } + +private: + Traits traits_; + std::function builder_; +}; + +} // namespace graph_detail + +} // namespace jngen + + +#include +#include +#include +#include +#include + +namespace jngen { + +template +struct Hash; + +namespace impl { + +inline void hashCombine(uint64_t& h, uint64_t k) { + const uint64_t m = 0xc6a4a7935bd1e995; + const int r = 47; + + k *= m; + k ^= k >> r; + k *= m; + + h ^= k; + h *= m; + + h += 0xe6546b64; +} + +template +void hashCombine(uint64_t& h, Iterator begin, Iterator end) { + Hash::value_type> hash; + while (begin != end) { + hashCombine(h, hash(*begin++)); + } +} + +} // namespace impl + +template +struct Hash< + T, + enable_if_t::value>> +{ + uint64_t operator()(const T& t) const { + uint64_t h = 0; + impl::hashCombine(h, t); + return h; + } +}; + +#define JNGEN_DEFINE_STD_HASH(Type)\ +namespace std {\ +template<>\ +struct hash {\ + size_t operator()(const Type& value) const {\ + return jngen::Hash{}(value);\ + }\ +};\ +} + +#define JNGEN_DEFINE_STD_HASH_TEMPLATE(T, Type)\ +namespace std {\ +template\ +struct hash {\ + size_t operator()(const Type& value) const {\ + return jngen::Hash{}(value);\ + }\ +};\ +} + +template +struct Hash> { + uint64_t operator()(const std::vector& elements) const { + uint64_t h = 0; + impl::hashCombine(h, elements.size()); + impl::hashCombine(h, elements.begin(), elements.end()); + return h; + } +}; + +template +struct Hash> { + uint64_t operator()(const std::pair& value) const { + uint64_t h = 0; + impl::hashCombine(h, Hash{}(value.first)); + impl::hashCombine(h, Hash{}(value.second)); + return h; + } +}; + +} // namespace jngen + +JNGEN_DEFINE_STD_HASH_TEMPLATE(T, std::vector); + +namespace std { +template +struct hash> { + size_t operator()(const std::pair& value) const { + return jngen::Hash>{}(value); + } +}; +} // namespace std + + +#include +#include +#include +#include +#include +#include +#include + +// TODO: adequate error messages + +namespace jngen { + +class Pattern { + friend class Parser; +public: + Pattern() : isOrPattern(false), min(1), max(1) {} + Pattern(const std::string& s); + + std::string next(std::function&& rnd) const; + +private: + Pattern(Pattern p, std::pair quantity); + + Pattern(std::vector chars, std::pair quantity); + + std::vector chars; + std::vector children; + bool isOrPattern; + int min; + int max; + + static std::map cachedPatterns_; +}; + +class Parser { +public: + Pattern parse(const std::string& s) { + this->s = s; + pos = 0; + return parsePattern(); + } + +private: + static bool isControl(char c); + + static int control(int c); + + int next(); + + int peek() const; + + int peekAndMove(size_t& newPos) const; + + // TODO: catch overflows + int readInt(); + + std::pair parseRange(); + + std::pair tryParseQuantity(); + + std::vector parseBlock(); + + Pattern parsePattern(); + + std::string s; + size_t pos; +}; + +} // namespace jngen + +#ifndef JNGEN_DECLARE_ONLY +#define JNGEN_INCLUDE_PATTERN_INL_H +#ifndef JNGEN_INCLUDE_PATTERN_INL_H +#error File "pattern_inl.h" must not be included directly. +#endif + +namespace jngen { + +Pattern::Pattern(const std::string& s) { + auto iter = cachedPatterns_.find(s); + if (iter != cachedPatterns_.end()) { + *this = iter->second; + return; + } + *this = Parser().parse(s); + cachedPatterns_[s] = *this; +} + +Pattern::Pattern(Pattern p, std::pair quantity) : + isOrPattern(false), + min(quantity.first), + max(quantity.second) +{ + children.push_back(std::move(p)); +} + +Pattern::Pattern(std::vector chars, std::pair quantity) : + chars(std::move(chars)), + isOrPattern(false), + min(quantity.first), + max(quantity.second) +{ } + +std::map Pattern::cachedPatterns_; + +std::string Pattern::next(std::function&& rnd) const { + if (isOrPattern) { + ENSURE(!children.empty()); + return children[rnd(children.size())].next(std::move(rnd)); + } + + ENSURE( (!!chars.empty()) ^ (!!children.empty()) ); + + int count; + if (min == max) { + count = min; + } else { + count = min + rnd(max - min + 1); + } + + std::string result; + for (int i = 0; i < count; ++i) { + if (!children.empty()) { + for (const Pattern& p: children) { + result += p.next(std::move(rnd)); + } + } else { + result += chars[rnd(chars.size())]; + } + } + + return result; +} + +bool Parser::isControl(char c) { + static const std::string CONTROL_CHARS = "()[]{}|?"; + return CONTROL_CHARS.find(c) != std::string::npos; +} + +int Parser::control(int c) { + return c >> 8; +} + +int Parser::next() { + size_t newPos; + int result = peekAndMove(newPos); + pos = newPos; + return result; +} + +int Parser::peek() const { + size_t dummy; + return peekAndMove(dummy); +} + +int Parser::peekAndMove(size_t& newPos) const { + newPos = pos; + if (pos == s.size()) { + return -1; + } + if (s[pos] == '\\') { + ensure( + pos+1 < s.size(), + "Backslash at the end of the pattern is illegal"); + newPos += 2; + return s[pos+1]; + } + + ++newPos; + int ret = s[pos]; + return isControl(ret) ? (ret << 8) : ret; +} + +// TODO: catch overflows +int Parser::readInt() { + ENSURE(std::isdigit(peek())); + + int res = 0; + while (std::isdigit(peek())) { + res = res * 10 + next() - '0'; + } + return res; +} + +std::pair Parser::parseRange() { + ENSURE(control(next()) == '{'); + + int from = readInt(); + + int nxt = next(); + if (control(nxt) == '}') { + return {from, from}; + } else if (nxt == ',' || nxt == '-') { + int to = readInt(); + ENSURE(control(next()) == '}'); + return {from, to}; + } else { + ensure(false, "cannot parse character range"); + } +} + +std::pair Parser::tryParseQuantity() { + std::pair quantity = {1, 1}; + + int qchar = peek(); + if (control(qchar) == '?') { + quantity = {0, 1}; + next(); + } else if (control(qchar) == '{') { + quantity = parseRange(); + } + + return quantity; +} + +std::vector Parser::parseBlock() { + std::vector allowed; + char last = -1; + bool inRange = false; + while (control(peek()) != ']') { + char c = next(); // buggy on cases like [a-}] + ENSURE(c != -1); + + if (c == '-') { + ensure(!inRange, "invalid pattern"); + inRange = true; + } else if (inRange) { + ensure(c >= last, "invalid pattern"); + for (char i = last; i <= c; ++i) { + allowed.push_back(i); + } + inRange = false; + last = -1; + } else { + if (last != -1) { + allowed.push_back(last); + } + last = c; + } + } + + ENSURE(control(next()) == ']'); + + ENSURE(!inRange); + if (last != -1) { + allowed.push_back(last); + } + + std::sort(allowed.begin(), allowed.end()); + return allowed; +} + +Pattern Parser::parsePattern() { + std::vector orPatterns; + Pattern cur; + + while (true) { + int nxt = next(); + if (nxt == -1 || control(nxt) == ')') { + break; + } else if (control(nxt) == '(') { + Pattern p = parsePattern(); + cur.children.push_back(Pattern(p, tryParseQuantity())); + } else if (control(nxt) == '|') { + orPatterns.emplace_back(); + std::swap(orPatterns.back(), cur); + } else { + std::vector chars; + if (control(nxt) == '[') { + chars = parseBlock(); + } else { + ENSURE(!control(nxt)); + chars = {static_cast(nxt)}; + } + + cur.children.push_back(Pattern(chars, tryParseQuantity())); + } + } + + if (orPatterns.empty()) { + return cur; + } else { + orPatterns.emplace_back(); + std::swap(orPatterns.back(), cur); + + Pattern p; + p.isOrPattern = true; + p.children = orPatterns; + return p; + } +} + +} // namespace jngen +#undef JNGEN_INCLUDE_PATTERN_INL_H +#endif // JNGEN_DECLARE_ONLY + +using jngen::Pattern; + + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +namespace jngen { + +void assertRandomEngineConsistency(); +void assertIntegerSizes(); +void registerGen(int argc, char *argv[], int version = 1); + +class Random; + +class BaseTypedRandom { +public: + BaseTypedRandom(Random& random) : random(random) {} + +protected: + Random& random; +}; + +template +struct TypedRandom; + +uint64_t maskForBound(uint64_t bound); + +template +Result uniformRandom(Result bound, Random& random, Source (Random::*method)()) { + static_assert(sizeof(Result) <= sizeof(Source), + "uniformRandom: Source type must be at least as large as Result type"); +#ifdef JNGEN_FAST_RANDOM + return (random.*method)() % bound; +#else + Source mask = maskForBound(bound); + while (true) { + Source outcome = (random.*method)() & mask; + if (outcome < static_cast(bound)) { + return outcome; + } + } +#endif +} + +class Random { +public: + Random() { + assertRandomEngineConsistency(); + assertIntegerSizes(); + std::vector seedSeq; + // 4 random_device calls is enough for everyone + std::random_device rd; + for (size_t i = 0; i < 4; ++i) { + seedSeq.push_back(rd()); + } + seed(seedSeq); + + } + + void seed(uint32_t val); + void seed(const std::vector& seed); + + uint32_t next(); + uint64_t next64(); + double nextf(); + + int next(int n); + long long next(long long n); + size_t next(size_t n); + double next(double n); + + int next(int l, int r); + long long next(long long l, long long r); + size_t next(size_t l, size_t r); + double next(double l, double r); + + int wnext(int n, int w); + long long wnext(long long n, int w); + size_t wnext(size_t n, int w); + double wnext(double n, int w); + + int wnext(int l, int r, int w); + long long wnext(long long l, long long r, int w); + size_t wnext(size_t l, size_t r, int w); + double wnext(double l, double r, int w); + + std::string next(const std::string& pattern); + + template + std::string next(const std::string& pattern, Args... args) { + return next(format(pattern, args...)); + } + + template + T tnext(Args... args) { + return TypedRandom{*this}.next(args...); + } + + template + std::pair nextp(Args... args) { + return tnext>(args...); + } + + template + auto choice(Iterator begin, Iterator end) + -> typename std::iterator_traits::value_type + { + auto length = std::distance(begin, end); + ensure(length > 0, "Cannot select from a range of negative length"); + size_t index = tnext(length); + std::advance(begin, index); + return *begin; + } + + template + typename Container::value_type choice(const Container& container) { + ensure(!container.empty(), "Cannot select from an empty container"); + return choice(container.begin(), container.end()); + } + + template + T choice(const std::initializer_list& ilist) { + return choice(ilist.begin(), ilist.end()); + } + + template + size_t nextByDistribution(const std::vector& distribution) { + ensure(!distribution.empty(), "Cannot sample by empty distribution"); + Numeric sum = std::accumulate( + distribution.begin(), distribution.end(), Numeric(0)); + auto x = next(sum); + for (size_t i = 0; i < distribution.size(); ++i) { + if (x < distribution[i]) { + return i; + } + x -= distribution[i]; + } + return distribution.size() - 1; + } + + template + size_t nextByDistribution(const std::initializer_list& ilist) { + // TODO: looks suboptimal + return nextByDistribution(std::vector(ilist)); + } + +private: + template + T smallWnext(int w, Args... args) { + ENSURE(std::abs(w) <= WNEXT_LIMIT); + T result = next(args...); + while (w > 0) { + result = std::max(result, next(args...)); + --w; + } + while (w < 0) { + result = std::min(result, next(args...)); + ++w; + } + return result; + } + + double realWnext(int w) { + if (w == 0) { + return nextf(); + } else if (w > 0) { + return std::pow(nextf(), 1.0 / (w + 1)); + } else { + return 1.0 - std::pow(nextf(), 1.0 / (-w + 1)); + } + } + + std::mt19937 randomEngine_; + constexpr static int WNEXT_LIMIT = 8; +}; + +JNGEN_EXTERN Random rnd; + +template<> +struct TypedRandom : public BaseTypedRandom { + using BaseTypedRandom::BaseTypedRandom; + int next(int n) { return random.next(n); } + int next(int l, int r) { return random.next(l, r); } +}; + +template<> +struct TypedRandom : public BaseTypedRandom { + using BaseTypedRandom::BaseTypedRandom; + double next(double n) { return random.next(n); } + double next(double l, double r) { return random.next(l, r); } +}; + +template<> +struct TypedRandom : public BaseTypedRandom { + using BaseTypedRandom::BaseTypedRandom; + double next(double n) { return random.next(n); } + double next(double l, double r) { return random.next(l, r); } +}; + +template<> +struct TypedRandom : public BaseTypedRandom { + using BaseTypedRandom::BaseTypedRandom; + long long next(long long n) { return random.next(n); } + long long next(long long l, long long r) { return random.next(l, r); } +}; + +template<> +struct TypedRandom : public BaseTypedRandom { + using BaseTypedRandom::BaseTypedRandom; + size_t next(size_t n) { return random.next(n); } + size_t next(size_t l, size_t r) { return random.next(l, r); } +}; + +template<> +struct TypedRandom : public BaseTypedRandom { + using BaseTypedRandom::BaseTypedRandom; + char next(char n) { return random.next(n); } + char next(char l, char r) { return random.next(l, r); } +}; + +template +struct TypedRandom : public BaseTypedRandom { + using BaseTypedRandom::BaseTypedRandom; + template + T next(Args... args) { return random.next(args...); } +}; + +struct RandomPairTraits { + const bool ordered; + const bool distinct; +}; + +#ifdef JNGEN_DECLARE_ONLY +extern RandomPairTraits opair, dpair, odpair, dopair; +#else +RandomPairTraits opair{true, false}; +RandomPairTraits dpair{false, true}; +RandomPairTraits odpair{true, true}; +RandomPairTraits dopair{true, true}; +#endif + +template<> +struct TypedRandom> : public BaseTypedRandom { + using BaseTypedRandom::BaseTypedRandom; + + std::pair next(int n) { + return next(n, {false, false}); + } + std::pair next(int l, int r) { + return next(l, r, {false, false}); + } + + std::pair next(int n, RandomPairTraits traits) { + int first = rnd.next(n); + int second; + do { + second = rnd.next(n); + } while (traits.distinct && first == second); + if (traits.ordered && first > second) { + std::swap(first, second); + } + return {first, second}; + } + std::pair next(int l, int r, RandomPairTraits traits) { + auto res = next(r-l+1, traits); + res.first += l; + res.second += l; + return res; + } + +private: + std::pair ordered(std::pair pair) const { + if (pair.first > pair.second) { + std::swap(pair.first, pair.second); + } + return pair; + } +}; + +} // namespace jngen + +using jngen::Random; + +using jngen::rnd; +using jngen::opair; +using jngen::dpair; +using jngen::dopair; +using jngen::odpair; + +using jngen::registerGen; + +#ifndef JNGEN_DECLARE_ONLY +#define JNGEN_INCLUDE_RANDOM_INL_H +#ifndef JNGEN_INCLUDE_RANDOM_INL_H +#error File "random_inl.h" must not be included directly. +#endif + +namespace jngen { + +void assertRandomEngineConsistency() { + std::mt19937 engine(1234); + ENSURE(engine() == 822569775, + "std::mt19937 doesn't conform to the C++ standard"); + ENSURE(engine() == 2137449171, + "std::mt19937 doesn't conform to the C++ standard"); + ENSURE(engine() == 2671936806, + "std::mt19937 doesn't conform to the C++ standard"); +} + +void assertIntegerSizes() { + static_assert( + std::numeric_limits::max() == 255, + "max(unsigned char) != 255"); + static_assert(sizeof(int) == 4, "sizeof(int) != 4"); + static_assert(sizeof(long long) == 8, "sizeof(long long) != 8"); + static_assert( + sizeof(size_t) == 4 || sizeof(size_t) == 8, + "sizeof(size_t) is neither 4 nor 8"); + static_assert( + sizeof(std::size_t) == sizeof(size_t), + "sizeof(size_t) != sizeof(std::size_t)"); +} + +void registerGen(int argc, char *argv[], int version) { + (void)version; // unused, only for testlib.h compatibility + + std::vector seed; + for (int i = 1; i < argc; ++i) { + int startPosition = seed.size(); + seed.emplace_back(); + for (char *s = argv[i]; *s; ++s) { + ++seed[startPosition]; + seed.push_back(*s); + } + } + rnd.seed(seed); +} + +uint64_t maskForBound(uint64_t bound) { + --bound; + uint64_t mask = ~0; + if ((mask >> 32) >= bound) mask >>= 32; + if ((mask >> 16) >= bound) mask >>= 16; + if ((mask >> 8 ) >= bound) mask >>= 8 ; + if ((mask >> 4 ) >= bound) mask >>= 4 ; + if ((mask >> 2 ) >= bound) mask >>= 2 ; + if ((mask >> 1 ) >= bound) mask >>= 1 ; + return mask; +} + +void Random::seed(uint32_t val) { + randomEngine_.seed(val); +} + +void Random::seed(const std::vector& seed) { + std::seed_seq seq(seed.begin(), seed.end()); + randomEngine_.seed(seq); +} + +uint32_t Random::next() { + return randomEngine_(); +} + +uint64_t Random::next64() { + uint64_t a = next(); + uint64_t b = next(); + return (a << 32) ^ b; +} + +double Random::nextf() { + return (double)randomEngine_() / randomEngine_.max(); +} + +int Random::next(int n) { + ensure(n > 0); + return uniformRandom(n, *this, (uint32_t (Random::*)())&Random::next); +} + +long long Random::next(long long n) { + ensure(n > 0); + return uniformRandom(n, *this, &Random::next64); +} + +size_t Random::next(size_t n) { + ensure(n > 0); + return uniformRandom(n, *this, &Random::next64); +} + +double Random::next(double n) { + ensure(n >= 0); + return nextf() * n; +} + +int Random::next(int l, int r) { + ensure(l <= r); + uint32_t n = static_cast(r) - l + 1; + return l + uniformRandom( + n, *this, (uint32_t (Random::*)())&Random::next); +} + +long long Random::next(long long l, long long r) { + ensure(l <= r); + uint64_t n = static_cast(r) - l + 1; + return l + uniformRandom(n, *this, &Random::next64); +} + +size_t Random::next(size_t l, size_t r) { + ensure(l <= r); + uint64_t n = static_cast(r) - l + 1; + return l + uniformRandom(n, *this, &Random::next64); +} + +double Random::next(double l, double r) { + ensure(l <= r); + return l + next(r-l); +} + +int Random::wnext(int n, int w) { + ensure(n > 0); + if (std::abs(w) <= WNEXT_LIMIT) { + return smallWnext(w, n); + } else { + double t = realWnext(w); + return n * t; + } +} + +long long Random::wnext(long long n, int w) { + ensure(n > 0); + if (std::abs(w) <= WNEXT_LIMIT) { + return smallWnext(w, n); + } else { + return n * realWnext(w); + } +} + +size_t Random::wnext(size_t n, int w) { + ensure(n > 0); + if (std::abs(w) <= WNEXT_LIMIT) { + return smallWnext(w, n); + } else { + return n * realWnext(w); + } +} + +double Random::wnext(double n, int w) { + ensure(n >= 0); + if (std::abs(w) <= WNEXT_LIMIT) { + return smallWnext(w, n); + } else { + return realWnext(w) * n; + } +} + +int Random::wnext(int l, int r, int w) { + ensure(l <= r); + if (std::abs(w) <= WNEXT_LIMIT) { + return smallWnext(w, l, r); + } else { + uint32_t n = static_cast(r) - l + 1; + return l + static_cast(n * realWnext(w)); + } +} + +long long Random::wnext(long long l, long long r, int w) { + ensure(l <= r); + if (std::abs(w) <= WNEXT_LIMIT) { + return smallWnext(w, l, r); + } else { + uint64_t n = static_cast(r) - l + 1; + return l + static_cast(n * realWnext(w)); + } +} + +size_t Random::wnext(size_t l, size_t r, int w) { + ensure(l <= r); + if (std::abs(w) <= WNEXT_LIMIT) { + return smallWnext(w, l, r); + } else { + uint64_t n = static_cast(r) - l + 1; + return l + static_cast(n * realWnext(w)); + } +} + +double Random::wnext(double l, double r, int w) { + ensure(l <= r); + if (std::abs(w) <= WNEXT_LIMIT) { + return smallWnext(w, l, r); + } else { + return realWnext(w) * (r - l) + l; + } +} + +std::string Random::next(const std::string& pattern) { + return Pattern(pattern).next([this](int n) { return next(n); }); +} + +} // namespace jngen +#undef JNGEN_INCLUDE_RANDOM_INL_H +#endif // JNGEN_DECLARE_ONLY + + +#include +#include +#include + +namespace jngen { +namespace options { + +struct Range { + int first; + int last; + int step; + + Range(int first, int last, int step = 1) : + first(first), + last(last), + step(step) + { + ensure(first <= last); + ensure(step > 0); + } + + class iterator { + public: + using iterator_category = std::forward_iterator_tag; + using value_type = int; + using reference = const int&; + using pointer = const int*; + using difference_type = int; + + iterator(int value, int step, int last) : + value_(value), + step_(step), + last_(last) + { } + + iterator& operator++() { + ensure(value_ <= last_, "Cannot increment past-the-end iterator"); + value_ += step_; + return *this; + } + + iterator operator++(int) { + iterator copy = *this; + ++*this; + return copy; + } + + int operator*() const { + ensure(value_ <= last_, "Cannot dereference past-the-end iterator"); + return value_; + } + + bool operator==(const iterator& other) const { + if (value_ <= last_) { + return value_ == other.value_; + } + return other.value_ > last_; + } + + bool operator!=(const iterator& other) const { + return !(*this == other); + } + + private: + int value_; + int step_; + int last_; + }; + + iterator begin() const { + return { first, step, last }; + } + + iterator end() const { + return { last + 1, step, last }; + } + + static Range fromString(std::string s) { + for (char& c: s) { + ensure(c != ' ', "No spaces allowed in range description"); + if (c == ':') { + c = ' '; + } + } + + std::istringstream ss(s); + int first = 1; + int last = std::numeric_limits::max() - 1; + int step = 1; + if (!(ss >> first)) { + ensure(false, "Failed to parse range"); + } + if (!(ss >> last)) { + return Range(first, last, step); + } + if (!(ss >> step)) { + return Range(first, last, step); + } + return Range(first, last, step); + } +}; + +} // namespace options +} // namespace jngen + + +#include +#include +#include +#include + +namespace jngen { + +namespace detail { + +template +constexpr bool isValidOptionType() { + return std::is_same::value || + (std::is_arithmetic::value && !std::is_same::value); +} + +template +using StringIfCharPtrElseT = typename std::conditional< + std::is_same::type, const char*>::value || + std::is_same::type, char*>::value, + std::string, + T>::type; + +} // namespace detail + +struct Index { + size_t index; + std::string name; + + Index(size_t index) : index(index) { + if (!config.largeOptionIndices) { + ensure( + index < 32, + "Looks like you called getOpt('c'). Consider using " + "getOpt(\"c\") or set 'config.largeOptionIndices = true' " + "if you indeed have more than 32 options."); + } + } + + Index(const std::string& name) : name(name) { + ensure(!name.empty(), "Variable name cannot be empty"); + } + + bool isNamed() const { + return !name.empty(); + } +}; + +struct VariableMap { + std::vector positional; + std::map named; + + int count(size_t pos) const { + return pos < positional.size(); + } + + int count(const std::string& name) const { + return named.count(name); + } + + std::string operator[](size_t pos) const { + if (!count(pos)) { + return ""; + } + return positional.at(pos); + } + + std::string operator[](const std::string& name) const { + if (!count(name)) { + return ""; + } + return named.at(name); + } + + int count(const Index& index) const { + if (index.isNamed()) { + return count(index.name); + } else { + return count(index.index); + } + } + + std::string operator[](const Index& index) const { + if (index.isNamed()) { + return (*this)[index.name]; + } else { + return (*this)[index.index]; + } + } + + void assertExistence(const Index& index) const { + if (count(index)) { + return; + } + if (index.isNamed()) { + ensure(false, format( + "There is no variable with name '%s'", index.name.c_str())); + } else { + ensure(false, format( + "There is no variable with index %d", index.index)); + } + } + + bool initialized = false; +}; + +template +class PendingVariable { +public: + explicit PendingVariable(std::string value) : + value_(std::move(value)) + { } + + PendingVariable(std::string value, T defaultValue) : + value_(std::move(value)), + default_(std::move(defaultValue)) + { } + + explicit PendingVariable(std::nullptr_t, T defaultValue) : + valid_(false), + default_(std::move(defaultValue)) + { } + + // We need this check in order to make the following work: + // string s = getOpt(0); + // s = getOpt(0); + // Weird things happen if we allow all kind of casts. See + // https://stackoverflow.com/questions/46740341 + template< + typename U, + typename std::enable_if< + detail::isValidOptionType()>::type* = nullptr> + operator U() const + { + if (!valid_) { + return static_cast(default_); + } + + std::istringstream ss(value_); + U t; + if (ss >> t) { + return t; + } else { + ensure( + false, + format( + "Cannot parse option. Raw value: '%s'", + value_.c_str())); + } + } + + // TODO: getOpt operators, like getOpt("n") == 100 + +private: + bool valid_ = true; + std::string value_; + T default_; +}; + +template<> +class PendingVariable { +public: + explicit PendingVariable(std::string value) : + value_(std::move(value)) + { } + + // We need this check in order to make the following work: + // string s = getOpt(0); + // s = getOpt(0); + // Weird things happen if we allow all kind of casts. See + // https://stackoverflow.com/questions/46740341 + template< + typename U, + typename std::enable_if< + detail::isValidOptionType()>::type* = nullptr> + operator U() const + { + std::istringstream ss(value_); + U t; + if (ss >> t) { + return t; + } else { + ensure( + false, + format( + "Cannot parse option. Raw value: '%s'", + value_.c_str())); + } + } + +private: + std::string value_; +}; + +// TODO: think about seed as a last argument +inline VariableMap parseArguments(const std::vector& args) { + VariableMap result; + + auto setNamedVar = [&result]( + const std::string& name, + const std::string& value) + { + ensure( + !result.count(value), + "Named arguments must have distinct names"); + result.named[name] = value; + }; + + std::string pendingVarName; + + for (const std::string& s: args) { + if (s == "-") { + continue; + } + if (s == "--") { + break; + } + + if (s[0] != '-') { + if (!pendingVarName.empty()) { + setNamedVar(pendingVarName, s); + pendingVarName = ""; + } else { + result.positional.push_back(s); + } + continue; + } + + if (!pendingVarName.empty()) { + result.named[pendingVarName] = "1"; + pendingVarName = ""; + } + + std::string name; + std::string value; + bool foundEq = false; + for (char c: s.substr(1)) { + if (!foundEq && c == '=') { + foundEq = true; + } else { + if (foundEq) { + value += c; + } else { + name += c; + } + } + } + if (foundEq) { + setNamedVar(name, value); + } else { + pendingVarName = name; + } + + setNamedVar(name, value); + } + + if (!pendingVarName.empty()) { + result.named[pendingVarName] = "1"; + } + + result.initialized = true; + return result; +} + +JNGEN_EXTERN VariableMap vmap; + +namespace detail { + +inline PendingVariable getOpt(const Index& index) { + ensure( + vmap.initialized, + "parseArgs(args, argv) must be called before getOpt(...)"); + vmap.assertExistence(index); + return PendingVariable(vmap[index]); +} + +template> +PendingVariable getOpt(const Index& index, const T& defaultValue) { + ensure( + vmap.initialized, + "parseArgs(args, argv) must be called before getOpt(...)"); + if (vmap.count(index)) { + return PendingVariable(vmap[index], U{defaultValue}); + } else { + return PendingVariable(nullptr, U{defaultValue}); + } +} + +inline bool hasOpt(const Index& index) { + return vmap.count(index); +} + +template +bool readVariable(const std::string& value, T& var) { + std::istringstream ss(value); + + T t; + if (ss >> t) { + var = t; + return true; + } + return false; +} + +inline int getNamedImpl(std::vector::const_iterator) { return 0; } + +template +int getNamedImpl( + std::vector::const_iterator it, T& var, Args&... args) +{ + T value; + int res = 0; + if (readVariable(vmap[*it], value)) { + var = value; + ++res; + } + res += getNamedImpl(++it, args...); + return res; +} + +inline int getPositionalImpl(size_t) { return 0; } + +template +int getPositionalImpl(size_t index, T& var, Args&... args) { + T value; + int res = 0; + if (readVariable(vmap[index], value)) { + var = value; + ++res; + } + res += getPositionalImpl(index + 1, args...); + return res; +} + +} // namespace detail + +template +int doGetNamed(const std::string& names, Args&... args) { + ensure( + vmap.initialized, + "parseArgs(args, argv) must be called before getNamed(...)"); + + auto namesSplit = util::split(names, ','); + + ENSURE( + namesSplit.size() == sizeof...(args), + "Number of names is not equal to number of variables"); + + return detail::getNamedImpl(namesSplit.begin(), args...); +} + +template +int getPositional(Args&... args) { + ensure( + vmap.initialized, + "parseArgs(args, argv) must be called before getPositional(...)"); + + return detail::getPositionalImpl(0, args...); +} + +inline void parseArgs(int argc, char *argv[]) { + vmap = parseArguments(std::vector(argv + 1, argv + argc)); +} + +inline PendingVariable getOpt(size_t index) { + return detail::getOpt(Index(index)); +} + +inline PendingVariable getOpt(const std::string& name) { + return detail::getOpt(Index(name)); +} + +template> +PendingVariable getOpt(size_t index, const T& defaultValue) { + return detail::getOpt(Index(index), defaultValue); +} + +template> +PendingVariable getOpt(const std::string& name, const T& defaultValue) { + return detail::getOpt(Index(name), defaultValue); +} + +inline bool hasOpt(size_t index) { + return vmap.count(index); +} + +inline bool hasOpt(const std::string& name) { + return vmap.count(name); +} + +inline options::Range parseRange(const std::string& value) { + return options::Range::fromString(value); + +} + +} // namespace jngen + +using jngen::parseArgs; +using jngen::getOpt; +using jngen::hasOpt; +using jngen::parseRange; + +using jngen::getPositional; + +#define getNamed(...) ::jngen::doGetNamed(#__VA_ARGS__, __VA_ARGS__) + + +#include +#include + +namespace jngen { + +template struct PTag : PTag {}; +template<> struct PTag<0> {}; +struct PTagMax : PTag<20> {}; + +struct OutputModifier { + int addition = 0; + bool printN = false; + bool printM = false; + + int printParents; + bool printEdges = true; + bool printWeights = true; + + char sep = ' '; +}; + +JNGEN_EXTERN OutputModifier defaultMod; + +template +class Repr { + friend std::ostream& operator<<(std::ostream& out, const Repr& repr) { + repr.print(out); + return out; + } + + template + friend Repr

repr(const P& t); + + template + friend class ReprProxy; + +protected: + Repr() = delete; + Repr(const Repr&) = default; + Repr& operator=(const Repr&) = default; + Repr(Repr&&) = default; + Repr& operator=(Repr&&) = default; + +public: + Repr(const T& object) : + object_(object), + mod_(defaultMod) + { } + + Repr& add1(bool value = true) { + mod_.addition = value; + return *this; + } + + Repr& printN(bool value = true) { + mod_.printN = value; + return *this; + } + + Repr& printM(bool value = true) { + mod_.printM = value; + return *this; + } + + Repr& printParents(int value = -1) { + mod_.printParents = value; + mod_.printEdges = false; + return *this; + } + + Repr& printEdges(bool value = true) { + mod_.printEdges = value; + if (!value) { + mod_.printParents = -1; + } + return *this; + } + + Repr& printWeights(bool value = true) { + mod_.printWeights = value; + return *this; + } + + Repr& endl(bool value = true) { + mod_.sep = value ? '\n' : ' '; + return *this; + } + +private: + void print(std::ostream& out) const { + printValue(out, object_, mod_, PTagMax{}); + } + + const T& object_; + +protected: + OutputModifier mod_; +}; + +class BaseReprProxy {}; + +template +class ReprProxy : public BaseReprProxy { + friend std::ostream& operator<<(std::ostream& out, const ReprProxy& proxy) { + Repr repr(static_cast(proxy)); + return out << repr; + } + +public: + Repr add1(bool value = true) { + Repr repr(static_cast(*this)); + repr.add1(value); + return repr; + } + + Repr printN(bool value = true) { + Repr repr(static_cast(*this)); + repr.printN(value); + return repr; + } + + Repr printM(bool value = true) { + Repr repr(static_cast(*this)); + repr.printM(value); + return repr; + } + + Repr printParents(int value = -1) { + Repr repr(static_cast(*this)); + repr.printParents(value); + return repr; + } + + Repr printEdges(bool value = true) { + Repr repr(static_cast(*this)); + repr.printEdges(value); + return repr; + } + + Repr printWeights(bool value = true) { + Repr repr(static_cast(*this)); + repr.printWeights(value); + return repr; + } + + Repr endl(bool value = true) { + Repr repr(static_cast(*this)); + repr.endl(value); + return repr; + } + +protected: + ReprProxy() { + static_assert( + std::is_base_of, T>::value, + "ReprProxy must be inherited by T"); + } +}; + +template +Repr repr(const T& t) { + return Repr(t); +} + +class DefaultModSetter : public Repr { + friend DefaultModSetter setMod(); + +private: + DefaultModSetter(int val) : + Repr(val) + { } + +public: + ~DefaultModSetter() { + defaultMod = mod_; + } + + Repr& reset() { + mod_ = OutputModifier(); + return *this; + } +}; + +inline DefaultModSetter setMod() { + static int dummy = 0; + return DefaultModSetter(dummy); +} + +} // namespace jngen + +using jngen::repr; +using jngen::setMod; + + +#include +#include +#include +#include +#include +#include + +namespace jngen { + +namespace detail { + +// TODO: maybe make it more clear SFINAE, like boost::has_left_shift? +// TODO: make these defines namespace independent + +#define JNGEN_DEFINE_FUNCTION_CHECKER(name, expr)\ +template\ +class Has ## name ## Helper: public std::false_type {};\ +\ +template\ +class Has ## name ## Helper : public std::true_type {};\ + +#define JNGEN_HAS_FUNCTION(name)\ + ::jngen::detail::Has ## name ## Helper::value + +JNGEN_DEFINE_FUNCTION_CHECKER( + OstreamMethod, + std::declval().operator<< (std::declval()) +) + +JNGEN_DEFINE_FUNCTION_CHECKER( + OstreamFreeFunction, + std::operator<<(std::declval(), std::declval()) +) + +JNGEN_DEFINE_FUNCTION_CHECKER( + Plus, + T(std::declval() + 1) +) + +JNGEN_DEFINE_FUNCTION_CHECKER( + Container, + std::distance(std::declval().begin(), std::declval().end()) +) + +#define JNGEN_HAS_OSTREAM()\ + (JNGEN_HAS_FUNCTION(OstreamMethod) ||\ + JNGEN_HAS_FUNCTION(OstreamFreeFunction)) + +template +struct VectorDepth { + constexpr static int value = 0; +}; + +template class C> +struct VectorDepth> { + constexpr static int value = + std::is_base_of< + std::vector, + C + >::value ? VectorDepth::value + 1 : 0; +}; + +} // namespace detail + +#define JNGEN_DECLARE_PRINTER(constraint, priority)\ +template\ +auto printValue(\ + std::ostream& out, const T& t, const OutputModifier& mod, PTag)\ + -> enable_if_t + +#define JNGEN_DECLARE_SIMPLE_PRINTER(type, priority)\ +inline void printValue(std::ostream& out, const type& t,\ + const OutputModifier& mod, PTag) + +#define JNGEN_PRINT(value)\ +printValue(out, value, mod, PTagMax{}) + +#define JNGEN_PRINT_NO_MOD(value)\ +printValue(out, value, OutputModifier{}, PTagMax{}) + +JNGEN_DECLARE_PRINTER(!JNGEN_HAS_OSTREAM(), 0) +{ + static bool locked = false; + + ensure( + !locked, + std::string{} + "You are trying to print a type for which " + "operator<< is not defined: " + typeid(T).name()); + + locked = true; + (void)mod; + out << t; + locked = false; +} + +JNGEN_DECLARE_PRINTER(JNGEN_HAS_OSTREAM(), 10) +{ + (void)mod; + out << t; +} + +JNGEN_DECLARE_PRINTER( + JNGEN_HAS_OSTREAM() && JNGEN_HAS_FUNCTION(Plus), 11) +{ + if (std::is_integral::value) { + out << T(t + mod.addition); + } else { + out << t; + } +} + +JNGEN_DECLARE_PRINTER(detail::VectorDepth::value == 1, 3) +{ + if (mod.printN) { + out << t.size() << "\n"; + } + bool first = true; + for (const auto& x: t) { + if (first) { + first = false; + } else { + out << mod.sep; + } + JNGEN_PRINT(x); + } +} + +JNGEN_DECLARE_PRINTER(detail::VectorDepth::value == 1 && + std::tuple_size::value == 2, 4) +{ + if (mod.printN) { + out << t.size() << "\n"; + } + + bool first = true; + for (const auto& x: t) { + if (first) { + first = false; + } else { + out << "\n"; + } + JNGEN_PRINT(x); + } +} + +JNGEN_DECLARE_PRINTER(detail::VectorDepth::value == 2, 4) +{ + if (mod.printN) { + out << t.size() << (mod.printM ? " " : ""); + } + if (mod.printM) { + if (t.empty()) { + out << 0; + } else { + auto size = t[0].size(); + out << size; + for (const auto& vec: t) { + ensure(size == vec.size(), "Size of all matrix elements must " + "be equal if printM is specified"); + } + } + } + + if ((mod.printN || mod.printM) && !t.empty()) { + out << "\n"; + } + + auto tmp = mod; + { + auto mod = tmp; + mod.printN = mod.printM = false; + bool first = true; + for (const auto& x: t) { + if (first) { + first = false; + } else { + out << '\n'; + } + JNGEN_PRINT(x); + } + } +} + +JNGEN_DECLARE_PRINTER(JNGEN_HAS_FUNCTION(Container), 2) +{ + if (mod.printN) { + out << t.size() << "\n"; + } + bool first = true; + for (const auto& x: t) { + if (first) { + first = false; + } else { + out << " "; + } + JNGEN_PRINT(x); + } +} + +JNGEN_DECLARE_PRINTER(JNGEN_HAS_FUNCTION(Container) + && std::tuple_size::value == 2, 3) +{ + if (mod.printN) { + out << t.size() << "\n"; + } + bool first = true; + for (const auto& x: t) { + if (first) { + first = false; + } else { + out << "\n"; + } + JNGEN_PRINT(x); + } +} + +// http://stackoverflow.com/a/19841470/2159939 +#define JNGEN_COMMA , + +template +JNGEN_DECLARE_SIMPLE_PRINTER(std::pair, 3) +{ + JNGEN_PRINT(t.first); + out << " "; + JNGEN_PRINT(t.second); +} + +#undef JNGEN_COMMA + +// Following snippet allows writing +// cout << pair(1, 2) << endl; +// in user code. I have to put it into separate namespace because +// 1) I don't want to 'use' all operator<< from jngen +// 2) I cannot do it in global namespace because JNGEN_HAS_OSTREAM relies +// on that it is in jngen. +namespace namespace_for_fake_operator_ltlt { + +template +auto operator<<(std::ostream& out, const T& t) + -> enable_if_t< + !JNGEN_HAS_OSTREAM() && !std::is_base_of::value, + std::ostream& + > +{ + // not jngen::printValue, because relying on ADL here for printers declared + // later (see, e.g., http://stackoverflow.com/questions/42833134) + printValue(out, t, jngen::defaultMod, jngen::PTagMax{}); + return out; +} + +} // namespace namespace_for_fake_operator_ltlt + +// Calling this operator inside jngen namespace doesn't work without this line. +using namespace jngen::namespace_for_fake_operator_ltlt; + +} // namespace jngen + +using namespace jngen::namespace_for_fake_operator_ltlt; + + +#include +#include +#include + +namespace jngen { + +// TODO: deprecate random_shuffle as done in testlib.h + +template +void shuffle(Iterator begin, Iterator end) { + ensure(end >= begin, "Cannot shuffle range of negative length"); + size_t size = end - begin; + for (size_t i = 1; i < size; ++i) { + std::swap(*(begin + i), *(begin + rnd.next(i + 1))); + } +} + +template +auto choice(Iterator begin, Iterator end) + -> typename std::iterator_traits::value_type +{ + return rnd.choice(begin, end); +} + +template +typename Container::value_type choice(const Container& container) { + return rnd.choice(container); +} + +template +T choice(std::initializer_list ilist) { + return choice(ilist.begin(), ilist.end()); +} + +namespace detail { + +template +typename Collection2D::value_type interleave(const Collection2D& collection) { + std::vector sizes; + for (const auto& c: collection) { + sizes.push_back(c.size()); + } + size_t size = std::accumulate(sizes.begin(), sizes.end(), 0u); + + typename Collection2D::value_type result; + while (size > 0) { + size_t id = rnd.nextByDistribution(sizes); + result.emplace_back(collection[id][collection[id].size() - sizes[id]]); + --sizes[id]; + + --size; + } + + return result; +} + +} // namespace detail + +template +typename Collection2D::value_type interleave(const Collection2D& collection) { + return detail::interleave(collection); +} + +template +Collection interleave(const std::initializer_list& ilist) { + return detail::interleave>(ilist); +} + +} // namespace jngen + +using jngen::shuffle; +using jngen::choice; +using jngen::interleave; + + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +namespace jngen { + +template +class GenericArray : public ReprProxy>, public std::vector { +public: + typedef std::vector Base; + + using Base::Base; + + GenericArray() {} + GenericArray(const GenericArray&) = default; + GenericArray& operator=(const GenericArray&) = default; + GenericArray(GenericArray&&) = default; + GenericArray& operator=(GenericArray&&) = default; + + ~GenericArray() {} + + /* implicit */ GenericArray(const Base& base) : + Base(base) + { } + + using Base::at; + using Base::size; + using Base::resize; + using Base::begin; + using Base::end; + using Base::insert; + using Base::clear; + using Base::erase; + + void extend(size_t requiredSize) { + checkLargeParameter(requiredSize); + if (requiredSize > size()) { + resize(requiredSize); + } + } + + template + static GenericArray randomf(size_t size, F func, const Args& ... args); + template + static GenericArray randomfUnique( + size_t size, F func, const Args& ... args); + template + static GenericArray randomfAll(F func, const Args& ... args); + + template + static GenericArray random(size_t size, const Args& ... args); + template + static GenericArray randomUnique(size_t size, const Args& ... args); + template + static GenericArray randomAll(const Args& ... args); + + static GenericArray id(size_t size, T start = T{}); + + GenericArray& shuffle(); + GenericArray shuffled() const; + + GenericArray& reverse(); + GenericArray reversed() const; + + GenericArray& sort(); + GenericArray sorted() const; + + template + GenericArray& sort(Comp&& comp); + template + GenericArray sorted(Comp&& comp) const; + + GenericArray& unique(); + GenericArray uniqued() const; + + GenericArray inverse() const; + + template + GenericArray subseq(const std::vector& indices) const; + + template + GenericArray subseq( + const std::initializer_list& indices) const; + + T choice() const; + GenericArray choice(size_t count) const; + GenericArray choiceWithRepetition(size_t count) const; + + GenericArray& operator+=(const GenericArray& other); + GenericArray operator+(const GenericArray& other) const; + + GenericArray& operator*=(int k); + GenericArray operator*(int k) const; + + operator std::string() const; +}; + +template +template +GenericArray GenericArray::random(size_t size, const Args& ... args) { + checkLargeParameter(size); + GenericArray result(size); + for (T& x: result) { + x = rnd.tnext(args...); + } + return result; +} + +template +template +GenericArray GenericArray::randomf( + size_t size, + F func, + const Args& ... args) +{ + checkLargeParameter(size); + GenericArray result(size); + for (T& x: result) { + x = func(args...); + } + return result; +} + +namespace detail { + +template +struct DictContainer { + typedef std::set type; +}; + +template +struct DictContainer::result_type> +{ + typedef std::unordered_set type; +}; + +} // namespace detail + +template +template +GenericArray GenericArray::randomfUnique( + size_t size, + F func, + const Args& ... args) +{ + typename detail::DictContainer::type set; + checkLargeParameter(size); + GenericArray result; + result.reserve(size); + + size_t retries = (size + 10) * log(size + 10) * 2; + + while (result.size() != size) { + T t = func(args...); + if (!set.count(t)) { + set.insert(t); + result.push_back(t); + } + + if (--retries == 0) { + ensure(false, "There are not enough unique elements"); + } + + } + + return result; +} + +template +template +GenericArray GenericArray::randomUnique( + size_t size, const Args& ... args) +{ + return GenericArray::randomfUnique( + size, + [](Args... args) { return rnd.tnext(args...); }, + args...); +} + +template +template +GenericArray GenericArray::randomfAll( + F func, + const Args& ... args) +{ + typename detail::DictContainer::type set; + GenericArray result; + + size_t timeAfterLastHit = 0; + + while (true) { + T t = func(args...); + if (!set.count(t)) { + set.insert(t); + result.push_back(t); + timeAfterLastHit = 0; + } + + ++timeAfterLastHit; + + // Probability of finding not all elements is about e^{-20} ~= 1e-9 + if (timeAfterLastHit > (result.size() + 10) * 20) { + return result; + } + } +} + +template +template +GenericArray GenericArray::randomAll(const Args& ... args) +{ + return GenericArray::randomfAll( + [](Args... args) { return rnd.tnext(args...); }, + args...); +} + +template +GenericArray GenericArray::id(size_t size, T start) { + constexpr bool enable = std::is_integral::value; + static_assert(enable, "Cannot call Array::id with non-integral T"); + checkLargeParameter(size); + + if (enable) { + GenericArray result(size); + std::iota(result.begin(), result.end(), start); + return result; + } else { + return {}; + } +} + +template +GenericArray& GenericArray::shuffle() { + jngen::shuffle(begin(), end()); + return *this; +} + +template +GenericArray GenericArray::shuffled() const { + auto res = *this; + res.shuffle(); + return res; +} + +template +GenericArray& GenericArray::reverse() { + std::reverse(begin(), end()); + return *this; +} + +template +GenericArray GenericArray::reversed() const { + auto res = *this; + res.reverse(); + return res; +} + +template +GenericArray& GenericArray::sort() { + std::sort(begin(), end()); + return *this; +} + +template +GenericArray GenericArray::sorted() const { + auto res = *this; + res.sort(); + return res; +} + +template +template +GenericArray& GenericArray::sort(Comp&& comp) { + std::sort(begin(), end(), comp); + return *this; +} + +template +template +GenericArray GenericArray::sorted(Comp&& comp) const { + auto res = *this; + res.sort(comp); + return res; +} + +template +GenericArray& GenericArray::unique() { + erase(std::unique(begin(), end()), end()); + return *this; +} + +template +GenericArray GenericArray::uniqued() const { + auto res = *this; + res.unique(); + return res; +} + +template +GenericArray GenericArray::inverse() const { + static_assert( + std::is_integral::value, + "Can only take inverse permutation of integral array"); + int n = size(); + + if (n == 0) { + return *this; + } + + // sanity check + ensure(*max_element(begin(), end()) == n-1 && + *min_element(begin(), end()) == 0, + "Trying to take inverse of the array which is not a permutation"); + + const static T NONE = static_cast(-1); + GenericArray result(n, NONE); + for (int i = 0; i < n; ++i) { + ensure(result[at(i)] == NONE, + "Trying to take inverse of the array which is not a permutation"); + result[at(i)] = i; + } + + return result; +} + +template +template +GenericArray GenericArray::subseq( + const std::vector& indices) const +{ + GenericArray result; + result.reserve(indices.size()); + for (Integer idx: indices) { + result.push_back(at(idx)); + } + return result; +} + +// TODO(ifsmirnov): ever need to make it faster? +template +template +GenericArray GenericArray::subseq( + const std::initializer_list& indices) const +{ + return subseq(std::vector(indices)); +} + +template +T GenericArray::choice() const { + return jngen::choice(begin(), end()); +} + +template +GenericArray GenericArray::choice(size_t count) const { + ensure( + count <= size(), + "Use Array::choiceWithRepetition to select more than size() elements"); + + size_t n = size(); + + std::unordered_map used; + std::vector res; + for (size_t i = 0; i < count; ++i) { + size_t oldValue = used.count(n-i-1) ? used[n-i-1] : n-i-1; + size_t index = rnd.tnext(n-i); + res.push_back(used.count(index) ? used[index] : index); + used[index] = oldValue; + } + + return subseq(res); +} + +template +GenericArray GenericArray::choiceWithRepetition(size_t count) const { + checkLargeParameter(count); + GenericArray res(count); + for (T& t: res) { + t = choice(); + } + return res; +} + +template +GenericArray& GenericArray::operator+=(const GenericArray& other) { + if (&other == this) { + return *this *= 2; + } + insert(end(), other.begin(), other.end()); + return *this; +} + +template +GenericArray GenericArray::operator+(const GenericArray& other) const { + GenericArray copy(*this); + return copy += other; +} + +template +GenericArray& GenericArray::operator*=(int k) { + if (k == 0) { + clear(); + return *this; + } + + this->reserve(size() * k); + + std::copy_n(begin(), size() * (k - 1), std::back_inserter(*this)); + + return *this; +} + +template +GenericArray GenericArray::operator*(int k) const { + GenericArray copy(*this); + return copy *= k; +} + +template +GenericArray::operator std::string() const { + static_assert(std::is_same::value, "Must not cast" + " TArray to std::string with 'T' != 'char'"); + return std::string(begin(), end()); +} + +// JNGEN_EXTERN template class GenericArray; + +template +using TArray = GenericArray; + +using Array = GenericArray; +using Array2d = GenericArray>; +using Array64 = GenericArray; +using Arrayf = GenericArray; +using Arrayp = GenericArray>; + +template +jngen::GenericArray makeArray(const std::vector& values) { + return jngen::GenericArray(values); +} + +template +jngen::GenericArray makeArray(const std::initializer_list& values) { + return jngen::GenericArray(values); +} + +template +TArray> zip(const TArray& lhs, const TArray& rhs) { + ensure( + lhs.size() == rhs.size(), + "In zip(a, b), a and b must have the same size"); + TArray> result; + for (size_t i = 0; i < lhs.size(); ++i) { + result.emplace_back(lhs[i], rhs[i]); + } + return result; +} + +template +TArray arrayCast(const TArray& array) { + return TArray(array.begin(), array.end()); +} + +template +struct Hash> { + uint64_t operator()(const TArray& elements) const { + return Hash>{}(elements); + } +}; + +} // namespace jngen + +JNGEN_DEFINE_STD_HASH_TEMPLATE(T, jngen::TArray); + +using jngen::makeArray; +using jngen::zip; +using jngen::arrayCast; + +using jngen::TArray; + +using jngen::Array; +using jngen::Array2d; +using jngen::Array64; +using jngen::Arrayf; +using jngen::Arrayp; + +// This header is named 'math_jngen.h' and not 'math.h' because in the latter +// case it will replace the standard 'math.h' if you set jngen folder as the +// include path. + + +#include +#include +#include +#include +#include +#include +#include + +namespace jngen { + +namespace detail { + +inline int multiply(int x, int y, int mod) { + return static_cast(x) * y % mod; +} + +inline long long multiply(long long x, long long y, long long mod) { +#if defined(__SIZEOF_INT128__) + return static_cast<__int128>(x) * y % mod; +#else + long long res = 0; + while (y) { + if (y&1) { + res = (static_cast(res) + x) % mod; + } + x = (static_cast(x) + x) % mod; + y >>= 1; + } + return res; +#endif +} + +inline int power(int x, int k, int mod) { + int res = 1; + while (k) { + if (k&1) { + res = multiply(res, x, mod); + } + x = multiply(x, x, mod); + k >>= 1; + } + return res; +} + +inline long long power(long long x, long long k, long long mod) { + long long res = 1; + while (k) { + if (k&1) { + res = multiply(res, x, mod); + } + x = multiply(x, x, mod); + k >>= 1; + } + return res; +} + +template +bool millerRabinTest(I n, const std::vector& witnesses) { + static_assert( + std::is_same::value || std::is_same::value, + "millerRabinTest only is supported"); + + if (n == 1) { + return false; + } + + constexpr int LIMIT = 10000; + + if (n <= LIMIT) { + for (int i = 2; i*i <= n; ++i) { + if (n%i == 0) { + return false; + } + } + return true; + } + + int r = 0; + I d = n - 1; + while (d % 2 == 0) { + ++r; + d /= 2; + } + + for (I a: witnesses) { + I x = power(a, d, n); + if (x == 1 || x == n - 1) { + continue; + } + + bool composite = true; + for (int i = 0; i < r - 1; ++i) { + x = multiply(x, x, n); + if (x == 1) { + return false; + } + if (x == n - 1) { + i = r; + composite = false; + continue; + } + } + if (composite) { + return false; + } + } + return true; +} + +} // namespace detail + +inline bool isPrime(long long n) { + const static std::vector INT_WITNESSES{2, 7, 61}; + const static std::vector LONG_LONG_WITNESSES + {2, 3, 5, 7, 11, 13, 17, 19, 23}; + // todo: experiment with base + // 2, 325, 9375, 28178, 450775, 9780504, and 1795265022 + // (guaranteed for all integers < 2^64) + + // first strong pseudoprime to i64 bases is 3825123056546413051 ~= 3.8e18 + ensure(n > 0, "isPrime() is undefined for negative numbers"); + ensure( + n <= static_cast(3.8e18), + "isPrime() supports only numbers not greater than 3.8 * 10^18"); + + if (n < std::numeric_limits::max()) { + return detail::millerRabinTest(n, INT_WITNESSES); + } else { + return detail::millerRabinTest(n, LONG_LONG_WITNESSES); + } +} + +class MathRandom { +public: + MathRandom() { + static bool created = false; + ensure(!created, "jngen::MathRandom should be created only once"); + created = true; + } + + static long long randomPrime(long long n) { + ensure(n > 2, format("There are no primes below %lld", n)); + return randomPrime(2, n - 1); + } + + static long long randomPrime(long long l, long long r) { + ensure(l <= r); + std::unordered_set used; + while (static_cast(used.size()) < r - l + 1) { + long long x = rnd.next(l, r); + if (used.count(x)) { + continue; + } + used.insert(x); + if (isPrime(x)) { + return x; + } + } + ensure( + false, + format( + "There are no primes between %lld and %lld", + l, r) + ); + } + + static long long nextPrime(long long n) { + while (!isPrime(n)) { + ++n; + } + return n; + } + + static long long previousPrime(long long n) { + ensure(n >= 2, format("There are no primes less or equal to %lld", n)); + while (!isPrime(n)) { + --n; + } + return n; + } + + static Array partition( + int n, + int numParts, + int minSize = 0, + int maxSize = -1) + { + auto res = partition( + static_cast(n), + numParts, + static_cast(minSize), + static_cast(maxSize)); + return Array(res.begin(), res.end()); + } + + static Array64 partition( + long long n, + int numParts, + long long minSize = 0, + long long maxSize = -1) + { + if (maxSize == -1) { + maxSize = n; + } + + ensure(n >= 0); + ensure(numParts >= 0); + ensure(numParts * minSize <= n, "minSize is too large"); + ensure(numParts * maxSize >= n, "maxSize is too small"); + ensure(minSize <= maxSize); + + n -= minSize * numParts; + + auto delimiters = Array64::random( + numParts - 1, 0, n).sorted(); + delimiters.insert(delimiters.begin(), 0); + delimiters.push_back(n); + + Array64 partition(numParts); + for (long long i = 0; i < numParts; ++i) { + partition[i] = delimiters[i + 1] - delimiters[i]; + } + partition.sort().reverse(); + + long long remaining = 0; + + long long localMax = maxSize - minSize; + for (auto& x: partition) { + if (x > localMax) { + remaining += x - localMax; + x = localMax; + } + + x += minSize; + } + + // Here we try to distribute the remaining part in some even manner + // between remaining slots. Looks like crap anyway, need a smarter way. + + for (int divisor: { 2, 1 }) { + partition.shuffle(); + for (auto& x: partition) { + if (x < maxSize) { + long long add = std::min( + remaining, (maxSize - x) / divisor); + x += add; + remaining -= add; + } + } + } + + ensure(remaining == 0, "maxSize is too small"); + + return partition; + } + + template + TArray> partition( + TArray elements, + int numParts, + int minSize = 0, + int maxSize = -1) + { + return partition( + std::move(elements), + partition( + static_cast(elements.size()), + numParts, + minSize, + maxSize)); + } + + template + TArray> partition(TArray elements, const Array& sizes) { + size_t total = std::accumulate(sizes.begin(), sizes.end(), size_t(0)); + ensure(total == elements.size(), "sum(sizes) != elements.size()"); + elements.shuffle(); + TArray> res; + auto it = elements.begin(); + for (int size: sizes) { + res.emplace_back(); + std::copy(it, it + size, std::back_inserter(res.back())); + it += size; + } + + return res; + } +}; + +JNGEN_EXTERN MathRandom rndm; + +} // namespace jngen + +using jngen::isPrime; + +using jngen::rndm; + + +#include +#include + +namespace jngen { + +enum class UnorderedSetCompiler { + Gcc4, + Gcc5or6, + Clang +}; + +class ArrayRandom { +public: + ArrayRandom() { + static bool created = false; + ENSURE(!created, "jngen::ArrayRandom should be created only once"); + created = true; + } + + template + static auto randomf( + size_t size, + F func, + Args... args) -> GenericArray + { + typedef decltype(func(args...)) T; + return GenericArray::randomf(size, func, args...); + } + + template + static auto randomfUnique( + size_t size, + F func, + Args... args) -> GenericArray + { + typedef decltype(func(args...)) T; + return GenericArray::randomfUnique(size, func, args...); + } + + template + static auto randomfAll( + F func, + Args... args) -> GenericArray + { + typedef decltype(func(args...)) T; + return GenericArray::randomfAll(func, args...); + } + + static Array64 antiUnorderedSet( + int n, + double maxLoadFactor = 1.0, + bool reserve = false, + UnorderedSetCompiler compiler = UnorderedSetCompiler::Gcc4); + +private: + static Array64 numbersDividingPrime(int n, long long p); + + static long long nextPrime( + unsigned long long x, + UnorderedSetCompiler compiler); +}; + +JNGEN_EXTERN ArrayRandom rnda; + +#ifndef JNGEN_DECLARE_ONLY + +Array64 ArrayRandom::antiUnorderedSet( + int n, + double maxLoadFactor, + bool reserve, + UnorderedSetCompiler compiler) +{ + ensure( + compiler == UnorderedSetCompiler::Gcc4, + "unordered set antitest supported only for gcc-4.x yet"); + + ensure( + n <= 1000000, + "unordered set antitest supported only for n <= 1e7"); + + int buckets; + + if (reserve) { + buckets = nextPrime(std::ceil(n / maxLoadFactor), compiler); + } else { + buckets = 2; + for (int size = 1; size <= n; ++size) { + if (size + 1 > buckets * maxLoadFactor) { + buckets = nextPrime(buckets * 2, compiler); + } + } + } + + return numbersDividingPrime(n, buckets); +} + +Array64 ArrayRandom::numbersDividingPrime(int n, long long p) { + auto a = Array64::id(n); + for (auto& x: a) { + x *= p; + } + return a; +} + +long long ArrayRandom::nextPrime( + unsigned long long x, + UnorderedSetCompiler compiler) +{ + ENSURE(compiler == UnorderedSetCompiler::Gcc4); + + const static size_t SIZE = + sizeof(impl::primeList) / sizeof(impl::primeList[0]); + return *std::lower_bound(impl::primeList, impl::primeList + SIZE, x); +} + +#endif // JNGEN_DECLARE_ONLY + +} // namespace jngen + +using jngen::rnda; +using jngen::UnorderedSetCompiler; + + +#include +#include +#include +#include +#include +#include +#include + +namespace jngen { + +#ifdef JNGEN_DECLARE_ONLY +extern long double eps; +#else +long double eps = 1e-9; +#endif + +inline void setEps(long double value) { + eps = value; +} + +template +struct Comparator { + static bool eq(T a, U b) { return a == b; } + static bool lt(T a, U b) { return a < b; } +}; + +template +struct Comparator::value || std::is_floating_point::value, + void>> +{ + static bool eq(T a, U b) { return std::abs(b - a) < eps; } + static bool lt(T a, U b) { return a < b - eps; } +}; + +template +bool eq(T t, U u) { + return Comparator().eq(t, u); +} + +template +bool lt(T t, U u) { + return Comparator().lt(t, u); +} + +template bool ne(T t, U u) { return !eq(t, u); } +template bool le(T t, U u) { return !lt(u, t); } +template bool gt(T t, U u) { return lt(u, t); } +template bool ge(T t, U u) { return !lt(t, u); } + +template +struct TPoint : public ReprProxy> { + T x, y; + + TPoint() : x(0), y(0) {} + TPoint(T x, T y) : x(x), y(y) {} + + template + TPoint(const TPoint& other) : x(other.x), y(other.y) {} + + TPoint operator+(const TPoint& other) const { + return TPoint(x + other.x, y + other.y); + } + + TPoint& operator+=(const TPoint& other) { + x += other.x; + y += other.y; + return *this; + } + + TPoint operator-(const TPoint& other) const { + return TPoint(x - other.x, y - other.y); + } + + TPoint& operator-=(const TPoint& other) { + x -= other.x; + y -= other.y; + return *this; + } + + TPoint operator-() const { + return TPoint(-x, -y); + } + + TPoint operator*(T factor) const { + return TPoint(x * factor, y * factor); + } + + TPoint& operator*=(T factor) { + x *= factor; + y *= factor; + return *this; + } + + T operator*(const TPoint& other) const { + return x * other.x + y * other.y; + } + + T operator%(const TPoint& other) const { + return x * other.y - y * other.x; + } + + bool operator==(const TPoint& other) const { + return eq(x, other.x) && eq(y, other.y); + } + + bool operator!=(const TPoint& other) const { + return !(*this == other); + } + + bool operator<(const TPoint& other) const { + if (eq(x, other.x)) { + return lt(y, other.y); + } + return lt(x, other.x); + } +}; + +using Point = TPoint; +using Pointf = TPoint; + +template<> +struct Hash { + uint64_t operator()(const Point& point) const { + uint64_t h = 0; + impl::hashCombine(h, Hash{}(point.x)); + impl::hashCombine(h, Hash{}(point.y)); + return h; + } +}; + +template +JNGEN_DECLARE_SIMPLE_PRINTER(TPoint, 3) { + (void)mod; + out << t.x << " " << t.y; +} + +template +class TPolygon : public GenericArray> { +public: + using Base = GenericArray>; + using Base::Base; + + TPolygon& shift(const TPoint& vector) { + for (auto &pt: *this) { + pt += vector; + } + return *this; + } + + TPolygon shifted(const TPoint& vector) const { + auto res = *this; + res.shift(vector); + return res; + } + + TPolygon& reflect() { + for (auto& pt: *this) { + pt = -pt; + } + return *this; + } + + TPolygon reflected() const { + auto res = *this; + res.reflect(); + return res; + } +}; + +using Polygon = TPolygon; +using Polygonf = TPolygon; + +template<> +struct Hash { + uint64_t operator()(const Polygon& p) const { + return Hash>{}(p); + } +}; + +template +JNGEN_DECLARE_SIMPLE_PRINTER(TArray>, 5) { + // I should avoid copy-paste from array printer here but need to output + // points with '\n' separator. Maybe 'mod' should be made non-const? + if (mod.printN) { + out << t.size() << "\n"; + } + bool first = true; + for (const auto& x: t) { + if (first) { + first = false; + } else { + out << '\n'; + } + JNGEN_PRINT(x); + } +} + +namespace detail { + +template +TPolygon convexHull(TArray> points) { + points.sort().unique(); + + if (points.size() <= 2u) { + return points; + } + + TArray> upper(points.begin(), points.begin() + 2); + upper.reserve(points.size()); + int top = 1; + for (size_t i = 2; i < points.size(); ++i) { + while (top >= 1 && ge( + (upper[top] - upper[top-1]) % (points[i] - upper[top]), 0ll)) + { + upper.pop_back(); + --top; + } + upper.push_back(points[i]); + ++top; + } + + TArray> lower(points.begin(), points.begin() + 2); + lower.reserve(points.size()); + top = 1; + for (size_t i = 2; i < points.size(); ++i) { + while (top >= 1 && le( + (lower[top] - lower[top-1]) % (points[i] - lower[top]), 0ll)) + { + lower.pop_back(); + --top; + } + lower.push_back(points[i]); + ++top; + } + upper.pop_back(); + upper.erase(upper.begin()); + return lower + upper.reversed(); +} + +template +TPolygon convexPolygonByEllipse( + int n, Pointf center, Pointf xAxis, Pointf yAxis) +{ + return convexHull(rnda.randomf( + n, + [center, xAxis, yAxis] () -> TPoint { + static const long double PI = acosl(-1.0); + long double angle = rnd.next(0., PI*2); + long double sina = sinl(angle); + long double cosa = cosl(angle); + return center + xAxis * cosa + yAxis * sina; + } + )); +} + +} // namespace detail + +class GeometryRandom { +public: + GeometryRandom() { + static bool created = false; + ensure(!created, "jngen::GeometryRandom should be created only once"); + created = true; + } + + // point in [0, C] x [0, C] + static Point point(long long C); + + // point in [min, max] x [min, max] + static Point point(long long min, long long max); + + // point in [X1, Y1] x [X2, Y2] + static Point point( + long long X1, long long Y1, + long long X2, long long Y2); + + // point in [0, C] x [0, C] + static Point pointf(long double C); + + // point in [min, max] x [min, max] + static Point pointf(long double min, long double max); + + // point in [X1, Y1] x [X2, Y2] + static Point pointf( + long double X1, long double Y1, + long double X2, long double Y2); + + + static Polygon convexPolygon(int n, long long C); + static Polygon convexPolygon(int n, long long min, long long max); + static Polygon convexPolygon( + int n, + long long X1, long long Y1, + long long X2, long long Y2); + + + static TArray pointsInGeneralPosition(int n, long long C); + + static TArray pointsInGeneralPosition( + int n, long long min, long long max); + static TArray pointsInGeneralPosition( + int n, + long long X1, long long Y1, + long long X2, long long Y2); + +}; + + +JNGEN_EXTERN GeometryRandom rndg; + +JNGEN_EXTERN template struct jngen::TPoint; +JNGEN_EXTERN template struct jngen::TPoint; +JNGEN_EXTERN template class jngen::TPolygon; +JNGEN_EXTERN template class jngen::TPolygon; + +JNGEN_EXTERN template TPolygon detail::convexHull( + TArray> points); +JNGEN_EXTERN template TPolygon detail::convexHull( + TArray> points); + +} // namespace jngen + +JNGEN_DEFINE_STD_HASH(jngen::Point); +JNGEN_DEFINE_STD_HASH(jngen::Polygon); + +using jngen::Point; +using jngen::Pointf; + +using jngen::Polygon; +using jngen::Polygonf; + +using jngen::rndg; + +using jngen::setEps; + +// workaround for g++-7 +namespace std { + +JNGEN_EXTERN template class std::allocator; +JNGEN_EXTERN template class std::allocator; + +} // namespace std + +#ifndef JNGEN_DECLARE_ONLY +#define JNGEN_INCLUDE_GEOMETRY_INL_H +#ifndef JNGEN_INCLUDE_GEOMETRY_INL_H +#error File "geometry_inl.h" must not be included directly. +#endif + +namespace jngen { + +Point GeometryRandom::point(long long C) { + return point(0, 0, C, C); +} + +Point GeometryRandom::point(long long min, long long max) { + return point(min, min, max, max); +} + +Point GeometryRandom::point( + long long X1, long long Y1, + long long X2, long long Y2) { + long long x = rnd.tnext(X1, X2); + long long y = rnd.tnext(Y1, Y2); + return Point(x, y); +} + +Point GeometryRandom::pointf(long double C) { + return pointf(0, 0, C, C); +} + +Point GeometryRandom::pointf(long double min, long double max) { + return pointf(min, min, max, max); +} + +Point GeometryRandom::pointf( + long double X1, long double Y1, + long double X2, long double Y2) +{ + long double x = rnd.tnext(X1, X2); + long double y = rnd.tnext(Y1, Y2); + return Pointf(x, y); +} + + +Polygon GeometryRandom::convexPolygon(int n, long long C) { + return convexPolygon(n, 0, 0, C, C); +} + +Polygon GeometryRandom::convexPolygon(int n, long long min, long long max) { + return convexPolygon(n, min, min, max, max); +} + +Polygon GeometryRandom::convexPolygon( + int n, + long long X1, long long Y1, + long long X2, long long Y2) +{ + // todo: off-by-one error? + auto dx = X2 - X1; + auto dy = Y2 - Y1; + ensure(n >= 0); + Polygon res = detail::convexPolygonByEllipse( + n * 10, // BUBEN! + Point(dx / 2, dy / 2), + Point(dx / 2, 0), + Point(0, dy / 2) + ); + res.shift(Point(X1, Y1)); + for (auto& x: res) { + ENSURE(x.x >= X1); + ENSURE(x.x <= X2); + ENSURE(x.y >= Y1); + ENSURE(x.y <= Y2); + } + + ensure( + static_cast(res.size()) >= n, + "Cannot generate a convex polygon with so many vertices"); + + return res.subseq(Array::id(res.size()).choice(n).sort()); +} + + +TArray GeometryRandom::pointsInGeneralPosition(int n, long long C) { + return pointsInGeneralPosition(n, 0, 0, C, C); +} + +TArray GeometryRandom::pointsInGeneralPosition( + int n, long long min, long long max) +{ + return pointsInGeneralPosition(n, min, min, max, max); +} + +TArray GeometryRandom::pointsInGeneralPosition( + int n, + long long X1, long long Y1, + long long X2, long long Y2) +{ + struct Line { + long long A, B, C; // Ax + By + C = 0 + Line() {} + Line(const Point& p1, const Point& p2) { + A = p1.y - p2.y; + B = p2.x - p1.x; + C = -(p1.x * A + p1.y * B); + + ENSURE(A != 0 || B != 0); + + long long g = util::gcd(A, util::gcd(B, C)); + A /= g; + B /= g; + C /= g; + if (A < 0 || (A == 0 && B < 0)) { + A = -A; + B = -B; + C = -C; + } + } + + bool operator<(const Line& other) const { + return std::tie(A, B, C) < std::tie(other.A, other.B, other.C); + } + }; + + const long long LIMIT = 2e9; + ensure( + std::abs(X2 - X1) <= LIMIT && X1 <= LIMIT && X2 <= LIMIT && + std::abs(Y2 - Y1) <= LIMIT && Y1 <= LIMIT && Y2 <= LIMIT, + "rndg.pointsInGeneralPosition must not be called with coordinates " + "larger than 2e9"); + + std::set lines; + std::unordered_set points; + + TArray res; + + while (static_cast(res.size()) != n) { + Point p = point(X1, Y1, X2, Y2); + + if (points.count(p)) { + continue; + } + + if (std::none_of( + res.begin(), + res.end(), + [&lines, &p] (const Point& q) { + return lines.count(Line(p, q)); + })) + { + points.insert(p); + for (const auto& q: res) { + lines.emplace(p, q); + } + res.push_back(p); + } + } + return res; +} + +} // namespace jngen +#undef JNGEN_INCLUDE_GEOMETRY_INL_H +#endif // JNGEN_DECLARE_ONLY + + +#include +#include + +namespace jngen { + +class QueryBuilder { +public: + QueryBuilder() {} + + QueryBuilder(int n); + QueryBuilder(int l, int r); + + QueryBuilder& minLen(int value); + QueryBuilder& maxLen(int value); + QueryBuilder& range(int n); + QueryBuilder& range(int l, int r); + QueryBuilder& small(); + QueryBuilder& large(); + QueryBuilder& ordered(bool value); + + std::pair next(); + Arrayp next(int m); + +private: + enum class QueryType { + Default, Large, Small + }; + + QueryType queryType_ = QueryType::Default; + + std::pair range_; // half-interval + std::pair lenRange_; // segment + bool ordered_; +}; + +#ifndef JNGEN_DECLARE_ONLY + +QueryBuilder::QueryBuilder(int n) : + QueryBuilder(0, n - 1) +{ } + +QueryBuilder::QueryBuilder(int l, int r) : + range_(l, r + 1), + lenRange_(1, r - l + 1), + ordered_(true) +{ + ensure(l <= r); +} + +QueryBuilder& QueryBuilder::minLen(int value) { + lenRange_.first = value; + return *this; +} + +QueryBuilder& QueryBuilder::maxLen(int value) { + lenRange_.second = value; + return *this; +} + +QueryBuilder& QueryBuilder::range(int n) { + ensure(n > 0); + return this->range(0, n - 1); +} + +QueryBuilder& QueryBuilder::range(int l, int r) { + ensure(l <= r); + range_ = {l, r+1}; + lenRange_.second = std::min(lenRange_.second, r - l + 1); + lenRange_.first = std::min(lenRange_.first, lenRange_.second); + return *this; +} + +QueryBuilder& QueryBuilder::small() { + queryType_ = QueryType::Small; + return *this; +} + +QueryBuilder& QueryBuilder::large() { + queryType_ = QueryType::Large; + return *this; +} + +QueryBuilder& QueryBuilder::ordered(bool value) { + ordered_ = value; + return *this; +} + +std::pair QueryBuilder::next() { + switch (queryType_) { + case QueryType::Default: { + // This is inaccurate to say the least. I don't know how to + // generate a random segment with length from l to r without + // calling sqrt. + int len = rnd.wnext(lenRange_.first, lenRange_.second, -1); + int l = rnd.next(range_.first, range_.second - len); + if (ordered_ || rnd.next(2)) { + return {l, l + len - 1}; + } else { + return {l + len - 1, l}; + } + } + case QueryType::Large: { + ENSURE(false, "not implemented"); + break; + } + case QueryType::Small: { + ENSURE(false, "not implemented"); + break; + } + default: ENSURE(false, "Nonexistent option"); + } +} + +Arrayp QueryBuilder::next(int m) { + return rnda.randomf(m, [this]() { return next(); }); +} + +#endif + +template +QueryBuilder rndq(Args... args) { + return QueryBuilder(args...); +} + +} // namespace jngen + +using jngen::rndq; + + +#include +#include +#include +#include +#include +#include +#include + +namespace jngen { + +typedef std::pair HashBase; // (mod, base) +typedef std::pair StringPair; + +class StringRandom { +public: + StringRandom() { + static bool created = false; + ENSURE(!created, "jngen::StringRandom should be created only once"); + created = true; + } + + static std::string random(int len, const std::string& alphabet = "a-z"); + + template + static std::string random(const std::string& pattern, Args... args) { + return rnd.next(pattern, std::forward(args)...); + } + + static std::string thueMorse(int len, char first = 'a', char second = 'b'); + + static std::string abacaba(int len, char first = 'a'); + + static StringPair antiHash( + const std::vector& bases, + const std::string& alphabet = "a-z", + int length = -1); +}; + +JNGEN_EXTERN StringRandom rnds; + +} // namespace jngen + +using jngen::rnds; + +#ifndef JNGEN_DECLARE_ONLY +#define JNGEN_INCLUDE_RNDS_INL_H +#ifndef JNGEN_INCLUDE_RNDS_INL_H +#error File "rnds_inl.h" must not be included directly. +#endif + +namespace jngen { + +namespace detail { + +int popcount(long long x) { + int res = 0; + while (x) { + ++res; + x &= x-1; + } + return res; +} + +int trailingZeroes(long long x) { + int res = 0; + ENSURE(x != 0); + while (!(x&1)) { + ++res; + x >>= 1; + } + return res; +} + +std::string parseAllowedChars(std::string pattern) { + std::string result; + pattern += "\0\0"; + for (size_t i = 0; i < pattern.length(); ++i) { + if (pattern[i] == '-') { + result += '-'; + } else if (pattern[i+1] == '-' && pattern[i+2] != '\0') { + for (char c = pattern[i]; c <= pattern[i+2]; ++c) { + result += c; + } + i += 2; + } else { + result += pattern[i]; + } + } + std::sort(result.begin(), result.end()); + return result; +} + +std::vector extendAntiHash( + const std::vector& chars, + HashBase base, + int count) +{ + ENSURE(count == 2, "Count != 2 is not supported (yet)"); + + size_t baseLength = chars[0].size(); + for (const auto& s: chars) { + ensure(s.size() == baseLength); + } + + long long mod = base.first; + long long p = base.second; + + long long pPower = 1; + for (size_t i = 0; i != baseLength; ++i) { + pPower = (pPower * p) % mod; + } + + std::vector charHashes; + for (const auto& s: chars) { + long long hash = 0; + for (char c: s) { + hash = (hash * p + c) % mod; + } + charHashes.push_back(hash); + } + + auto computeHash = [&charHashes, mod, pPower](const std::vector& a) { + long long hash = 0; + for (int x: a) { + hash = (hash * pPower + charHashes[x]) % mod; + } + return hash; + }; + + // This bounds were achieved empirically and should be justified. + int needForMatch; + if (count == 2) { + needForMatch = 5 * pow(double(mod), 0.5); + } else { + ENSURE(false, "Only count = 2 is supported yet"); + } + + int length = 2; + double wordCount = pow(double(chars.size()), double(length)); + + while (true) { + ++length; + wordCount *= chars.size(); + if (wordCount < needForMatch) { + continue; + } + + std::vector> words; + std::map hashCount; + std::set used; + + for (int i = 0; i < needForMatch; ++i) { + Array w = Array::random(length, chars.size()); + if (used.count(w)) { + --i; + continue; + } + used.insert(w); + long long hash = computeHash(w); + words.emplace_back(hash, w); + if (++hashCount[hash] == count) { + std::vector result; + for (const auto& kv: words) { + if (kv.first == hash) { + std::string word; + for (int c: kv.second) { + word += chars[c]; + } + result.push_back(word); + } + } + return result; + } + } + } +} + +StringPair minimalAntiHashTest( + std::vector bases, + const std::string allowedChars) +{ + for (auto base: bases) { + ensure(base.first >= 0, "0 < MOD must hold"); + ensure( + base.first <= (long long)(2e9), + "Modules larger than 2'000'000'000 are not supported yet"); + ensure( + 0 < base.second && base.second < base.first, + "0 <= P < MOD must hold"); + } + + std::vector counts; + if (bases.size() == 1) { + counts = {2}; + } else if (bases.size() == 2) { + counts = {2, 2}; + } else { + counts.assign(bases.size(), 2); + } + + std::vector cur; + for (char c: allowedChars) { + cur.emplace_back(1, c); + } + + for (size_t i = 0; i != bases.size(); ++i) { + cur = extendAntiHash(cur, bases[i], counts[i]); + ensure(static_cast(cur.size()) == counts[i], + "Cannot generate long enough pair with same hash"); + } + + return {cur[0], cur[1]}; +} + +} // namespace detail + + +std::string StringRandom::random(int len, const std::string& alphabet) { + checkLargeParameter(len); + std::string chars = detail::parseAllowedChars(alphabet); + std::string res; + res.reserve(len); + for (int i = 0; i < len; ++i) { + res += choice(chars); + } + return res; +} + +std::string StringRandom::thueMorse(int len, char first, char second) { + ensure(len >= 0); + checkLargeParameter(len); + std::string res(len, ' '); + for (int i = 0; i < len; ++i) { + res[i] = detail::popcount(i)%2 == 0 ? first : second; + } + return res; +} + +std::string StringRandom::abacaba(int len, char first) { + ensure(len >= 0); + checkLargeParameter(len); + std::string res(len, ' '); + for (int i = 0; i < len; ++i) { + res[i] = first + detail::trailingZeroes(~i); + } + return res; +} + +StringPair StringRandom::antiHash( + const std::vector& bases, + const std::string& alphabet, + int length) +{ + checkLargeParameter(length); + std::string allowedChars = detail::parseAllowedChars(alphabet); + StringPair result = detail::minimalAntiHashTest(bases, allowedChars); + + if (length == -1) { + return result; + } + + ensure( + static_cast(result.first.length()) <= length, + "Cannot generate enough long anti-hash test"); + + int extraLength = length - result.first.length(); + int leftSize = rnd.next(0, extraLength); + + std::string left = rnd.next(format("[%s]{%d}", alphabet.c_str(), leftSize)); + std::string right = + rnd.next(format("[%s]{%d}", alphabet.c_str(), extraLength - leftSize)); + + return { + left + result.first + right, + left + result.second + right + }; +} + +} // namespace jngen +#undef JNGEN_INCLUDE_RNDS_INL_H +#endif // JNGEN_DECLARE_ONLY + + +#include +#include +#include +#include +#include +#include +#include + +namespace jngen { +namespace suites { + +#define JNGEN_ADD_PRODUCER(...)\ + {\ + std::string name = #__VA_ARGS__;\ + if (name.empty()) {\ + name = format("noname%d", (int)names_.size());\ + }\ + if (std::find(names_.begin(), names_.end(), name) != names_.end()) {\ + ENSURE(false, format("Duplicated test name: '%s'", name.c_str()));\ + }\ + names_.emplace_back(name);\ + }\ + *std::back_inserter(producers_) = [this] (JNGEN_PRODUCER_ARGS) -> value_type + +template +class BaseTestSuite { +public: + explicit BaseTestSuite(const std::string& name) : name_(name) { } + + BaseTestSuite(const BaseTestSuite&) = delete; + BaseTestSuite& operator=(const BaseTestSuite&) = delete; + + size_t size() const { + return producers_.size(); + } + + TArray names() const { + return names_; + } + + T gen(size_t id, Args... args) const { + ensure( + id < producers_.size(), + format("Cannot generate test #%d in suite '%s', there are only " + "%d", (int)id, name_.c_str(), (int)producers_.size())); + return producers_[id](args...); + } + + T gen(const std::string& name, Args... args) const { + size_t pos = std::find(names_.begin(), names_.end(), name) + - names_.begin(); + ensure( + pos < names_.size(), + format("There is no test '%s' in suite '%s'", + name.c_str(), name_.c_str())); + return gen(pos, args...); + } + + TArray genMany(size_t count, Args... args) const { + ensure( + count <= producers_.size(), + format("Cannot generate %d tests in suite '%s', there are only " + "%d", (int)count, name_.c_str(), (int)producers_.size())); + + TArray result; + result.reserve(count); + for (size_t id = 0; id < count; ++id) { + try { + result.push_back(gen(id, args...)); + } catch (...) { + std::cerr << "Cannot generate test #" << id << " of suite " + << name_ << "\n"; + } + } + + return result; + } + + Traits& conf() { return conf_; } + +protected: + using Producer = std::function; + using value_type = T; + + std::vector producers_; + std::vector names_; + + Traits conf_; + +private: + std::string name_; +}; + +}} // namespace jngen::suites + + +#include +#include +#include + +namespace jngen { + +inline int getInitialTestNo() { + char *envvar = std::getenv("TESTNO"); + int testno; + if (!envvar || 1 != std::sscanf(envvar, "%d", &testno)) { + return 1; + } + return testno; +} + +#ifdef JNGEN_DECLARE_ONLY +extern int nextTestNo; +#else +int nextTestNo = -1; +#endif // JNGEN_DECLARE_ONLY + +void startTest(int testNo); + +void startTest(); + +void setNextTestNumber(int testNo); + +Array64 randomTestSizes( + long long totalSize, + int count, + long long minSize, + long long maxSize, + const Array64& predefined); + +Array randomTestSizes( + int totalSize, + int count, + int minSize, + int maxSize, + const Array& predefined); + +#ifndef JNGEN_DECLARE_ONLY + +void startTest(int testNo) { + nextTestNo = testNo + 1; + char filename[10]; + std::sprintf(filename, "%d", testNo); + if (!std::freopen(filename, "w", stdout)) { + ensure(false, format("Cannot open the file `%s'", filename)); + } +} + +void startTest() { + if (nextTestNo == -1) { + nextTestNo = getInitialTestNo(); + } + + startTest(nextTestNo); +} + +void setNextTestNumber(int testNo) { + nextTestNo = testNo; +} + +Array64 randomTestSizes( + long long totalSize, + int count, + long long minSize, + long long maxSize, + const Array64& predefined) +{ + for (auto x: predefined) { + totalSize -= x; + } + ensure(totalSize >= 0, "Sum of predefined test sizes exceeds total size"); + ensure(count * minSize <= totalSize, "minSize is too large"); + ensure(count * maxSize >= totalSize, "maxSize is too small"); + ensure(minSize <= maxSize); + + return (rndm.partition(totalSize, count, minSize, maxSize) + + predefined).shuffle(); +} + +Array randomTestSizes( + int totalSize, + int count, + int minSize, + int maxSize, + const Array& predefined) +{ + return arrayCast(randomTestSizes( + static_cast(totalSize), + count, + static_cast(minSize), + static_cast(maxSize), + arrayCast(predefined) + )); +} + +#endif // JNGEN_DECLARE_ONLY + +} // namespace jngen + +using jngen::startTest; +using jngen::setNextTestNumber; + +using jngen::randomTestSizes; + + +#include +#include +#include + +namespace jngen { + +namespace variant_detail { + +constexpr static int NO_TYPE = -1; + +template +class VariantImpl; + +template +class VariantImpl { +public: + VariantImpl() { + type_ = NO_TYPE; + } + +private: + alignas(Align) char data_[Size]; + int type_; + +protected: + int& type() { return type_; } + int type() const { return type_; } + + char* data() { return data_; } + const char* data() const { return data_; } + + void doDestroy() { + throw; + } + + template + constexpr static int typeId() { + return NO_TYPE; + } + + void copy(char*) const { + throw; + } + + void move(char*) const { + throw; + } + + void setType(int) { + throw; + } + + template + typename V::return_type applyVisitor(V&&) const { + throw; + } + + void assign() {} +}; + +template +class VariantImpl : public VariantImpl< + (sizeof(T) > Size ? sizeof(T) : Size), + (alignof(T) > Align ? alignof(T) : Align), + Args... + > +{ + using Base = VariantImpl< + (sizeof(T) > Size ? sizeof(T) : Size), + (alignof(T) > Align ? alignof(T) : Align), + Args... + >; + + constexpr static int MY_ID = sizeof...(Args); + +protected: + void doDestroy() { + if (this->type() == MY_ID) { + this->type() = NO_TYPE; + reinterpret_cast(this->data())->~T(); + } else { + Base::doDestroy(); + } + } + + template + constexpr static int typeId() { + return std::is_same::value ? + MY_ID : + Base::template typeId

(); + } + + void copy(char* dst) const { + if (this->type() == MY_ID) { + new(dst) T(*reinterpret_cast(this->data())); + } else { + Base::copy(dst); + } + } + + void move(char* dst) const { + if (this->type() == MY_ID) { + new(dst) T(std::move(*reinterpret_cast(this->data()))); + } else { + Base::copy(dst); + } + } + + void setType(int typeIndex) { + if (typeIndex == MY_ID) { + if (this->type() != NO_TYPE) { + throw; + } + assign(T{}); + } else { + Base::setType(typeIndex); + } + } + + template + typename V::return_type applyVisitor(V&& v) const { + if (this->type() == MY_ID) { + return v(*reinterpret_cast(this->data())); + } else { + return Base::applyVisitor(std::forward(v)); + } + } + + using Base::assign; + + void assign(const T& t) { + if (this->type() == NO_TYPE) { + new(this->data()) T; + this->type() = MY_ID; + } + + ref() = t; + } + +private: + T& ref() { return *reinterpret_cast(this->data()); } + +public: + operator T() const { + if (this->type() == MY_ID) { + return *reinterpret_cast(this->data()); + } else { + return T(); + } + } +}; + +template +class Variant : public VariantImpl<0, 1, Args...> { + using Base = VariantImpl<0, 1, Args...>; + +public: + Variant() { } + + Variant(const Variant& other) { + if (other.type() != NO_TYPE) { + other.copy(this->data()); + unsafeType() = other.type(); + } + } + + Variant& operator=(const Variant& other) { + if (&other == this) { + return *this; + } + if (this->type() != NO_TYPE) { + this->doDestroy(); + } + if (other.type() != NO_TYPE) { + other.copy(this->data()); + unsafeType() = other.type(); + } + return *this; + } + + Variant(Variant&& other) { + if (other.type() != NO_TYPE) { + other.move(this->data()); + unsafeType() = other.type(); + } else { + unsafeType() = other.type(); + } + } + + Variant& operator=(Variant&& other) { + if (&other == this) { + return *this; + } + if (this->type() != NO_TYPE) { + this->doDestroy(); + } + if (other.type() != NO_TYPE) { + other.move(this->data()); + unsafeType() = other.type(); + } + return *this; + } + + ~Variant() { + if (type() != NO_TYPE) { + this->doDestroy(); + } + } + + template + Variant(const T& t) : Variant() { + this->assign(t); + } + + template + T& ref() { + return *ptr(); + } + + template + const T& cref() const { + auto ptr = cptr(); + if (ptr == 0) { + throw std::logic_error("jngen::Variant: taking a reference for" + " a type which is not active now"); + } + return *ptr; + } + + bool operator==(const Variant& v) const { return compareTo(v) == 0; } + bool operator!=(const Variant& v) const { return compareTo(v) != 0; } + bool operator< (const Variant& v) const { return compareTo(v) < 0; } + bool operator> (const Variant& v) const { return compareTo(v) > 0; } + bool operator<=(const Variant& v) const { return compareTo(v) <= 0; } + bool operator>=(const Variant& v) const { return compareTo(v) >= 0; } + + template + typename V::return_type applyVisitor(V&& v) const { + return Base::applyVisitor(std::forward(v)); + } + + int type() const { return Base::type(); } + + void setType(int typeIndex) { + if (typeIndex == NO_TYPE) { + throw std::logic_error("jngen::Variant::setType():" + " calling with NO_TYPE is invalid"); + } + if (this->type() == typeIndex) { + return; + } + if (this->type() != NO_TYPE) { + this->doDestroy(); + } + Base::setType(typeIndex); + } + + bool empty() const { return Base::type() == NO_TYPE; } + + template + constexpr static bool hasType() { + return Base::template typeId() != NO_TYPE; + } + +private: + template + decay_t* ptr() { + using T = decay_t; + if (type() != this->template typeId()) { + if (type() != NO_TYPE) { + this->doDestroy(); + } + ::new(this->data()) T; + unsafeType() = this->template typeId(); + } + return reinterpret_cast(this->data()); + } + + template + const decay_t* cptr() const { + using T = decay_t; + if (type() != this->template typeId()) { + return nullptr; + } + return reinterpret_cast(this->data()); + } + + int& unsafeType() { + return Base::type(); + } + + int compareTo(const Variant& other) const; +}; + +struct OstreamVisitor { + using return_type = void; + + template + void operator()(const T& t) { + JNGEN_PRINT(t); + } + std::ostream& out; + const OutputModifier& mod; +}; + +template +struct CompareToVisitor { + using return_type = int; + + template + int operator()(const T& t) { + if (t == variant.template cref()) { + return 0; + } + return t < variant.template cref() ? -1 : 1; + } + + const V& variant; +}; + +template +int Variant::compareTo(const Variant& other) const { + if (empty()) { + return other.empty() ? 0 : -1; + } + if (other.empty()) { + return 1; + } + + if (type() != other.type()) { + return type() > other.type() ? -1 : 1; + } + return applyVisitor(CompareToVisitor{other}); + +} + +} // namespace variant_detail + +using variant_detail::Variant; + +template +JNGEN_DECLARE_SIMPLE_PRINTER(Variant, 5) { + if (t.type() == jngen::variant_detail::NO_TYPE) { + out << "{empty variant}"; + } else { + t.applyVisitor(jngen::variant_detail::OstreamVisitor{out, mod}); + } +} + +} // namespace jngen + + +#include +#include +#include + +namespace jngen { + +template +class VariantArray : public GenericArray> { +public: + using Base = GenericArray>; + using BaseVariant = Variant; + + using Base::Base; + + VariantArray() {} + + /* implicit */ VariantArray(const Base& base) : + Base(base) + { } + + template()>::type> + VariantArray(const std::vector& other) { + std::copy(other.begin(), other.end(), std::back_inserter(*this)); + } + + template()>::type> + VariantArray(std::vector&& other) { + std::move(other.begin(), other.end(), std::back_inserter(*this)); + GenericArray().swap(other); + } + + template()>::type> + operator GenericArray() const + { + return GenericArray(this->begin(), this->end()); + } + + bool hasNonEmpty() const { + for (const auto& x: *this) { + if (!x.empty()) { + return true; + } + } + return false; + } + + int anyType() const { + for (const auto& x: *this) { + if (!x.empty()) { + return x.type(); + } + } + return 0; + } + +}; + +} // namespace jngen + +#include +#include + + +namespace jngen { + +#define JNGEN_DEFAULT_WEIGHT_TYPES int, double, std::string, char, std::pair + +#if defined(JNGEN_EXTRA_WEIGHT_TYPES) +#define JNGEN_WEIGHT_TYPES JNGEN_DEFAULT_WEIGHT_TYPES , JNGEN_EXTRA_WEIGHT_TYPES +#else +#define JNGEN_WEIGHT_TYPES JNGEN_DEFAULT_WEIGHT_TYPES +#endif + +using Weight = Variant; +using WeightArray = VariantArray; + +} // namespace jngen + +using jngen::Weight; +using jngen::WeightArray; + + +#include +#include +#include +#include +#include +#include + +namespace jngen { + +class GenericGraph { +public: + virtual ~GenericGraph() {} + + virtual int n() const { return adjList_.size(); } + virtual int m() const { return numEdges_; } + + bool directed() const { return directed_; } + + // u, v: labels + virtual void addEdge(int u, int v, const Weight& w = Weight{}); + virtual bool isConnected() const { return dsu_.isConnected(); } + + virtual int vertexLabel(int v) const { return vertexLabel_.at(v); } + virtual int vertexByLabel(int v) const { return vertexByLabel_.at(v); } + + // v: label + // return: array