feat: new graph problems formatted.

metro/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

metro/input/1

@@ -0,0 +1,11 @@
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metro/input/10

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metro/input/11

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metro/input/13

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metro/maratona.cls

@@ -0,0 +1,188 @@
+\ProvidesPackage{maratona}
+\LoadClass[11pt]{article}
+
+% remove page numbers
+\pagenumbering{gobble}
+
+\RequirePackage{fancyhdr}
+
+\RequirePackage{tabularx,colortbl}
+
+%\RequirePackage{arial}
+\RequirePackage{ifpdf}
+\RequirePackage[T1]{fontenc}
+\RequirePackage[utf8]{inputenc}
+\RequirePackage[portuguese]{babel}
+\RequirePackage{graphics}
+\RequirePackage{graphicx}
+\RequirePackage{amssymb,amsmath,wrapfig}
+\RequirePackage{xcolor,colortbl}
+\RequirePackage{xcolor}
+\RequirePackage{ifthen}
+\oddsidemargin 0cm
+\evensidemargin -2cm
+\topmargin -1cm
+\textwidth 16cm
+\textheight 23cm
+
+\ifpdf
+\RequirePackage[pdftex]{hyperref}
+\else
+\RequirePackage[hypertex]{hyperref}
+\fi
+
+
+\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
+

metro/metro-tutorial.tex

@@ -0,0 +1,40 @@
+\documentclass[10pt]{article}
+\usepackage[utf8]{inputenc}
+\usepackage{amsmath,amsthm,amssymb}
+\usepackage{fullpage}
+\usepackage{url}
+\pagenumbering{gobble}
+\usepackage{hyperref}
+
+\title{ Tutorial: Metro}
+\author{OBI 2015}
+\date{}
+\begin{document}
+\maketitle
+O grafo do sistema tem uma propriedade importante: a estação central é a única
+estação com grau pelo menos $5$, pois dela saem todas as linhas radiais. As
+outras estações pertencem a caminhos radiais ou à linha circular. Mesmo uma
+estação onde uma radial encontra o círculo tem grau no máximo $4$.
+
+Primeiro encontramos essa estação central analisando os graus dos vértices.
+Depois removemos a central do grafo. O que resta é a linha circular com alguns
+caminhos pendurados nela, correspondentes aos trechos radiais antes ou depois do
+círculo.
+
+Para isolar somente a linha circular, fazemos uma poda de folhas:
+\begin{enumerate}
+    \item calcule o grau de cada vértice desconsiderando a estação central;
+    \item coloque em uma fila todos os vértices de grau $0$ ou $1$;
+    \item enquanto a fila não estiver vazia, remova o vértice da frente e reduza
+    o grau de seus vizinhos ainda não removidos;
+    \item quando algum vizinho passar a ter grau $1$, coloque-o na fila.
+\end{enumerate}
+
+Esse processo remove todos os caminhos que estão pendurados no ciclo. Os
+vértices que não foram removidos ao final são exatamente as estações da linha
+circular, então basta contá-los.
+
+\textbf{Complexidade de tempo:} $O(N + M)$.
+
+\textbf{Complexidade de espaço:} $O(N + M)$.
+\end{document}

metro/metro.tex

@@ -0,0 +1,91 @@
+\documentclass{maratona}
+
+\begin{document}
+\begin{ProblemaAutor}{}{Metro}{1}{256}{OBI 2015}
+
+As cidades da Cosmolândia usam sistemas de metrô com uma organização muito
+regular. Existe uma estação central, várias linhas radiais saindo dela, e uma
+linha circular que passa ao redor da estação central.
+
+Cada linha radial começa na estação central, segue sem cruzar as outras linhas
+radiais e encontra a linha circular em alguma estação. Depois desse encontro,
+ela ainda pode continuar até regiões mais afastadas da cidade.
+
+O sistema possui $N$ estações, numeradas de $1$ a $N$. Esses números não indicam
+a posição das estações. Você recebe apenas a lista de ligações diretas entre
+pares de estações e deve determinar por quantas estações passa a linha circular.
+
+\begin{figure}[h]
+    \centering
+    \includegraphics[width=0.7\textwidth]{image.png}
+    \caption{Exemplo de um sistema de metrô da Cosmolândia.}
+\end{figure}
+
+\Entrada
+
+A primeira linha contém dois inteiros $N$ e $M$ ($6 \le N \le 20000$,
+$0 \le M \le 20100$), indicando respectivamente o número de estações e o número
+de ligações diretas entre pares de estações.
+
+Cada uma das próximas $M$ linhas contém dois inteiros $P$ e $Q$
+($1 \le P, Q \le N$, $P \ne Q$), indicando que existe uma ligação direta entre
+as estações $P$ e $Q$.
+
+É garantido que o sistema descrito segue o padrão de metrô da Cosmolândia:
+existe uma única estação central, dela saem pelo menos $5$ e no máximo $100$
+linhas radiais, e há no máximo uma ligação direta entre qualquer par de
+estações.
+
+\Saida
+
+Imprima um único inteiro: o número de estações pelas quais passa a linha
+circular do sistema de metrô.
+
+\ExemploEntrada
+\begin{Exemplo}
+\texttt{6~10} & \texttt{5}\\
+\texttt{1~6} & \\
+\texttt{1~3} & \\
+\texttt{4~1} & \\
+\texttt{3~4} & \\
+\texttt{5~4} & \\
+\texttt{3~5} & \\
+\texttt{2~5} & \\
+\texttt{3~2} & \\
+\texttt{6~3} & \\
+\texttt{2~6} & \\
+\rowcolor{gray!20}\texttt{12~17} & \texttt{8}\\
+\rowcolor{gray!20}\texttt{7~1} & \\
+\rowcolor{gray!20}\texttt{9~3} & \\
+\rowcolor{gray!20}\texttt{5~1} & \\
+\rowcolor{gray!20}\texttt{7~12} & \\
+\rowcolor{gray!20}\texttt{7~3} & \\
+\rowcolor{gray!20}\texttt{4~10} & \\
+\rowcolor{gray!20}\texttt{3~2} & \\
+\rowcolor{gray!20}\texttt{6~8} & \\
+\rowcolor{gray!20}\texttt{10~5} & \\
+\rowcolor{gray!20}\texttt{7~6} & \\
+\rowcolor{gray!20}\texttt{2~11} & \\
+\rowcolor{gray!20}\texttt{7~10} & \\
+\rowcolor{gray!20}\texttt{12~4} & \\
+\rowcolor{gray!20}\texttt{8~9} & \\
+\rowcolor{gray!20}\texttt{3~12} & \\
+\rowcolor{gray!20}\texttt{1~8} & \\
+\rowcolor{gray!20}\texttt{7~4} & \\
+\end{Exemplo}
+
+
+
+\Notas
+
+No primeiro exemplo, a estação central é a estação $3$. Ao remover essa estação
+e as partes radiais que não pertencem ao círculo, sobram as estações
+$1, 6, 2, 5$ e $4$, portanto a linha circular passa por $5$ estações.
+
+No segundo exemplo, aplicar o mesmo processo deixa $8$ estações na linha
+circular.
+
+Problema adaptado da OBI 2015, Fase 1:
+\href{https://olimpiada.ic.unicamp.br/pratique/ps/2015/f1/metro/}{Metrô}.
+\end{ProblemaAutor}
+\end{document}

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