84 lines
1.7 KiB
C++
84 lines
1.7 KiB
C++
#ifndef ITALIANO_H_
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#define ITALIANO_H_
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#include "algorithm/roditty_zwick.h"
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#include "algorithm/tarjan.h"
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#include "graph/breadth_first_tree.h"
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#include <forward_list>
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using namespace graph;
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namespace algo {
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template<typename T>
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class Italiano : public RodittyZwick<T> {
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public:
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Italiano(Digraph<T> G) : G(G) {}
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void init();
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bool query(const T& u, const T& v);
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void remove(const T& u, const T& v);
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private:
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Digraph<T> G;
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// Transitive closure matrix, used to answer reachability queries in O(1)
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std::map<T, std::map<T, bool>> TC;
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// Each vertex's reachability tree
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std::map<T, BreadthFirstTree<T>> RT;
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// Incoming / Outgoing edges
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struct Edges {
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std::forward_list<T> inc;
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std::forward_list<T> out;
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};
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std::map<T, Edges> E;
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};
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template<typename T>
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void Italiano<T>::init() {
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for (const auto& u : std::views::keys(G.adjMatrix)) {
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for (const auto& v : G.adjMatrix[u]) {
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E[v].inc.push_front(u);
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E[u].out.push_front(v);
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TC[u][v] = false;
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}
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RT[u] = BreadthFirstTree(G, u);
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TC[u][u] = true;
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for (const auto& v : std::views::keys(RT[u].adjMatrix)) {
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TC[u][v] = true;
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}
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}
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}
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template<typename T>
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bool Italiano<T>::query(const T& u, const T& v) {
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return TC[u][v];
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}
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template<typename T>
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void Italiano<T>::remove(const T& u, const T& v) {
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std::map<T, std::set<T>> R;
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for (const auto& w : std::views::keys(G.adjMatrix)) {
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if (RT[w].contains(u, v)) {
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R[w].insert(v);
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}
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E[u].inc.remove(v);
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E[u].out.remove(u);
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G.remove(u, v);
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}
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//for (const auto& w : std::views::keys(G.adjMatrix)) {
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// while (R[w].size() > 0) {
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// auto pop = R[w].
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// }
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//}
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}
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} // namespace algo
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#endif |