16
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586b3244a4
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36
2022/16.cpp
36
2022/16.cpp
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@ -34,6 +34,12 @@ namespace {
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namespace phx = boost::phoenix;
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namespace qi = boost::spirit::qi;
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/// @brief The starting room as defined in the problem statement
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constexpr char const* STARTING_ROOM = "AA";
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/// @brief Arbitrary number of valves this solution supports
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constexpr std::size_t MAX_VALVES = 64;
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/// @brief Array of distances from one node to another.
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/// @tparam T distance type
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///
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@ -55,15 +61,14 @@ auto ShortestDistances(distance_array<T> & dist) -> void
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for (auto const k : range) {
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for (auto const i : range) {
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for (auto const j : range) {
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auto const new_dist = dist[i][k] + dist[k][j];
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auto & old_dist = dist[i][j];
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if (old_dist > new_dist) old_dist = new_dist;
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auto const d_ikj = dist[i][k] + dist[k][j];
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auto & d_ij = dist[i][j];
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if (d_ij > d_ikj) d_ij = d_ijk;
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}
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}
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}
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}
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/// @struct Room
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/// @brief A single record from the problem input.
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struct Room {
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/// @brief Name of the room
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@ -122,7 +127,6 @@ auto FlowsFirst(
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) -> std::size_t
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{
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using namespace phx::placeholders;
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auto const zeros = boost::range::partition(rooms, phx::bind(&Room::flow, arg1) > 0);
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return std::distance(boost::begin(rooms), zeros);
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}
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@ -134,7 +138,7 @@ auto GenerateDistances(
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std::vector<Room> const& rooms
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) -> std::pair<std::size_t, distance_array<std::uint64_t>>
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{
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auto const N = rooms.size();
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auto const N {rooms.size()};
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// Associate the names and indexes of each room
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std::unordered_map<std::string, std::size_t> names;
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@ -144,15 +148,14 @@ auto GenerateDistances(
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distance_array<std::uint64_t> distances{boost::extents[N][N]};
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// N is longer than any optimal distance by at least 1
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std::fill_n(distances.data(), distances.num_elements(), N);
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for (auto const i : boost::irange(rooms.size())) {
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auto & room = rooms[i];
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auto di = distances[i];
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// Default value: N is longer than any optimal distance by at least 1
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boost::range::fill(di, N);
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// each room is one away from adjacent rooms
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for (auto const& name : room.connections) {
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for (auto const& name : rooms[i].connections) {
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di[names[name]] = 1;
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}
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@ -162,13 +165,12 @@ auto GenerateDistances(
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ShortestDistances(distances);
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return {names.at("AA"), std::move(distances)};
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return {names.at(STARTING_ROOM), std::move(distances)};
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}
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/// @brief Bitset used to track which valves have been turned on
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using Valves = std::bitset<64>;
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using Valves = std::bitset<MAX_VALVES>;
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/// @struct State
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/// @brief Intermediate states for depth-first search in Routes
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struct State {
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/// @brief Time remaining
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@ -194,11 +196,15 @@ auto Routes(
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distance_array<std::uint64_t> const& distances
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) -> std::unordered_map<Valves, std::uint64_t>
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{
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if (rooms.size() > MAX_VALVES) {
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throw std::runtime_error{"Too many valves"};
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}
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// Maximal flow seen at each set of open valves
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std::unordered_map<Valves, std::uint64_t> result;
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// Remaining states for depth first search
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std::vector<State> states { State{initial_time, 0, start, {}} };
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std::vector<State> states {{initial_time, 0, start, {}}};
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while (!states.empty()) {
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auto const state = states.back();
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states.pop_back();
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@ -53,12 +53,12 @@ namespace
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case 't':
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result.run_tests = true;
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break;
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case ':':
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std::cerr << "Missing argument to -" << char(optopt) << std::endl;
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return {};
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case 'h':
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result.print_help = true;
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break;
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case ':':
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std::cerr << "Missing argument to -" << char(optopt) << std::endl;
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return {};
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case '?':
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default:
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std::cerr << "Unknown flag -" << char(optopt) << std::endl;
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