Add solution for 2016 Day 24
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@@ -0,0 +1,5 @@
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###########
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#0.1.....2#
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#.#######.#
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#4.......3#
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###########
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+59
-12
@@ -2,30 +2,77 @@
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namespace y2016::day24
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namespace y2016::day24
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{
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{
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REGISTER_DAY(2016, Day24, std::vector<int>, int);
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REGISTER_DAY(2016, Day24, Array2D<char>, int);
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REGISTER_TEST_EXAMPLE(2016, Day24, ExampleInput, 1, 0);
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REGISTER_TEST_EXAMPLE(2016, Day24, ExampleInput, 1, 14);
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REGISTER_TEST(2016, Day24, Input, 1, 0);
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REGISTER_TEST(2016, Day24, Input, 1, 448);
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REGISTER_TEST_EXAMPLE(2016, Day24, ExampleInput, 2, 0);
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REGISTER_TEST_EXAMPLE(2016, Day24, ExampleInput, 2, 20);
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REGISTER_TEST(2016, Day24, Input, 2, 0);
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REGISTER_TEST(2016, Day24, Input, 2, 672);
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READ_INPUT(input)
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READ_INPUT(input)
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{
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{
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std::vector<int> vec;
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return Input::ReadArray2D(input);
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std::string str;
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while (getline(input, str))
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{
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}
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}
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return vec;
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struct State
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{
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Index2D pos;
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char goalChar;
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bool operator<(const State& other) const
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{
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return pos < other.pos;
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}
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};
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std::vector<std::pair<int, State>> Branch(const Array2D<char>& map, const State& state)
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{
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std::vector<std::pair<int, State>> branches;
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for (const auto& pos : map.GetNeighbors(state.pos, false))
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{
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if (map[pos] != '#')
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branches.emplace_back(1, State{pos, state.goalChar});
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}
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return branches;
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}
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bool Goal(const Array2D<char>& map, const State& state)
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{
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return map[state.pos] == state.goalChar;
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}
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Graph<char, int> GetGraph(const Array2D<char>& map)
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{
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std::vector<Index2D> positions(10);
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for (auto it = map.begin(); it != map.end(); it++)
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{
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if (*it >= '0' && *it <= '9')
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{
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positions[*it - '0'] = it.index;
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}
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}
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while (!positions.back().IsValid())
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positions.pop_back();
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Graph<char, int> graph;
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for (size_t i = 0; i < positions.size(); i++)
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{
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for (size_t j = i + 1; j < positions.size(); j++)
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{
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int distance = Helper::Dijkstras(map, State{positions[i], (char)(j + '0')}, Branch, Goal);
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graph.AddTwoWayEdge(i + '0', j + '0', distance);
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}
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}
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return graph;
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}
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}
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OUTPUT1(input)
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OUTPUT1(input)
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{
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{
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return 0;
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return Helper::TSP(GetGraph(input), '0', false);
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}
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}
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OUTPUT2(input)
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OUTPUT2(input)
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{
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{
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return 0;
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return Helper::TSP(GetGraph(input), '0', true);
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}
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}
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}
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}
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@@ -106,6 +106,11 @@ public:
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return graph.find(from)->second.find(to)->second;
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return graph.find(from)->second.find(to)->second;
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}
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}
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const std::map<Key, std::map<Key, Value>>& GetGraph() const
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{
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return graph;
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}
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const std::map<Key, Value>& GetPaths(const Key& from) const
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const std::map<Key, Value>& GetPaths(const Key& from) const
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{
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{
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return graph.find(from)->second;
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return graph.find(from)->second;
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+26
-22
@@ -506,17 +506,29 @@ struct Helper
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static void ResetTraceErrors();
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static void ResetTraceErrors();
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private:
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private:
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template <typename Key, typename Value, typename Compare, typename Eval>
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template <typename Key, typename Value>
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static Value TSPCalculatePath(const Graph<Key, Value>& graph, const std::vector<Key>& path, bool returnToStart)
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{
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int cost = 0;
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for (int i = 0; i < path.size() - 1; i++)
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{
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cost += graph.GetEdge(path[i], path[i + 1]);
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}
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if (returnToStart)
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cost += graph.GetEdge(path.back(), path.front());
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return cost;
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}
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template <typename Key, typename Value>
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static int TSP(const Graph<Key, Value>& graph,
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static int TSP(const Graph<Key, Value>& graph,
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const std::set<Key>& nodesLeft,
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const std::set<Key>& nodesLeft,
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const std::vector<Key>& order,
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const std::vector<Key>& order,
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Compare compare,
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bool returnToStart)
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Eval eval)
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{
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{
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if (nodesLeft.empty())
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if (nodesLeft.empty())
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{
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return TSPCalculatePath(graph, order, returnToStart);
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return eval(graph, order);
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}
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bool hasSet = false;
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bool hasSet = false;
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Value tsp;
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Value tsp;
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@@ -528,9 +540,9 @@ private:
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std::vector<Key> newOrder = order;
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std::vector<Key> newOrder = order;
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newOrder.emplace_back(node);
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newOrder.emplace_back(node);
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if (hasSet)
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if (hasSet)
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tsp = compare(tsp, TSP(graph, newNodesLeft, newOrder, compare, eval));
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tsp = std::min(tsp, TSP(graph, newNodesLeft, newOrder, returnToStart));
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else
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else
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tsp = TSP(graph, newNodesLeft, newOrder, compare, eval);
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tsp = TSP(graph, newNodesLeft, newOrder, returnToStart);
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hasSet = true;
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hasSet = true;
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}
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}
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return tsp;
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return tsp;
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@@ -539,28 +551,20 @@ private:
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public:
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public:
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// Key - Node type of the graph
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// Key - Node type of the graph
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// Value - Edge type of the graph
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// Value - Edge type of the graph
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// Compare - Value(Value, Value)
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template <typename Key, typename Value>
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// Given two solutions, which one is better
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static int TSP(const Graph<Key, Value>& graph, const Key& start, bool returnToStart)
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// Eval - int(const Graph&, const std::vector<Key>&)
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// Given the graph and order of the TSP, what is the total cost
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template <typename Key, typename Value, typename Compare, typename Eval>
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static int TSP(const Graph<Key, Value>& graph, const Key& start, Compare compare, Eval eval)
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{
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{
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std::set<Key> nodes = graph.GetNodes();
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std::set<Key> nodes = graph.GetNodes();
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nodes.erase(nodes.find(start));
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nodes.erase(nodes.find(start));
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return TSP(graph, nodes, std::vector<Key>{start}, compare, eval);
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return TSP(graph, nodes, std::vector<Key>{start}, returnToStart);
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}
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}
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// Key - Node type of the graph
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// Key - Node type of the graph
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// Value - Edge type of the graph
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// Value - Edge type of the graph
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// Compare - Value(Value, Value)
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template <typename Key, typename Value>
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// Given two solutions, which one is better
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static int TSP(const Graph<Key, Value>& graph, bool returnToStart)
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// Eval - int(const Graph&, const std::vector<Key>&)
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// Given the graph and order of the TSP, what is the total cost
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template <typename Key, typename Value, typename Compare, typename Eval>
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static int TSP(const Graph<Key, Value>& graph, Compare compare, Eval eval)
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{
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{
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return TSP(graph, graph.GetNodes(), std::vector<Key>{}, compare, eval);
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return TSP(graph, graph.GetNodes(), std::vector<Key>{}, returnToStart);
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}
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}
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static bool traceErrors;
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static bool traceErrors;
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