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#include <string>
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#include <iostream>
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#include <map>
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#include <kruskal.h>
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#include <list_graph.hh>
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using namespace std;
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using namespace hugo;
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class string_int_map : public map<string,int> {
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public:
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  int get(const string &s) {
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    // Bocs, ez igy gaaaany, de nem volt kedvem utananezni, hogy
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    // hogy is mukodik ez a map :)
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    if( count(s) == 0 ) {
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      operator[](s) = -1;
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    }
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    return operator[](s);
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  }
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  void set(const string &s, int i) {
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      operator[](s) = i;
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  }
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};
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int main() {
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  typedef ListGraph::NodeIt NodeIt;
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  typedef ListGraph::EdgeIt EdgeIt;
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  typedef ListGraph::EachNodeIt EachNodeIt;
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  typedef ListGraph::EachEdgeIt EachEdgeIt;
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  ListGraph G;
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  NodeIt s=G.addNode();
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  NodeIt v1=G.addNode();
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  NodeIt v2=G.addNode();
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  NodeIt v3=G.addNode();
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  NodeIt v4=G.addNode();
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  NodeIt t=G.addNode();
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  G.addEdge(s, v1);
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  G.addEdge(s, v2);
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  G.addEdge(v1, v2);
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  G.addEdge(v2, v1);
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  G.addEdge(v1, v3);
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  G.addEdge(v3, v2);
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  G.addEdge(v2, v4);
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  G.addEdge(v4, v3);
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  G.addEdge(v3, t);
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  G.addEdge(v4, t);
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  ListGraph::EdgeMap<double> edge_cost_map(G, 2);
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  ListGraph::EdgeMap<bool> tree_map(G);
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  double k0lts = MinCostTreeKruskal(G, edge_cost_map, tree_map);
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  cout << k0lts << endl;
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  return 0;
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}
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