Created
December 7, 2012 09:04
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A quick implementation of Prim's algorithm to find the MST of a (connected) input graph.
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| #include <iostream> | |
| #include <fstream> | |
| #include <vector> | |
| #include <algorithm> | |
| #include <cassert> | |
| namespace std { } | |
| using namespace std; | |
| struct edge | |
| { | |
| size_t u, v; | |
| int weight; | |
| }; | |
| bool edge_less(const edge& a, const edge& b) | |
| { | |
| return a.weight < b.weight; | |
| } | |
| istream& operator>>(istream& is, edge& e) | |
| { | |
| return is >> e.u >> e.v >> e.weight; | |
| } | |
| long long prim_mst(vector<bool>& v, vector<bool>& v_new, vector<edge>& t, vector<edge>& t_new) | |
| { | |
| t_new.clear(); | |
| while (v != v_new) | |
| { | |
| for (size_t i = 0; i < t.size(); ++i) | |
| { | |
| edge e = t[i]; | |
| if (v_new[e.u] != false && v_new[e.v] == false) | |
| { | |
| v_new[e.v] = true; | |
| t_new.push_back(e); | |
| break; | |
| } | |
| else if (v_new[e.v] != false && v_new[e.u] == false) | |
| { | |
| v_new[e.u] = true; | |
| t_new.push_back(e); | |
| break; | |
| } | |
| } | |
| } | |
| long long weight = 0; | |
| for (size_t i = 0; i < t_new.size(); ++i) | |
| { | |
| weight += t_new[i].weight; | |
| } | |
| return weight; | |
| } | |
| int main(int argc, char* argv[]) | |
| { | |
| vector<edge> t, t_new; | |
| vector<bool> v, v_new; | |
| size_t nodes = 0, edges = 0; | |
| if (argc > 1) | |
| { | |
| ifstream ifs; | |
| ifs.open(argv[1]); | |
| ifs >> nodes >> edges; | |
| v.resize(nodes); | |
| v_new.resize(nodes); | |
| for (size_t i = 0; i < nodes; v[i] = v_new[i] = false, ++i); /* Clear the nodes. */ | |
| edge e = {0}; | |
| while (ifs >> e) | |
| { | |
| --e.u; --e.v; | |
| t.push_back(e); | |
| v[e.u] = v[e.v] = true; | |
| } | |
| ifs.close(); | |
| } | |
| assert(edges == t.size()); | |
| sort(t.begin(), t.end(), edge_less); /* Sort based on weights. */ | |
| v_new[t[0].u] = true; /* Select the a node from the first edge. */ | |
| long long weight = prim_mst(v, v_new, t, t_new); | |
| assert(weight == -3612829); | |
| /* Select another starting node to check that we calculate the same weight. */ | |
| for (size_t i = 0; i < nodes; v_new[i] = false, ++i); | |
| v_new[t[0].v] = true; | |
| assert(weight == prim_mst(v, v_new, t, t_new)); | |
| cout << "Number of input edges: " << edges << endl; | |
| cout << "Number of input nodes: " << nodes << endl; | |
| cout << "Number of output edges: " << t_new.size() << endl; | |
| cout << "Minimum Spanning Tree Weight: " << weight << endl; | |
| cin.get(); | |
| return 0; | |
| } |
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