vector<route_weight> MST_KRUSHAL(int N, min_priority_queue Q)
{
vector<route_weight> mst_routes;
//Creating the disjoint set forest for each vertex. This stores information whether two nodes are connected by a path or not.
map<int,int> connected;
for (int i = 1; i <= N; ++i)
{
connected[i]=i;
}
while(!Q.empty())
{
int u = Q.top().second.first, v = Q.top().second.second, w = Q.top().first;
//parent_x stores information about the set that x belongs to.
int parent_u = connected[u], parent_v = connected[v];
if(parent_u != parent_v) //if u and v are not connected by a path.
{
mst_routes.push_back(make_pair(w, make_pair(u, v)));
for (int i = 1; i <= N; ++i) // UNION(u,v)
{
if(connected[i] == parent_v)
{
connected[i] = parent_u;
}
}
}
Q.pop();
}
return mst_routes;
}
std::vector<unsigned> extract10fromqueue(min_priority_queue &queue) {
std::vector<unsigned> avector;
for (int i = 0; i < 2; i++) {
if (!queue.empty()) {
avector.push_back((queue.top()).first);
queue.pop();
}
}
return avector;
}