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P11747.cpp
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int find(int x, int *parents) {
if(parents[x] != x)
parents[x] = find(parents[x], parents);
return parents[x];
}
bool _union(int x, int y, int *parents, int *ranks) {
int xRoot = find(x, parents);
int yRoot = find(y, parents);
if(xRoot == yRoot)
return false;
// x and y are not already in same set. Merge them.
if(ranks[xRoot] < ranks[yRoot])
parents[xRoot] = yRoot;
else if(ranks[xRoot] > ranks[yRoot])
parents[yRoot] = xRoot;
else {
parents[yRoot] = xRoot;
++ranks[xRoot];
}
return true;
}
typedef pair<long,PI> Edge;
int main() {
int N, M, a, b, w, parents[1000], ranks[1000];
Edge edges[25000];
while(true) {
cin >> N >> M;
if(N == 0 && M == 0)
return 0;
FORI(M) {
cin >> a >> b >> w;
edges[i] = Edge(w, PI(a,b));
}
sort(edges, edges+M);
bool first = true;
// Prepare Union-find structure (parents and ranks):
FORI(N) {
ranks[i] = 0;
parents[i] = i;
}
FORI(M) {
PI p = edges[i].second;
if(!_union(p.P1, p.P2, parents, ranks)) {
if(!first)
cout << " ";
first = false;
cout << edges[i].first;
}
}
if(first)
cout << "forest";
cout << endl;
} // while true
} // main