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// unions[i] >= 0 => unions[i] = parent
// unions[i] < 0 => unions[i] = -height
vector<int> unions;
void init(int n) { //Initialisieren
unions.assign(n, -1);
}
int findSet(int n) { // Pfadkompression
if (unions[n] < 0) return n;
return unions[n] = findSet(unions[n]);
}
void linkSets(int a, int b) { // Union by rank.
if (unions[b] > unions[a]) swap(a, b);
if (unions[b] == unions[a]) unions[b]--;
unions[a] = b;
}
void unionSets(int a, int b) { // Diese Funktion aufrufen.
if (findSet(a) != findSet(b)) linkSets(findSet(a), findSet(b));
}
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