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// unions[i] >= 0 => unions[i] = parent
// unions[i] < 0 => unions[i] = -size
vector<int> unions;
init(int n) {
unions.assign(n, -1);
}
int findSet(int i) {
if (unions[i] < 0) return i;
return unions[i] = findSet(unions[i]);
}
void linkSets(int a, int b) { // Union by size.
if (unions[b] > unions[a]) swap(a, b);
unions[b] += unions[a];
unions[a] = b;
}
void unionSets(int a, int b) {
if (findSet(a) != findSet(b)) linkSets(findSet(a),findSet(b));
}
void getSize(int i) {
return -unions[findSet(i)];
}
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