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#include <vector>
class Dsu {
public:
explicit Dsu(int n) : node(n) {
for (int i = 0; i < n; i++) {
node[i] = {i, 0};
}
}
int find(int u) {
while (node[u].p != u) {
u = node[u].p = node[node[u].p].p;
}
return u;
}
bool merge(int a, int b) {
a = find(a), b = find(b);
if (a == b) {
return false;
}
if (node[a].r < node[b].r) {
std::swap(a, b);
}
node[b].p = a;
node[a].r += node[a].r == node[b].r;
return true;
}
private:
struct Node {
int p, r;
};
std::vector<Node> node;
};
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