#include <iostream>
#include <vector>

using namespace std;

class Dsu {
public:
    struct Node {
        size_t parent, size;
    };

    vector<Node> nodes;

    explicit Dsu(const size_t size) : nodes(size) {
        for (size_t i = 0; i < size; i++) {
            nodes[i] = {.parent = i, .size = 0};
        }
    }

    size_t find(const size_t x) {
        if (nodes[x].parent == x) { return x; }
        return nodes[x].parent = find(nodes[x].parent);
    }

    void unite(size_t x, size_t y) {
        if ((x = find(x)) == (y = find(y))) { return; }
        if (nodes[x].size > nodes[y].size) { swap(x, y); }
        nodes[x].parent = y;
        nodes[y].size += nodes[x].size;
    }
};

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    return 0;
}