#include <bits/stdc++.h>
using namespace std;
struct UFS {
int sz;
vector<int> rank, p;
void link(int x, int y) {
if (x == y)
return;
if (rank[x] > rank[y])
p[y] = x;
else
p[x] = y;
if (rank[x] == rank[y])
rank[y]++;
}
void init(int n) {
sz = n;
rank.resize(n + 1);
p.resize(n + 1);
for (int i = 0; i <= sz; i++) {
p[i] = i;
rank[i] = 0;
}
}
int find(int x) {
return x == p[x] ? x : (p[x] = find(p[x]));
}
void unin(int x, int y) {
link(find(x), find(y));
}
void compress() {
for (int i = 0; i < sz; i++)
find(i);
}
};
//种类并查集 merge(y + n, x),merge(x + n, y)