CSES Road Construction
// compile: make data
// run: ./data < data.in
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#ifdef LOCAL
#include <debug/codeforces.h>
#define debug(x...) _debug_print(#x, x);
#define Debug(x...) _debug_print_format(#x, x);
#else
#define debug(x...)
#define Debug(x...)
#endif
template<typename...Args> void print_(Args...args){((cout<<args<<" "),...)<<endl;}
#define rep(i,a,b) for(int i=(a);i<(int)(b);++i)
#define sz(v) ((int)(v).size())
#define print(...) print_(__VA_ARGS__);
#define FIND(a, x) ((find(a.begin(),a.end(),(x))!=a.end())?1:0)
#define cmin(x,...) x=min({(x), __VA_ARGS__})
#define cmax(x,...) x=max({(x), __VA_ARGS__})
#define INTMAX (int)(9223372036854775807)
#define INF (int)(1152921504606846976)
#define double long double
#define int long long
#define MAXN 200010

struct DSU {
    vector<int> parent, rank, s;
    DSU(int n) {
        parent.resize(n);
        rank.resize(n);
        s.resize(n, 1);
        rep(i, 0, n) parent[i] = i;
    }
    int find(int x) {
        if (parent[x] != x) parent[x] = find(parent[x]);
        return parent[x];
    }
    void unite(int x, int y) {
        int rx = find(x), ry = find(y);
        if (rx == ry) return;
        if (rank[rx] < rank[ry]) parent[rx] = ry, s[ry] = s[rx] + s[ry];
        else if (rank[rx] > rank[ry]) parent[ry] = rx, s[rx] = s[rx] + s[ry];
        else parent[ry] = rx, ++rank[rx], s[rx] = s[rx] + s[ry];
    }
    int get_size(int x) {
        return s[find(x)];
    }
};

int32_t main() {
    ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);

    int n, q; cin >> n >> q;
    DSU dsu(n);
    int total = n, maxsize = 1;
    while (q--) {
        int u, v; cin >> u >> v; --u, --v;
        if (dsu.find(u) != dsu.find(v)) {
            dsu.unite(u, v);
            --total, cmax(maxsize, dsu.get_size(u));
        }
        cout << total << " " << maxsize << endl;
    }

    return 0;
}
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Source: github.com/k4yt3x/flowerhd
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