#define PROBLEM "https://yukicoder.me/problems/no/416" #include using namespace std; struct PersistentUnionFind{ int now; vector par, rank, time; vector>> num; const int INF = 1 << 30; PersistentUnionFind(const int &N) : par(N), rank(N), time(N), num(N){ now = 0; for(int i = 0; i < N; ++i){ par[i] = i; num[i].emplace_back(0, 1); } fill(rank.begin(), rank.begin() + N, 0); fill(time.begin(), time.begin() + N, INF); } int root(const int &x, const int &t){ if(t < time[x]) return x; return root(par[x], t); } void unite(const int &x, const int &y){ ++now; int rx = root(x, now); int ry = root(y, now); if(rx == ry) return; if(rank[rx] < rank[ry]) swap(rx, ry); num[rx].emplace_back(now, size(rx, now) + size(ry, now)); par[ry] = rx; time[ry] = now; if(rank[rx] == rank[ry]) ++rank[rx]; } bool same(const int &x, const int &y, const int &t){ int rx = root(x, t); int ry = root(y, t); return rx == ry; } int size(const int &x, const int &t){ int rx = root(x, t); int ok = 0, ng = num[rx].size(); while(abs(ok - ng) > 1){ int mid = (ok + ng) / 2; if(num[rx][mid].first <= t){ ok = mid; }else{ ng = mid; } } return num[rx][ok].second; } }; int main(){ int n, m, q; cin >> n >> m >> q; PersistentUnionFind tree(n); vector> p1, p2; set> s; for(int i = 0; i < m; i++){ int a, b; cin >> a >> b; a--; b--; p1.emplace_back(a, b); } for(int i = 0; i < q; i++){ int c, d; cin >> c >> d; c--; d--; p2.emplace_back(c, d); s.insert({c, d}); } for(int i = 0; i < m; i++){ auto [a, b] = p1[i]; if(s.find({a, b}) == s.end()){ tree.unite(a, b); } } for(int i = q - 1; i >= 0; i--){ auto [a, b] = p2[i]; tree.unite(a, b); } for(int i = 1; i < n; i++){ if(!tree.same(0, i, m)){ cout << 0 << "\n"; continue; }else if(tree.same(0, i, m - q)){ cout << -1 << "\n"; continue; } int ok = m, ng = m - q; while(abs(ok - ng) > 1){ int mid = (ok + ng) / 2; if(tree.same(0, i, mid)){ ok = mid; }else{ ng = mid; } } cout << m - ok + 1 << "\n"; } }