#include using namespace std; using ull = unsigned long long; struct Solver { int n, q; int B; // heavy threshold int W; // words in a bitset = (n+63)/64 vector> adj; vector deg; vector isHeavy; vector hId; vector> hBits; // bitsets for heavy rows vector> hDiff; // hDiff[i][j] = |heavy_i \ heavy_j| vector heavyRows; // heavyRows[i] = row id vector tag; int timer; set> ord; // (degree, row id) long long bad; // number of incomparable adjacent pairs Solver(int n_, int q_) : n(n_), q(q_) { B = max(1, (int)std::sqrt((double)q)); W = (n + 63) >> 6; adj.assign(n, {}); deg.assign(n, 0); isHeavy.assign(n, 0); hId.assign(n, -1); heavyRows.clear(); tag.assign(n, 0); timer = 1; ord.clear(); for (int i = 0; i < n; ++i) ord.insert({0, i}); bad = 0; } // return true iff N(a) ⊆ N(b) or N(b) ⊆ N(a) bool comp(int a, int b) { if (a == b) return true; if (deg[a] > deg[b]) swap(a, b); // a is the smaller (or equal) set if (deg[a] > B) { // both are heavy int ha = hId[a], hb = hId[b]; return hDiff[ha][hb] == 0; // a ⊆ b } if (isHeavy[b]) { // a light, b heavy const auto &bits = hBits[hId[b]]; for (int col : adj[a]) { if ( ((bits[col >> 6] >> (col & 63)) & 1ULL) == 0 ) return false; } return true; } // both light ++timer; for (int col : adj[b]) tag[col] = timer; for (int col : adj[a]) if (tag[col] != timer) return false; return true; } void makeHeavy(int r) { int id = (int)hBits.size(); hId[r] = id; isHeavy[r] = 1; vector bits(W, 0); for (int col : adj[r]) bits[col >> 6] |= 1ULL << (col & 63); hBits.push_back(move(bits)); for (auto &row : hDiff) row.push_back(0); hDiff.emplace_back(hBits.size(), 0); for (int hi = 0; hi < id; ++hi) { int common = 0; for (int col : adj[r]) { if ( (hBits[hi][col >> 6] >> (col & 63)) & 1ULL ) ++common; } hDiff[id][hi] = deg[r] - common; // r \ h hDiff[hi][id] = deg[heavyRows[hi]] - common; // h \ r } heavyRows.push_back(r); } void addHeavyEdge(int r, int c) { int id = hId[r]; for (int hi = 0; hi < (int)hBits.size(); ++hi) { if (hi == id) continue; if ( (hBits[hi][c >> 6] >> (c & 63)) & 1ULL ) { --hDiff[hi][id]; // hi had c, r did not, now it does } else { ++hDiff[id][hi]; // r gains c which hi lacks } } hBits[id][c >> 6] |= 1ULL << (c & 63); } void addEdge(int r, int c) { adj[r].push_back(c); ++deg[r]; if (isHeavy[r]) { addHeavyEdge(r, c); } else if (deg[r] > B) { makeHeavy(r); } } string answerQuery(int r, int c) { // 1) remove r from the degree order, updating the counter auto it = ord.find({deg[r], r}); int oldL = -1, oldR = -1; if (it != ord.begin()) { auto it2 = it; --it2; oldL = it2->second; } auto itNxt = next(it); if (itNxt != ord.end()) oldR = itNxt->second; if (oldL != -1 && !comp(oldL, r)) --bad; if (oldR != -1 && !comp(r, oldR)) --bad; if (oldL != -1 && oldR != -1 && !comp(oldL, oldR)) ++bad; ord.erase(it); // 2) actually color the cell black addEdge(r, c); // 3) insert r with its new degree and update the counter auto ret = ord.insert({deg[r], r}); auto it2 = ret.first; int newL = -1, newR = -1; if (it2 != ord.begin()) { auto it3 = it2; --it3; newL = it3->second; } auto it4 = next(it2); if (it4 != ord.end()) newR = it4->second; if (newL != -1 && newR != -1 && !comp(newL, newR)) --bad; if (newL != -1 && !comp(newL, r)) ++bad; if (newR != -1 && !comp(r, newR)) ++bad; return bad == 0 ? "YES" : "NO"; } }; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int T; if (!(cin >> T)) return 0; while (T--) { int n, q; cin >> n >> q; Solver solver(n, q); for (int i = 0; i < q; ++i) { int r, c; cin >> r >> c; --r; --c; cout << solver.answerQuery(r, c) << '\n'; } } return 0; }