// 1つ消して2つ追加できるところをひたすら探す #include #include #include #include #include #include using namespace std; #include std::mt19937 rng(159376); using Tri = tuple; int rnd(int n) { return uniform_int_distribution(0, n - 1)(rng); } int main() { cin.tie(nullptr), ios::sync_with_stdio(false); auto START = std::chrono::system_clock::now(); int N, M; cin >> N >> M; vector edges; for (int i = 0; i < M; i++) { int u, v, w; cin >> u >> v >> w; u--, v--, w--; edges.emplace_back(u, v, w); } std::shuffle(edges.begin(), edges.end(), rng); vector best_solution; for (int h = 0; h < M; h++) { vector tmp; atcoder::dsu uf(N); for (int t = 0; t < M; t++) { int i = (h + t) % M; auto [u, v, w] = edges[i]; if (!uf.same(u, v) and !uf.same(v, w) and !uf.same(u, w)) { uf.merge(u, v), uf.merge(v, w); tmp.emplace_back(i); } } if (best_solution.size() < tmp.size()) best_solution = tmp; } vector is_in(M); for (auto i : best_solution) is_in[i] = 1; int ret = accumulate(is_in.begin(), is_in.end(), 0); while (true) { int64_t spent_ms = std::chrono::duration_cast(std::chrono::system_clock::now() - START).count(); if (spent_ms > 900) break; int i = rnd(M), j = rnd(M), k = rnd(M); if (i == j or j == k or k == i or is_in[i] + is_in[j] + is_in[k] != 1) continue; is_in[i] ^= 1; is_in[j] ^= 1; is_in[k] ^= 1; atcoder::dsu uf(N); bool good = true; for (int e = 0; e < M; e++) { if (!is_in[e]) continue; auto [u, v, w] = edges[e]; if (uf.same(u, v) or uf.same(v, w) or uf.same(w, u)) { good = false; break; } uf.merge(u, v), uf.merge(v, w); } if (good) { ret++; cerr << "Improved: " << ret << endl; } else { is_in[i] ^= 1; is_in[j] ^= 1; is_in[k] ^= 1; } } cout << ret << '\n'; }