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| using namespace std; | |
| struct Node { | |
| vector<pair<int,int>> edges; // (to, label 0/1) | |
| int next_trie[2]; | |
| Node() { next_trie[0] = next_trie[1] = 0; } | |
| }; | |
| int main() { | |
| ios::sync_with_stdio(false); | |
| cin.tie(nullptr); | |
| long long L, R; | |
| if (!(cin >> L >> R)) return 0; | |
| vector<pair<long long,int>> blocks; // (base, k) covering [base, base + 2^k - 1] | |
| long long x = L; | |
| while (x <= R) { | |
| int k = 0; | |
| while (true) { | |
| long long nextk = k + 1; | |
| long long size = 1LL << nextk; | |
| if ((x & (size - 1)) == 0 && x + size - 1 <= R) k = nextk; | |
| else break; | |
| } | |
| blocks.emplace_back(x, k); | |
| x += (1LL << k); | |
| } | |
| int maxk = 0; | |
| for (auto &b : blocks) maxk = max(maxk, b.second); | |
| vector<Node> nodes; | |
| nodes.reserve(500); | |
| nodes.push_back(Node()); // dummy to make 1-based | |
| int START = 1; | |
| nodes.push_back(Node()); // node 1: start | |
| int T = (int)nodes.size(); // terminal | |
| nodes.push_back(Node()); // node T | |
| // T has outdegree 0 | |
| // Build suffix chain nodes: Suf[d] means remaining d bits to emit arbitrarily | |
| vector<int> Suf(maxk + 1, 0); // Suf[0] unused, Suf[d] node id | |
| // We will build increasing d so transitions go to lower d | |
| for (int d = 1; d <= maxk; ++d) { | |
| int id = (int)nodes.size(); | |
| nodes.push_back(Node()); | |
| Suf[d] = id; | |
| int to = (d == 1 ? T : Suf[d-1]); | |
| // edges for both labels | |
| nodes[id].edges.emplace_back(to, 0); | |
| nodes[id].edges.emplace_back(to, 1); | |
| } | |
| auto ensure_child = [&](int u, int b) { | |
| if (nodes[u].next_trie[b] == 0) { | |
| int v = (int)nodes.size(); | |
| nodes.push_back(Node()); | |
| nodes[u].next_trie[b] = v; | |
| nodes[u].edges.emplace_back(v, b); | |
| } | |
| return nodes[u].next_trie[b]; | |
| }; | |
| auto bits_of = [&](long long p) { | |
| vector<int> bits; | |
| while (p > 0) { bits.push_back((int)(p & 1)); p >>= 1; } | |
| reverse(bits.begin(), bits.end()); | |
| if (bits.empty()) bits.push_back(0); // shouldn't happen for p>=1 | |
| return bits; | |
| }; | |
| for (auto &blk : blocks) { | |
| long long base = blk.first; | |
| int k = blk.second; | |
| long long p = base >> k; // prefix | |
| vector<int> bits = bits_of(p); // MSB to LSB | |
| int u = START; | |
| int m = (int)bits.size(); | |
| for (int i = 0; i < m - 1; ++i) { | |
| u = ensure_child(u, bits[i]); | |
| } | |
| int lastb = bits[m - 1]; | |
| // ensure trie child for deeper prefixes | |
| int v = ensure_child(u, lastb); | |
| // add extra parallel edge for this block to suffix or terminal | |
| int dest = (k > 0 ? Suf[k] : T); | |
| nodes[u].edges.emplace_back(dest, lastb); | |
| } | |
| int n = (int)nodes.size() - 1; | |
| cout << n << "\n"; | |
| for (int i = 1; i <= n; ++i) { | |
| int k = (int)nodes[i].edges.size(); | |
| cout << k; | |
| for (auto &e : nodes[i].edges) { | |
| cout << " " << e.first << " " << e.second; | |
| } | |
| cout << "\n"; | |
| } | |
| return 0; | |
| } |