#include "testlib.h" #include using namespace std; struct PairHash { size_t operator()(const pair& p) const noexcept { return (size_t)p.first * 1000003u ^ (size_t)p.second; } }; struct Tree { int n, LOG; vector>> adj; // (to, w) vector depth; vector dist; vector> up; // up[k][v] vector visited; Tree() {} Tree(int n): n(n) { adj.assign(n + 1, {}); } void addEdge(int u, int v, int w) { adj[u].push_back({v, w}); adj[v].push_back({u, w}); } void build(int root = 1) { depth.assign(n + 1, 0); dist.assign(n + 1, 0); visited.assign(n + 1, false); LOG = 1; while ((1ll << LOG) <= n) ++LOG; up.assign(LOG, vector(n + 1, 0)); // BFS to set parent (up[0]), depth, dist queue q; vector parent(n + 1, 0); parent[root] = root; up[0][root] = root; depth[root] = 0; dist[root] = 0; visited[root] = true; q.push(root); while (!q.empty()) { int u = q.front(); q.pop(); visited[u] = true; for (auto [v, w] : adj[u]) { if (v == parent[u] || visited[v]) continue; parent[v] = u; up[0][v] = u; depth[v] = depth[u] + 1; dist[v] = dist[u] + w; visited[v] = true; q.push(v); } } for (int k = 1; k < LOG; ++k) { for (int v = 1; v <= n; ++v) { up[k][v] = up[k - 1][ up[k - 1][v] ]; } } } int lca(int a, int b) const { if (depth[a] < depth[b]) swap(a, b); int diff = depth[a] - depth[b]; for (int k = LOG - 1; k >= 0; --k) { if ((diff >> k) & 1) a = up[k][a]; } if (a == b) return a; for (int k = LOG - 1; k >= 0; --k) { if (up[k][a] != up[k][b]) { a = up[k][a]; b = up[k][b]; } } return up[0][a]; } long long distance(int u, int v) const { int w = lca(u, v); return dist[u] + dist[v] - 2LL * dist[w]; } ~Tree(){ adj.clear(); depth.clear(); dist.clear(); up.clear(); } }; int main(int argc, char* argv[]) { registerInteraction(argc, argv); double score = 1.0; // case1: quitp(score, "Correct. Ratio: %.4f", score); // case2: quitp(score, "score ratio: %.4f.", score); // Read public data int T = inf.readInt(); // number of test cases println(T); // Echo to player double final_ratio = 0; // Score accumulation: average by group double total_ratio = 0.0; double total_unbounded_ratio = 0.0; bool flag_error = false; for (int tc = 1; tc <= T; ++tc) { int n = inf.readInt(); println(n); // Echo to player // Read hidden tree from .ans (non-adaptive) Tree tree(n); // For fast answer verification, prepare expectedEdges: key=(min(u,v), max(u,v)) -> w unordered_map, int, PairHash> expectedEdges; // expectedEdges.reserve((size_t).(n * 2)); for (int i = 0; i < n - 1; ++i) { int u = ans.readInt(); int v = ans.readInt(); int w = ans.readInt(); // if (u < 1 || u > n || v < 1 || v > n || u == v) { // quitf(_fail, "Secret tree invalid at test %d: edge (%d, %d, %d) out of range.", tc, u, v, w); // } // if (w < 1 || w > 10000) { // quitf(_fail, "Secret edge weight out of range at test %d: w=%d.", tc, w); // } int a = min(u, v), b = max(u, v); auto key = make_pair(a, b); // if (expectedEdges.count(key)) { // quitf(_fail, "Secret tree has duplicate edge at test %d: (%d, %d).", tc, a, b); // } expectedEdges[key] = w; tree.addEdge(u, v, w); } // Preprocess to answer distance queries in O(log n) tree.build(1); long long query_count = 0; long long limit_queries = n * (n + 1) / 2; // Interaction for this group while (query_count <= limit_queries) { string op = ouf.readWord(); if (op == "?") { int u = ouf.readInt(); int v = ouf.readInt(); if (u < 1 || u > n || v < 1 || v > n || u == v) { quitf(_wa, "Invalid query at test %d: u=%d, v=%d (must be 1..%d and u!=v).", tc, u, v, n); } ++query_count; long long d = tree.distance(u, v); println(d); } else if (op == "!") { // Read player's answer: 3*(n-1) integers unordered_set, PairHash> seen; // seen.reserve((size_t)(n * 2)); bool ok = true; string err = ""; for (int i = 0; i < n - 1; ++i) { int u = ouf.readInt(); int v = ouf.readInt(); int w = ouf.readInt(); if (u < 1 || u > n || v < 1 || v > n || u == v) { ok = false; err = "Answer has invalid edge endpoint."; } if (!ok) continue; int a = min(u, v), b = max(u, v); auto key = make_pair(a, b); if (seen.count(key)) { ok = false; err = "Answer has duplicate edge."; continue; } seen.insert(key); auto it = expectedEdges.find(key); if (it == expectedEdges.end()) { ok = false; err = "Answer contains non-existing edge."; continue; } if (it->second != w) { ok = false; err = "Answer edge weight mismatch."; continue; } } // If count is wrong or not connected, seen.size() != n-1 will trigger above logic, // Complete edge and weight match means consistent with hidden tree. if (!ok) { // Score 0 for this group, continue to next flag_error = true; total_ratio += 0.0; quitf(_wa, "Error is test %d: %s", tc, err.c_str()); } else { // Calculate score for this group (ratio in [0,1]) // - q <= 5n: ratio = 1 // - q >= n^2 / 3: ratio = 0 // - Linear interpolation long long q = query_count; long long full_thr = 5LL * n; long long zero_thr = (long long)n * (long long)n / 3LL; double raw_ratio = 0.0; if (zero_thr <= full_thr) { raw_ratio = (q <= full_thr) ? 1.0 : 0.0; } else { double denom = (double)(zero_thr - full_thr); raw_ratio = 1.0 - (double)(q - full_thr) / denom; } double ratio = std::min(1.0, std::max(0.0, raw_ratio)); double unbounded_ratio = std::max(0.0, raw_ratio); total_ratio += ratio; total_unbounded_ratio += unbounded_ratio; } // Move to next group break; } else { quitf(_wa, "Invalid operation at test %d: expected '?' or '!', got '%s'.", tc, op.c_str()); } } } final_ratio = flag_error ? 0 : total_ratio / (double)T; double final_unbounded_ratio = flag_error ? 0 : total_unbounded_ratio / (double)T; long long score_value = llround(final_unbounded_ratio * 10000.0); // Output score ratio [0,1] with human-readable info (not sent to player, only for judge log) quitp(final_ratio, "Value: %lld. Ratio: %.4f, RatioUnbounded: %.4f", score_value, final_ratio, final_unbounded_ratio); return 0; }