#include "testlib.h" #include using namespace std; // ---------- helpers ---------- static inline bool parse_ll(const string& s, long long& x) { if (s.empty()) return false; size_t i = 0; if (s[0] == '+' || s[0] == '-') i = 1; if (i == s.size()) return false; for (; i < s.size(); ++i) if (s[i] < '0' || s[i] > '9') return false; try { size_t pos = 0; long long v = stoll(s, &pos, 10); if (pos != s.size()) return false; x = v; return true; } catch (...) { return false; } } static inline bool parse_int32(const string& s, int& x) { long long t; if (!parse_ll(s, t)) return false; if (t < INT_MIN || t > INT_MAX) return false; x = (int)t; return true; } int main(int argc, char* argv[]) { setName("Mineral Pairing interactor (stdout version; WA on violations; ratio on AC; queries allowed after first '!')"); registerInteraction(argc, argv); // ---- Problem constraints ---- const int N_MIN = 1; const int N_MAX = 43000; const int QUERY_LIMIT = 1000000; // hard limit for answered '?' queries // ---- Read hidden instance from 'inf' ---- int n = inf.readInt(N_MIN, N_MAX, "n"); const int m = 2 * n; vector kind(m + 1); for (int x = 1; x <= m; ++x) { kind[x] = inf.readInt(1, n, format("kind[%d]", x).c_str()); } { vector cnt(n + 1, 0); for (int x = 1; x <= m; ++x) ++cnt[kind[x]]; for (int k = 1; k <= n; ++k) { ensuref(cnt[k] == 2, "Kind %d occurs %d times (expected exactly 2).", k, cnt[k]); } } // ---- Read optimal #queries from '.ans' ---- int optimal_queries = ans.readInt(0, QUERY_LIMIT, "optimal_queries"); // ---- Public output: announce n and FLUSH ---- cout << n << '\n' << flush; // ---- Device state ---- int queries = 0; // number of answered '?' queries vector present(m + 1, 0); // present[x] ? 1 : 0 vector have(n + 1, 0); // how many slices of kind k are present (0..2) int distinctKinds = 0; // # of kinds k with have[k] > 0 auto toggle = [&](int x) -> int { int k = kind[x]; if (!present[x]) { present[x] = 1; if (have[k] == 0) ++distinctKinds; ++have[k]; } else { present[x] = 0; --have[k]; if (have[k] == 0) --distinctKinds; } return distinctKinds; }; auto compute_ratio_unbounded = [&](int q_used, int q_opt) -> double { long long denom = 1000000LL - (long long)q_opt; long long numer = 1000000LL - (long long)q_used; if (denom <= 0) return (q_used <= 1000000 ? 1.0 : 0.0); double r = (double)numer / (double)denom; if (r < 0.0) r = 0.0; // if (r > 1.0) r = 1.0; return r; }; auto accept_with_ratio = [&](int q_used) { double ratio_unbounded = compute_ratio_unbounded(q_used, optimal_queries); double ratio = std::min(1.0, ratio_unbounded); long long your_score = 1000000LL - (long long)q_used; long long opt_score = 1000000LL - (long long)optimal_queries; quitp(ratio, "Accepted. Queries used: %d. Your score = 1000000 - %d = %lld. " "Optimal queries: %d. Optimal score = 1000000 - %d = %lld. Ratio: %.4f, RatioUnbounded: %.4f", q_used, q_used, your_score, optimal_queries, optimal_queries, opt_score, ratio, ratio_unbounded); }; // ---- Final answer tracking ---- vector used(m + 1, 0); int answered_pairs = 0; try { while (true) { string cmd = ouf.readToken(); if (cmd == "?") { string sx = ouf.readToken(); int x = 0; if (!parse_int32(sx, x)) { quitf(_pe, "Invalid query: expected integer for x, got '%s'.", compress(sx).c_str()); } if (x < 1 || x > m) { quitf(_wa, "Query out of bounds: x=%d (valid range is [1,%d]).", x, m); } if (queries >= QUERY_LIMIT) { quitf(_wa, "Too many queries: %d >= %d.", queries, QUERY_LIMIT); } int r = toggle(x); cout << r << '\n' << flush; ++queries; } else if (cmd == "!") { string sa = ouf.readToken(); string sb = ouf.readToken(); int a = 0, b = 0; if (!parse_int32(sa, a) || !parse_int32(sb, b)) { quitf(_pe, "Invalid answer line: expected integers for a and b, got '%s' and '%s'.", compress(sa).c_str(), compress(sb).c_str()); } if (a < 1 || a > m || b < 1 || b > m) { quitf(_wa, "Answer out of bounds: a=%d, b=%d (valid range is [1,%d]).", a, b, m); } if (a == b) { quitf(_wa, "Wrong Answer: pair has identical indices (%d,%d). Queries used: %d.", a, b, queries); } if (used[a] || used[b]) { quitf(_wa, "Wrong Answer: repeated slice index in answers " "(a=%d used=%d, b=%d used=%d). Queries used: %d.", a, (int)used[a], b, (int)used[b], queries); } if (kind[a] != kind[b]) { quitf(_wa, "Wrong Answer: slices %d and %d are different kinds (%d != %d). " "Queries used: %d.", a, b, kind[a], kind[b], queries); } used[a] = used[b] = 1; ++answered_pairs; if (answered_pairs == n) { // Ensure every index covered exactly once for (int x = 1; x <= m; ++x) { if (!used[x]) { quitf(_wa, "Wrong Answer: slice %d not covered by any pair. Queries used: %d.", x, queries); } } // Accepted only here accept_with_ratio(queries); } } else { quitf(_pe, "Expected '?' or '!' but got '%s'.", compress(cmd).c_str()); } } } catch (const exception&) { // If stream ended before giving n pairs, that's a WA by statement. if (answered_pairs < n) { quitf(_wa, "Wrong number of answers: expected %d pairs, got %d.", n, answered_pairs); } throw; } }