#ifdef __GNUC__ #pragma GCC optimize ("O3") #pragma GCC optimize ("unroll-loops") #pragma GCC target ("avx2") #endif #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef _MSC_VER #include #else #include #endif struct xorshift64 { unsigned long long int x = 88172645463325252ULL; inline unsigned short nextUShort() { x = x ^ (x << 7); return x = x ^ (x >> 9); } inline unsigned int nextUShortMod(unsigned long long int mod) { x = x ^ (x << 7); x = x ^ (x >> 9); return ((x & 0x0000ffffffffffff) * mod) >> 48; } inline unsigned int nextUInt() { x = x ^ (x << 7); return x = x ^ (x >> 9); } inline unsigned int nextUIntMod(unsigned long long int mod) { x = x ^ (x << 7); x = x ^ (x >> 9); return ((x & 0x00000000ffffffff) * mod) >> 32; } inline unsigned long long int nextULL() { x = x ^ (x << 7); return x = x ^ (x >> 9); } inline double nextDouble() { x = x ^ (x << 7); x = x ^ (x >> 9); return (double)x * 5.42101086242752217e-20; } }; struct timer { double t = 0.0; double lastStop = 0.0; bool stopped = false; timer() { restart(); } inline void restart() { t = now(); stopped = false; } inline void start() { if (stopped) { t += now() - lastStop; stopped = false; } } inline void stop() { if (!stopped) { lastStop = now(); stopped = true; } } inline double time() { if (stopped) return lastStop - t; else return now() - t; } inline double now() { #ifdef _MSC_VER #ifdef LOCAL return __rdtsc() * 2.857142857142857e-10; // 1 / 3.5e9, for local (Ryzen 9 3950X) #else //return __rdtsc() * 3.5714285714285715e-10; // 1 / 2.8e9, for AWS EC2 C3 (Xeon E5-2680 v2) //return __rdtsc() * 3.4482758620689656e-10; // 1 / 2.9e9, for AWS EC2 C4 (Xeon E5-2666 v3) //return __rdtsc() * 3.333333333333333e-10; // 1 / 3.0e9, for AWS EC2 C5 (Xeon Platinum 8124M / Xeon Platinum 8275CL) return __rdtsc() * 4.3478260869565215e-10; // 1 / 2.3e9, for yukicoder judge #endif #else unsigned long long l, h; __asm__ ("rdtsc" : "=a"(l), "=d"(h)); #ifdef LOCAL return (double)(l | h << 32) * 2.857142857142857e-10; // 1 / 3.5e9, for local (Ryzen 9 3950X) #else //return (double)(l | h << 32) * 3.5714285714285715e-10; // 1 / 2.8e9, for AWS EC2 C3 (Xeon E5-2680 v2) //return (double)(l | h << 32) * 3.4482758620689656e-10; // 1 / 2.9e9, for AWS EC2 C4 (Xeon E5-2666 v3) //return (double)(l | h << 32) * 3.333333333333333e-10; // 1 / 3.0e9, for AWS EC2 C5 (Xeon Platinum 8124M / Xeon Platinum 8275CL) return (double)(l | h << 32) * 4.3478260869565215e-10; // 1 / 2.3e9, for yukicoder judge #endif #endif } }; using namespace std; typedef long long int ll; typedef unsigned long long int ull; typedef pair Pii; typedef unsigned char uchar; const ll mod = 1000000007; timer theTimer; xorshift64 theRandom; mt19937 theMersenne(1); // hyper parameters // structs // enums // constants // inputs int card_num, bonus_num; vector card_costs; vector bonus_values; vector> bonus_cards; // outputs ll ans; // environment // state vector take_bonus; // score vector card_use_count; ll total_card_cost; ll total_bonus_value; void get_first_input() { cin >> card_num >> bonus_num; card_costs.resize(card_num); for (auto &x: card_costs) cin >> x; bonus_values.resize(bonus_num); for (auto &x: bonus_values) cin >> x; bonus_cards.resize(bonus_num); for (auto &x: bonus_cards) { int k; cin >> k; x.resize(k); for (auto &y: x) { cin >> y; y--; } } } void init() { take_bonus = vector(bonus_num); } void update_score_partial(int bonus_idx, bool is_after_update) { if (!take_bonus[bonus_idx]) return; for (auto &c: bonus_cards[bonus_idx]) { if (is_after_update) { card_use_count[c]++; if (card_use_count[c] == 1) total_card_cost += card_costs[c]; } else { card_use_count[c]--; if (card_use_count[c] == 0) total_card_cost -= card_costs[c]; } } total_bonus_value += bonus_values[bonus_idx] * (is_after_update ? 1 : -1); } void update_score_full() { card_use_count = vector(card_num, 0); total_card_cost = 0; total_bonus_value = 0; for (int i = 0; i < bonus_num; i++) { update_score_partial(i, true); } } ll get_score() { return total_bonus_value - total_card_cost; } void solve() { update_score_full(); int score = get_score(); int last_score = score; int best_score = score; const double base_temperature = 1e12; const double target_temperature = 1e-2; // const double decay_rate = 4e-5; double temperature = base_temperature; int iter_count = 0; double time_start = theTimer.time(); const double time_limit = 1.900; while (theTimer.time() < time_limit) { double roll = theRandom.nextDouble(); if (roll < 0.50) { int i = theRandom.nextUIntMod(bonus_num); update_score_partial(i, false); take_bonus[i] = !take_bonus[i]; update_score_partial(i, true); score = get_score(); #ifdef DEBUG if (iter_count % 100000 == 0) cerr << iter_count << " " << score << " " << last_score << " " << best_score << " " << temperature << " " << theTimer.time() << endl; #endif if (score >= last_score) { last_score = score; if (score > best_score) { best_score = score; } } else if (theRandom.nextDouble() < exp(double(score - last_score) / temperature)) { // accept last_score = score; } else { // rollback update_score_partial(i, false); take_bonus[i] = !take_bonus[i]; update_score_partial(i, true); score = last_score; } } else if (roll < 1.00) { int i1 = theRandom.nextUIntMod(bonus_num); int i2 = theRandom.nextUIntMod(bonus_num); update_score_partial(i1, false); update_score_partial(i2, false); take_bonus[i1] = !take_bonus[i1]; take_bonus[i2] = !take_bonus[i2]; update_score_partial(i1, true); update_score_partial(i2, true); score = get_score(); #ifdef DEBUG if (iter_count % 100000 == 0) cerr << iter_count << " " << score << " " << last_score << " " << best_score << " " << temperature << " " << theTimer.time() << endl; #endif if (score >= last_score) { last_score = score; if (score > best_score) { best_score = score; } } else if (theRandom.nextDouble() < exp(double(score - last_score) / temperature)) { // accept last_score = score; } else { // rollback update_score_partial(i1, false); update_score_partial(i2, false); take_bonus[i1] = !take_bonus[i1]; take_bonus[i2] = !take_bonus[i2]; update_score_partial(i1, true); update_score_partial(i2, true); score = last_score; } } // temperature *= 1.0 - decay_rate; temperature = exp(log(base_temperature) - ((log(base_temperature) - log(target_temperature)) * ((theTimer.time() - time_start) * (1.0 / (time_limit - time_start))))); iter_count++; } cerr << "iter_count = " << iter_count << endl; cerr << "score = " << score << endl; cerr << "best_score = " << best_score << endl; cerr << "temperature = " << temperature << endl; ans = best_score; } void output_ans() { cout << ans << endl; } int main(int argc, char *argv[]) { cin.tie(0); ios::sync_with_stdio(false); get_first_input(); init(); solve(); output_ans(); return 0; }