#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include // #include "atcoder/all" using namespace std; using i64 = long long; const i64 MOD = 1e9 + 7; const i64 INF = i64(1e18); template bool chmin(T& x, T y){ if(x > y){ x = y; return true; } return false; } template bool chmax(T& x, T y){ if(x < y){ x = y; return true; } return false; } double elapsed_time(timespec& time_st){ timespec time_now; clock_gettime(CLOCK_REALTIME, &time_now); return (time_now.tv_sec - time_st.tv_sec) + (time_now.tv_nsec - time_st.tv_nsec) / 1000000000.0; } struct Rnd{ uint64_t x; Rnd(uint64_t seed) : x(0xdeadbeef0110dead ^ seed) { } uint64_t rnd(){ x ^= x << 7; x ^= x >> 9; return x; } uint64_t rnd(int n){ return rnd() % n; } double rnd_double(){ return 1.0 * rnd() / numeric_limits::max(); } vector rnd_perm(int n){ vector v(n); iota(v.begin(), v.end(), 0); for(int i = n - 1; i >= 1; --i){ int j = rnd(i + 1); swap(v[i], v[j]); } return v; } template void shuffle(vector& v){ int n = v.size(); for(int i = n - 1; i >= 1; --i){ int j = rnd(i + 1); swap(v[i], v[j]); } } }; // #define OPTIMIZE namespace params{ void load_params(){ ifstream ifs("../params.txt"); assert(ifs.is_open()); } } void read_file(istream& ifs){ // TODO: input } clock_t st; void solve(){ constexpr int K = 60; int n, damage, hp_max; cin >> n >> damage >> hp_max; vector s(n); vector> v(n, vector(n, 0)); vector dx = {0, 1, 0, -1}; vector dy = {1, 0, -1, 0}; // 0: . // 1: # // 2: J (jewel) // 3: F (fire?) // 4: E (detecter) int sx, sy, ex, ey, kx, ky; vector, int>> detectors; vector> jewels_; for(int i = 0; i < n; ++i){ cin >> s[i]; for(int j = 0; j < n; ++j){ if(s[i][j] == '.'){ v[i][j] = 0; } else if(s[i][j] == '#'){ v[i][j] = 1; } else if(s[i][j] == 'S'){ sx = i; sy = j; } else if(s[i][j] == 'G'){ ex = i; ey = j; } else if(s[i][j] == 'K'){ kx = i; ky = j; } else if(s[i][j] == 'J'){ v[i][j] = 2; jewels_.emplace_back(i, j); } else if(s[i][j] == 'F'){ v[i][j] = 3; } else if(s[i][j] == 'E'){ v[i][j] = 4; } } } vector> jewels; jewels.emplace_back(sx, sy); jewels.emplace_back(kx, ky); jewels.emplace_back(ex, ey); for(auto& p : jewels_){ jewels.emplace_back(p); } int num_detectors; cin >> num_detectors; for(int i = 0; i < num_detectors; ++i){ int x, y, d; cin >> x >> y >> d; detectors.emplace_back(make_pair(x, y), d); } auto is_jewel = [&](int x, int y){ return v[x][y] == 2; }; auto is_wall = [&](int x, int y){ if(x < 0 || y < 0 || x >= n || y >= n){ return true; } return v[x][y] == 1 || v[x][y] == 4; }; vector>> damage_vec(n, vector>(n, vector(K, 0))); vector> damage_sum(n, vector(n, 0)); for(auto [p, interval] : detectors){ for(int d = 0; d < 4; ++d){ auto [x, y] = p; do{ // for(int i = interval - 1; i < K; i += interval){ for(int i = 0; i < K; i += interval){ damage_vec[x][y][i] += damage; } damage_sum[x][y] += damage * K / interval; x += dx[d]; y += dy[d]; }while(!is_wall(x, y)); } } int m = jewels.size(); // dijkstra by average damage vector> dist_ave(m, vector(m, MOD)); vector>> table_move(m, vector>(m)); auto connected = [&](int x, int y){ return dist_ave[x][y] < 1e9; }; for(int jewel_idx = 0; jewel_idx < m; ++jewel_idx){ // dijkstra auto [jx, jy] = jewels[jewel_idx]; vector> dist(n, vector(n, MOD)); vector> prev(n, vector(n, -1)); priority_queue>, vector>>, greater<>> que; dist[jx][jy] = 0; que.emplace(0, make_pair(jx, jy)); while(!que.empty()){ auto [now_dist, p] = que.top(); auto [x, y] = p; que.pop(); if(now_dist != dist[x][y]){ continue; } for(int d = 0; d < 4; ++d){ int nx = x + dx[d]; int ny = y + dy[d]; if(is_wall(nx, ny)){ continue; } if(chmin(dist[nx][ny], now_dist + 1.0 * damage_sum[nx][ny] / K + 1)){ prev[nx][ny] = d; que.emplace(dist[nx][ny], make_pair(nx, ny)); } } } for(int i = 0; i < m; ++i){ dist_ave[jewel_idx][i] = dist[jewels[i].first][jewels[i].second]; int x = jewels[i].first; int y = jewels[i].second; if(prev[x][y] == -1){ continue; } vector moves; while(x != jx || y != jy){ int d = prev[x][y]; moves.emplace_back(prev[x][y]); x += dx[d ^ 2]; y += dy[d ^ 2]; } reverse(moves.begin(), moves.end()); table_move[jewel_idx][i] = moves; } } auto simulate = [&](vector& moves){ int x = sx, y = sy; bool key = false; int turn = 1; int damage = 0; int jewel = 0; set> jew; for(auto d : moves){ if(d < 4){ x += dx[d], y += dy[d]; } ++damage; damage += damage_vec[x][y][turn % 60]; if(is_jewel(x, y) && !jew.count(make_pair(x, y))){ ++jewel; jew.emplace(x, y); } ++turn; assert(!is_wall(x, y)); if(x == kx && y == ky){ key = true; } } assert(x == ex && y == ey); assert(key); return make_pair(jewel, damage); }; auto output = [&](vector& moves){ for(auto d : moves){ // cout << dx[d] << " " << dy[d] << " " << "RDLU"[d] << endl; if(d < 4){ cout << "M " << "RDLU"[d] << endl; } else{ cout << "S" << endl; } } }; Rnd rn(0); auto get_moves = [&](vector& route){ assert(route.front() == 0); assert(route.back() == 2); vector moves; for(int i = 0; i < route.size() - 1; ++i){ auto [x, y] = jewels[route[i]]; for(auto d : table_move[route[i]][route[i + 1]]){ x += dx[d]; y += dy[d]; moves.emplace_back(d); } assert(make_pair(x, y) == jewels[route[i + 1]]); } return moves; }; auto get_optimal_moves = [&](vector& route){ auto moves = get_moves(route); vector> dp(moves.size() + 1, vector(60, MOD)); vector> pre(moves.size() + 1, vector(60, MOD)); int x = sx, y = sy; int su = 0; for(int i = 0; i < 60; ++i){ dp[0][i] = su; su += damage_vec[x][y][(i + 1) % 60] + 1; } for(int i = 0; i < moves.size(); ++i){ int d = moves[i]; int nx = x + dx[d]; int ny = y + dy[d]; auto v = dp[i]; vector v_pre(60); iota(v_pre.begin(), v_pre.end(), 0); for(int j = 0; j < 120; ++j){ if(chmin(v[(j + 1) % 60], v[j % 60] + damage_vec[x][y][(j + 1) % 60] + 1)){ v_pre[(j + 1) % 60] = v_pre[j % 60]; } } for(int j = 0; j < 60; ++j){ dp[i + 1][(j + 1) % 60] = v[j] + damage_vec[nx][ny][(j + 1) % 60] + 1; pre[i + 1][(j + 1) % 60] = v_pre[j]; } x = nx; y = ny; } int j = distance(dp.back().begin(), min_element(dp.back().begin(), dp.back().end())); vector mods{j}; for(int i = moves.size() - 1; i >= 0; --i){ int pre_j = pre[i + 1][j]; j = pre_j; mods.emplace_back(j); } reverse(mods.begin(), mods.end()); vector res; for(int i = 0; i < mods[0]; ++i){ // wait res.emplace_back(5); } assert(moves.size() + 1 == mods.size()); for(int i = 0; i < mods.size() - 1; ++i){ int cn = 0; for(int j_ = mods[i]; (j_ + 1) % 60 != mods[i + 1]; ++j_){ ++cn; res.emplace_back(5); } res.emplace_back(moves[i]); } return res; }; auto get_damage = [&](vector& route){ array dp{}; array nex{}; int x = sx, y = sy; int su = 0; for(int i = 0; i < 60; ++i){ dp[i] = su; su += damage_vec[x][y][(i + 1) % 60] + 1; } auto moves = get_moves(route); for(auto d : moves){ int nx = x + dx[d]; int ny = y + dy[d]; assert(!is_wall(x, y)); assert(!is_wall(nx, ny)); for(int i = 0; i < 120; ++i){ chmin(dp[(i + 1) % 60], dp[i % 60] + damage_vec[x][y][(i + 1) % 60] + 1); } for(int i = 0; i < 60; ++i){ nex[(i + 1) % 60] = dp[i] + damage_vec[nx][ny][(i + 1) % 60] + 1; } x = nx; y = ny; swap(dp, nex); } // auto moves_ = get_optimal_moves(route); // auto [sc, dam] = simulate(moves_); // assert(*min_element(dp.begin(), dp.end()) == dam); return *min_element(dp.begin(), dp.end()); }; clock_t mid = clock(); double mid_elapsed = 1.0 * (mid - st) / CLOCKS_PER_SEC; constexpr double TIME_MAX = 2.75; auto sa = [&](vector& route, vector& fl, double& dist_sum){ while(true){ double tim = 1.0 * (clock() - mid) / CLOCKS_PER_SEC; double per = tim / (TIME_MAX - mid_elapsed); if(per >= 1.0){ break; } // erase != add vector> erase_adv; for(int erase_pos = 1; erase_pos < route.size() - 2; ++erase_pos){ int x = route[erase_pos - 1]; int y = route[erase_pos]; int z = route[erase_pos + 1]; if(y == 1){ continue; } erase_adv.emplace_back(dist_ave[x][y] + dist_ave[y][z] - dist_ave[x][z], erase_pos); } vector> add_adv; for(int add_pos = 1; add_pos < route.size() - 2; ++add_pos){ int x = route[add_pos - 1]; int y = route[add_pos]; for(int j = 3; j < jewels.size(); ++j){ if(fl[j]){ continue; } if(!connected(x, j) || !connected(j, y)){ continue; } double adv = dist_ave[x][y] - dist_ave[x][j] - dist_ave[j][y]; add_adv.emplace_back(adv, add_pos, j); } } int te = erase_adv.size(); int ta = add_adv.size(); sort(erase_adv.begin(), erase_adv.end(), greater<>()); sort(add_adv.begin(), add_adv.end(), greater<>()); tuple bes(-INF, 0, 0, 0); for(int i = 0; i < te; ++i){ auto [e_val, erase_pos] = erase_adv[i]; for(int j = 0; j < ta; ++j){ auto [a_val, add_pos, add_elm] = add_adv[j]; if(e_val + a_val < get<0>(bes)){ break; } if(erase_pos == add_pos || erase_pos + 1 == add_pos){ continue; } chmax(bes, make_tuple(e_val + a_val, erase_pos, add_pos, add_elm)); } } auto [adv, erase_pos, add_pos, add_elm] = bes; if(adv < 0){ return false; } fl[route[erase_pos]] = false; fl[add_elm] = true; dist_sum -= dist_ave[route[erase_pos - 1]][route[erase_pos]]; dist_sum -= dist_ave[route[erase_pos]][route[erase_pos + 1]]; dist_sum += dist_ave[route[erase_pos - 1]][route[erase_pos + 1]]; dist_sum += dist_ave[route[add_pos - 1]][add_elm]; dist_sum += dist_ave[add_elm][route[add_pos]]; dist_sum -= dist_ave[route[add_pos - 1]][route[add_pos]]; route.erase(route.begin() + erase_pos); if(erase_pos < add_pos){ --add_pos; } route.insert(route.begin() + add_pos, add_elm); { if(dist_sum < hp_max){ return true; } } } auto now_damage = get_damage(route); if(now_damage < hp_max){ return true; } return false; }; vector fl(jewels.size(), 0); vector route; auto greed = [&](){ int dist = 0; route.emplace_back(0); fl[0] = fl[1] = fl[2] = true; constexpr double coef = 0.4; while(true){ pair mi(INF, 0); for(int i = 3; i < m; ++i){ if(!fl[i]){ chmin(mi, make_pair(dist_ave[route.back()][i] + coef * dist_ave[i][1], i)); } } if(dist + dist_ave[route.back()][mi.second] + dist_ave[route.back()][1] > hp_max / 2){ break; } dist += dist_ave[route.back()][mi.second]; route.emplace_back(mi.second); fl[mi.second] = true; } route.emplace_back(1); while(true){ pair mi(INF, 0); for(int i = 3; i < m; ++i){ if(!fl[i]){ chmin(mi, make_pair(dist_ave[route.back()][i] + coef * dist_ave[i][2], i)); } } if(dist + dist_ave[route.back()][mi.second] + dist_ave[route.back()][2] > hp_max){ break; } dist += dist_ave[route.back()][mi.second]; route.emplace_back(mi.second); fl[mi.second] = true; } route.emplace_back(2); }; greed(); /* fl[0] = fl[1] = fl[2] = true; for(int i = 1; i <= 10; ++i){ fl[i * 10] = true; } vector route{0, 10, 20, 30, 40, 50, 1, 60, 70, 80, 90, 100, 2}; * /* vector route{0}; for(int i = 0; i < min(20, int(jewels.size())); ++i){ route.emplace_back(i + 2); } route.emplace_back(1); for(int i = 0; i < min(20, int(jewels.size() - 22)); ++i){ route.emplace_back(i + 22); } route.emplace_back(2); */ double dist_sum = 0; for(int i = 0; i < route.size() - 1; ++i){ dist_sum += dist_ave[route[i]][route[i + 1]]; } auto bef = route; while(true){ clog << route.size() << endl; if(sa(route, fl, dist_sum)){ bef = route; if(route.size() == jewels.size()){ break; } while(true){ int pos = rn.rnd(route.size() - 2) + 1; int add = rn.rnd(jewels.size() - 2) + 2; if(!connected(route[pos - 1], add) || !connected(add, route[pos])){ continue; } if(fl[add]){ continue; } else{ dist_sum -= dist_ave[route[pos - 1]][route[pos]]; dist_sum += dist_ave[route[pos - 1]][add]; dist_sum += dist_ave[add][route[pos]]; route.insert(route.begin() + pos, add); fl[add] = true; break; } } } else{ route = bef; break; } } auto moves = get_optimal_moves(route); output(moves); auto [sc, dam] = simulate(moves); } signed main(){ st = clock(); #ifdef OPTIMIZE params::load_params(); #endif #ifndef HAND read_file(cin); #else ifstream ifs("./tools/in/0000.txt"); assert(ifs.is_open()); read_file(ifs); #endif solve(); }