結果

問題 No.5019 Hakai Project
ユーザー wanuiwanui
提出日時 2023-11-19 10:26:36
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
TLE  
実行時間 -
コード長 25,913 bytes
コンパイル時間 4,403 ms
コンパイル使用メモリ 266,008 KB
実行使用メモリ 157,456 KB
スコア 113,870,275
最終ジャッジ日時 2023-11-19 10:29:25
合計ジャッジ時間 168,625 ms
ジャッジサーバーID
(参考情報)
judge11 / judge15
このコードへのチャレンジ
(要ログイン)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 TLE -
testcase_01 TLE -
testcase_02 AC 2,988 ms
157,456 KB
testcase_03 TLE -
testcase_04 TLE -
testcase_05 TLE -
testcase_06 TLE -
testcase_07 TLE -
testcase_08 TLE -
testcase_09 TLE -
testcase_10 TLE -
testcase_11 TLE -
testcase_12 TLE -
testcase_13 TLE -
testcase_14 TLE -
testcase_15 TLE -
testcase_16 TLE -
testcase_17 TLE -
testcase_18 TLE -
testcase_19 TLE -
testcase_20 TLE -
testcase_21 TLE -
testcase_22 AC 2,970 ms
122,260 KB
testcase_23 TLE -
testcase_24 TLE -
testcase_25 TLE -
testcase_26 TLE -
testcase_27 TLE -
testcase_28 TLE -
testcase_29 TLE -
testcase_30 TLE -
testcase_31 TLE -
testcase_32 TLE -
testcase_33 TLE -
testcase_34 TLE -
testcase_35 TLE -
testcase_36 TLE -
testcase_37 TLE -
testcase_38 TLE -
testcase_39 TLE -
testcase_40 TLE -
testcase_41 TLE -
testcase_42 TLE -
testcase_43 TLE -
testcase_44 TLE -
testcase_45 TLE -
testcase_46 TLE -
testcase_47 TLE -
testcase_48 TLE -
testcase_49 TLE -
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp: In function 'int getmove(point, point)':
main.cpp:113:1: warning: control reaches end of non-void function [-Wreturn-type]
  113 | }
      | ^

ソースコード

diff #

#include <bits/stdc++.h>
// clang-format off
using namespace std;
void print0(){}; template<typename H,typename... T> void print0(H h,T... t){cout<<h;print0(t...);}
void print(){print0("\n");}; template<typename H,typename... T>void print(H h,T... t){print0(h);if(sizeof...(T)>0)print0(" ");print(t...);}
#define debug1(a) { cerr<<#a<<":"<<a<<endl; }
#define debug2(a,b) { cerr<<#a<<":"<<a<<" "<<#b<<":"<<b<<endl; }
#define debug3(a,b,c) { cerr<<#a<<":"<<a<<" "<<#b<<":"<<b<<" "<<#c<<":"<<c<<endl; }
#define debug4(a,b,c,d) { cerr<<#a<<":"<<a<<" "<<#b<<":"<<b<<" "<<#c<<":"<<c<<" "<<#d<<":"<<d<<endl; }

struct point {int r; int c; };
bool operator==(const point &lhs, const point &rhs) { return (lhs.r == rhs.r && lhs.c == rhs.c); }
bool operator!=(const point &lhs, const point &rhs) { return !(lhs == rhs); }
bool operator<(const point &lhs, const point &rhs) {
    if (lhs.r != rhs.r){return lhs.r<rhs.r;}
    return lhs.c<rhs.c;
}
point operator-(const point &self){
    return {-self.r, -self.c};
}
point operator+(const point &lhs, const point &rhs){
    return {lhs.r+rhs.r, lhs.c+rhs.c};
}
point operator-(const point &lhs, const point &rhs){
    return lhs + (-rhs);
}
std::ostream &operator<<(std::ostream &os, point &pt) {
    string s;
    s = "(" + to_string(int(pt.r)) + ", " + to_string(int(pt.c)) + ")";
    return os << s;
};
const int inf = 1e9;
using pii = pair<int, int>;
// clang-format on
namespace marathon {
mt19937 engine(0);
clock_t start_time;
double now() {
    return 1000.0 * (clock() - start_time) / CLOCKS_PER_SEC;
}
void marathon_init() {
    start_time = clock();
    random_device seed_gen;
    engine.seed(seed_gen());
}
int randint(int mn, int mx) {
    int rng = mx - mn + 1;
    return mn + (engine() % rng);
}
double uniform(double x, double y) {
    const int RND = 1e8;
    double mean = (x + y) / 2.0;
    double dif = y - mean;
    double p = double(engine() % RND) / RND;
    return mean + dif * (1.0 - 2.0 * p);
}
template <typename T>
T random_choice(vector<T> &vec) {
    return vec[engine() % vec.size()];
}
bool anneal_accept(double new_score, double old_score, double cur_time, double begin_time, double end_time, double begin_temp, double end_temp) {
    static int called = 0;
    static double temp = 0;
    if ((called & 127) == 0) {
        double ratio = (cur_time - begin_time) / (end_time - begin_time);
        ratio = min(ratio, 1.0);
        temp = pow(begin_temp, 1.0 - ratio) * pow(end_temp, ratio);
    }
    called++;

    const int ANNEAL_RND = 1e8;
    const double ANNEAL_EPS = 1e-6;

    return (exp((new_score - old_score) / temp) > double(engine() % ANNEAL_RND) / ANNEAL_RND + ANNEAL_EPS);
}
}  // namespace marathon
struct operation_t {
    int kind;
    int xyz;
};
struct bomb_t {
    int cost;
    vector<point> ranges;
};
const int _U_ = 0;
const int _R_ = 1;
const int _D_ = 2;
const int _L_ = 3;
const int N = 50;
const int M = 20;
const int N2 = 2500;
const int NNM = 50000;
vector<point> mvs = {{-1, 0}, {0, 1}, {1, 0}, {0, -1}};
using bsn2 = bitset<N2>;
vector<vector<int>> mvtbl(N2);
bsn2 break_bomb_bs[N][N][M];
char TBL_INIT[N][N];
bomb_t BOMBS[M];
int getmove(point src, point dest) {
    assert(abs(src.r - dest.r) + abs(src.c - dest.c) == 1);
    if (src.r < dest.r) {
        return _D_;
    }
    if (src.r > dest.r) {
        return _U_;
    }
    if (src.c < dest.c) {
        return _R_;
    }
    if (src.c > dest.c) {
        return _L_;
    }
}
bool ingrid(int i, int j) {
    return 0 <= i && i < N && 0 <= j && j < N;
}
bool ingrid(point p) {
    return ingrid(p.r, p.c);
}
int _p(int r, int c) {
    return r * N + c;
}
int _p(point p) {
    return _p(p.r, p.c);
}

void init_data() {
    for (int r = 0; r < N; r++) {
        for (int c = 0; c < N; c++) {
            point u = {r, c};
            for (auto mv : mvs) {
                auto v = mv + u;
                if (!ingrid(v)) continue;
                mvtbl[_p(u)].push_back(_p(v));
            }
        }
    }
    for (int r = 0; r < N; r++) {
        for (int c = 0; c < N; c++) {
            for (int bid = 0; bid < M; bid++) {
                break_bomb_bs[r][c][bid] = 0;
                point now = {r, c};
                for (auto drc : BOMBS[bid].ranges) {
                    point pt = now + drc;
                    if (!ingrid(pt)) continue;
                    break_bomb_bs[r][c][bid][_p(pt)] = 1;
                }
            }
        }
    }
}
vector<vector<int>> dij_cost(point ini, vector<vector<char>> &tbl) {
    // コスト上限が400くらいなのでpriority_queue不要
    vector<char> tbl_(N2);
    for (int r = 0; r < N; r++) {
        for (int c = 0; c < N; c++) {
            tbl_[_p(r, c)] = tbl[r][c];
        }
    }
    vector<bool> done(N2);
    vector<int> costs(N2, inf);
    vector<vector<int>> cost_points(N * 4);
    cost_points[0].push_back(_p(ini));
    costs[_p(ini)] = 0;
    for (int cost = 0; cost < N * 4; cost++) {
        for (auto u : cost_points[cost]) {
            if (done[u]) continue;
            done[u] = true;
            for (auto v : mvtbl[u]) {
                int nc = cost + 1;
                if (tbl_[v] != '.') {
                    nc = cost + 2;
                }
                if (done[v]) continue;
                if (costs[v] <= nc) continue;
                costs[v] = nc;
                cost_points[nc].push_back(v);
            }
        }
    }
    vector<vector<int>> result(N, vector<int>(N));
    for (int r = 0; r < N; r++) {
        for (int c = 0; c < N; c++) {
            result[r][c] = costs[_p(r, c)];
        }
    }
    return result;
}
void dij_goto_ops(point &hulk, point dest, vector<operation_t> &ops, vector<vector<char>> &tbl) {
    priority_queue<tuple<int, point, point>, vector<tuple<int, point, point>>, greater<tuple<int, point, point>>> pq;
    pq.push({0, hulk, {-1, -1}});
    vector<vector<int>> costs(N, vector<int>(N, inf));
    vector<vector<point>> froms(N, vector<point>(N, {-1, -1}));
    while (pq.size()) {
        int cost;
        point u, frm;
        tie(cost, u, frm) = pq.top();
        pq.pop();
        if (costs[u.r][u.c] <= cost) continue;
        costs[u.r][u.c] = cost;
        froms[u.r][u.c] = frm;
        if (u == dest) break;
        for (auto mv : mvs) {
            point v = mv + u;
            if (!ingrid(v)) continue;
            int nc = cost + 1;
            if (tbl[v.r][v.c] != '.') {
                nc = cost + 2;
            }
            pq.push({nc, v, u});
        }
    }
    {
        point cur = dest;
        vector<point> route;
        while (true) {
            route.push_back(cur);
            if (cur == hulk) break;
            cur = froms[cur.r][cur.c];
        }
        reverse(route.begin(), route.end());
        for (int i = 1; i < int(route.size()); i++) {
            point pre = route[i - 1];
            point nxt = route[i];
            int mvid = getmove(pre, nxt);
            ops.push_back({1, mvid});
        }
    }
    hulk = dest;
}
pii evaluate_ops(vector<operation_t> &ops) {
    vector<vector<char>> tbl(N, vector<char>(N));
    for (int r = 0; r < N; r++) {
        for (int c = 0; c < N; c++) {
            tbl[r][c] = TBL_INIT[r][c];
        }
    }
    int move_cost = 0;
    int bomb_cost = 0;
    point hulk = {0, 0};
    int bombs = 0;
    for (auto op : ops) {
        if (op.kind == 1) {
            hulk = hulk + mvs[op.xyz];
            if (tbl[hulk.r][hulk.c] == '.') {
                move_cost += (1 + bombs) * (1 + bombs);
            } else {
                move_cost += 2 * (1 + bombs) * (1 + bombs);
            }
        } else if (op.kind == 2) {
            bombs++;
            int bombid = op.xyz;
            bomb_cost += BOMBS[bombid].cost;
        } else {
            bombs--;  // WAにはならない前提
            int bombid = op.xyz;
            for (auto drc : BOMBS[bombid].ranges) {
                point pt = hulk + drc;
                if (!ingrid(pt)) continue;
                tbl[pt.r][pt.c] = '.';
            }
        }
    }
    return {move_cost, bomb_cost};
}
int bomb_place_id(point p, int b) {
    return b * N * N + p.r * N + p.c;
}
int bpid2bombid(int bpid) {
    return bpid / N2;
}
point bpid2point(int bpid) {
    return point{(bpid / N) % N, bpid % N};
}
vector<int> hc_bomb_places(vector<int> init_bomb_places, vector<int> init_fillcnt, vector<vector<int>> bpid2walls, vector<vector<int>> wall2bpids) {
    // 破壊再構築系の山登り
    vector<int> bpid2cost(NNM);
    for (int bpid = 0; bpid < NNM; bpid++) {
        bpid2cost[bpid] = BOMBS[bpid2bombid(bpid)].cost;
    }

    int old_score = 0;
    auto bomb_places = init_bomb_places;
    auto fillcnt = init_fillcnt;
    for (auto bpid : bomb_places) {
        old_score += -bpid2cost[bpid];
    }
    double begin_time = marathon::now();
    double end_time = begin_time + 1000;

    int hc_iter = 0;
    int hc_accept = 0;
    static uint16_t bpid_cnt[NNM];
    while (marathon::now() < end_time) {
        hc_iter++;
        vector<int> new_bomb_places = bomb_places;
        auto new_fillcnt = fillcnt;
        vector<int> notfilled;
        int new_score = old_score;

        int rmnum = marathon::randint(4, 6);
        for (int r = 0; r < rmnum; r++) {
            int remove_bpid = marathon::random_choice(new_bomb_places);
            new_bomb_places.erase(std::remove(new_bomb_places.begin(), new_bomb_places.end(), remove_bpid), new_bomb_places.end());
            new_score += bpid2cost[remove_bpid];
            for (int pt : bpid2walls[remove_bpid]) {
                new_fillcnt[pt]--;
                if (new_fillcnt[pt] == 0) notfilled.push_back(pt);
            }
        }

        while (notfilled.size()) {  // この中の処理が非常に重い

            for (int bpid = 0; bpid < NNM; bpid++) {
                bpid_cnt[bpid] = 0;
            }

            for (auto wall : notfilled) {
                for (auto bpid : wall2bpids[wall]) {
                    bpid_cnt[bpid]++;
                }
            }

            int bestbpid = 0;
            int bestscore = -inf;
            for (int bpid = 0; bpid < NNM; bpid++) {
                if (bpid_cnt[bpid] > 0) {
                    // int score = -1000 * marathon::uniform(1.0, 2.0) * bpid2cost[bpid] / bpid_cnt[bpid];
                    int score = -1000 * bpid2cost[bpid] / bpid_cnt[bpid];
                    if (bestscore < score) {
                        bestscore = score;
                        bestbpid = bpid;
                    }
                }
            }

            for (auto wall : bpid2walls[bestbpid]) {
                new_fillcnt[wall]++;
                if (new_fillcnt[wall] == 1) {
                    notfilled.erase(std::remove(notfilled.begin(), notfilled.end(), wall), notfilled.end());
                }
            }
            new_score -= bpid2cost[bestbpid];
            new_bomb_places.push_back(bestbpid);
        }
        if (new_score > old_score) {
            old_score = new_score;
            bomb_places = new_bomb_places;
            fillcnt = new_fillcnt;
            hc_accept++;
        }
    }
    debug2(hc_iter, hc_accept);
    return bomb_places;
}

vector<int> make_bomb_places() {
    // 詰み防止のため建物がなくなるまで破壊してはいけない店舗を1個だけ決めておく
    vector<bool> is_hub_shop(N2);
    {
        point center = {12, 12};
        pair<int, point> minshop = {inf, {-1, -1}};
        for (int r = 0; r < N; r++) {
            for (int c = 0; c < N; c++) {
                if (TBL_INIT[r][c] == '@') {
                    point now = {r, c};
                    int distance = abs(center.r - now.r) + abs(center.c - now.c);
                    minshop = min(minshop, {distance, now});
                }
            }
        }
        is_hub_shop[_p(minshop.second)] = true;
    }

    vector<vector<int>> wall2bpids(N2);  // buildingと書くのがタイプ数多いのでwallとしておく
    vector<vector<int>> bpid2walls(NNM);
    vector<bsn2> bpid2wall_set(NNM);
    for (int r = 0; r < N; r++) {
        for (int c = 0; c < N; c++) {
            for (int b = 0; b < M; b++) {
                point place = point{r, c};
                int bpid = bomb_place_id(place, b);
                bpid2wall_set[bpid] = 0;
                // ハブ店を破壊する爆弾配置は除外する
                bool valid = true;
                for (auto drc : BOMBS[b].ranges) {
                    point pt = place + drc;
                    if (!ingrid(pt)) continue;
                    if (is_hub_shop[_p(pt)]) valid = false;
                }
                if (!valid) continue;
                for (auto drc : BOMBS[b].ranges) {
                    point pt = place + drc;
                    if (!ingrid(pt)) continue;
                    if (TBL_INIT[pt.r][pt.c] != '#') continue;
                    bpid2wall_set[bpid][_p(pt)] = 1;
                    bpid2walls[bpid].push_back(_p(pt));
                    wall2bpids[_p(pt)].push_back(bpid);
                }
            }
        }
    }

    // 初期解を作る
    // 破壊できる確率が低い建物を破壊できたときのスコアを高く見積もる
    vector<int> wall_score(N2);
    for (int r = 0; r < N; r++) {
        for (int c = 0; c < N; c++) {
            int u = _p(r, c);
            if (wall2bpids[u].size()) {
                wall_score[u] = 2e5 / wall2bpids[u].size();
            }
        }
    }
    int all_walls = 0;
    for (int r = 0; r < N; r++) {
        for (int c = 0; c < N; c++) {
            if (TBL_INIT[r][c] == '#') all_walls++;
        }
    }
    vector<int> bomb_places;
    vector<int> fillcnt(N2);
    {
        int filled_num = 0;
        bsn2 filled = 0;
        while (filled_num < all_walls) {
            double bestscore = -1e18;
            int bestbpid = -1;
            vector<pair<double, int>> topbpids;
            for (int bpid = 0; bpid < NNM; bpid++) {
                int cnt = (filled | bpid2wall_set[bpid]).count();
                int cntadd = (cnt - filled_num);
                if (cntadd > 0) {
                    double score = -1.0 * BOMBS[bpid2bombid(bpid)].cost / cntadd;
                    bool accept = false;
                    if (topbpids.size() < 10) {
                        accept = true;
                        topbpids.push_back({score, bpid});
                    } else if (topbpids.back().first < score) {
                        accept = true;
                        topbpids.back() = {score, bpid};
                    }
                    if (accept) {
                        // ソートされるよう移動
                        int i = int(topbpids.size()) - 1;
                        while (i > 0 && topbpids[i - 1].first < topbpids[i].first) {
                            swap(topbpids[i - 1], topbpids[i]);
                            i--;
                        }
                    }
                }
            }
            for (auto bpid_pair : topbpids) {
                int ws = 0;
                int bpid = bpid_pair.second;
                for (auto wall : bpid2walls[bpid]) {
                    if (!filled[wall]) {
                        ws += wall_score[wall];
                    }
                }
                if (ws > 0) {
                    double score = -1.0 * BOMBS[bpid2bombid(bpid)].cost / ws;
                    if (bestscore < score) {
                        bestscore = score;
                        bestbpid = bpid;
                    }
                }
            }
            bomb_places.push_back(bestbpid);
            for (auto wall : bpid2walls[bestbpid]) {
                fillcnt[wall]++;
                filled[wall] = 1;
            }
            filled_num = filled.count();
        }
    }
    return hc_bomb_places(bomb_places, fillcnt, bpid2walls, wall2bpids);
}
double calc_tsp_cost(vector<int> &route, vector<int> &bomb_places) {
    point hulk = {0, 0};
    vector<vector<char>> tbl(N, vector<char>(N));
    for (int r = 0; r < N; r++) {
        for (int c = 0; c < N; c++) {
            tbl[r][c] = TBL_INIT[r][c];
        }
    }
    int cost = 0;
    int m = route.size();
    for (int r = 1; r < int(route.size()) - 1; r++) {
        int bpid = bomb_places[route[r]];
        point bombpt = bpid2point(bpid);
        auto cost_hulk = dij_cost(hulk, tbl);
        auto cost_bomb = dij_cost(bombpt, tbl);
        int now_mincost = inf;
        for (int r = 0; r < N; r++) {
            for (int c = 0; c < N; c++) {
                if (tbl[r][c] == '@') {
                    now_mincost = min(now_mincost, cost_hulk[r][c] + cost_bomb[r][c] * 4);
                }
            }
        }

        for (auto drc : BOMBS[bpid2bombid(bpid)].ranges) {
            point pt = bombpt + drc;
            if (!ingrid(pt)) continue;
            tbl[pt.r][pt.c] = '.';
        }
        cost += now_mincost;
        hulk = bombpt;
    }
    return cost;
}
vector<int> bomb_places_tsp(vector<int> bomb_places) {
    int m = bomb_places.size() + 2;

    int start = m - 2;
    int goal = m - 1;
    vector<int> best_route;
    double best_score = -1e18;
    int route_search_iter = 0;
    while (marathon::now() < 2800) {
        route_search_iter++;
        // コスト固定のTSP
        vector<int> route;
        route.push_back(start);
        {
            vector<int> perm(m - 2);
            iota(perm.begin(), perm.end(), 0);
            shuffle(perm.begin(), perm.end(), marathon::engine);
            for (auto r : perm) {
                route.push_back(r);
            }
        }
        route.push_back(goal);

        point ini = {0, 0};
        vector<vector<int>> costtbl(m, vector<int>(m));
        for (int i = 0; i < m - 1; i++) {
            for (int j = 0; j < m - 1; j++) {
                point src = i == start ? ini : bpid2point(bomb_places[i]);
                point dest = i == start ? ini : bpid2point(bomb_places[j]);
                costtbl[i][j] = abs(src.r - dest.r) + abs(src.c - dest.c);
            }
        }

        double begin_temp = 5;
        double end_temp = 0.5;
        double old_score = 0;
        for (int r = 1; r < int(route.size()); r++) {
            old_score -= costtbl[route[r - 1]][route[r]];
        }
        int anneal_accepted = 0;
        int anneal_iter = 0;
        while (anneal_iter < 50000) {
            anneal_iter++;
            vector<int> new_route = route;
            int x = 0;
            int y = 0;
            while (x == y) {
                x = 1 + marathon::engine() % (int(new_route.size()) - 2);
                y = 1 + marathon::engine() % (int(new_route.size()) - 2);
            }
            if (x > y) {
                swap(x, y);
            }
            for (int i = x + 1; i <= y - 1; i++) {
                int j = y - 1 - (i - (x + 1));
                if (i > j) break;
                swap(new_route[i], new_route[j]);
            }

            double new_score = 0;
            for (int r = 1; r < int(new_route.size()); r++) {
                new_score -= costtbl[new_route[r - 1]][new_route[r]];
            }
            if (marathon::anneal_accept(new_score, old_score, anneal_iter, 0, 50000, begin_temp, end_temp)) {
                route = new_route;
                old_score = new_score;
                anneal_accepted++;
            }
        }

        // 正しいコストで評価
        double now_score = -calc_tsp_cost(route, bomb_places);
        if (best_score < now_score) {
            best_route = route;
            best_score = now_score;
            debug1(best_score);
        }
    }
    debug2(route_search_iter, best_score);
    vector<int> result;
    for (int r = 1; r < int(best_route.size()) - 1; r++) {
        result.push_back(bomb_places[best_route[r]]);
    }
    return result;
}
void solve() {
    // 爆弾位置と爆弾IDからなる「爆弾配置」 の集合を山登りにより作る。
    // 爆弾配置は N*N*M 種類存在し、そこから全ての建物を破壊しつつ爆弾コストが小さい集合を選ぶ。
    vector<int> bomb_places = make_bomb_places();

    vector<operation_t> ops;
    {
        point hulk = {0, 0};
        vector<vector<char>> tbl(N, vector<char>(N));
        for (int r = 0; r < N; r++) {
            for (int c = 0; c < N; c++) {
                tbl[r][c] = TBL_INIT[r][c];
            }
        }
        {
            // 爆弾配置が決まったら、コストが動的に変化するTSP的な問題を解く。 
            bomb_places = bomb_places_tsp(bomb_places);
            for (auto bpid : bomb_places) {
                point midshop = {-1, -1};
                {
                    // TODO 2個同時に運ぶのをDP的にやるとよい可能性がある
                    auto hulk_cost = dij_cost(hulk, tbl);
                    auto bp_cost = dij_cost(bpid2point(bpid), tbl);
                    pair<int, point> bestmidshop = {inf, {inf, inf}};
                    for (int r = 0; r < N; r++) {
                        for (int c = 0; c < N; c++) {
                            if (tbl[r][c] == '@') {
                                int cost = hulk_cost[r][c] + bp_cost[r][c] * 4;
                                pair<int, point> now = {cost, {r, c}};
                                bestmidshop = min(now, bestmidshop);
                            }
                        }
                    }
                    midshop = bestmidshop.second;
                }
                int bombid = bpid2bombid(bpid);
                point bombpt = bpid2point(bpid);
                dij_goto_ops(hulk, midshop, ops, tbl);
                ops.push_back({2, bombid});
                dij_goto_ops(hulk, bombpt, ops, tbl);
                ops.push_back({3, bombid});
                for (auto drc : BOMBS[bombid].ranges) {
                    point pt = hulk + drc;
                    if (!ingrid(pt)) continue;
                    tbl[pt.r][pt.c] = '.';
                }
            }
        }

        // 残った店を貪欲に破壊
        while (true) {
            vector<point> shops;
            for (int r = 0; r < N; r++) {
                for (int c = 0; c < N; c++) {
                    if (tbl[r][c] == '@') shops.push_back({r, c});
                }
            }
            if (shops.size() == 0) break;

            pair<double, int> bestop = {1e18, -1};
            auto hulk_cost = dij_cost(hulk, tbl);
            vector<vector<point>> midshop(N, vector<point>(N, {-1, -1}));
            vector<vector<int>> move_cost(N, vector<int>(N, inf));
            for (auto shop : shops) {
                auto shop_cost = dij_cost(shop, tbl);
                for (int r = 0; r < N; r++) {
                    for (int c = 0; c < N; c++) {
                        int cost = shop_cost[r][c] * 4 + hulk_cost[shop.r][shop.c];
                        if (move_cost[r][c] > cost) {
                            move_cost[r][c] = cost;
                            midshop[r][c] = shop;
                        }
                    }
                }
            }
            for (int r = 0; r < N; r++) {
                for (int c = 0; c < N; c++) {
                    point place = {r, c};
                    for (int bid = 0; bid < M; bid++) {
                        int break_shop = 0;
                        int break_hub_shop = 0;
                        for (auto drc : BOMBS[bid].ranges) {
                            point pt = place + drc;
                            if (!ingrid(pt)) continue;
                            if (tbl[pt.r][pt.c] == '@') break_shop++;
                        }
                        // (移動コスト+爆弾コスト)/破壊する店数  が最小の爆弾配置を選ぶ
                        double score = 1.0 * (move_cost[r][c] + BOMBS[bid].cost) / break_shop;
                        bestop = min(bestop, {score, bomb_place_id(place, bid)});
                    }
                }
            }
            {
                int bpid = bestop.second;
                int bombid = bpid / N2;
                point bombpt = bpid2point(bpid);
                dij_goto_ops(hulk, midshop[bombpt.r][bombpt.c], ops, tbl);
                ops.push_back({2, bombid});
                dij_goto_ops(hulk, bombpt, ops, tbl);
                ops.push_back({3, bombid});
                for (auto drc : BOMBS[bombid].ranges) {
                    point pt = hulk + drc;
                    if (!ingrid(pt)) continue;
                    tbl[pt.r][pt.c] = '.';
                }
            }
        }
    }
    {
        cout << ops.size() << endl;
        for (auto op : ops) {
            if (op.kind == 1) {
                char d = '.';
                if (op.xyz == _L_) d = 'L';
                if (op.xyz == _R_) d = 'R';
                if (op.xyz == _U_) d = 'U';
                if (op.xyz == _D_) d = 'D';
                cout << op.kind << " " << d << endl;
            } else {
                cout << op.kind << " " << op.xyz + 1 << endl;
            }
        }
    }
    {
        int move_cost, bomb_cost;
        tie(move_cost, bomb_cost) = evaluate_ops(ops);
        int totalcost = move_cost + bomb_cost;
        int score = 1e12 / (1e4 + totalcost);
        cerr << "score==" << score << " move_cost==" << move_cost << " bomb_cost==" << bomb_cost << " time==" << marathon::now() << endl;
    }
}
int main() {
    marathon::marathon_init();
    int n, m;
    cin >> n >> m;
    for (int r = 0; r < N; r++) {
        for (int c = 0; c < N; c++) {
            cin >> TBL_INIT[r][c];
        }
    }
    for (int b = 0; b < M; b++) {
        int c, l;
        cin >> c >> l;
        bomb_t bomb;
        bomb.cost = c;
        for (int i = 0; i < l; i++) {
            int dr, dc;
            cin >> dr >> dc;
            bomb.ranges.push_back({dr, dc});
        }
        BOMBS[b] = bomb;
    }
    init_data();
    solve();
}
0