結果

問題 No.5006 Hidden Maze
ユーザー wanui
提出日時 2022-06-12 20:48:48
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 58 ms / 2,000 ms
コード長 12,647 bytes
コンパイル時間 2,874 ms
実行使用メモリ 22,888 KB
スコア 60,744
平均クエリ数 393.56
最終ジャッジ日時 2022-06-12 20:49:01
合計ジャッジ時間 11,937 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge12
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other AC * 100
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ソースコード

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プレゼンテーションモードにする

#include <bits/stdc++.h>
// clang-format off
using namespace std; using ll=long long; using ull=unsigned long long; using pll=pair<ll,ll>; const ll INF=4e18;
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...);}
void perr0(){}; template<typename H,typename... T> void perr0(H h,T... t){cerr<<h;perr0(t...);}
void perr(){perr0("\n");}; template<typename H,typename... T>void perr(H h,T... t){perr0(h);if(sizeof...(T)>0)perr0(" ");perr(t...);}
void ioinit() { cout<<fixed<<setprecision(15); cerr<<fixed<<setprecision(6); ios_base::sync_with_stdio(0); cin.tie(0); }
// clang-format on
const int LOCAL = 0;
using pii = pair<int, int>;
using tii = tuple<int, int, int>;
struct point {
    int i;
    int j;
};
bool operator==(const point &lhs, const point &rhs) { return (lhs.i == rhs.i && lhs.j == rhs.j); }
bool operator!=(const point &lhs, const point &rhs) { return !(lhs == rhs); }
bool operator<(const point &lhs, const point &rhs) {
    if (lhs.i != rhs.i) {
        return lhs.i < rhs.i;
    }
    return lhs.j < rhs.j;
}
std::ostream &operator<<(std::ostream &os, point &pt) {
    string s;
    s.push_back('(');
    s = s + to_string(pt.i);
    s = s + ", ";
    s = s + to_string(pt.j);
    s.push_back(')');
    return os << s;
}
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);
}
bool anneal_accept(double new_score, double old_score, double cur_time, double begin_time, double end_time, double begin_temp, double end_temp) {
    const int ANNEAL_RND = 1e8;
    const double ANNEAL_EPS = 1e-6;
    double temp = cur_time * (end_temp - begin_temp) / (end_time - begin_time) + (end_time * begin_temp - end_temp * begin_time) / (end_time - 
        begin_time);
    return (exp((new_score - old_score) / temp) > double(engine() % ANNEAL_RND) / ANNEAL_RND + ANNEAL_EPS);
}
const int N = 20;
double P;
const int R = 0;
const int D = 1;
const int L = 2;
const int U = 3;
vector<point> mvs = {{0, 1}, {1, 0}, {0, -1}, {-1, 0}};
int c2d(char c) {
    if (c == 'R') return R;
    if (c == 'D') return D;
    if (c == 'L') return L;
    if (c == 'U') return U;
    return -1;
}
char d2c(int d) {
    if (d == R) return 'R';
    if (d == D) return 'D';
    if (d == L) return 'L';
    if (d == U) return 'U';
    return '?';
}
vector<point> l_table[N][N];
int l_btable[N][N];
bool l_check_table() {
    queue<point> que;
    que.push({0, 0});
    vector<vector<bool>> done(N, vector<bool>(N));
    while (que.size()) {
        point p = que.front();
        que.pop();
        if (done[p.i][p.j]) continue;
        done[p.i][p.j] = true;
        for (auto mv : l_table[p.i][p.j]) {
            int ni = p.i + mv.i;
            int nj = p.j + mv.j;
            que.push({ni, nj});
        }
    }
    for (int i = 0; i < N; i++) {
        for (int j = 0; j < N; j++) {
            if (!done[i][j]) return false;
        }
    }
    return true;
}
void l_maketable(int M) {
    if (!LOCAL) return;
    while (true) {
        for (int i = 0; i < N; i++) {
            for (int j = 0; j < N; j++) {
                l_table[i][j].clear();
                l_btable[i][j] = 0;
            }
        }
        set<tii> wallset;
        int nwall = 0;
        while (nwall < M) {
            if (randint(0, 1) == 0) {
                // 右
                int i = randint(0, N - 1);
                int j = randint(0, N - 2);
                tii w = {0, i, j};
                if (wallset.count(w)) continue;
                wallset.insert(w);
            } else {
                // 下
                int i = randint(0, N - 2);
                int j = randint(0, N - 1);
                tii w = {1, i, j};
                if (wallset.count(w)) continue;
                wallset.insert(w);
            }
            nwall++;
        }
        // RDLU の順
        for (int i = 0; i < N; i++) {
            for (int j = 0; j < N; j++) {
                if (i + 1 < N && !wallset.count({1, i, j})) {
                    l_table[i][j].push_back({1, 0});  //下
                    l_btable[i][j] += (1 << D);
                }
                if (i - 1 >= 0 && !wallset.count({1, i - 1, j})) {
                    l_table[i][j].push_back({-1, 0});  //上
                    l_btable[i][j] += (1 << U);
                }
                if (j + 1 < N && !wallset.count({0, i, j})) {
                    l_table[i][j].push_back({0, 1});  //右
                    l_btable[i][j] += (1 << R);
                }
                if (j - 1 >= 0 && !wallset.count({0, i, j - 1})) {
                    l_table[i][j].push_back({0, -1});  //左
                    l_btable[i][j] += (1 << L);
                }
            }
        }
        if (!l_check_table()) continue;
        perr("M=", M);
        for (int i = 0; i < N; i++) {
            for (int j = 0; j < N; j++) {
                perr0("・");
                if (j + 1 < N && wallset.count({0, i, j})) {
                    perr0("│");
                } else {
                    perr0("　");
                }
            }
            perr0("\n");
            for (int j = 0; j < N; j++) {
                if (i + 1 < N && wallset.count({1, i, j})) {
                    perr0("─");
                } else {
                    perr0("　");
                }
                perr0("　");
            }
            perr0("\n");
        }
        break;
    }
}
int request(string ops) {
    cout << ops << endl;
    if (!LOCAL) {
        int res;
        cin >> res;
        return res;
    }
    {
        bool hitwall = false;
        point cur = {0, 0};
        point goal = {N - 1, N - 1};
        for (auto op : ops) {
            int d = 0;
            if (op == 'R') {
                d = R;
            } else if (op == 'D') {
                d = D;
            } else if (op == 'L') {
                d = L;
            } else if (op == 'U') {
                d = U;
            } else {
                perr(ops, "!?!?");
                assert(false);
            }
            if (!(l_btable[cur.i][cur.j] & (1 << d))) {
                hitwall = true;
                break;
            }
            auto mv = mvs[d];
            cur = {cur.i + mv.i, cur.j + mv.j};
        }
        if (!hitwall && cur == goal) {
            return -1;
        }
    }
    {
        int opnum = 0;
        point cur = {0, 0};
        for (auto op : ops) {
            int d = c2d(op);
            if (!(l_btable[cur.i][cur.j] & (1 << d))) {
                return opnum;
            }
            if (uniform(0.0, 1.0) < P) {
                return opnum;
            }
            auto mv = mvs[d];
            cur = {cur.i + mv.i, cur.j + mv.j};
            opnum++;
        }
        return opnum;
    }
}
string rand_combination(string s0, int start_ind) {
    string s = s0;
    int r = 0;
    int d = 0;
    for (int j = 0; j < start_ind; j++) {
        if (s[j] == 'R') r++;
        if (s[j] == 'D') d++;
    }
    for (int i = start_ind; i < int(s.size()); i++) {
        if (r < N - 1 && d < N - 1) {
            if (randint(0, 1)) {
                s[i] = 'R';
                r++;
            } else {
                s[i] = 'D';
                d++;
            }
        } else if (r < N - 1) {
            s[i] = 'R';
            r++;
        } else {
            s[i] = 'D';
            d++;
        }
    }
    return s;
}
string makeop(int opid, vector<vector<string>> &history, unordered_set<string> &hist_ops) {
    // とりあえず R と D だけ。それで到達できないケースは諦める。
    int N2 = 2 * N - 2;
    int maxlen = 0;
    // 全探索モード
    do {
        int BRUTE_FORCE_START;
        if (P < 0.071) {
            BRUTE_FORCE_START = 32;
        } else if (P < 0.101) {
            BRUTE_FORCE_START = 30;
        } else {
            BRUTE_FORCE_START = 28;
        }
        point maxpt = {0, 0};
        for (int i = 0; i < N; i++) {
            for (int j = 0; j < N; j++) {
                if (history[i][j].size() == 0) continue;
                int len = i + j;
                if (maxlen < len) {
                    maxlen = len;
                    maxpt = {i, j};
                }
            }
        }
        if (maxlen < BRUTE_FORCE_START) {
            break;
        }
        int baseind = maxlen + 1;
        int brute_force_num = N2 - baseind;
        int r0 = 0;
        int d0 = 0;
        {
            string s = history[maxpt.i][maxpt.j];
            for (int j = 0; j < baseind; j++) {
                if (s[j] == 'R') r0++;
                if (s[j] == 'D') d0++;
            }
        }
        for (int i = 0; i < (1 << brute_force_num); i++) {
            string s = history[maxpt.i][maxpt.j];
            int r = r0;
            int d = d0;
            for (int j = 0; j < brute_force_num; j++) {
                char c;
                if ((i >> j) & 1) {
                    c = 'R';
                    r++;
                } else {
                    c = 'D';
                    d++;
                }
                s[j + baseind] = c;
            }
            if (r > N - 1 || d > N - 1) continue;
            if (hist_ops.count(s)) continue;
            return s;
        }
    } while (0);
    // 完全な無作為
    if (opid < 20) {
        string s;
        s.resize(N2);
        return rand_combination(s, 0);
    }
    // 適当にサンプリング+改変
    {
        vector<pair<double, point>> sample_candidate;
        for (int si = 0; si < N; si++) {
            for (int sj = 0; sj < N; sj++) {
                if (history[si][sj].size() == 0) continue;
                int ok = 0;
                ok += (si + 1 < N && history[si + 1][sj].size() == 0);
                ok += (sj + 1 < N && history[si][sj + 1].size() == 0);
                if (ok) {
                    double score = (si + sj) * (si + sj) * (si + sj) - abs(si - sj);
                    sample_candidate.push_back({score, {si, sj}});
                }
            }
        }
        sort(sample_candidate.begin(), sample_candidate.end(), [](pair<double, point> a, pair<double, point> b) {
            return a.first > b.first;
        });
        point sample = sample_candidate[0].second;
        double total = 0;
        for (auto c : sample_candidate) {
            total += c.first;
        }
        double rat = uniform(0.0, total);
        double cum = 0;
        for (auto c : sample_candidate) {
            cum += c.first;
            if (rat < cum) {
                sample = c.second;
                break;
            }
        }
        // 後ろの方を適当に改変
        string sample_str = history[sample.i][sample.j];
        int sz = sample_str.size();
        int changestart = (sample.i + sample.j) + (-1);
        if (changestart < 0) changestart = 0;
        return rand_combination(sample_str, changestart);
    }
    return "RDRD";
}
void solve() {
    int opslimit = 1001;
    if (LOCAL) opslimit = 1000;
    unordered_set<string> hist_ops;
    vector<vector<string>> history(N, vector<string>(N, ""));
    for (int opid = 1; opid <= opslimit; opid++) {
        string s = makeop(opid, history, hist_ops);
        int res = request(s);
        if (res < 0) {
            perr(opid, "success!");
            perr0("score=", 1001 - opid, "\n");
            return;
        }
        {
            point cur = {0, 0};
            for (int i = 0; i < res; i++) {
                char c = s[i];
                auto mv = mvs[c2d(c)];
                point nxt = {cur.i + mv.i, cur.j + mv.j};
                if (history[nxt.i][nxt.j].size() == 0) {
                    history[nxt.i][nxt.j] = s;
                }
                cur = nxt;
            }
        }
        if (LOCAL) {
            perr(res);
        }
    }
    perr(opslimit, "failure!");
    perr0("score=0\n");
}
int main() {
    marathon_init();
    ioinit();
    int _h, _w;
    cin >> _h >> _w >> P;
    P *= 0.01;
    int M = 200;
    if (LOCAL) {
        cin >> M;
    }
    perr("P=", P);
    l_maketable(M);
    solve();
    return 0;
}
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