#770643 (C++17) No.5006 Hidden Maze

提出ソース

結果

問題	No.5006 Hidden Maze
ユーザー	t33f
提出日時	2022-06-12 16:56:37
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	88 ms / 2,000 ms
コード長	8,452 bytes
コンパイル時間	1,033 ms
実行使用メモリ	22,876 KB
スコア	77,626
平均クエリ数	224.74
最終ジャッジ日時	2022-06-12 16:56:46
合計ジャッジ時間	8,607 ms
ジャッジサーバーID （参考情報）	judge13 / judge14
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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	AC	22 ms 21,904 KB
testcase_01	AC	25 ms 21,768 KB
testcase_02	AC	23 ms 22,808 KB
testcase_03	AC	27 ms 21,952 KB
testcase_04	AC	28 ms 21,952 KB
testcase_05	AC	46 ms 22,576 KB
testcase_06	AC	28 ms 21,916 KB
testcase_07	AC	33 ms 21,768 KB
testcase_08	AC	29 ms 21,768 KB
testcase_09	AC	88 ms 22,612 KB
testcase_10	AC	21 ms 21,880 KB
testcase_11	AC	20 ms 22,264 KB
testcase_12	AC	22 ms 21,904 KB
testcase_13	AC	25 ms 21,928 KB
testcase_14	AC	22 ms 21,980 KB
testcase_15	AC	24 ms 21,952 KB
testcase_16	AC	21 ms 22,636 KB
testcase_17	AC	43 ms 22,468 KB
testcase_18	AC	33 ms 22,192 KB
testcase_19	AC	21 ms 22,572 KB
testcase_20	AC	18 ms 21,868 KB
testcase_21	AC	19 ms 21,940 KB
testcase_22	AC	17 ms 21,940 KB
testcase_23	AC	22 ms 21,868 KB
testcase_24	AC	28 ms 22,600 KB
testcase_25	AC	28 ms 22,612 KB
testcase_26	AC	87 ms 22,588 KB
testcase_27	AC	64 ms 22,288 KB
testcase_28	AC	27 ms 22,456 KB
testcase_29	AC	85 ms 21,964 KB
testcase_30	AC	20 ms 22,288 KB
testcase_31	AC	20 ms 21,904 KB
testcase_32	AC	33 ms 21,916 KB
testcase_33	AC	27 ms 22,264 KB
testcase_34	AC	17 ms 21,904 KB
testcase_35	AC	25 ms 21,808 KB
testcase_36	AC	39 ms 22,572 KB
testcase_37	AC	77 ms 21,892 KB
testcase_38	AC	37 ms 22,624 KB
testcase_39	AC	36 ms 22,572 KB
testcase_40	AC	18 ms 21,964 KB
testcase_41	AC	22 ms 21,940 KB
testcase_42	AC	17 ms 22,876 KB
testcase_43	AC	29 ms 21,780 KB
testcase_44	AC	20 ms 21,940 KB
testcase_45	AC	24 ms 22,276 KB
testcase_46	AC	87 ms 22,584 KB
testcase_47	AC	22 ms 22,540 KB
testcase_48	AC	82 ms 22,588 KB
testcase_49	AC	81 ms 21,756 KB
testcase_50	AC	20 ms 21,892 KB
testcase_51	AC	18 ms 21,892 KB
testcase_52	AC	23 ms 22,016 KB
testcase_53	AC	31 ms 21,916 KB
testcase_54	AC	33 ms 22,716 KB
testcase_55	AC	30 ms 22,204 KB
testcase_56	AC	35 ms 21,784 KB
testcase_57	AC	26 ms 21,768 KB
testcase_58	AC	36 ms 21,916 KB
testcase_59	AC	19 ms 22,716 KB
testcase_60	AC	20 ms 21,928 KB
testcase_61	AC	20 ms 21,940 KB
testcase_62	AC	28 ms 22,016 KB
testcase_63	AC	23 ms 21,768 KB
testcase_64	AC	32 ms 21,904 KB
testcase_65	AC	27 ms 21,904 KB
testcase_66	AC	26 ms 22,192 KB
testcase_67	AC	35 ms 22,588 KB
testcase_68	AC	53 ms 21,904 KB
testcase_69	AC	49 ms 21,964 KB
testcase_70	AC	20 ms 22,552 KB
testcase_71	AC	21 ms 21,916 KB
testcase_72	AC	18 ms 22,288 KB
testcase_73	AC	35 ms 21,904 KB
testcase_74	AC	26 ms 22,264 KB
testcase_75	AC	25 ms 22,228 KB
testcase_76	AC	41 ms 22,016 KB
testcase_77	AC	54 ms 21,796 KB
testcase_78	AC	39 ms 22,456 KB
testcase_79	AC	66 ms 21,768 KB
testcase_80	AC	20 ms 22,624 KB
testcase_81	AC	21 ms 21,804 KB
testcase_82	AC	22 ms 21,792 KB
testcase_83	AC	20 ms 22,228 KB
testcase_84	AC	25 ms 22,456 KB
testcase_85	AC	34 ms 22,468 KB
testcase_86	AC	23 ms 22,288 KB
testcase_87	AC	28 ms 21,940 KB
testcase_88	AC	38 ms 21,904 KB
testcase_89	AC	41 ms 21,904 KB
testcase_90	AC	20 ms 21,780 KB
testcase_91	AC	24 ms 21,768 KB
testcase_92	AC	21 ms 21,940 KB
testcase_93	AC	24 ms 22,456 KB
testcase_94	AC	28 ms 22,240 KB
testcase_95	AC	19 ms 21,940 KB
testcase_96	AC	24 ms 21,940 KB
testcase_97	AC	83 ms 21,892 KB
testcase_98	AC	35 ms 21,952 KB
testcase_99	AC	33 ms 21,980 KB

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ソースコード

raw source code

#include <numeric>
#include <algorithm>
#include <tuple>
#include <queue>
#include <cmath>
#include <chrono>
#include <cassert>
#include <iostream>
using namespace std;

unsigned int xor128() {
    static unsigned int x=123456789, y=362436069, z=521288629, w=88675123;
    unsigned int t;
    t=(x^(x<<11)); x=y; y=z; z=w;
    return (w=(w^(w>>19))^(t^(t>>8)));
}

inline bool rand_bool(double prob) {
    constexpr double x = 1LL<<32; // uint_max+1
    return xor128() < prob * x;
}

inline bool rand_bool() {
    return xor128() < 1u<<31;
}

inline double rand(double lb, double ub) {
    assert(lb < ub);
    unsigned int x = xor128();
    return lb + (ub - lb) * x / double(1LL<<32);
}

inline int rand_int(int n) { return xor128()%n; }

int timelimit = 2 * 1000, margin = 50;

class Timer {
  chrono::system_clock::time_point start_time = chrono::system_clock::now();
public:
  Timer() {}
  int get_elapsed_time() {
    auto diff = chrono::system_clock::now() - start_time;
    return chrono::duration_cast<chrono::milliseconds>(diff).count();
  }
} timer;


constexpr int H = 20, W = 20;

bool is_valid(int x, int y) {
    return 0 <= x && x < H && 0 <= y && y < W;
}

const char dirs[] = {'D', 'R', 'U', 'L'};
const pair<int, int> dxdy[] = {{1, 0}, {0, 1}, {-1, 0}, {0, -1}};

double L2(int x, int y, int z, int w) {
    const int dx = x - z, dy = y - w;
    return sqrt(dx * dx + dy * dy);
}

bool is_opposite(char a, char b) {
    if (a == 'D') return b == 'U';
    if (a == 'U') return b == 'D';
    if (a == 'L') return b == 'R';
    assert(a == 'R');
    return b == 'L';
}

pair<int, int> make_move(int i, int j, char c) {
    if (c == 'D') return {i + 1, j};
    if (c == 'U') return {i - 1, j};
    if (c == 'L') return {i, j - 1};
    assert(c == 'R');
    return {i, j + 1};
}

class ReactiveWrapper {
    bool write_log = false;
public:
    void enable_logging() { write_log = true; }
    void disable_logging() { write_log = true; }
    int write(const string &s) {
        cout << s << endl;
        int n; cin >> n;
        if (write_log) { cerr << s << '\n' << n << endl; }
        return n;
    }
};

class Solver {
    double wall_rate = 150.0 / 760;
    const double fail_prob;
    double wall_prob[2][H][W];
    int fail_count[2][H][W];
    bool passed[2][H][W];
public:
    Solver(int p) : fail_prob(p * 0.01) {
        for (int i = 0; i < H; i++)
            for (int j = 0; j < W; j++) {
                fail_count[0][i][j] = 0;
                fail_count[1][i][j] = 0;
                passed[0][i][j] = false;
                passed[1][i][j] = false;
            }
        update_prob();
    }
    void update_wall_rate() {
        int tried = 0, ok = 0;
        for (int i = 0; i < H; i++)
            for (int j = 0; j < W; j++) {
                if (passed[0][i][j]) { tried++; ok++; }
                else if (fail_count[0][i][j] > 0) tried++;
                if (passed[1][i][j]) { tried++; ok++; }
                else if (fail_count[1][i][j] > 0) tried++;
            }
        // 大きめに推定される？（サンプルが一様でないので？）
        wall_rate = 0.99 * wall_rate + 0.01 * (tried - ok) / tried;
    };
    void update_prob() {
        for (int i = 0; i < H; i++)
            for (int j = 0; j < W; j++)
                update_prob(i, j);
    }
    void update_prob(int i, int j) {
        wall_prob[0][i][j] = (passed[0][i][j] ? 0.0 :
                              wall_rate / (wall_rate + pow(fail_prob, fail_count[0][i][j]) * (1 - wall_rate)));
        wall_prob[1][i][j] = (passed[1][i][j] ? 0.0 :
                              wall_rate / (wall_rate + pow(fail_prob, fail_count[1][i][j]) * (1 - wall_rate)));
    }
    string create_path(int turn) {
        int priority[H][W][4];
        for (int i = 0; i < H; i++)
            for (int j = 0; j < W; j++) {
                iota(priority[i][j], priority[i][j] + 4, 0);
                for (int k = 1; k < 4; k++) {
                    const int l = rand_int(k);
                    if (l != k) swap(priority[i][j][k], priority[i][j][l]);
                }
            }

        double dist[H][W];
        tuple<char, int, int> from[H][W];
        priority_queue<tuple<double, int, int> > pq;
        for (int i = 0; i < H; i++) for (int j = 0; j < W; j++) dist[i][j] = 1e100;
        dist[0][0] = 0;
        pq.emplace(0, 0, 0);
        while (!pq.empty()) {
            const auto [d, x, y] = pq.top();
            pq.pop();
            if (dist[x][y] < d) continue;
            for (int k = 0; k < 4; k++) {
                const char c = dirs[k];
                const auto [dx, dy] = dxdy[k];
                const int x1 = x + dx, y1 = y + dy;
                if (!is_valid(x1, y1)) continue;
                const double wp = [this, c, x1, y1, x = x, y = y] {
                    switch (c) {
                    case 'L':
                        return wall_prob[0][x1][y1];
                    case 'R':
                        return wall_prob[0][x][y];
                    case 'D':
                        return wall_prob[1][x][y];
                    default:
                        assert(c == 'U');
                        return wall_prob[1][x1][y1];
                    }
                }();
                if (wp > 1 - 1e-3) continue;
                double d1 = -d;
                d1 += 1 / (1 - wp);
                // d1 += (turn > 500 ? wp : 1 / (1 - wp));
                d1 += 0.2 * L2(x1, y1, H / 2, W / 2) * pow(1 - turn / 1000.0, 2);
                if (dist[x1][y1] > d1) {
                    dist[x1][y1] = d1;
                    pq.emplace(-d1, x1, y1);
                    from[x1][y1] = {c, x, y};
                }
            }
        }
        string out;
        for (int x = H - 1, y = W - 1; x != 0 || y != 0; ) {
            // cerr << x << ' ' << y << ' ' << dist[x][y] << endl;
            assert(is_valid(x, y));
            const auto [c, x1, y1] = from[x][y];
            out.push_back(c);
            x = x1;
            y = y1;
        }
        reverse(out.begin(), out.end());
        return out;
    }
    void run(ReactiveWrapper wrapper) {
        //wrapper.enable_logging();
        for (int turn = 1; ; turn++) {
            string out = create_path(turn);
            const int r = wrapper.write(out);
            if (r == -1) break;
            int x = 0, y = 0;
            for (int i = 0; i < r; i++) {
                switch (out[i]) {
                case 'U':
                    assert(x > 0);
                    x--;
                    passed[1][x][y] = true;
                    wall_prob[1][x][y] = 0;
                    break;
                case 'D':
                    assert(x + 1 < H);
                    passed[1][x][y] = true;
                    wall_prob[1][x][y] = 0;
                    x++;
                    break;
                case 'L':
                    assert(y > 0);
                    y--;
                    passed[0][x][y] = true;
                    wall_prob[0][x][y] = 0;
                    break;
                default:
                    assert(out[i] == 'R');
                    assert(y + 1 < W);
                    passed[0][x][y] = true;
                    wall_prob[0][x][y] = 0;
                    y++;
                }
            }
            if (r < out.size()) {
                switch(out[r]) {
                case 'U':
                    if (x > 0) {
                        fail_count[1][x - 1][y]++;
                        update_prob(x - 1, y);
                    }
                    break;
                case 'D':
                    if (x + 1 < H) {
                        fail_count[1][x][y]++;
                        update_prob(x, y);
                    }
                    break;
                case 'L':
                    if (y > 0) {
                        fail_count[0][x][y - 1]++;
                        update_prob(x, y - 1);
                    }
                    break;
                default:
                    assert(out[r] == 'R');
                    if (y + 1 < W) {
                        fail_count[0][x][y]++;
                        update_prob(x, y);
                    }
                }
            }
            update_wall_rate();
        }
    }
};

int main() {
    { int h, w; cin >> h >> w; assert(h == H && w == W); }
    int p;
    cin >> p;
    assert(6 <= p && p <= 15);

    ReactiveWrapper rw;
    Solver s(p);
    s.run(rw);
}

yukicoder

結果

テストケース

ソースコード