結果

問題 No.5006 Hidden Maze
ユーザー shamioshamio
提出日時 2022-06-12 16:51:48
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 111 ms / 2,000 ms
コード長 5,454 bytes
コンパイル時間 1,898 ms
実行使用メモリ 22,856 KB
スコア 0
平均クエリ数 1000.00
最終ジャッジ日時 2022-06-12 16:52:06
合計ジャッジ時間 16,539 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge11
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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 101 ms
21,892 KB
testcase_01 AC 101 ms
21,940 KB
testcase_02 AC 97 ms
22,216 KB
testcase_03 AC 96 ms
22,444 KB
testcase_04 AC 95 ms
22,216 KB
testcase_05 AC 95 ms
21,880 KB
testcase_06 AC 96 ms
22,240 KB
testcase_07 AC 98 ms
22,228 KB
testcase_08 AC 96 ms
21,992 KB
testcase_09 AC 105 ms
21,940 KB
testcase_10 AC 102 ms
22,632 KB
testcase_11 AC 96 ms
21,892 KB
testcase_12 AC 95 ms
22,844 KB
testcase_13 AC 96 ms
21,940 KB
testcase_14 AC 98 ms
21,952 KB
testcase_15 AC 96 ms
22,432 KB
testcase_16 AC 104 ms
21,892 KB
testcase_17 AC 98 ms
21,916 KB
testcase_18 AC 99 ms
21,940 KB
testcase_19 AC 98 ms
22,004 KB
testcase_20 AC 95 ms
22,480 KB
testcase_21 AC 109 ms
21,792 KB
testcase_22 AC 102 ms
21,928 KB
testcase_23 AC 99 ms
21,880 KB
testcase_24 AC 99 ms
22,564 KB
testcase_25 AC 97 ms
22,620 KB
testcase_26 AC 99 ms
21,940 KB
testcase_27 AC 97 ms
21,780 KB
testcase_28 AC 96 ms
21,928 KB
testcase_29 AC 99 ms
22,004 KB
testcase_30 AC 97 ms
22,228 KB
testcase_31 AC 97 ms
22,576 KB
testcase_32 AC 98 ms
21,928 KB
testcase_33 AC 111 ms
22,856 KB
testcase_34 AC 102 ms
21,780 KB
testcase_35 AC 102 ms
21,904 KB
testcase_36 AC 97 ms
22,204 KB
testcase_37 AC 100 ms
22,240 KB
testcase_38 AC 98 ms
21,904 KB
testcase_39 AC 97 ms
21,612 KB
testcase_40 AC 100 ms
21,940 KB
testcase_41 AC 103 ms
22,600 KB
testcase_42 AC 101 ms
21,952 KB
testcase_43 AC 97 ms
21,780 KB
testcase_44 AC 105 ms
21,768 KB
testcase_45 AC 102 ms
21,928 KB
testcase_46 AC 98 ms
22,252 KB
testcase_47 AC 98 ms
22,004 KB
testcase_48 AC 99 ms
22,704 KB
testcase_49 AC 98 ms
22,456 KB
testcase_50 AC 100 ms
21,892 KB
testcase_51 AC 101 ms
21,892 KB
testcase_52 AC 98 ms
21,904 KB
testcase_53 AC 100 ms
22,216 KB
testcase_54 AC 96 ms
22,004 KB
testcase_55 AC 96 ms
22,624 KB
testcase_56 AC 103 ms
21,908 KB
testcase_57 AC 104 ms
21,964 KB
testcase_58 AC 98 ms
21,952 KB
testcase_59 AC 99 ms
21,768 KB
testcase_60 AC 97 ms
21,940 KB
testcase_61 AC 98 ms
22,576 KB
testcase_62 AC 98 ms
21,892 KB
testcase_63 AC 98 ms
22,004 KB
testcase_64 AC 98 ms
21,940 KB
testcase_65 AC 98 ms
21,880 KB
testcase_66 AC 96 ms
21,928 KB
testcase_67 AC 95 ms
22,456 KB
testcase_68 AC 103 ms
21,928 KB
testcase_69 AC 104 ms
21,952 KB
testcase_70 AC 98 ms
21,892 KB
testcase_71 AC 97 ms
21,964 KB
testcase_72 AC 98 ms
22,004 KB
testcase_73 AC 95 ms
21,892 KB
testcase_74 AC 97 ms
22,216 KB
testcase_75 AC 96 ms
22,004 KB
testcase_76 AC 99 ms
21,940 KB
testcase_77 AC 95 ms
22,004 KB
testcase_78 AC 93 ms
21,672 KB
testcase_79 AC 93 ms
21,940 KB
testcase_80 AC 94 ms
21,904 KB
testcase_81 AC 104 ms
22,276 KB
testcase_82 AC 101 ms
21,904 KB
testcase_83 AC 95 ms
22,444 KB
testcase_84 AC 94 ms
21,952 KB
testcase_85 AC 97 ms
21,916 KB
testcase_86 AC 93 ms
21,940 KB
testcase_87 AC 95 ms
21,940 KB
testcase_88 AC 95 ms
21,780 KB
testcase_89 AC 96 ms
21,768 KB
testcase_90 AC 96 ms
21,756 KB
testcase_91 AC 96 ms
22,264 KB
testcase_92 AC 96 ms
21,892 KB
testcase_93 AC 102 ms
22,612 KB
testcase_94 AC 105 ms
22,264 KB
testcase_95 AC 96 ms
21,940 KB
testcase_96 AC 98 ms
21,916 KB
testcase_97 AC 98 ms
21,780 KB
testcase_98 AC 97 ms
21,928 KB
testcase_99 AC 98 ms
22,600 KB
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ソースコード

diff # 

#include <bits/stdc++.h>

#include <sys/time.h>

using namespace std;

void debug() { 
    std::cerr << std::endl;
    std::cerr << "↑ [line:" << __LINE__ << "]" << std::endl;
}
template<class Head, class... Tail>
void debug(Head&& head, Tail&&... tail) {
    std::cerr << head << ", ";
    debug(std::forward<Tail>(tail)...);
}

class XorShift128 {
private:
    uint32_t x, y, z, w;

public:
    XorShift128() : x(123456789), y(362436069), z(521288629), w(88675123) { }
    uint32_t rnd() {
        uint32_t t = x ^ (x << 11);
        x = y;
        y = z;
        z = w;
        return w = (w ^ (w >> 19)) ^ (t ^ (t >> 8));
    }

    uint32_t rnd(const int n) {
        return rnd() % n;
    }

    uint32_t rnd(const int l, const int r) { // [l, r]
        return rnd() % (r - l + 1) + l;
    }
};

long long get_time() {
    struct timeval tv;
    gettimeofday(&tv, NULL);
    long long result =  tv.tv_sec * 1000LL + tv.tv_usec / 1000LL;
    return result;
}

template<class T>
ostream& operator<<(ostream& ostr, const vector<T>& vec) {
    ostr << "(";
    for (const T& val : vec) {
        ostr << val << ", ";
    }
    ostr << ")";
    return ostr;
}

mt19937 engine(890482);

XorShift128 xor_shift_128;
long long start;

const int N = 20;
const int MAX_TURNS = 1000;
const int MAX_MOVES = 400;
const int SH = 0, SW = 0, GH = N - 1, GW = N - 1;

const double NO_WALL_PROB_INIT = 0.9999;
const double NO_WALL = 1.0;
const int NIL = -1;

const int DH[4]      = { -1,   0,   1,   0};
const int DW[4]      = {  0,  -1,   0,   1};
const char D_CHAR[4] = {'U', 'L', 'D', 'R'};

int H, W, P;
double prob = (double)P / 100.0;

array<array<double, N>, N-1> no_wall_prob_ver;
array<array<double, N-1>, N> no_wall_prob_hor;

void init() {
    // input
    cin >> H >> W >> P;

    // others
    for (int i = 0; i < N; ++i) {
        for (int j = 0; j < N - 1; ++j) {
            no_wall_prob_hor[i][j] = NO_WALL_PROB_INIT;
            no_wall_prob_ver[j][i] = NO_WALL_PROB_INIT;
        }
    }
}

bool in_grid(int h, int w) {
    return 0 <= h && h < N && 0 <= w && w < N;
}

void print_output(const vector<int>& output) {
    for (const int di: output) {
        cout << D_CHAR[di];
    }
    cout << endl;
}

double& get_no_wall_prob(int hi, int wi, int hj, int wj) {
    if (hi == hj) {
        // horizontal wall
        int mn = min(wi, wj);
        int mx = max(wi, wj);
        assert(mn + 1 == mx);
        return no_wall_prob_hor[hi][mn];
    } else if (wi == wj) {
        // vertical wall
        int mn = min(hi, hj);
        int mx = max(hi, hj);
        assert(mn + 1 == mx);
        return no_wall_prob_ver[mn][wi];
    } else {
        assert(false);
    }
}

void update_no_wall_prob(const vector<int>& output, const int end_turn) {
    int h = SH, w = SW;
    for (int ti = 0; ti < end_turn - 1; ++ti) {
        int di = output[ti];
        int nh = h + DH[di];
        int nw = w + DW[di];
        double& no_wall_prob = get_no_wall_prob(h, w, nh, nw);
        no_wall_prob = NO_WALL;
        h = nh;
        w = nw;
    }

    int di = output[end_turn - 1];
    int nh = h + DH[di];
    int nw = w + DW[di];
    double& no_wall_prob = get_no_wall_prob(h, w, nh, nw);
    if (no_wall_prob < NO_WALL) {
        no_wall_prob *= 1.0 - prob;
    }
}

int get_opposite_dir(int di) {
    return (di + 2) % 4;
}

const double INF = 1000000.0;
array<int, 4> dir = {0, 1, 2, 3};
vector<int> find_shortest_path() {
    array<array<double, N>, N> dists;
    array<array<int, N>, N> prev;
    for (int hi = 0; hi < N; ++hi) {
        for (int wi = 0; wi < N; ++wi) {
            dists[hi][wi] = INF;
            prev[hi][wi] = NIL;
        }
    }
    dists[SH][SW] = 0.0;
    priority_queue<tuple<double, int, int>> pq;
    pq.emplace(make_tuple(-0.0, SH, SW));
    while (!pq.empty()) {
        tuple<double, int, int> tpl = pq.top(); pq.pop();
        double d = -get<0>(tpl);
        int h = get<1>(tpl);
        int w = get<2>(tpl);
        if (dists[h][w] != d) {
            continue;
        }
        if (h == GH && w == GW) {
            break;
        }

        shuffle(dir.begin(), dir.end(), engine);
        for (const int di : dir) {
            int nh = h + DH[di];
            int nw = w + DW[di];
            if (!in_grid(nh, nw)) {
                continue;
            }

            const double no_wall_prob = get_no_wall_prob(h, w, nh, nw);
            double nd = d + (1.0 - no_wall_prob);
            if (nd < dists[nh][nw]) {
                dists[nh][nw] = nd;
                prev[nh][nw] = di;
                pq.emplace(make_tuple(-nd, nh, nw));
            }
        }
    }

    // restore
    vector<int> route;
    int h = GH;
    int w = GW;
    while (!(h == SH && w == SW)) {
        int di = prev[h][w];
        route.emplace_back(di);
        int opp_di = get_opposite_dir(di);
        h += DH[opp_di];
        w += DW[opp_di];
    }
    reverse(route.begin(), route.end());
    
    return route;
}

void solve() {
    for (int turn = 0; turn < MAX_TURNS; ++turn) {
        vector<int> output = find_shortest_path();
        assert(output.size() <= MAX_MOVES);
        print_output(output);
        int end_turn;
        cin >> end_turn;
        if (end_turn == -1) {
            break;
        }
        update_no_wall_prob(output, end_turn);
    }
}

int main() {
    start = get_time();

    init();
    solve();

    long long end = get_time();
    cerr << "time elapsed: " << end - start << endl;
}
0