結果

問題 No.5006 Hidden Maze
ユーザー iiljjiiljj
提出日時 2022-06-12 15:14:47
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 116 ms / 2,000 ms
コード長 15,800 bytes
コンパイル時間 1,466 ms
実行使用メモリ 22,864 KB
スコア 72,432
平均クエリ数 276.68
最終ジャッジ日時 2022-06-12 15:14:57
合計ジャッジ時間 9,889 ms
ジャッジサーバーID
(参考情報)
judge13 / judge14
純コード判定しない問題か言語
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 AC 24 ms
21,780 KB
testcase_01 AC 39 ms
21,892 KB
testcase_02 AC 18 ms
21,768 KB
testcase_03 AC 20 ms
21,916 KB
testcase_04 AC 30 ms
21,904 KB
testcase_05 AC 60 ms
21,768 KB
testcase_06 AC 30 ms
22,444 KB
testcase_07 AC 82 ms
22,612 KB
testcase_08 AC 103 ms
21,892 KB
testcase_09 AC 46 ms
21,756 KB
testcase_10 AC 21 ms
22,216 KB
testcase_11 AC 24 ms
22,264 KB
testcase_12 AC 33 ms
22,600 KB
testcase_13 AC 26 ms
22,552 KB
testcase_14 AC 51 ms
21,780 KB
testcase_15 AC 24 ms
22,704 KB
testcase_16 AC 23 ms
22,624 KB
testcase_17 AC 22 ms
22,624 KB
testcase_18 AC 48 ms
21,880 KB
testcase_19 AC 25 ms
21,904 KB
testcase_20 AC 21 ms
21,756 KB
testcase_21 AC 22 ms
22,576 KB
testcase_22 AC 23 ms
22,228 KB
testcase_23 AC 21 ms
21,780 KB
testcase_24 AC 29 ms
21,940 KB
testcase_25 AC 22 ms
22,600 KB
testcase_26 AC 108 ms
21,952 KB
testcase_27 AC 63 ms
22,456 KB
testcase_28 AC 42 ms
22,204 KB
testcase_29 AC 102 ms
22,564 KB
testcase_30 AC 19 ms
21,768 KB
testcase_31 AC 27 ms
22,608 KB
testcase_32 AC 30 ms
21,952 KB
testcase_33 AC 27 ms
22,608 KB
testcase_34 AC 26 ms
21,980 KB
testcase_35 AC 31 ms
22,864 KB
testcase_36 AC 27 ms
21,892 KB
testcase_37 AC 35 ms
21,892 KB
testcase_38 AC 44 ms
21,952 KB
testcase_39 AC 43 ms
21,880 KB
testcase_40 AC 22 ms
21,808 KB
testcase_41 AC 25 ms
22,704 KB
testcase_42 AC 21 ms
21,892 KB
testcase_43 AC 38 ms
22,704 KB
testcase_44 AC 25 ms
22,204 KB
testcase_45 AC 28 ms
21,768 KB
testcase_46 AC 107 ms
21,904 KB
testcase_47 AC 98 ms
22,536 KB
testcase_48 AC 34 ms
21,892 KB
testcase_49 AC 107 ms
21,904 KB
testcase_50 AC 21 ms
21,928 KB
testcase_51 AC 20 ms
22,384 KB
testcase_52 AC 28 ms
22,444 KB
testcase_53 AC 31 ms
21,892 KB
testcase_54 AC 21 ms
22,216 KB
testcase_55 AC 35 ms
22,600 KB
testcase_56 AC 27 ms
21,780 KB
testcase_57 AC 73 ms
21,892 KB
testcase_58 AC 84 ms
21,768 KB
testcase_59 AC 116 ms
21,940 KB
testcase_60 AC 24 ms
21,892 KB
testcase_61 AC 19 ms
22,456 KB
testcase_62 AC 34 ms
21,952 KB
testcase_63 AC 23 ms
22,576 KB
testcase_64 AC 28 ms
21,916 KB
testcase_65 AC 32 ms
22,576 KB
testcase_66 AC 21 ms
22,600 KB
testcase_67 AC 59 ms
21,808 KB
testcase_68 AC 66 ms
21,780 KB
testcase_69 AC 82 ms
22,216 KB
testcase_70 AC 19 ms
21,904 KB
testcase_71 AC 19 ms
21,992 KB
testcase_72 AC 27 ms
22,276 KB
testcase_73 AC 50 ms
21,892 KB
testcase_74 AC 20 ms
21,964 KB
testcase_75 AC 53 ms
21,904 KB
testcase_76 AC 45 ms
22,612 KB
testcase_77 AC 103 ms
21,892 KB
testcase_78 AC 108 ms
21,768 KB
testcase_79 AC 43 ms
22,216 KB
testcase_80 AC 20 ms
22,204 KB
testcase_81 AC 23 ms
21,768 KB
testcase_82 AC 20 ms
22,600 KB
testcase_83 AC 18 ms
21,940 KB
testcase_84 AC 51 ms
21,980 KB
testcase_85 AC 52 ms
22,564 KB
testcase_86 AC 27 ms
22,620 KB
testcase_87 AC 24 ms
21,916 KB
testcase_88 AC 43 ms
21,780 KB
testcase_89 AC 98 ms
22,704 KB
testcase_90 AC 22 ms
22,252 KB
testcase_91 AC 24 ms
22,276 KB
testcase_92 AC 25 ms
21,940 KB
testcase_93 AC 26 ms
21,904 KB
testcase_94 AC 31 ms
21,768 KB
testcase_95 AC 42 ms
21,904 KB
testcase_96 AC 28 ms
22,704 KB
testcase_97 AC 99 ms
22,456 KB
testcase_98 AC 111 ms
22,588 KB
testcase_99 AC 34 ms
21,952 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

/* #region Head */

// #include <bits/stdc++.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert> // assert.h
#include <cmath>   // math.h
#include <cstring>
#include <ctime>
#include <deque>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <memory>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>
using namespace std;

using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll, ll>;
template <class T> using vc = vector<T>;
template <class T> using vvc = vc<vc<T>>;
using vll = vc<ll>;
using vvll = vvc<ll>;
using vld = vc<ld>;
using vvld = vvc<ld>;
using vs = vc<string>;
using vvs = vvc<string>;
template <class T, class U> using um = unordered_map<T, U>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqa = priority_queue<T, vc<T>, greater<T>>;
template <class T> using us = unordered_set<T>;

#define TREP(T, i, m, n) for (T i = (m), i##_len = (T)(n); i < i##_len; ++(i))
#define TREPM(T, i, m, n) for (T i = (m), i##_max = (T)(n); i <= i##_max; ++(i))
#define TREPR(T, i, m, n) for (T i = (m), i##_min = (T)(n); i >= i##_min; --(i))
#define TREPD(T, i, m, n, d) for (T i = (m), i##_len = (T)(n); i < i##_len; i += (d))
#define TREPMD(T, i, m, n, d) for (T i = (m), i##_max = (T)(n); i <= i##_max; i += (d))

#define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i))
#define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i))
#define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i))
#define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d))
#define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d))
#define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
#define REPIR(itr, ds) for (auto itr = ds.rbegin(); itr != ds.rend(); itr++)
#define ALL(x) begin(x), end(x)
#define SIZE(x) ((ll)(x).size())
#define ISIZE(x) ((int)(x).size())
#define PERM(c)                                                                                                        \
    sort(ALL(c));                                                                                                      \
    for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c)))
#define UNIQ(v) v.erase(unique(ALL(v)), v.end());
#define CEIL(a, b) (((a) + (b)-1) / (b))

#define endl '\n'

constexpr ll INF = 1'010'000'000'000'000'017LL;
constexpr int IINF = 1'000'000'007LL;
constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7
// constexpr ll MOD = 998244353;
constexpr ld EPS = 1e-12;
constexpr ld PI = 3.14159265358979323846;

template <typename T> istream &operator>>(istream &is, vc<T> &vec) { // vector 入力
    for (T &x : vec) is >> x;
    return is;
}
template <typename T> ostream &operator<<(ostream &os, const vc<T> &vec) { // vector 出力 (for dump)
    os << "{";
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", ");
    os << "}";
    return os;
}
template <typename T> ostream &operator>>(ostream &os, const vc<T> &vec) { // vector 出力 (inline)
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " ");
    return os;
}

template <typename T, size_t _Nm> istream &operator>>(istream &is, array<T, _Nm> &arr) { // array 入力
    REP(i, 0, SIZE(arr)) is >> arr[i];
    return is;
}
template <typename T, size_t _Nm> ostream &operator<<(ostream &os, const array<T, _Nm> &arr) { // array 出力 (for dump)
    os << "{";
    REP(i, 0, SIZE(arr)) os << arr[i] << (i == i_len - 1 ? "" : ", ");
    os << "}";
    return os;
}

template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &pair_var) { // pair 入力
    is >> pair_var.first >> pair_var.second;
    return is;
}
template <typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &pair_var) { // pair 出力
    os << "(" << pair_var.first << ", " << pair_var.second << ")";
    return os;
}

// map, um, set, us 出力
template <class T> ostream &out_iter(ostream &os, const T &map_var) {
    os << "{";
    REPI(itr, map_var) {
        os << *itr;
        auto itrcp = itr;
        if (++itrcp != map_var.end()) os << ", ";
    }
    return os << "}";
}
template <typename T, typename U> ostream &operator<<(ostream &os, const map<T, U> &map_var) {
    return out_iter(os, map_var);
}
template <typename T, typename U> ostream &operator<<(ostream &os, const um<T, U> &map_var) {
    os << "{";
    REPI(itr, map_var) {
        auto [key, value] = *itr;
        os << "(" << key << ", " << value << ")";
        auto itrcp = itr;
        if (++itrcp != map_var.end()) os << ", ";
    }
    os << "}";
    return os;
}
template <typename T> ostream &operator<<(ostream &os, const set<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, const us<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, const pq<T> &pq_var) {
    pq<T> pq_cp(pq_var);
    os << "{";
    if (!pq_cp.empty()) {
        os << pq_cp.top(), pq_cp.pop();
        while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop();
    }
    return os << "}";
}

// tuple 出力
template <size_t N = 0, bool end_line = false, typename... Args> ostream &operator<<(ostream &os, tuple<Args...> &a) {
    if constexpr (N < std::tuple_size_v<tuple<Args...>>) {
        os << get<N>(a);
        if constexpr (N + 1 < std::tuple_size_v<tuple<Args...>>) {
            os << ' ';
        } else if constexpr (end_line) {
            os << '\n';
        }
        return operator<<<N + 1, end_line>(os, a);
    }
    return os;
}
template <typename... Args> void print_tuple(tuple<Args...> &a) { operator<<<0, true>(cout, a); }

void pprint() { cout << endl; }
template <class Head, class... Tail> void pprint(Head &&head, Tail &&...tail) {
    cout << head;
    if (sizeof...(Tail) > 0) cout << ' ';
    pprint(move(tail)...);
}

// dump
#define DUMPOUT cerr
void dump_func() { DUMPOUT << endl; }
template <class Head, class... Tail> void dump_func(Head &&head, Tail &&...tail) {
    DUMPOUT << head;
    if (sizeof...(Tail) > 0) DUMPOUT << ", ";
    dump_func(move(tail)...);
}

// chmax (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmax(T &xmax, const U &x, Comp comp = {}) {
    if (comp(xmax, x)) {
        xmax = x;
        return true;
    }
    return false;
}

// chmin (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmin(T &xmin, const U &x, Comp comp = {}) {
    if (comp(x, xmin)) {
        xmin = x;
        return true;
    }
    return false;
}

// ローカル用
#ifndef ONLINE_JUDGE
#define DEBUG_
#endif

#ifndef MYLOCAL
#undef DEBUG_
#endif

#ifdef DEBUG_
#define DEB
#define dump(...)                                                                                                      \
    DUMPOUT << "  " << string(#__VA_ARGS__) << ": "                                                                    \
            << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl                                        \
            << "    ",                                                                                                 \
        dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif

#define VAR(type, ...)                                                                                                 \
    type __VA_ARGS__;                                                                                                  \
    assert((cin >> __VA_ARGS__));

template <typename T> istream &operator,(istream &is, T &rhs) { return is >> rhs; }
template <typename T> ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; }

struct AtCoderInitialize {
    static constexpr int IOS_PREC = 15;
    static constexpr bool AUTOFLUSH = true;
    AtCoderInitialize() {
        ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
        cout << fixed << setprecision(IOS_PREC);
        if (AUTOFLUSH) cout << unitbuf;
    }
} ATCODER_INITIALIZE;

void Yn(bool p) { cout << (p ? "Yes" : "No") << endl; }
void YN(bool p) { cout << (p ? "YES" : "NO") << endl; }

template <typename T> constexpr void operator--(vc<T> &v, int) noexcept {
    for (int i = 0; i < ISIZE(v); ++i) v[i]--;
}
template <typename T> constexpr void operator++(vc<T> &v, int) noexcept {
    for (int i = 0; i < ISIZE(v); ++i) v[i]++;
}

/* #endregion */

// #include <atcoder/all>
// using namespace atcoder;

using coord_t = short;
constexpr coord_t H = 20;
constexpr coord_t W = 20;

/* #region dijkstra_f_restore */

constexpr double dinf = double(INF);
using Weight = double;
Weight inf = dinf;
/**
 * @param N ノード数
 * @param delta 隣接行列を生成する関数.delta(Node v, fn(Node t)).
 *              fn は現在の頂点 current と隣接する頂点を探索する関数.
 * @param index 頂点→頂点インデックス,のマップ関数.(index(Node v) -> int)
 * @return 距離テーブル
 */
template <class Node, class Delta, class Index>
pair<Weight, vc<int>> dijkstra_f_restore(int N, const vc<Node> &starts, const Node &terminal, Delta delta, Index index,
                                         Weight init = 0) {
    struct state {
        Weight cost;
        Node dst;
        state(Weight cost, Node dst) : cost(cost), dst(dst) {}
        bool operator<(const state &o) const { return cost > o.cost; }
        // bool operator>(const state &o) const { return cost > o.cost; }
    };

    vc<int> bs(N, -1);         // 経路復元用
    vc<Weight> dist(N, inf);   // 距離テーブル
    priority_queue<state> que; // 「訪問予定」頂点リスト
    for (const Node &start : starts) {
        int idx = index(start);
        assert(0 <= idx && idx < N);
        dist[idx] = init; // 初期条件 (頂点 start を初期頂点とする)
        que.emplace(init, start);
    }

    while (!que.empty()) {
        state cur = que.top(); // tie(d, v) = que.top();
        que.pop();
        Node current = cur.dst;
        Weight cur_dist = cur.cost;
        int ci = index(current);

        // 隣接ノードに関するループは外に出す
        delta(current, [&](Node dst, Weight weight) -> void {
            Weight nxt_dist = cur_dist + weight;

            int idx = index(dst);
            assert(0 <= idx && idx < N);
            if (chmin(dist[idx], nxt_dist)) {
                que.emplace(nxt_dist, dst);
                bs[idx] = ci;
            }
        });
    }
    // dump(dist);

    // 経路復元
    vc<int> res;
    int dst = index(terminal);
    int dst_bak = dst;
    // if (bs[dst] < 0) return res;
    while (~dst) res.emplace_back(dst), dst = bs[dst];
    reverse(ALL(res));
    // return res;

    return {dist[dst_bak], res};
}

/* #endregion */

// Problem
void solve() {
    VAR(int, h, w, p);
    // assert(h == H);
    // assert(w == W);
    assert(6 <= p && p <= 15);

    double P = double(p) / 100;

    int wall_place_sum = (h * (w - 1)) + ((h - 1) * w);
    int wall_cnt = 11; // これくらい壁がある
    // int wall_cnt = 150; // これくらい壁がある

    int ok_cnt = 0;                                  // 壁がないことが確定した箇所の個数
    vc<vc<int>> ok_horizontal(h, vc<int>(w - 1, 0)); // 横移動可能が確定したかどうか
    vc<vc<int>> ok_vertical(h - 1, vc<int>(w, 0));   // 縦移動可能が確定したかどうか

    vc<vc<int>> ng_cnt_horizontal(h, vc<int>(w - 1, 0)); // 横移動できなかった回数(一度でも移動できたらクリア)
    vc<vc<int>> ng_cnt_vertical(h - 1, vc<int>(w, 0)); // 縦移動できなかった回数(一度でも移動できたらクリア)

    using Node = pair<coord_t, coord_t>; // row, col
    const static vc<coord_t> dx{1, 0, -1, 0};
    Node start = {0, 0};
    Node goal = {h - 1, w - 1};

    // 隣接行列生成関数
    auto delta = [&](const Node &current, function<void(Node, double)> transit) -> void {
        auto [r, c] = current;
        // 隣接ノードに関するループ
        for (short q = 0; q < 4; q++) {
            coord_t nr = r + dx[q];
            coord_t nc = c + dx[q ^ 1];
            if (nr < 0 || nr >= h || nc < 0 || nc >= w) continue;
            double cost = 0;
            if (nr == r) {
                // 横移動
                if (ok_horizontal[r][min(c, nc)] == 1) {
                    // コスト 0 確定
                } else {
                    if (ng_cnt_horizontal[r][min(c, nc)] == 0) {
                        cost += double(wall_cnt) / (wall_place_sum - ok_cnt) / 100;
                    } else {
                        cost += 1.0 - powl(P, ng_cnt_horizontal[r][min(c, nc)]);
                    }
                }
            } else {
                // 縦移動
                if (ok_vertical[min(r, nr)][c] == 1) {
                    // コスト 0 確定
                } else {
                    if (ng_cnt_vertical[min(r, nr)][c] == 0) {
                        cost += double(wall_cnt) / (wall_place_sum - ok_cnt) / 100;
                    } else {
                        cost += 1.0 - powl(P, ng_cnt_vertical[min(r, nr)][c]);
                    }
                }
            }
            // if (r == 1 && c == 4 && nr == 2) {
            //     dump(cost);
            // }
            transit(Node(nr, nc), cost); // コスト 1 で遷移
        }
    };
    // インデックス生成関数
    auto index = [&](const Node &v) -> int { return v.first * w + v.second; };

    TREP(int, trial, 0, 1001) {
        // dump(double(wall_cnt) / (wall_place_sum - ok_cnt));
        // dump(ng_cnt_vertical);
        auto [dist, res] = dijkstra_f_restore(h * w, vc<Node>{start}, goal, delta, index, double(0));
        // dump(res);
        const int len = ISIZE(res);
        string ans;
        TREP(int, i, 1, len) {
            int r = res[i] / w;
            int c = res[i] % w;
            int pr = res[i - 1] / w;
            int pc = res[i - 1] % w;
            if (r == pr) {
                if (c > pc)
                    ans.push_back('R');
                else
                    ans.push_back('L');
            } else {
                if (r > pr)
                    ans.push_back('D');
                else
                    ans.push_back('U');
            }
        }
        pprint(ans);
        // break;

        VAR(int, ok_len);
        if (ok_len == -1) break;

        // ok_cnt += ok_len;
        TREPM(int, i, 1, ok_len) {
            int r = res[i] / w;
            int c = res[i] % w;
            int pr = res[i - 1] / w;
            int pc = res[i - 1] % w;
            if (r == pr) {
                if (ok_horizontal[r][min(c, pc)] == 0) {
                    ok_horizontal[r][min(c, pc)] = 1;
                    ok_cnt++;
                }
            } else {
                if (ok_vertical[min(r, pr)][c] == 0) {
                    ok_vertical[min(r, pr)][c] = 1;
                    ok_cnt++;
                }
            }
        }
        {
            int r = res[ok_len + 1] / w;
            int c = res[ok_len + 1] % w;
            int pr = res[ok_len] / w;
            int pc = res[ok_len] % w;
            if (r == pr) {
                ng_cnt_horizontal[r][min(c, pc)]++;
            } else {
                ng_cnt_vertical[min(r, pr)][c]++;
            }
        }
    }
}

// entry point
int main() {
    solve();
    return 0;
}
0