結果
| 問題 | No.5006 Hidden Maze |
| ユーザー |
 iiljj
|
| 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 |
（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 |
ソースコード
/* #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 ¤t, 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;
}