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답안 #792289

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
792289 2023-07-25T00:03:49 Z skittles1412 Sky Walking (IOI19_walk) C++17
57 / 100
 1944 ms 1048576 KB 
#include "bits/extc++.h"

using namespace std;

template <typename T, typename... U>
void dbgh(const T& t, const U&... u) {
    cerr << t;
    ((cerr << " | " << u), ...);
    cerr << endl;
}

#ifdef DEBUG
#define dbg(...)                                              \
    cerr << "L" << __LINE__ << " [" << #__VA_ARGS__ << "]: "; \
    dbgh(__VA_ARGS__)
#else
#define dbg(...)
#define cerr   \
    if (false) \
    cerr
#endif

using ll = long long;

#define endl "\n"
#define long int64_t
#define sz(x) int(std::size(x))

template <typename T>
using min_pq = priority_queue<T, vector<T>, greater<T>>;

template <typename A, typename B>
ostream& operator<<(ostream& out, const pair<A, B>& p) {
    return out << "(" << p.first << ", " << p.second << ")";
}

template <typename Cb>
struct CmpByKey {
    Cb cb;

    CmpByKey(const Cb& cb) : cb(cb) {}

    template <typename T>
    bool operator()(const T& a, const T& b) const {
        return cb(a) < cb(b);
    }
};

template <typename T>
struct Comp {
    map<T, int> mp;

    int operator()(const T& t) {
        auto [it, inserted] = mp.emplace(t, -1);
        if (inserted) {
            it->second = sz(mp) - 1;
        }
        return it->second;
    }
};

template <typename T, typename Cmp = less<T>>
vector<T> sorted(vector<T> arr, Cmp cmp = Cmp()) {
    sort(begin(arr), end(arr), cmp);
    return arr;
}

template <typename S>
long dijkstra(const vector<tuple<S, S, long>>& edges, S src, S dest) {
    dbg("A");
    int n = 2 * sz(edges) + 10;

    Comp<S> comp;
    vector<pair<int, long>> graph[n];

    for (auto& [u, v, w] : edges) {
        int cu = comp(u), cv = comp(v);
        graph[cu].emplace_back(cv, w);
        graph[cv].emplace_back(cu, w);
    }

    long dist[n];
    memset(dist, 0x3f, sizeof(dist));

    min_pq<pair<long, int>> pq;
    auto push = [&](int u, long d) -> void {
        if (d >= dist[u]) {
            return;
        }
        dist[u] = d;
        pq.emplace(d, u);
    };

    int c_src = comp(src), c_dest = comp(dest);

    push(c_src, 0);

    while (sz(pq)) {
        auto [d, u] = pq.top();
        pq.pop();

        if (u == c_dest) {
            return d;
        }
        if (d != dist[u]) {
            continue;
        }

        for (auto& [v, w] : graph[u]) {
            push(v, d + w);
        }
    }

    return -1;
}

namespace s1 {

long solve(vector<pair<int, int>> arr,
           vector<array<int, 3>> walk,
           int src,
           int dest) {
    map<int, vector<pair<int, int>>> evts;
    for (auto& [x, h] : arr) {
        evts[-h].emplace_back(x, -1);
    }
    for (auto& [ql, qr, h] : walk) {
        evts[-h].emplace_back(ql, qr);
    }

    vector<array<int, 3>> d_walk;
    {
        set<int> pos;
        for (auto& [nh, ev] : evts) {
            int h = -nh;

            for (auto& [x, ty] : ev) {
                if (ty == -1) {
                    dbg(h, x);
                    pos.insert(x);
                }
            }

            for (auto& [ql, qr] : ev) {
                if (qr == -1) {
                    continue;
                }
                dbg(h, ql, qr);

                auto it = pos.lower_bound(ql);
                while (true) {
                    int cl = *it;
                    ++it;
                    int cr = *it;
                    d_walk.push_back({cl, cr, h});

                    dbg("A", *it, qr);
                    assert(*it <= qr);
                    if (*it == qr) {
                        break;
                    }
                }
            }
        }
    }

    for (auto& [ql, qr, h] : d_walk) {
        dbg(ql, qr, h);
    }

    using S = pair<int, int>;

    S s_src {src, 0}, s_dest {dest, 0};
    vector<S> states {s_src, s_dest};
    for (auto& [ql, qr, h] : d_walk) {
        states.emplace_back(ql, h);
        states.emplace_back(qr, h);
    }

    sort(begin(states), end(states));
    states.erase(unique(begin(states), end(states)), states.end());

    map<int, vector<int>> buildings;
    for (auto& [x, y] : states) {
        buildings[x].push_back(y);
    }

    vector<tuple<S, S, long>> edges;

    for (auto& [x, ys] : buildings) {
        sort(begin(ys), end(ys));
        for (int i = 0; i + 1 < sz(ys); i++) {
            edges.emplace_back(S(x, ys[i]), S(x, ys[i + 1]), ys[i + 1] - ys[i]);
        }
    }

    for (auto& [ql, qr, h] : d_walk) {
        edges.emplace_back(S(ql, h), S(qr, h), qr - ql);
    }

    for (auto& [u, v, w] : edges) {
        dbg(u, v, w);
    }

    return dijkstra(edges, s_src, s_dest);
}

}  // namespace s1

namespace s2 {

template <typename Cb>
void add_edges(vector<array<int, 4>> arr, const Cb& cb) {
    for (auto& [_ql, qr, _i, _] : arr) {
        // [] -> [)
        qr++;
    }

    int n = sz(arr);

    map<pair<int, int>, int> mp;

    auto split = [&](int ind) -> void {
        auto it = mp.lower_bound({ind + 1, -1});
        if (it == mp.begin()) {
            return;
        }
        --it;
        auto [cql, cqr] = it->first;

        if (cql < ind && ind < cqr) {
            int cv = it->second;
            mp.erase(it);
            mp[{cql, ind}] = cv;
            mp[{ind, cqr}] = cv;
        }
    };

    for (auto& [ql, qr, qi, _] : arr) {
        split(ql);
        split(qr);

        for (auto it = mp.lower_bound({ql, -1}); it != mp.end();
             it = mp.erase(it)) {
            auto [cql, cqr] = it->first;
            if (qr <= cql) {
                break;
            }

            assert(ql <= cql && cqr <= qr);
            cb(qi, it->second);
        }

        mp[{ql, qr}] = qi;
    }
}

long solve(vector<pair<int, int>> arr,
           vector<array<int, 3>> walk,
           int src,
           int dest) {
    int c_src = sz(walk), c_dest = sz(walk) + 1;
    walk.push_back({src, src, 0});
    walk.push_back({dest, dest, 0});

    vector<tuple<int, int, long>> edges;

    // auto inter = [&](int l1, int r1, int l2, int r2) -> bool {
    //     if (l1 > l2) {
    //         swap(l1, l2);
    //         swap(r1, r2);
    //     }
    //     return l2 <= r1;
    // };
    // for (int i = 0; i < sz(walk); i++) {
    //     for (int j = i + 1; j < sz(walk); j++) {
    //         auto& [l1, r1, h1] = walk[i];
    //         auto& [l2, r2, h2] = walk[j];

    //         if (inter(l1, r1, l2, r2)) {
    //             dbg(i, j);
    //             edges.emplace_back(i, j, abs(h1 - h2));
    //         }
    //     }
    // }

    vector<array<int, 4>> n_walk;
    for (int i = 0; i < sz(walk); i++) {
        auto& [ql, qr, qh] = walk[i];
        n_walk.push_back({ql, qr, i, qh});
    }

    auto cb_edge = [&](int u, int v) -> void {
        dbg(u, v);
        edges.emplace_back(u, v, abs(walk[u][2] - walk[v][2]));
    };

    add_edges(
        sorted(n_walk, CmpByKey([&](const auto& a) -> int { return a[3]; })),
        cb_edge);
    add_edges(
        sorted(n_walk, CmpByKey([&](const auto& a) -> int { return -a[3]; })),
        cb_edge);

    long ans = dijkstra(edges, c_src, c_dest);
    if (ans == -1) {
        return ans;
    } else {
        return ans + dest - src;
    }
}

}  // namespace s2

ll min_distance(vector<int> arr_x,
                vector<int> arr_h,
                vector<int> walk_l,
                vector<int> walk_r,
                vector<int> walk_y,
                int src,
                int dest) {
    int n = sz(arr_x), m = sz(walk_l);

    vector<pair<int, int>> arr(n);
    for (int i = 0; i < n; i++) {
        arr[i] = {arr_x[i], arr_h[i]};
    }

    vector<array<int, 3>> walk(m);
    for (int i = 0; i < m; i++) {
        walk[i] = {arr_x[walk_l[i]], arr_x[walk_r[i]], walk_y[i]};
    }

    src = arr_x[src];
    dest = arr_x[dest];

    if (src == arr_x[0] && dest == arr_x[n - 1]) {
        return s2::solve(arr, walk, src, dest);
    } else {
        return s1::solve(arr, walk, src, dest);
    }
}

Compilation message

walk.cpp: In function 'int64_t s1::solve(std::vector<std::pair<int, int> >, std::vector<std::array<int, 3> >, int, int)':
walk.cpp:167:16: warning: unused structured binding declaration [-Wunused-variable]
  167 |     for (auto& [ql, qr, h] : d_walk) {
      |                ^~~~~~~~~~~
walk.cpp:201:16: warning: unused structured binding declaration [-Wunused-variable]
  201 |     for (auto& [u, v, w] : edges) {
      |                ^~~~~~~~~
walk.cpp: In instantiation of 'void s2::add_edges(std::vector<std::array<int, 4> >, const Cb&) [with Cb = s2::solve(std::vector<std::pair<int, int> >, std::vector<std::array<int, 3> >, int, int)::<lambda(int, int)>]':
walk.cpp:300:16:   required from here
walk.cpp:219:9: warning: unused variable 'n' [-Wunused-variable]
  219 |     int n = sz(arr);
      |         ^

Subtask #1
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 304 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 428 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 596 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct

Subtask #2
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1115 ms 282816 KB Output is correct
4 Correct 1241 ms 290276 KB Output is correct
5 Correct 855 ms 249412 KB Output is correct
6 Correct 777 ms 216420 KB Output is correct
7 Correct 851 ms 249588 KB Output is correct
8 Correct 1466 ms 361404 KB Output is correct
9 Correct 1002 ms 248660 KB Output is correct
10 Correct 1944 ms 409772 KB Output is correct
11 Correct 626 ms 145776 KB Output is correct
12 Correct 379 ms 44936 KB Output is correct
13 Correct 645 ms 87308 KB Output is correct
14 Correct 304 ms 79844 KB Output is correct
15 Correct 291 ms 70908 KB Output is correct
16 Correct 285 ms 72980 KB Output is correct
17 Correct 287 ms 70312 KB Output is correct
18 Correct 158 ms 45048 KB Output is correct
19 Correct 9 ms 4024 KB Output is correct
20 Correct 106 ms 37368 KB Output is correct
21 Correct 442 ms 54700 KB Output is correct
22 Correct 378 ms 57896 KB Output is correct
23 Correct 231 ms 59144 KB Output is correct
24 Correct 369 ms 56456 KB Output is correct
25 Correct 352 ms 52920 KB Output is correct

Subtask #3
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 197 ms 36632 KB Output is correct
2 Correct 380 ms 86876 KB Output is correct
3 Correct 389 ms 88404 KB Output is correct
4 Correct 394 ms 90836 KB Output is correct
5 Correct 367 ms 92552 KB Output is correct
6 Correct 328 ms 83912 KB Output is correct
7 Correct 202 ms 45904 KB Output is correct
8 Correct 377 ms 41012 KB Output is correct
9 Correct 297 ms 79532 KB Output is correct
10 Correct 260 ms 48408 KB Output is correct
11 Correct 8 ms 1848 KB Output is correct

Subtask #4
18.0 / 18.0

# 결과 실행 시간 메모리 Grader output
1 Correct 197 ms 36632 KB Output is correct
2 Correct 380 ms 86876 KB Output is correct
3 Correct 389 ms 88404 KB Output is correct
4 Correct 394 ms 90836 KB Output is correct
5 Correct 367 ms 92552 KB Output is correct
6 Correct 328 ms 83912 KB Output is correct
7 Correct 202 ms 45904 KB Output is correct
8 Correct 377 ms 41012 KB Output is correct
9 Correct 297 ms 79532 KB Output is correct
10 Correct 260 ms 48408 KB Output is correct
11 Correct 8 ms 1848 KB Output is correct
12 Correct 373 ms 88340 KB Output is correct
13 Correct 400 ms 90992 KB Output is correct
14 Correct 362 ms 92564 KB Output is correct
15 Correct 312 ms 58212 KB Output is correct
16 Correct 388 ms 74480 KB Output is correct
17 Correct 458 ms 88656 KB Output is correct
18 Correct 328 ms 58264 KB Output is correct
19 Correct 387 ms 74544 KB Output is correct
20 Correct 191 ms 46576 KB Output is correct
21 Correct 19 ms 4028 KB Output is correct
22 Correct 394 ms 71000 KB Output is correct
23 Correct 404 ms 68636 KB Output is correct
24 Correct 361 ms 53212 KB Output is correct
25 Correct 399 ms 63232 KB Output is correct
26 Correct 292 ms 44960 KB Output is correct
27 Correct 360 ms 92192 KB Output is correct
28 Correct 524 ms 91912 KB Output is correct
29 Correct 322 ms 83600 KB Output is correct
30 Correct 200 ms 45812 KB Output is correct
31 Correct 309 ms 79464 KB Output is correct
32 Correct 329 ms 50472 KB Output is correct
33 Correct 363 ms 51000 KB Output is correct
34 Correct 240 ms 51728 KB Output is correct
35 Correct 355 ms 59476 KB Output is correct
36 Correct 421 ms 50448 KB Output is correct
37 Correct 461 ms 51956 KB Output is correct
38 Correct 423 ms 54740 KB Output is correct
39 Correct 251 ms 56240 KB Output is correct
40 Correct 384 ms 53412 KB Output is correct
41 Correct 403 ms 50200 KB Output is correct

Subtask #5
0 / 43.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 304 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 428 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 596 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1115 ms 282816 KB Output is correct
21 Correct 1241 ms 290276 KB Output is correct
22 Correct 855 ms 249412 KB Output is correct
23 Correct 777 ms 216420 KB Output is correct
24 Correct 851 ms 249588 KB Output is correct
25 Correct 1466 ms 361404 KB Output is correct
26 Correct 1002 ms 248660 KB Output is correct
27 Correct 1944 ms 409772 KB Output is correct
28 Correct 626 ms 145776 KB Output is correct
29 Correct 379 ms 44936 KB Output is correct
30 Correct 645 ms 87308 KB Output is correct
31 Correct 304 ms 79844 KB Output is correct
32 Correct 291 ms 70908 KB Output is correct
33 Correct 285 ms 72980 KB Output is correct
34 Correct 287 ms 70312 KB Output is correct
35 Correct 158 ms 45048 KB Output is correct
36 Correct 9 ms 4024 KB Output is correct
37 Correct 106 ms 37368 KB Output is correct
38 Correct 442 ms 54700 KB Output is correct
39 Correct 378 ms 57896 KB Output is correct
40 Correct 231 ms 59144 KB Output is correct
41 Correct 369 ms 56456 KB Output is correct
42 Correct 352 ms 52920 KB Output is correct
43 Correct 197 ms 36632 KB Output is correct
44 Correct 380 ms 86876 KB Output is correct
45 Correct 389 ms 88404 KB Output is correct
46 Correct 394 ms 90836 KB Output is correct
47 Correct 367 ms 92552 KB Output is correct
48 Correct 328 ms 83912 KB Output is correct
49 Correct 202 ms 45904 KB Output is correct
50 Correct 377 ms 41012 KB Output is correct
51 Correct 297 ms 79532 KB Output is correct
52 Correct 260 ms 48408 KB Output is correct
53 Correct 8 ms 1848 KB Output is correct
54 Correct 373 ms 88340 KB Output is correct
55 Correct 400 ms 90992 KB Output is correct
56 Correct 362 ms 92564 KB Output is correct
57 Correct 312 ms 58212 KB Output is correct
58 Correct 388 ms 74480 KB Output is correct
59 Correct 458 ms 88656 KB Output is correct
60 Correct 328 ms 58264 KB Output is correct
61 Correct 387 ms 74544 KB Output is correct
62 Correct 191 ms 46576 KB Output is correct
63 Correct 19 ms 4028 KB Output is correct
64 Correct 394 ms 71000 KB Output is correct
65 Correct 404 ms 68636 KB Output is correct
66 Correct 361 ms 53212 KB Output is correct
67 Correct 399 ms 63232 KB Output is correct
68 Correct 292 ms 44960 KB Output is correct
69 Correct 360 ms 92192 KB Output is correct
70 Correct 524 ms 91912 KB Output is correct
71 Correct 322 ms 83600 KB Output is correct
72 Correct 200 ms 45812 KB Output is correct
73 Correct 309 ms 79464 KB Output is correct
74 Correct 329 ms 50472 KB Output is correct
75 Correct 363 ms 51000 KB Output is correct
76 Correct 240 ms 51728 KB Output is correct
77 Correct 355 ms 59476 KB Output is correct
78 Correct 421 ms 50448 KB Output is correct
79 Correct 461 ms 51956 KB Output is correct
80 Correct 423 ms 54740 KB Output is correct
81 Correct 251 ms 56240 KB Output is correct
82 Correct 384 ms 53412 KB Output is correct
83 Correct 403 ms 50200 KB Output is correct
84 Correct 86 ms 24372 KB Output is correct
85 Runtime error 1524 ms 1048576 KB Execution killed with signal 9
86 Halted 0 ms 0 KB -