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답안 #1072038

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1072038 2024-08-23T13:35:32 Z shmax 분수 공원 (IOI21_parks) C++17
55 / 100
 2003 ms 83236 KB 
#include "parks.h"
#include <bits/stdc++.h>


#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization("unroll-loops")

using namespace std;

using i32 = int;
//#define int long long
#define len(x) (int)(x.size())
template<typename T>
using vec = vector<T>;

struct DSU {
public:
    DSU() : _n(0) {}

    explicit DSU(int n) : _n(n), parent_or_size(n, -1) {}

    int unite(int a, int b) {
        assert(0 <= a && a < _n);
        assert(0 <= b && b < _n);
        int x = leader(a), y = leader(b);
        if (x == y) return x;
        if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y);
        parent_or_size[x] += parent_or_size[y];
        parent_or_size[y] = x;
        return x;
    }

    bool one(int a, int b) {
        assert(0 <= a && a < _n);
        assert(0 <= b && b < _n);
        return leader(a) == leader(b);
    }

    int leader(int a) {
        assert(0 <= a && a < _n);
        if (parent_or_size[a] < 0) return a;
        return parent_or_size[a] = leader(parent_or_size[a]);
    }

    int size(int a) {
        assert(0 <= a && a < _n);
        return -parent_or_size[leader(a)];
    }

    std::vector<std::vector<int>> groups() {
        std::vector<int> leader_buf(_n), group_size(_n);
        for (int i = 0; i < _n; i++) {
            leader_buf[i] = leader(i);
            group_size[leader_buf[i]]++;
        }
        std::vector<std::vector<int>> result(_n);
        for (int i = 0; i < _n; i++) {
            result[i].reserve(group_size[i]);
        }
        for (int i = 0; i < _n; i++) {
            result[leader_buf[i]].push_back(i);
        }
        result.erase(
                std::remove_if(result.begin(), result.end(),
                               [&](const std::vector<int> &v) { return v.empty(); }),
                result.end());
        return result;
    }

private:
    int _n;
    // root node: -1 * component size
    // otherwise: parent
    std::vector<int> parent_or_size;
};


i32 construct_roads(std::vector<i32> _x, std::vector<i32> _y) {
    int n = len(_x);
    map<pair<int, int>, int> mp;
    for (int i = 0; i < n; i++) {
        mp[{_x[i], _y[i]}] = i;
    }
    mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
    vec<pair<int, int>> edges;
    for (int i = 0; i < n; i++) {
        vec<pair<int, int>> moves = {{-2, 0},
                                     {2,  0},
                                     {0,  -2},
                                     {0,  2}};
        for (auto [dx, dy]: moves) {
            int nx = _x[i] + dx;
            int ny = _y[i] + dy;
            if (!mp.count({nx, ny})) continue;
            edges.push_back({i, mp[{nx, ny}]});
        }
    }
    for (int times = 0; times < 5; times++) {
        DSU dsu(n);

        shuffle(edges.begin(), edges.end(), rnd);

        vec<pair<int, int>> used_edges;
        for (auto [a, b]: edges) {
            if (dsu.one(a, b)) continue;
            dsu.unite(a, b);
            used_edges.emplace_back(a, b);
        }
        if (dsu.size(0) != n) return 0;
        shuffle(used_edges.begin(), used_edges.end(), rnd);
        map<pair<int, int>, int> benches;
        vec<pair<int, int>> benches_pos;
        int idx = 0;
        for (auto [a, b]: used_edges) {
            auto [x1, y1] = pair<int, int>{_x[a], _y[a]};
            auto [x2, y2] = pair<int, int>{_x[b], _y[b]};
            if (x1 == x2) {
                if (!benches.count({x1 - 1, (y1 + y2) / 2}))
                    benches[{x1 - 1, (y1 + y2) / 2}] = idx++, benches_pos.emplace_back(x1 - 1, (y1 + y2) / 2);
                if (!benches.count({x1 + 1, (y1 + y2) / 2}))
                    benches[{x1 + 1, (y1 + y2) / 2}] = idx++, benches_pos.emplace_back(x1 + 1, (y1 + y2) / 2);
            } else {
                if (!benches.count({(x1 + x2) / 2, y1 - 1}))
                    benches[{(x1 + x2) / 2, y1 - 1}] = idx++, benches_pos.emplace_back((x1 + x2) / 2, y1 - 1);
                if (!benches.count({(x1 + x2) / 2, y1 + 1}))
                    benches[{(x1 + x2) / 2, y1 + 1}] = idx++, benches_pos.emplace_back((x1 + x2) / 2, y1 + 1);
            }
        }
        vec<vec<int>> g(n - 1 + len(benches));
        int idt = 0;
        for (auto [a, b]: used_edges) {
            auto [x1, y1] = pair<int, int>{_x[a], _y[a]};
            auto [x2, y2] = pair<int, int>{_x[b], _y[b]};
            if (x1 == x2) {
                g[idt].push_back(n - 1 + benches[{x1 - 1, (y1 + y2) / 2}]);
                g[idt].push_back(n - 1 + benches[{x1 + 1, (y1 + y2) / 2}]);
            } else {
                g[idt].push_back(n - 1 + benches[{(x1 + x2) / 2, y1 - 1}]);
                g[idt].push_back(n - 1 + benches[{(x1 + x2) / 2, y1 + 1}]);
            }
            idt++;
        }

//        matching
//        shuffle
        for (int i = 0; i < n - 1; i++) {
            shuffle(g[i].begin(), g[i].end(), rnd);
        }

        vec<int> match(n - 1 + len(benches), -1);
        vec<bool> used(n - 1 + len(benches), false);
        function<bool(int)> dfs = [&](int v) -> bool {
            if (used[v]) return false;
            used[v] = true;
            for (auto u: g[v]) {
                if (match[u] == -1 || dfs(match[u])) {
                    match[u] = v;
                    match[v] = u;
                    return true;
                }
            }
            return false;
        };

        bool flag = true;
        do {
            flag = false;
            fill(used.begin(), used.end(), false);
            for (int i = 0; i < n - 1; i++) {
                if (match[i] == -1) {
                    if (dfs(i)) {
                        flag = true;
                    }
                }
            }
        } while (flag);

        int cnt = 0;
        for (int i = 0; i < n - 1; i++) {
            if (match[i] != -1) cnt++;
        }

        if (cnt == n - 1) {
            vec<i32> x_benches, y_benches;
            vec<i32> u, v;
            for (int i = 0; i < n - 1; i++) {
                x_benches.push_back(benches_pos[match[i] - n + 1].first);
                y_benches.push_back(benches_pos[match[i] - n + 1].second);
                u.push_back(used_edges[i].first);
                v.push_back(used_edges[i].second);
            }
            build(u, v, x_benches, y_benches);
            return 1;
        }


    }

    return 0;
}

Compilation message

parks.cpp:7: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
    7 | #pragma GCC optimization("unroll-loops")
      |

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 307 ms 41400 KB Output is correct
10 Correct 19 ms 4440 KB Output is correct
11 Correct 120 ms 22480 KB Output is correct
12 Correct 27 ms 6488 KB Output is correct
13 Correct 37 ms 5580 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 3 ms 604 KB Output is correct
16 Correct 288 ms 41412 KB Output is correct

Subtask #2
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 307 ms 41400 KB Output is correct
10 Correct 19 ms 4440 KB Output is correct
11 Correct 120 ms 22480 KB Output is correct
12 Correct 27 ms 6488 KB Output is correct
13 Correct 37 ms 5580 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 3 ms 604 KB Output is correct
16 Correct 288 ms 41412 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 721 ms 69284 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 2 ms 856 KB Output is correct
26 Correct 3 ms 860 KB Output is correct
27 Correct 4 ms 860 KB Output is correct
28 Correct 253 ms 27804 KB Output is correct
29 Correct 377 ms 41056 KB Output is correct
30 Correct 543 ms 55236 KB Output is correct
31 Correct 740 ms 69820 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 344 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 2 ms 604 KB Output is correct
44 Correct 3 ms 604 KB Output is correct
45 Correct 289 ms 35396 KB Output is correct
46 Correct 461 ms 53444 KB Output is correct
47 Correct 471 ms 51976 KB Output is correct

Subtask #3
0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 307 ms 41400 KB Output is correct
10 Correct 19 ms 4440 KB Output is correct
11 Correct 120 ms 22480 KB Output is correct
12 Correct 27 ms 6488 KB Output is correct
13 Correct 37 ms 5580 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 3 ms 604 KB Output is correct
16 Correct 288 ms 41412 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 721 ms 69284 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 2 ms 856 KB Output is correct
26 Correct 3 ms 860 KB Output is correct
27 Correct 4 ms 860 KB Output is correct
28 Correct 253 ms 27804 KB Output is correct
29 Correct 377 ms 41056 KB Output is correct
30 Correct 543 ms 55236 KB Output is correct
31 Correct 740 ms 69820 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 344 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 2 ms 604 KB Output is correct
44 Correct 3 ms 604 KB Output is correct
45 Correct 289 ms 35396 KB Output is correct
46 Correct 461 ms 53444 KB Output is correct
47 Correct 471 ms 51976 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 1 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 1 ms 344 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Incorrect 2003 ms 59032 KB Solution announced impossible, but it is possible.
56 Halted 0 ms 0 KB -

Subtask #4
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 307 ms 41400 KB Output is correct
10 Correct 19 ms 4440 KB Output is correct
11 Correct 120 ms 22480 KB Output is correct
12 Correct 27 ms 6488 KB Output is correct
13 Correct 37 ms 5580 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 3 ms 604 KB Output is correct
16 Correct 288 ms 41412 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 687 ms 69520 KB Output is correct
21 Correct 706 ms 66244 KB Output is correct
22 Correct 699 ms 65220 KB Output is correct
23 Correct 569 ms 72376 KB Output is correct
24 Correct 253 ms 16856 KB Output is correct
25 Correct 396 ms 23488 KB Output is correct
26 Correct 315 ms 23524 KB Output is correct
27 Correct 750 ms 82584 KB Output is correct
28 Correct 727 ms 83236 KB Output is correct
29 Correct 766 ms 82472 KB Output is correct
30 Correct 752 ms 82544 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 32 ms 5044 KB Output is correct
33 Correct 94 ms 8552 KB Output is correct
34 Correct 691 ms 76212 KB Output is correct
35 Correct 11 ms 1500 KB Output is correct
36 Correct 67 ms 6212 KB Output is correct
37 Correct 156 ms 11972 KB Output is correct
38 Correct 260 ms 27080 KB Output is correct
39 Correct 348 ms 36740 KB Output is correct
40 Correct 471 ms 48824 KB Output is correct
41 Correct 598 ms 58244 KB Output is correct
42 Correct 749 ms 67524 KB Output is correct
43 Correct 0 ms 344 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 1 ms 344 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 344 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 1 ms 348 KB Output is correct
54 Correct 2 ms 612 KB Output is correct
55 Correct 3 ms 604 KB Output is correct
56 Correct 301 ms 35456 KB Output is correct
57 Correct 513 ms 52420 KB Output is correct
58 Correct 474 ms 53964 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 0 ms 348 KB Output is correct
62 Correct 665 ms 82536 KB Output is correct
63 Correct 677 ms 82628 KB Output is correct
64 Correct 691 ms 82776 KB Output is correct
65 Correct 4 ms 856 KB Output is correct
66 Correct 8 ms 1204 KB Output is correct
67 Correct 324 ms 34988 KB Output is correct
68 Correct 492 ms 54200 KB Output is correct
69 Correct 720 ms 72096 KB Output is correct

Subtask #5
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 307 ms 41400 KB Output is correct
10 Correct 19 ms 4440 KB Output is correct
11 Correct 120 ms 22480 KB Output is correct
12 Correct 27 ms 6488 KB Output is correct
13 Correct 37 ms 5580 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 3 ms 604 KB Output is correct
16 Correct 288 ms 41412 KB Output is correct
17 Correct 680 ms 82564 KB Output is correct
18 Correct 644 ms 82624 KB Output is correct
19 Correct 656 ms 69828 KB Output is correct
20 Correct 716 ms 67780 KB Output is correct
21 Correct 641 ms 68024 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 79 ms 10948 KB Output is correct
24 Correct 25 ms 2764 KB Output is correct
25 Correct 103 ms 8896 KB Output is correct
26 Correct 200 ms 15480 KB Output is correct
27 Correct 328 ms 34500 KB Output is correct
28 Correct 415 ms 43960 KB Output is correct
29 Correct 510 ms 53176 KB Output is correct
30 Correct 660 ms 60356 KB Output is correct
31 Correct 749 ms 68548 KB Output is correct
32 Correct 734 ms 72640 KB Output is correct
33 Correct 652 ms 82624 KB Output is correct
34 Correct 5 ms 856 KB Output is correct
35 Correct 9 ms 1496 KB Output is correct
36 Correct 294 ms 35268 KB Output is correct
37 Correct 505 ms 55228 KB Output is correct
38 Correct 753 ms 70732 KB Output is correct

Subtask #6
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 307 ms 41400 KB Output is correct
10 Correct 19 ms 4440 KB Output is correct
11 Correct 120 ms 22480 KB Output is correct
12 Correct 27 ms 6488 KB Output is correct
13 Correct 37 ms 5580 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 3 ms 604 KB Output is correct
16 Correct 288 ms 41412 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 721 ms 69284 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 2 ms 856 KB Output is correct
26 Correct 3 ms 860 KB Output is correct
27 Correct 4 ms 860 KB Output is correct
28 Correct 253 ms 27804 KB Output is correct
29 Correct 377 ms 41056 KB Output is correct
30 Correct 543 ms 55236 KB Output is correct
31 Correct 740 ms 69820 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 0 ms 344 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 2 ms 604 KB Output is correct
44 Correct 3 ms 604 KB Output is correct
45 Correct 289 ms 35396 KB Output is correct
46 Correct 461 ms 53444 KB Output is correct
47 Correct 471 ms 51976 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 1 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 1 ms 344 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Incorrect 2003 ms 59032 KB Solution announced impossible, but it is possible.
56 Halted 0 ms 0 KB -