Submission #443478

# Submission time Handle Problem Language Result Execution time Memory
443478 2021-07-10T15:03:53 Z mjhmjh1104 Fountain Parks (IOI21_parks) C++17
5 / 100
882 ms 40888 KB
#include "parks.h"
#include <map>
#include <set>
#include <cstdio>
#include <vector>
#include <utility>
#include <algorithm>
using namespace std;

int uf[200006];

int _find(int x) {
    if (uf[x] == -1) return x;
    return uf[x] = _find(uf[x]);
}

void _merge(int x, int y) {
    x = _find(x), y = _find(y);
    if (x != y) uf[x] = y;
}

map<pair<int, int>, int> m;
set<pair<int, int>> s;

int construct_roads(vector<int> x, vector<int> y) {
    if ((int)x.size() == 1) return build({}, {}, {}, {}), 1;
    int n = (int)x.size();
    for (int i = 0; i < n; i++) uf[i] = -1;
    vector<int> u, v, a, b;
    vector<pair<int, int>> edges, n_edges;
    vector<int> points;
    for (int i = 0; i < n; i++) m[{ x[i], y[i] }] = i;
    for (int i = 0; i < n; i++) if (m.count({ x[i], y[i] - 2 })) {
        edges.push_back({ m[{ x[i], y[i] - 2 }], i });
        _merge(edges.back().first, edges.back().second);
    }
    for (int i = 0; i < n; i++) if (!m.count({ x[i], y[i] - 2 }) || !m.count({ x[i], y[i] + 2 })) points.push_back(i);
    sort(points.begin(), points.end(), [&](const int &a, const int &b) {
        if (y[a] != y[b]) return y[a] < y[b];
        return x[a] < x[b];
    });
    for (int t = 0; t < (int)points.size(); t++) {
        int i = points[t];
        if (m.count({ x[i] - 2, y[i] })) {
            int t = m[{ x[i] - 2, y[i] }];
            if (_find(t) != _find(i)) {
                edges.push_back({ t, i });
                _merge(t, i);
            }
        }
    }
    for (int t = 0; t < (int)points.size(); t++) {
        int i = points[t];
        if (m.count({ x[i] + 2, y[i] })) {
            int t = m[{ x[i] + 2, y[i] }];
            if (_find(t) != _find(i)) {
                edges.push_back({ t, i });
                _merge(t, i);
            }
        }
    }
    for (int i = 1; i < n; i++) if (_find(0) != _find(i)) return 0;
    //int min_x = *min_element(x.begin(), x.end()), max_x = *max_element(x.begin(), x.end());
    for (auto &i: edges) {
        /*if (x[i.first] == x[i.second]) {
            u.push_back(i.first);
            v.push_back(i.second);
            a.push_back(x[i.first] - 1);
            b.push_back((y[i.first] + y[i.second]) / 2);
            s.insert({ a.back(), b.back() });
        } else*/ n_edges.push_back(i);
    }
    sort(n_edges.begin(), n_edges.end(), [&](const pair<int, int> &a, const pair<int, int> &b) {
        if ((x[a.first] == x[a.second]) != (x[b.first] == x[b.second])) return x[a.first] == x[a.second];
        if (x[a.first] + x[a.second] != x[b.first] + x[b.second]) return x[a.first] + x[a.second] < x[b.first] + x[b.second];
        return y[a.first] + y[a.second] < y[b.first] + y[b.second];
    });
    for (auto &i: n_edges) {
        if (x[i.first] == x[i.second]) {
            if (!s.count({ x[i.first] - 1, (y[i.first] + y[i.second]) / 2 })) {
                s.insert({ x[i.first] - 1, (y[i.first] + y[i.second]) / 2 });
                u.push_back(i.first);
                v.push_back(i.second);
                a.push_back(x[i.first] - 1);
                b.push_back((y[i.first] + y[i.second]) / 2);
            } else {
                if (s.count({ x[i.first] + 1, (y[i.first] + y[i.second]) / 2 })) return 0;
                s.insert({ x[i.first] + 1, (y[i.first] + y[i.second]) / 2 });
                u.push_back(i.first);
                v.push_back(i.second);
                a.push_back(x[i.first] + 1);
                b.push_back((y[i.first] + y[i.second]) / 2);
            }
        } else {
            if (!s.count({ (x[i.first] + x[i.second]) / 2, y[i.first] - 1 })) {
                s.insert({ (x[i.first] + x[i.second]) / 2, y[i.first] - 1 });
                u.push_back(i.first);
                v.push_back(i.second);
                a.push_back((x[i.first] + x[i.second]) / 2);
                b.push_back(y[i.first] - 1);
            } else {
                if (s.count({ (x[i.first] + x[i.second]) / 2, y[i.first] + 1 })) return 0;
                s.insert({ (x[i.first] + x[i.second]) / 2, y[i.first] + 1 });
                u.push_back(i.first);
                v.push_back(i.second);
                a.push_back((x[i.first] + x[i.second]) / 2);
                b.push_back(y[i.first] + 1);
            }
        }
    }
    build(u, v, a, b);
    return 1;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 263 ms 19540 KB Output is correct
10 Correct 15 ms 2488 KB Output is correct
11 Correct 95 ms 11336 KB Output is correct
12 Correct 22 ms 3624 KB Output is correct
13 Correct 39 ms 4804 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 266 ms 19528 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 263 ms 19540 KB Output is correct
10 Correct 15 ms 2488 KB Output is correct
11 Correct 95 ms 11336 KB Output is correct
12 Correct 22 ms 3624 KB Output is correct
13 Correct 39 ms 4804 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 266 ms 19528 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 712 ms 38860 KB Output is correct
24 Correct 0 ms 204 KB Output is correct
25 Correct 3 ms 460 KB Output is correct
26 Correct 3 ms 460 KB Output is correct
27 Correct 4 ms 592 KB Output is correct
28 Correct 195 ms 15812 KB Output is correct
29 Correct 348 ms 23256 KB Output is correct
30 Correct 502 ms 31412 KB Output is correct
31 Correct 732 ms 38968 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 0 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 0 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 0 ms 204 KB Output is correct
41 Correct 0 ms 204 KB Output is correct
42 Correct 0 ms 204 KB Output is correct
43 Correct 3 ms 460 KB Output is correct
44 Correct 3 ms 588 KB Output is correct
45 Incorrect 228 ms 15324 KB Solution announced impossible, but it is possible.
46 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 263 ms 19540 KB Output is correct
10 Correct 15 ms 2488 KB Output is correct
11 Correct 95 ms 11336 KB Output is correct
12 Correct 22 ms 3624 KB Output is correct
13 Correct 39 ms 4804 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 266 ms 19528 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 712 ms 38860 KB Output is correct
24 Correct 0 ms 204 KB Output is correct
25 Correct 3 ms 460 KB Output is correct
26 Correct 3 ms 460 KB Output is correct
27 Correct 4 ms 592 KB Output is correct
28 Correct 195 ms 15812 KB Output is correct
29 Correct 348 ms 23256 KB Output is correct
30 Correct 502 ms 31412 KB Output is correct
31 Correct 732 ms 38968 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 0 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 0 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 0 ms 204 KB Output is correct
41 Correct 0 ms 204 KB Output is correct
42 Correct 0 ms 204 KB Output is correct
43 Correct 3 ms 460 KB Output is correct
44 Correct 3 ms 588 KB Output is correct
45 Incorrect 228 ms 15324 KB Solution announced impossible, but it is possible.
46 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 263 ms 19540 KB Output is correct
10 Correct 15 ms 2488 KB Output is correct
11 Correct 95 ms 11336 KB Output is correct
12 Correct 22 ms 3624 KB Output is correct
13 Correct 39 ms 4804 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 266 ms 19528 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 809 ms 39684 KB Output is correct
21 Correct 777 ms 40888 KB Output is correct
22 Correct 831 ms 39636 KB Output is correct
23 Correct 620 ms 34444 KB Output is correct
24 Correct 547 ms 17860 KB Output is correct
25 Correct 655 ms 19640 KB Output is correct
26 Correct 496 ms 18896 KB Output is correct
27 Correct 691 ms 38976 KB Output is correct
28 Correct 704 ms 38868 KB Output is correct
29 Correct 882 ms 39792 KB Output is correct
30 Incorrect 831 ms 33288 KB Solution announced impossible, but it is possible.
31 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 263 ms 19540 KB Output is correct
10 Correct 15 ms 2488 KB Output is correct
11 Correct 95 ms 11336 KB Output is correct
12 Correct 22 ms 3624 KB Output is correct
13 Correct 39 ms 4804 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 266 ms 19528 KB Output is correct
17 Correct 744 ms 39904 KB Output is correct
18 Correct 780 ms 39824 KB Output is correct
19 Incorrect 732 ms 27676 KB Solution announced impossible, but it is possible.
20 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 263 ms 19540 KB Output is correct
10 Correct 15 ms 2488 KB Output is correct
11 Correct 95 ms 11336 KB Output is correct
12 Correct 22 ms 3624 KB Output is correct
13 Correct 39 ms 4804 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 266 ms 19528 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 712 ms 38860 KB Output is correct
24 Correct 0 ms 204 KB Output is correct
25 Correct 3 ms 460 KB Output is correct
26 Correct 3 ms 460 KB Output is correct
27 Correct 4 ms 592 KB Output is correct
28 Correct 195 ms 15812 KB Output is correct
29 Correct 348 ms 23256 KB Output is correct
30 Correct 502 ms 31412 KB Output is correct
31 Correct 732 ms 38968 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 0 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 0 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 0 ms 204 KB Output is correct
41 Correct 0 ms 204 KB Output is correct
42 Correct 0 ms 204 KB Output is correct
43 Correct 3 ms 460 KB Output is correct
44 Correct 3 ms 588 KB Output is correct
45 Incorrect 228 ms 15324 KB Solution announced impossible, but it is possible.
46 Halted 0 ms 0 KB -