Submission #443470

# Submission time Handle Problem Language Result Execution time Memory
443470 2021-07-10T14:52:12 Z mjhmjh1104 Fountain Parks (IOI21_parks) C++17
30 / 100
781 ms 40956 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);
            }
        }
        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] < 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 316 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 1 ms 204 KB Output is correct
9 Correct 255 ms 19488 KB Output is correct
10 Correct 14 ms 2508 KB Output is correct
11 Correct 87 ms 11492 KB Output is correct
12 Correct 22 ms 3628 KB Output is correct
13 Correct 38 ms 4752 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 256 ms 19496 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 316 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 1 ms 204 KB Output is correct
9 Correct 255 ms 19488 KB Output is correct
10 Correct 14 ms 2508 KB Output is correct
11 Correct 87 ms 11492 KB Output is correct
12 Correct 22 ms 3628 KB Output is correct
13 Correct 38 ms 4752 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 256 ms 19496 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 677 ms 38896 KB Output is correct
24 Correct 0 ms 204 KB Output is correct
25 Correct 2 ms 460 KB Output is correct
26 Correct 3 ms 460 KB Output is correct
27 Correct 4 ms 588 KB Output is correct
28 Correct 184 ms 15852 KB Output is correct
29 Correct 326 ms 23364 KB Output is correct
30 Correct 531 ms 31552 KB Output is correct
31 Correct 699 ms 38828 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 0 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 1 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 2 ms 460 KB Output is correct
44 Correct 3 ms 588 KB Output is correct
45 Correct 260 ms 19768 KB Output is correct
46 Correct 452 ms 29328 KB Output is correct
47 Correct 469 ms 29240 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 316 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 1 ms 204 KB Output is correct
9 Correct 255 ms 19488 KB Output is correct
10 Correct 14 ms 2508 KB Output is correct
11 Correct 87 ms 11492 KB Output is correct
12 Correct 22 ms 3628 KB Output is correct
13 Correct 38 ms 4752 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 256 ms 19496 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 677 ms 38896 KB Output is correct
24 Correct 0 ms 204 KB Output is correct
25 Correct 2 ms 460 KB Output is correct
26 Correct 3 ms 460 KB Output is correct
27 Correct 4 ms 588 KB Output is correct
28 Correct 184 ms 15852 KB Output is correct
29 Correct 326 ms 23364 KB Output is correct
30 Correct 531 ms 31552 KB Output is correct
31 Correct 699 ms 38828 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 0 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 1 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 2 ms 460 KB Output is correct
44 Correct 3 ms 588 KB Output is correct
45 Correct 260 ms 19768 KB Output is correct
46 Correct 452 ms 29328 KB Output is correct
47 Correct 469 ms 29240 KB Output is correct
48 Correct 0 ms 204 KB Output is correct
49 Correct 0 ms 204 KB Output is correct
50 Correct 0 ms 204 KB Output is correct
51 Correct 1 ms 204 KB Output is correct
52 Correct 0 ms 204 KB Output is correct
53 Correct 0 ms 204 KB Output is correct
54 Correct 0 ms 204 KB Output is correct
55 Correct 682 ms 38892 KB Output is correct
56 Correct 0 ms 204 KB Output is correct
57 Correct 3 ms 588 KB Output is correct
58 Correct 10 ms 1524 KB Output is correct
59 Correct 11 ms 1228 KB Output is correct
60 Correct 279 ms 19556 KB Output is correct
61 Correct 425 ms 27428 KB Output is correct
62 Correct 515 ms 32288 KB Output is correct
63 Correct 650 ms 38844 KB Output is correct
64 Correct 0 ms 204 KB Output is correct
65 Correct 0 ms 204 KB Output is correct
66 Correct 0 ms 204 KB Output is correct
67 Correct 673 ms 38828 KB Output is correct
68 Correct 686 ms 39072 KB Output is correct
69 Correct 664 ms 38640 KB Output is correct
70 Correct 4 ms 588 KB Output is correct
71 Correct 9 ms 972 KB Output is correct
72 Correct 268 ms 19896 KB Output is correct
73 Correct 480 ms 30136 KB Output is correct
74 Correct 723 ms 39480 KB Output is correct
75 Correct 681 ms 39084 KB Output is correct
76 Correct 654 ms 38892 KB Output is correct
77 Correct 5 ms 716 KB Output is correct
78 Correct 10 ms 1228 KB Output is correct
79 Correct 275 ms 19760 KB Output is correct
80 Correct 525 ms 29892 KB Output is correct
81 Correct 707 ms 39468 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 316 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 1 ms 204 KB Output is correct
9 Correct 255 ms 19488 KB Output is correct
10 Correct 14 ms 2508 KB Output is correct
11 Correct 87 ms 11492 KB Output is correct
12 Correct 22 ms 3628 KB Output is correct
13 Correct 38 ms 4752 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 256 ms 19496 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 714 ms 40956 KB Output is correct
21 Correct 712 ms 39632 KB Output is correct
22 Correct 709 ms 39976 KB Output is correct
23 Correct 646 ms 33764 KB Output is correct
24 Correct 524 ms 17860 KB Output is correct
25 Correct 567 ms 19668 KB Output is correct
26 Correct 546 ms 18940 KB Output is correct
27 Correct 703 ms 38912 KB Output is correct
28 Correct 684 ms 38800 KB Output is correct
29 Correct 770 ms 39660 KB Output is correct
30 Correct 781 ms 39716 KB Output is correct
31 Correct 0 ms 204 KB Output is correct
32 Incorrect 23 ms 1732 KB Solution announced impossible, but it is possible.
33 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 316 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 1 ms 204 KB Output is correct
9 Correct 255 ms 19488 KB Output is correct
10 Correct 14 ms 2508 KB Output is correct
11 Correct 87 ms 11492 KB Output is correct
12 Correct 22 ms 3628 KB Output is correct
13 Correct 38 ms 4752 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 256 ms 19496 KB Output is correct
17 Correct 681 ms 39264 KB Output is correct
18 Correct 684 ms 39376 KB Output is correct
19 Incorrect 668 ms 33836 KB Solution announced impossible, but it is possible.
20 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 316 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 1 ms 204 KB Output is correct
9 Correct 255 ms 19488 KB Output is correct
10 Correct 14 ms 2508 KB Output is correct
11 Correct 87 ms 11492 KB Output is correct
12 Correct 22 ms 3628 KB Output is correct
13 Correct 38 ms 4752 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 460 KB Output is correct
16 Correct 256 ms 19496 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 677 ms 38896 KB Output is correct
24 Correct 0 ms 204 KB Output is correct
25 Correct 2 ms 460 KB Output is correct
26 Correct 3 ms 460 KB Output is correct
27 Correct 4 ms 588 KB Output is correct
28 Correct 184 ms 15852 KB Output is correct
29 Correct 326 ms 23364 KB Output is correct
30 Correct 531 ms 31552 KB Output is correct
31 Correct 699 ms 38828 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 0 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 1 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 2 ms 460 KB Output is correct
44 Correct 3 ms 588 KB Output is correct
45 Correct 260 ms 19768 KB Output is correct
46 Correct 452 ms 29328 KB Output is correct
47 Correct 469 ms 29240 KB Output is correct
48 Correct 0 ms 204 KB Output is correct
49 Correct 0 ms 204 KB Output is correct
50 Correct 0 ms 204 KB Output is correct
51 Correct 1 ms 204 KB Output is correct
52 Correct 0 ms 204 KB Output is correct
53 Correct 0 ms 204 KB Output is correct
54 Correct 0 ms 204 KB Output is correct
55 Correct 682 ms 38892 KB Output is correct
56 Correct 0 ms 204 KB Output is correct
57 Correct 3 ms 588 KB Output is correct
58 Correct 10 ms 1524 KB Output is correct
59 Correct 11 ms 1228 KB Output is correct
60 Correct 279 ms 19556 KB Output is correct
61 Correct 425 ms 27428 KB Output is correct
62 Correct 515 ms 32288 KB Output is correct
63 Correct 650 ms 38844 KB Output is correct
64 Correct 0 ms 204 KB Output is correct
65 Correct 0 ms 204 KB Output is correct
66 Correct 0 ms 204 KB Output is correct
67 Correct 673 ms 38828 KB Output is correct
68 Correct 686 ms 39072 KB Output is correct
69 Correct 664 ms 38640 KB Output is correct
70 Correct 4 ms 588 KB Output is correct
71 Correct 9 ms 972 KB Output is correct
72 Correct 268 ms 19896 KB Output is correct
73 Correct 480 ms 30136 KB Output is correct
74 Correct 723 ms 39480 KB Output is correct
75 Correct 681 ms 39084 KB Output is correct
76 Correct 654 ms 38892 KB Output is correct
77 Correct 5 ms 716 KB Output is correct
78 Correct 10 ms 1228 KB Output is correct
79 Correct 275 ms 19760 KB Output is correct
80 Correct 525 ms 29892 KB Output is correct
81 Correct 707 ms 39468 KB Output is correct
82 Correct 0 ms 204 KB Output is correct
83 Correct 0 ms 204 KB Output is correct
84 Correct 0 ms 204 KB Output is correct
85 Correct 714 ms 40956 KB Output is correct
86 Correct 712 ms 39632 KB Output is correct
87 Correct 709 ms 39976 KB Output is correct
88 Correct 646 ms 33764 KB Output is correct
89 Correct 524 ms 17860 KB Output is correct
90 Correct 567 ms 19668 KB Output is correct
91 Correct 546 ms 18940 KB Output is correct
92 Correct 703 ms 38912 KB Output is correct
93 Correct 684 ms 38800 KB Output is correct
94 Correct 770 ms 39660 KB Output is correct
95 Correct 781 ms 39716 KB Output is correct
96 Correct 0 ms 204 KB Output is correct
97 Incorrect 23 ms 1732 KB Solution announced impossible, but it is possible.
98 Halted 0 ms 0 KB -