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Submission #968554

# Submission time Handle Problem Language Result Execution time Memory
968554 2024-04-23T15:31:55 Z kilkuwu Circle selection (APIO18_circle_selection) C++17
100 / 100
 1018 ms 36736 KB 
#include <bits/stdc++.h>

#define nl '\n'

const int inf = 1e9;

signed main() {
  std::ios::sync_with_stdio(false);
  std::cin.tie(nullptr);
  
  int n;
  std::cin >> n;
  std::vector<int> ans(n, -1);

  std::vector<std::array<int, 3>> c(n);
  for (int i = 0; i < n; i++) {
    std::cin >> c[i][1] >> c[i][2] >> c[i][0];
    c[i][1] += inf;
    c[i][2] += inf;
  }

  std::vector<int> ord(n);
  std::iota(ord.begin(), ord.end(), 0);
  std::sort(ord.begin(), ord.end(), [&](int i, int j) {
    if (c[i][0] == c[j][0]) return i < j;
    return c[i][0] > c[j][0];
  });

  int block = c[ord[0]][0];
  
  std::vector<std::pair<int, int>> xy;
  std::vector<std::vector<int>> at(n);

  auto get_id = [&](std::pair<int, int> p) {
    int i = std::lower_bound(xy.begin(), xy.end(), p) - xy.begin();
    if (i == (int) xy.size() || xy[i] != p) return -1;
    return i;
  };

  auto sqr = [&](int x) -> int64_t {
    return (int64_t) x * x;
  };

  auto intersect = [&](int i, int j) {
    auto dist = sqr(c[i][1] - c[j][1]) + sqr(c[i][2] - c[j][2]);
    auto srad = sqr(c[i][0] + c[j][0]);
    return dist <= srad;
  };

  auto rescale = [&]() {
    xy.clear();
    for (int i = 0; i < n; i++) {
      at[i].clear();
    }
    for (int i = 0; i < n; i++) {
      if (ans[i] != -1) continue;
      xy.emplace_back(c[i][1] / block, c[i][2] / block);
    }
    std::sort(xy.begin(), xy.end());
    xy.erase(std::unique(xy.begin(), xy.end()), xy.end());

    for (int i = 0; i < n; i++) {
      if (ans[i] != -1) continue;
      at[get_id({c[i][1] / block, c[i][2] / block})].push_back(i);
    }
  };

  rescale();

  for (int id : ord) {
    if (ans[id] != -1) continue;
    if (c[id][0] * 2 < block) {
      block = c[id][0];
      rescale();
    }
    ans[id] = id;

    int x = c[id][1] / block;
    int y = c[id][2] / block;

    for (int i = x - 2; i <= x + 2; i++) {
      for (int j = y - 2; j <= y + 2; j++) {
        int idx = get_id({i, j});
        if (idx == -1) continue;
        std::vector<int> new_at;
        for (int ii : at[idx]) {
          if (intersect(id, ii)) {
            ans[ii] = id;
          } else {
            new_at.push_back(ii);
          }
        }
        std::swap(at[idx], new_at);
      }
    }
  }

  for (int i = 0; i < n; i++) {
    std::cout << ++ans[i] << " ";
  }
  std::cout << nl;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 356 KB Output is correct
5 Correct 0 ms 608 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 356 KB Output is correct
8 Correct 0 ms 356 KB Output is correct
9 Correct 0 ms 356 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 588 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 356 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 356 KB Output is correct
17 Correct 1 ms 356 KB Output is correct
18 Correct 1 ms 380 KB Output is correct
19 Correct 2 ms 952 KB Output is correct
20 Correct 2 ms 868 KB Output is correct
21 Correct 3 ms 868 KB Output is correct
22 Correct 11 ms 860 KB Output is correct
23 Correct 12 ms 1004 KB Output is correct
24 Correct 11 ms 940 KB Output is correct
25 Correct 10 ms 1012 KB Output is correct
26 Correct 10 ms 864 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 132 ms 27904 KB Output is correct
2 Correct 134 ms 26308 KB Output is correct
3 Correct 146 ms 27360 KB Output is correct
4 Correct 135 ms 28040 KB Output is correct
5 Correct 180 ms 24516 KB Output is correct
6 Correct 404 ms 28096 KB Output is correct
7 Correct 223 ms 25140 KB Output is correct
8 Correct 241 ms 26632 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 283 ms 11960 KB Output is correct
3 Correct 982 ms 35016 KB Output is correct
4 Correct 934 ms 36192 KB Output is correct
5 Correct 834 ms 33916 KB Output is correct
6 Correct 325 ms 17100 KB Output is correct
7 Correct 147 ms 9144 KB Output is correct
8 Correct 24 ms 2260 KB Output is correct
9 Correct 1014 ms 34760 KB Output is correct
10 Correct 742 ms 33768 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 802 ms 35092 KB Output is correct
2 Correct 638 ms 34604 KB Output is correct
3 Correct 257 ms 29568 KB Output is correct
4 Correct 639 ms 35716 KB Output is correct
5 Correct 646 ms 35288 KB Output is correct
6 Correct 181 ms 27912 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 356 KB Output is correct
5 Correct 0 ms 608 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 356 KB Output is correct
8 Correct 0 ms 356 KB Output is correct
9 Correct 0 ms 356 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 588 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 356 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 356 KB Output is correct
17 Correct 1 ms 356 KB Output is correct
18 Correct 1 ms 380 KB Output is correct
19 Correct 2 ms 952 KB Output is correct
20 Correct 2 ms 868 KB Output is correct
21 Correct 3 ms 868 KB Output is correct
22 Correct 11 ms 860 KB Output is correct
23 Correct 12 ms 1004 KB Output is correct
24 Correct 11 ms 940 KB Output is correct
25 Correct 10 ms 1012 KB Output is correct
26 Correct 10 ms 864 KB Output is correct
27 Correct 5 ms 1372 KB Output is correct
28 Correct 5 ms 1372 KB Output is correct
29 Correct 5 ms 1372 KB Output is correct
30 Correct 26 ms 1448 KB Output is correct
31 Correct 22 ms 1368 KB Output is correct
32 Correct 24 ms 1372 KB Output is correct
33 Correct 45 ms 9492 KB Output is correct
34 Correct 47 ms 9668 KB Output is correct
35 Correct 51 ms 9560 KB Output is correct
36 Correct 251 ms 11724 KB Output is correct
37 Correct 272 ms 11852 KB Output is correct
38 Correct 270 ms 11764 KB Output is correct
39 Correct 235 ms 10248 KB Output is correct
40 Correct 246 ms 10212 KB Output is correct
41 Correct 226 ms 10168 KB Output is correct
42 Correct 117 ms 10880 KB Output is correct
43 Correct 183 ms 11628 KB Output is correct
44 Correct 180 ms 11724 KB Output is correct
45 Correct 196 ms 11740 KB Output is correct
46 Correct 182 ms 11720 KB Output is correct
47 Correct 183 ms 11724 KB Output is correct
48 Correct 190 ms 11860 KB Output is correct
49 Correct 182 ms 11724 KB Output is correct
50 Correct 187 ms 11708 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 356 KB Output is correct
5 Correct 0 ms 608 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 356 KB Output is correct
8 Correct 0 ms 356 KB Output is correct
9 Correct 0 ms 356 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 588 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 356 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 356 KB Output is correct
17 Correct 1 ms 356 KB Output is correct
18 Correct 1 ms 380 KB Output is correct
19 Correct 2 ms 952 KB Output is correct
20 Correct 2 ms 868 KB Output is correct
21 Correct 3 ms 868 KB Output is correct
22 Correct 11 ms 860 KB Output is correct
23 Correct 12 ms 1004 KB Output is correct
24 Correct 11 ms 940 KB Output is correct
25 Correct 10 ms 1012 KB Output is correct
26 Correct 10 ms 864 KB Output is correct
27 Correct 132 ms 27904 KB Output is correct
28 Correct 134 ms 26308 KB Output is correct
29 Correct 146 ms 27360 KB Output is correct
30 Correct 135 ms 28040 KB Output is correct
31 Correct 180 ms 24516 KB Output is correct
32 Correct 404 ms 28096 KB Output is correct
33 Correct 223 ms 25140 KB Output is correct
34 Correct 241 ms 26632 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 283 ms 11960 KB Output is correct
37 Correct 982 ms 35016 KB Output is correct
38 Correct 934 ms 36192 KB Output is correct
39 Correct 834 ms 33916 KB Output is correct
40 Correct 325 ms 17100 KB Output is correct
41 Correct 147 ms 9144 KB Output is correct
42 Correct 24 ms 2260 KB Output is correct
43 Correct 1014 ms 34760 KB Output is correct
44 Correct 742 ms 33768 KB Output is correct
45 Correct 802 ms 35092 KB Output is correct
46 Correct 638 ms 34604 KB Output is correct
47 Correct 257 ms 29568 KB Output is correct
48 Correct 639 ms 35716 KB Output is correct
49 Correct 646 ms 35288 KB Output is correct
50 Correct 181 ms 27912 KB Output is correct
51 Correct 5 ms 1372 KB Output is correct
52 Correct 5 ms 1372 KB Output is correct
53 Correct 5 ms 1372 KB Output is correct
54 Correct 26 ms 1448 KB Output is correct
55 Correct 22 ms 1368 KB Output is correct
56 Correct 24 ms 1372 KB Output is correct
57 Correct 45 ms 9492 KB Output is correct
58 Correct 47 ms 9668 KB Output is correct
59 Correct 51 ms 9560 KB Output is correct
60 Correct 251 ms 11724 KB Output is correct
61 Correct 272 ms 11852 KB Output is correct
62 Correct 270 ms 11764 KB Output is correct
63 Correct 235 ms 10248 KB Output is correct
64 Correct 246 ms 10212 KB Output is correct
65 Correct 226 ms 10168 KB Output is correct
66 Correct 117 ms 10880 KB Output is correct
67 Correct 183 ms 11628 KB Output is correct
68 Correct 180 ms 11724 KB Output is correct
69 Correct 196 ms 11740 KB Output is correct
70 Correct 182 ms 11720 KB Output is correct
71 Correct 183 ms 11724 KB Output is correct
72 Correct 190 ms 11860 KB Output is correct
73 Correct 182 ms 11724 KB Output is correct
74 Correct 187 ms 11708 KB Output is correct
75 Correct 160 ms 28792 KB Output is correct
76 Correct 151 ms 29380 KB Output is correct
77 Correct 135 ms 29160 KB Output is correct
78 Correct 137 ms 29848 KB Output is correct
79 Correct 190 ms 28860 KB Output is correct
80 Correct 144 ms 28236 KB Output is correct
81 Correct 953 ms 35776 KB Output is correct
82 Correct 925 ms 35000 KB Output is correct
83 Correct 944 ms 35924 KB Output is correct
84 Correct 968 ms 36736 KB Output is correct
85 Correct 926 ms 35292 KB Output is correct
86 Correct 883 ms 35012 KB Output is correct
87 Correct 1018 ms 35776 KB Output is correct
88 Correct 821 ms 31868 KB Output is correct
89 Correct 796 ms 31724 KB Output is correct
90 Correct 817 ms 31676 KB Output is correct
91 Correct 813 ms 30052 KB Output is correct
92 Correct 823 ms 31296 KB Output is correct
93 Correct 751 ms 35012 KB Output is correct
94 Correct 770 ms 34496 KB Output is correct
95 Correct 770 ms 34944 KB Output is correct
96 Correct 750 ms 34608 KB Output is correct
97 Correct 992 ms 35528 KB Output is correct
98 Correct 514 ms 31576 KB Output is correct
99 Correct 762 ms 34672 KB Output is correct
100 Correct 661 ms 33984 KB Output is correct
101 Correct 627 ms 33728 KB Output is correct
102 Correct 729 ms 35472 KB Output is correct
103 Correct 939 ms 35324 KB Output is correct
104 Correct 749 ms 35264 KB Output is correct
105 Correct 475 ms 31772 KB Output is correct
106 Correct 607 ms 35056 KB Output is correct
107 Correct 637 ms 34164 KB Output is correct
108 Correct 629 ms 35060 KB Output is correct
109 Correct 608 ms 35524 KB Output is correct
110 Correct 598 ms 34752 KB Output is correct
111 Correct 581 ms 34308 KB Output is correct
112 Correct 603 ms 34800 KB Output is correct
113 Correct 613 ms 34260 KB Output is correct
114 Correct 586 ms 34756 KB Output is correct
115 Correct 582 ms 35524 KB Output is correct
116 Correct 570 ms 35720 KB Output is correct