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Submission #235111

# Submission time Handle Problem Language Result Execution time Memory
235111 2020-05-27T05:39:10 Z rama_pang Circle selection (APIO18_circle_selection) C++14
100 / 100
 2108 ms 28308 KB 
#include <bits/stdc++.h>
using namespace std;

struct Circle {
  int x, y, r, id;
  Circle() {}
  Circle(int x, int y, int r, int id) : x(x), y(y), r(r), id(id) {}
  bool operator < (const Circle &o) const { return r > o.r || (r == o.r && id < o.id); }
};

bool Intersect(Circle a, Circle b) {
  return (1ll * (b.x - a.x) * (b.x - a.x) + 
          1ll * (b.y - a.y) * (b.y - a.y) <= 
          1ll * (b.r + a.r) * (b.r + a.r));
}

using Point = pair<int, int>;

int N;
vector<Circle> circles;

vector<int> revpos;
vector<bool> deleted;
vector<int> answer;

vector<pair<Point, int>> points;

void Resize(int lg) {
  int side = 1 << lg;
  points.clear();
  for (int i = 0; i < N; i++) if (!deleted[circles[i].id]) {
    points.emplace_back(Point(circles[i].x / side, circles[i].y / side), circles[i].id);
  }
  sort(begin(points), end(points));
}

int main() {
  ios::sync_with_stdio(0);
  cin.tie(0), cout.tie(0);

  cin >> N;
  for (int i = 0; i < N; i++) {
    int x, y, r;
    cin >> x >> y >> r;
    x += 1e9, y += 1e9;
    circles.emplace_back(x, y, r, i);
    deleted.emplace_back(false);
    answer.emplace_back(-1);
  }

  sort(begin(circles), end(circles));
  revpos.resize(N);
  for (int i = 0; i < N; i++) {
    revpos[circles[i].id] = i;
  }  

  int lg = 30;
  Resize(lg);

  for (auto c : circles) if (!deleted[c.id]) {
    while ((1 << (lg - 1)) >= c.r) {
      Resize(--lg);
    }
    int side = 1 << lg;
    int x = c.x / side;
    int y = c.y / side;
    for (int dx = -2; dx <= 2; dx++) {
      for (int dy = -2; dy <= 2; dy++) {
        auto it = lower_bound(begin(points), end(points), make_pair(Point(x + dx, y + dy), -1));
        for (auto j = it; j != end(points) && j->first == make_pair(x + dx, y + dy); j++) {
          if (Intersect(c, circles[revpos[j->second]]) && !deleted[j->second]) {
            answer[j->second] = c.id;
            deleted[j->second] = true;
          }
        }
      }
    }
  }

  for (int i = 0; i < N; i++) {
    cout << answer[i] + 1 << " \n"[i + 1 == N];
  }
  return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 4 ms 256 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 308 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 8 ms 640 KB Output is correct
20 Correct 8 ms 768 KB Output is correct
21 Correct 8 ms 640 KB Output is correct
22 Correct 23 ms 640 KB Output is correct
23 Correct 27 ms 640 KB Output is correct
24 Correct 23 ms 768 KB Output is correct
25 Correct 23 ms 640 KB Output is correct
26 Correct 23 ms 640 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 263 ms 19348 KB Output is correct
2 Correct 308 ms 19376 KB Output is correct
3 Correct 312 ms 19220 KB Output is correct
4 Correct 221 ms 19348 KB Output is correct
5 Correct 1037 ms 19092 KB Output is correct
6 Correct 1280 ms 19220 KB Output is correct
7 Correct 1031 ms 19220 KB Output is correct
8 Correct 1121 ms 19220 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 459 ms 5996 KB Output is correct
3 Correct 1514 ms 19220 KB Output is correct
4 Correct 1513 ms 19188 KB Output is correct
5 Correct 1337 ms 18908 KB Output is correct
6 Correct 597 ms 10132 KB Output is correct
7 Correct 300 ms 5420 KB Output is correct
8 Correct 60 ms 1460 KB Output is correct
9 Correct 1532 ms 19220 KB Output is correct
10 Correct 1164 ms 19220 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1607 ms 19180 KB Output is correct
2 Correct 1868 ms 19352 KB Output is correct
3 Correct 699 ms 27340 KB Output is correct
4 Correct 1592 ms 26684 KB Output is correct
5 Correct 1592 ms 26900 KB Output is correct
6 Correct 580 ms 27156 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 4 ms 256 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 308 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 8 ms 640 KB Output is correct
20 Correct 8 ms 768 KB Output is correct
21 Correct 8 ms 640 KB Output is correct
22 Correct 23 ms 640 KB Output is correct
23 Correct 27 ms 640 KB Output is correct
24 Correct 23 ms 768 KB Output is correct
25 Correct 23 ms 640 KB Output is correct
26 Correct 23 ms 640 KB Output is correct
27 Correct 14 ms 1036 KB Output is correct
28 Correct 14 ms 960 KB Output is correct
29 Correct 12 ms 960 KB Output is correct
30 Correct 48 ms 960 KB Output is correct
31 Correct 44 ms 960 KB Output is correct
32 Correct 45 ms 960 KB Output is correct
33 Correct 81 ms 6056 KB Output is correct
34 Correct 84 ms 6056 KB Output is correct
35 Correct 108 ms 6056 KB Output is correct
36 Correct 489 ms 6056 KB Output is correct
37 Correct 486 ms 6056 KB Output is correct
38 Correct 493 ms 6056 KB Output is correct
39 Correct 632 ms 6056 KB Output is correct
40 Correct 643 ms 6004 KB Output is correct
41 Correct 633 ms 6056 KB Output is correct
42 Correct 308 ms 5928 KB Output is correct
43 Correct 461 ms 6056 KB Output is correct
44 Correct 463 ms 6056 KB Output is correct
45 Correct 463 ms 6056 KB Output is correct
46 Correct 467 ms 6056 KB Output is correct
47 Correct 465 ms 6060 KB Output is correct
48 Correct 468 ms 6056 KB Output is correct
49 Correct 464 ms 6104 KB Output is correct
50 Correct 475 ms 6056 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 256 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 4 ms 256 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 4 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 308 KB Output is correct
15 Correct 5 ms 384 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 8 ms 640 KB Output is correct
20 Correct 8 ms 768 KB Output is correct
21 Correct 8 ms 640 KB Output is correct
22 Correct 23 ms 640 KB Output is correct
23 Correct 27 ms 640 KB Output is correct
24 Correct 23 ms 768 KB Output is correct
25 Correct 23 ms 640 KB Output is correct
26 Correct 23 ms 640 KB Output is correct
27 Correct 263 ms 19348 KB Output is correct
28 Correct 308 ms 19376 KB Output is correct
29 Correct 312 ms 19220 KB Output is correct
30 Correct 221 ms 19348 KB Output is correct
31 Correct 1037 ms 19092 KB Output is correct
32 Correct 1280 ms 19220 KB Output is correct
33 Correct 1031 ms 19220 KB Output is correct
34 Correct 1121 ms 19220 KB Output is correct
35 Correct 5 ms 384 KB Output is correct
36 Correct 459 ms 5996 KB Output is correct
37 Correct 1514 ms 19220 KB Output is correct
38 Correct 1513 ms 19188 KB Output is correct
39 Correct 1337 ms 18908 KB Output is correct
40 Correct 597 ms 10132 KB Output is correct
41 Correct 300 ms 5420 KB Output is correct
42 Correct 60 ms 1460 KB Output is correct
43 Correct 1532 ms 19220 KB Output is correct
44 Correct 1164 ms 19220 KB Output is correct
45 Correct 1607 ms 19180 KB Output is correct
46 Correct 1868 ms 19352 KB Output is correct
47 Correct 699 ms 27340 KB Output is correct
48 Correct 1592 ms 26684 KB Output is correct
49 Correct 1592 ms 26900 KB Output is correct
50 Correct 580 ms 27156 KB Output is correct
51 Correct 14 ms 1036 KB Output is correct
52 Correct 14 ms 960 KB Output is correct
53 Correct 12 ms 960 KB Output is correct
54 Correct 48 ms 960 KB Output is correct
55 Correct 44 ms 960 KB Output is correct
56 Correct 45 ms 960 KB Output is correct
57 Correct 81 ms 6056 KB Output is correct
58 Correct 84 ms 6056 KB Output is correct
59 Correct 108 ms 6056 KB Output is correct
60 Correct 489 ms 6056 KB Output is correct
61 Correct 486 ms 6056 KB Output is correct
62 Correct 493 ms 6056 KB Output is correct
63 Correct 632 ms 6056 KB Output is correct
64 Correct 643 ms 6004 KB Output is correct
65 Correct 633 ms 6056 KB Output is correct
66 Correct 308 ms 5928 KB Output is correct
67 Correct 461 ms 6056 KB Output is correct
68 Correct 463 ms 6056 KB Output is correct
69 Correct 463 ms 6056 KB Output is correct
70 Correct 467 ms 6056 KB Output is correct
71 Correct 465 ms 6060 KB Output is correct
72 Correct 468 ms 6056 KB Output is correct
73 Correct 464 ms 6104 KB Output is correct
74 Correct 475 ms 6056 KB Output is correct
75 Correct 314 ms 28308 KB Output is correct
76 Correct 359 ms 28184 KB Output is correct
77 Correct 326 ms 28184 KB Output is correct
78 Correct 247 ms 28052 KB Output is correct
79 Correct 452 ms 28024 KB Output is correct
80 Correct 245 ms 28096 KB Output is correct
81 Correct 1612 ms 27284 KB Output is correct
82 Correct 1559 ms 27156 KB Output is correct
83 Correct 1582 ms 27088 KB Output is correct
84 Correct 1643 ms 27676 KB Output is correct
85 Correct 1578 ms 27156 KB Output is correct
86 Correct 1564 ms 27156 KB Output is correct
87 Correct 1704 ms 27248 KB Output is correct
88 Correct 2063 ms 22416 KB Output is correct
89 Correct 2045 ms 22548 KB Output is correct
90 Correct 2045 ms 22420 KB Output is correct
91 Correct 2071 ms 22424 KB Output is correct
92 Correct 2055 ms 22420 KB Output is correct
93 Correct 1674 ms 26132 KB Output is correct
94 Correct 1711 ms 26644 KB Output is correct
95 Correct 1678 ms 26388 KB Output is correct
96 Correct 1664 ms 26312 KB Output is correct
97 Correct 2108 ms 26132 KB Output is correct
98 Correct 1370 ms 26648 KB Output is correct
99 Correct 1669 ms 26388 KB Output is correct
100 Correct 1760 ms 26000 KB Output is correct
101 Correct 1499 ms 26516 KB Output is correct
102 Correct 1644 ms 26156 KB Output is correct
103 Correct 1927 ms 26172 KB Output is correct
104 Correct 1647 ms 26004 KB Output is correct
105 Correct 1096 ms 23956 KB Output is correct
106 Correct 1514 ms 27028 KB Output is correct
107 Correct 1522 ms 27028 KB Output is correct
108 Correct 1521 ms 27248 KB Output is correct
109 Correct 1524 ms 26936 KB Output is correct
110 Correct 1535 ms 27028 KB Output is correct
111 Correct 1536 ms 27084 KB Output is correct
112 Correct 1528 ms 27060 KB Output is correct
113 Correct 1516 ms 26964 KB Output is correct
114 Correct 1545 ms 27028 KB Output is correct
115 Correct 1525 ms 26960 KB Output is correct
116 Correct 1431 ms 26900 KB Output is correct