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Submission #658764

# Submission time Handle Problem Language Result Execution time Memory
658764 2022-11-14T20:39:37 Z 600Mihnea Circle selection (APIO18_circle_selection) C++17
100 / 100
 2559 ms 54528 KB 
bool home = 0;

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int N = (int) 3e5 + 7;
const int INF = (int) 1e9 + 7;
int n;

struct Circle {
  int x;
  int y;
  int r;
};

bool doIntersect(Circle a, Circle b) {
  /// dist <= a.r + b.r
  /// dist ^  2 <= (a.r + b.r) ^ 2
  return 1LL * (a.x - b.x) * (a.x - b.x) + 1LL * (a.y - b.y) * (a.y - b.y) <= 1LL * (a.r + b.r) * (a.r + b.r);
}


Circle circles[N];
int ret[N];

map<pair<int, int>, vector<int>> guysAtPosition;


bool cmp(int i, int j) {
  if (circles[i].r == circles[j].r) {
    return i < j;
  } else {
    return circles[i].r > circles[j].r;
  }
}
set<int, decltype(cmp)*> s(cmp);

int r_divide_glob;

void place(int r_divide, set<int, decltype(cmp)*>& s) {
  r_divide_glob = r_divide;
  guysAtPosition.clear();
  for (auto &i : s) {
    guysAtPosition[{circles[i].x / r_divide, circles[i].y / r_divide}].push_back(i);
  }
}

void elim(int i, set<int, decltype(cmp)*>& s) {
  int x = circles[i].x / r_divide_glob, y = circles[i].y / r_divide_glob;
  for (int x2 = x - 2; x2 <= x + 2; x2++) {
    for (int y2 = y - 2; y2 <= y + 2; y2++) {
      pair<int, int> it = {x2, y2};
      if (!guysAtPosition.count(it)) {
        continue;
      }
      for (auto &j : guysAtPosition[it]) {
        if (ret[j] == 0 && doIntersect(circles[i], circles[j])) {
          ret[j] = i;
          s.erase(j);
        }
      }
    }
  }
}

int main() {
  if (home == 0) {
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  } else {
    freopen ("input.txt", "r", stdin);
  }

  cin >> n;
  for (int i = 1; i <= n; i++) {
    cin >> circles[i].x >> circles[i].y >> circles[i].r;
    circles[i].x += INF;
    circles[i].y += INF;
  }

  for (int i = 1; i <= n; i++) {
    s.insert(i);
  }
  int max_radius = circles[1].r;
  for (int i = 2; i <= n; i++) {
    max_radius = max(max_radius, circles[i].r);
  }
  place(max_radius, s);
  while (!s.empty()) {
    int i = *s.begin();
    if (circles[i].r <= max_radius / 2) {
      max_radius = circles[i].r;
      place(max_radius, s);
    }
    elim(i, s);
  }

  for (int i = 1; i <= n; i++) {
    cout << ret[i] << " ";
  }
  cout << "\n";

  return 0;
}

Compilation message

circle_selection.cpp: In function 'int main()':
circle_selection.cpp:73:13: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   73 |     freopen ("input.txt", "r", stdin);
      |     ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 336 KB Output is correct
19 Correct 5 ms 852 KB Output is correct
20 Correct 4 ms 724 KB Output is correct
21 Correct 4 ms 764 KB Output is correct
22 Correct 13 ms 1280 KB Output is correct
23 Correct 14 ms 1236 KB Output is correct
24 Correct 13 ms 1324 KB Output is correct
25 Correct 12 ms 1348 KB Output is correct
26 Correct 14 ms 1328 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 452 ms 21244 KB Output is correct
2 Correct 462 ms 21336 KB Output is correct
3 Correct 484 ms 22620 KB Output is correct
4 Correct 480 ms 21772 KB Output is correct
5 Correct 629 ms 23712 KB Output is correct
6 Correct 1119 ms 37384 KB Output is correct
7 Correct 718 ms 25304 KB Output is correct
8 Correct 784 ms 27512 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 511 ms 18032 KB Output is correct
3 Correct 2102 ms 53948 KB Output is correct
4 Correct 2090 ms 53908 KB Output is correct
5 Correct 2171 ms 47276 KB Output is correct
6 Correct 806 ms 23572 KB Output is correct
7 Correct 339 ms 12804 KB Output is correct
8 Correct 37 ms 2920 KB Output is correct
9 Correct 2559 ms 53004 KB Output is correct
10 Correct 2165 ms 46012 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1541 ms 53848 KB Output is correct
2 Correct 1180 ms 54000 KB Output is correct
3 Correct 811 ms 30780 KB Output is correct
4 Correct 1188 ms 54424 KB Output is correct
5 Correct 1170 ms 54528 KB Output is correct
6 Correct 598 ms 25000 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 336 KB Output is correct
19 Correct 5 ms 852 KB Output is correct
20 Correct 4 ms 724 KB Output is correct
21 Correct 4 ms 764 KB Output is correct
22 Correct 13 ms 1280 KB Output is correct
23 Correct 14 ms 1236 KB Output is correct
24 Correct 13 ms 1324 KB Output is correct
25 Correct 12 ms 1348 KB Output is correct
26 Correct 14 ms 1328 KB Output is correct
27 Correct 8 ms 1028 KB Output is correct
28 Correct 7 ms 980 KB Output is correct
29 Correct 8 ms 1064 KB Output is correct
30 Correct 29 ms 2056 KB Output is correct
31 Correct 28 ms 2040 KB Output is correct
32 Correct 27 ms 2004 KB Output is correct
33 Correct 103 ms 7644 KB Output is correct
34 Correct 104 ms 7752 KB Output is correct
35 Correct 108 ms 7316 KB Output is correct
36 Correct 448 ms 18124 KB Output is correct
37 Correct 488 ms 18016 KB Output is correct
38 Correct 492 ms 18052 KB Output is correct
39 Correct 417 ms 16416 KB Output is correct
40 Correct 411 ms 17160 KB Output is correct
41 Correct 440 ms 16968 KB Output is correct
42 Correct 366 ms 18464 KB Output is correct
43 Correct 327 ms 18380 KB Output is correct
44 Correct 329 ms 18392 KB Output is correct
45 Correct 329 ms 18380 KB Output is correct
46 Correct 331 ms 18308 KB Output is correct
47 Correct 337 ms 18312 KB Output is correct
48 Correct 330 ms 18368 KB Output is correct
49 Correct 329 ms 18428 KB Output is correct
50 Correct 328 ms 18364 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 2 ms 336 KB Output is correct
19 Correct 5 ms 852 KB Output is correct
20 Correct 4 ms 724 KB Output is correct
21 Correct 4 ms 764 KB Output is correct
22 Correct 13 ms 1280 KB Output is correct
23 Correct 14 ms 1236 KB Output is correct
24 Correct 13 ms 1324 KB Output is correct
25 Correct 12 ms 1348 KB Output is correct
26 Correct 14 ms 1328 KB Output is correct
27 Correct 452 ms 21244 KB Output is correct
28 Correct 462 ms 21336 KB Output is correct
29 Correct 484 ms 22620 KB Output is correct
30 Correct 480 ms 21772 KB Output is correct
31 Correct 629 ms 23712 KB Output is correct
32 Correct 1119 ms 37384 KB Output is correct
33 Correct 718 ms 25304 KB Output is correct
34 Correct 784 ms 27512 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 511 ms 18032 KB Output is correct
37 Correct 2102 ms 53948 KB Output is correct
38 Correct 2090 ms 53908 KB Output is correct
39 Correct 2171 ms 47276 KB Output is correct
40 Correct 806 ms 23572 KB Output is correct
41 Correct 339 ms 12804 KB Output is correct
42 Correct 37 ms 2920 KB Output is correct
43 Correct 2559 ms 53004 KB Output is correct
44 Correct 2165 ms 46012 KB Output is correct
45 Correct 1541 ms 53848 KB Output is correct
46 Correct 1180 ms 54000 KB Output is correct
47 Correct 811 ms 30780 KB Output is correct
48 Correct 1188 ms 54424 KB Output is correct
49 Correct 1170 ms 54528 KB Output is correct
50 Correct 598 ms 25000 KB Output is correct
51 Correct 8 ms 1028 KB Output is correct
52 Correct 7 ms 980 KB Output is correct
53 Correct 8 ms 1064 KB Output is correct
54 Correct 29 ms 2056 KB Output is correct
55 Correct 28 ms 2040 KB Output is correct
56 Correct 27 ms 2004 KB Output is correct
57 Correct 103 ms 7644 KB Output is correct
58 Correct 104 ms 7752 KB Output is correct
59 Correct 108 ms 7316 KB Output is correct
60 Correct 448 ms 18124 KB Output is correct
61 Correct 488 ms 18016 KB Output is correct
62 Correct 492 ms 18052 KB Output is correct
63 Correct 417 ms 16416 KB Output is correct
64 Correct 411 ms 17160 KB Output is correct
65 Correct 440 ms 16968 KB Output is correct
66 Correct 366 ms 18464 KB Output is correct
67 Correct 327 ms 18380 KB Output is correct
68 Correct 329 ms 18392 KB Output is correct
69 Correct 329 ms 18380 KB Output is correct
70 Correct 331 ms 18308 KB Output is correct
71 Correct 337 ms 18312 KB Output is correct
72 Correct 330 ms 18368 KB Output is correct
73 Correct 329 ms 18428 KB Output is correct
74 Correct 328 ms 18364 KB Output is correct
75 Correct 551 ms 21784 KB Output is correct
76 Correct 563 ms 22164 KB Output is correct
77 Correct 434 ms 23004 KB Output is correct
78 Correct 414 ms 22684 KB Output is correct
79 Correct 681 ms 21852 KB Output is correct
80 Correct 469 ms 22648 KB Output is correct
81 Correct 2031 ms 54472 KB Output is correct
82 Correct 1874 ms 54424 KB Output is correct
83 Correct 1902 ms 54504 KB Output is correct
84 Correct 2143 ms 54348 KB Output is correct
85 Correct 1969 ms 54400 KB Output is correct
86 Correct 1924 ms 54464 KB Output is correct
87 Correct 2283 ms 54304 KB Output is correct
88 Correct 1510 ms 49620 KB Output is correct
89 Correct 1546 ms 49584 KB Output is correct
90 Correct 1561 ms 49556 KB Output is correct
91 Correct 1514 ms 49532 KB Output is correct
92 Correct 1533 ms 49488 KB Output is correct
93 Correct 1423 ms 54380 KB Output is correct
94 Correct 1666 ms 54084 KB Output is correct
95 Correct 1402 ms 54520 KB Output is correct
96 Correct 1534 ms 54408 KB Output is correct
97 Correct 2155 ms 54436 KB Output is correct
98 Correct 1258 ms 42444 KB Output is correct
99 Correct 1527 ms 54348 KB Output is correct
100 Correct 1310 ms 54436 KB Output is correct
101 Correct 1576 ms 47528 KB Output is correct
102 Correct 1498 ms 53988 KB Output is correct
103 Correct 2051 ms 53952 KB Output is correct
104 Correct 1441 ms 54388 KB Output is correct
105 Correct 1299 ms 54064 KB Output is correct
106 Correct 1142 ms 52136 KB Output is correct
107 Correct 1150 ms 52472 KB Output is correct
108 Correct 1139 ms 52248 KB Output is correct
109 Correct 1159 ms 52244 KB Output is correct
110 Correct 1156 ms 52284 KB Output is correct
111 Correct 1153 ms 52260 KB Output is correct
112 Correct 1188 ms 52324 KB Output is correct
113 Correct 1136 ms 52416 KB Output is correct
114 Correct 1145 ms 52476 KB Output is correct
115 Correct 1152 ms 52400 KB Output is correct
116 Correct 1104 ms 52308 KB Output is correct