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Submission #966627

# Submission time Handle Problem Language Result Execution time Memory
966627 2024-04-20T07:14:06 Z Soumya1 Circle selection (APIO18_circle_selection) C++17
0 / 100
 560 ms 143560 KB 
#include <bits/stdc++.h>
using namespace std;
const int mxN = 3e5 + 5;
int x[mxN], y[mxN], r[mxN], pos[mxN], ans[mxN];
set<pair<int, int>> st[4 * mxN];
void update(int x, int lx, int rx, int l, int r, int i) {
  if (l > rx || lx > r) return;
  if (l <= lx && r >= rx) {
    st[x].insert({y[i], i});
    return;
  }
  int mx = (lx + rx) >> 1;
  update(x << 1, lx, mx, l, r, i);
  update(x << 1 | 1, mx + 1, rx, l, r, i);
}
bool intersect(int a, int b) {
  return 1LL * (x[a] - x[b]) * (x[a] - x[b]) + 1LL * (y[a] - y[b]) * (y[a] - y[b]) <= 1LL * (r[a] + r[b]) * (r[a] + r[b]);
}
void update(int a, int b) {
  if (!intersect(a, b)) return;
  if (pos[b] < pos[ans[a]]) ans[a] = b;
}
void check(int x, int i) {
  auto it = lower_bound(st[x].begin(), st[x].end(), pair<int, int> {y[i], -2e9});
  int cnt = 5;
  while (it != st[x].end()) {
    update(i, (*it).second);
    cnt--;
    it++;
    if (!cnt) break;
  }
  it = lower_bound(st[x].begin(), st[x].end(), pair<int, int> {y[i], -2e9});
  cnt = 6;
  while (true) {
    update(i, (*it).second);
    if (it == st[x].begin()) break;
    cnt--;
    it--;
    if (!cnt) break;
  }
}
void query(int x, int lx, int rx, int p, int i) {
  check(x, i);
  if (lx == rx) return;
  int mx = (lx + rx) >> 1;
  if (p <= mx) query(x << 1, lx, mx, p, i);
  else query(x << 1 | 1, mx + 1, rx, p, i);
}
void testCase() {
  int n;
  cin >> n;
  vector<int> all;
  for (int i = 0; i < n; i++) {
    cin >> x[i] >> y[i] >> r[i];
    all.push_back(x[i] - r[i]);
    all.push_back(x[i] + r[i]); 
  }
  vector<int> ord(n);
  iota(ord.begin(), ord.end(), 0);
  sort(ord.begin(), ord.end(), [&](int i, int j) {
    if (r[i] != r[j]) return r[i] > r[j];
    return i < j;
  });
  for (int i = 0; i < n; i++) {
    pos[ord[i]] = i;
  }
  sort(all.begin(), all.end());
  all.erase(unique(all.begin(), all.end()), all.end());
  int N = all.size();
  for (int i = 0; i < n; i++) ans[i] = i;
  for (int i = 0; i < n; i++) {
    int ii = ord[i];
    int L = lower_bound(all.begin(), all.end(), x[ii] - r[ii]) - all.begin() + 1;
    int R = lower_bound(all.begin(), all.end(), x[ii] + r[ii]) - all.begin() + 1;
    query(1, 1, N, L, ii);
    query(1, 1, N, R, ii);
    if (ans[ii] == ii) {
      update(1, 1, N, L, R, ii);
    }
  }
  for (int i = 0; i < n; i++) cout << ans[i] + 1 << " ";
  cout << "\n";
}
int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  testCase();
  return 0;
}

Subtask #1
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 62032 KB Output is correct
2 Correct 13 ms 62044 KB Output is correct
3 Correct 12 ms 62192 KB Output is correct
4 Correct 13 ms 62044 KB Output is correct
5 Correct 14 ms 62044 KB Output is correct
6 Correct 14 ms 62044 KB Output is correct
7 Correct 13 ms 62040 KB Output is correct
8 Correct 13 ms 62044 KB Output is correct
9 Correct 12 ms 62044 KB Output is correct
10 Correct 13 ms 62044 KB Output is correct
11 Correct 13 ms 62044 KB Output is correct
12 Correct 12 ms 62188 KB Output is correct
13 Correct 15 ms 62044 KB Output is correct
14 Correct 14 ms 62044 KB Output is correct
15 Correct 14 ms 62152 KB Output is correct
16 Correct 14 ms 62044 KB Output is correct
17 Correct 14 ms 62252 KB Output is correct
18 Correct 15 ms 62044 KB Output is correct
19 Correct 19 ms 62408 KB Output is correct
20 Correct 18 ms 62300 KB Output is correct
21 Incorrect 19 ms 62460 KB Output isn't correct
22 Halted 0 ms 0 KB -

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Runtime error 199 ms 143560 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 62040 KB Output is correct
2 Correct 560 ms 89376 KB Output is correct
3 Runtime error 204 ms 142268 KB Execution killed with signal 11
4 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Runtime error 178 ms 141756 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 62032 KB Output is correct
2 Correct 13 ms 62044 KB Output is correct
3 Correct 12 ms 62192 KB Output is correct
4 Correct 13 ms 62044 KB Output is correct
5 Correct 14 ms 62044 KB Output is correct
6 Correct 14 ms 62044 KB Output is correct
7 Correct 13 ms 62040 KB Output is correct
8 Correct 13 ms 62044 KB Output is correct
9 Correct 12 ms 62044 KB Output is correct
10 Correct 13 ms 62044 KB Output is correct
11 Correct 13 ms 62044 KB Output is correct
12 Correct 12 ms 62188 KB Output is correct
13 Correct 15 ms 62044 KB Output is correct
14 Correct 14 ms 62044 KB Output is correct
15 Correct 14 ms 62152 KB Output is correct
16 Correct 14 ms 62044 KB Output is correct
17 Correct 14 ms 62252 KB Output is correct
18 Correct 15 ms 62044 KB Output is correct
19 Correct 19 ms 62408 KB Output is correct
20 Correct 18 ms 62300 KB Output is correct
21 Incorrect 19 ms 62460 KB Output isn't correct
22 Halted 0 ms 0 KB -

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 62032 KB Output is correct
2 Correct 13 ms 62044 KB Output is correct
3 Correct 12 ms 62192 KB Output is correct
4 Correct 13 ms 62044 KB Output is correct
5 Correct 14 ms 62044 KB Output is correct
6 Correct 14 ms 62044 KB Output is correct
7 Correct 13 ms 62040 KB Output is correct
8 Correct 13 ms 62044 KB Output is correct
9 Correct 12 ms 62044 KB Output is correct
10 Correct 13 ms 62044 KB Output is correct
11 Correct 13 ms 62044 KB Output is correct
12 Correct 12 ms 62188 KB Output is correct
13 Correct 15 ms 62044 KB Output is correct
14 Correct 14 ms 62044 KB Output is correct
15 Correct 14 ms 62152 KB Output is correct
16 Correct 14 ms 62044 KB Output is correct
17 Correct 14 ms 62252 KB Output is correct
18 Correct 15 ms 62044 KB Output is correct
19 Correct 19 ms 62408 KB Output is correct
20 Correct 18 ms 62300 KB Output is correct
21 Incorrect 19 ms 62460 KB Output isn't correct
22 Halted 0 ms 0 KB -