답안 #253677

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
253677 2020-07-28T14:00:54 Z EntityIT 원 고르기 (APIO18_circle_selection) C++14
87 / 100
3000 ms 57744 KB
#include <bits/stdc++.h>
using namespace std;

#define ALL(x) (x).begin(), (x).end()
#define SZ(x) static_cast<int>((x).size())

template<class T, size_t D>
struct vec : vector<vec<T, D - 1>> {
  template<class... Args>
  vec(size_t n = 0, Args... args)
      : vector<vec<T, D - 1>>(n, vec<T, D - 1>(args...)) {}
};
template<class T>
struct vec<T, 1> : vector<T> {
  template<class... Args>
  vec(Args... args)
      : vector<T>(args...) {}
};

template<class T>
inline bool Minimize(T& a, const T& b) { return a > b ? a = b, true : false; }
template<class T>
inline bool Maximize(T& a, const T& b) { return a < b ? a = b, true : false; }
inline int Next(int i, int n) { return i == n - 1 ? 0 : i + 1; }
inline int Prev(int i, int n) { return !i ? n - 1 : i - 1; }

mt19937 rng(static_cast<uint32_t>(chrono::steady_clock::now().time_since_epoch().count()));

struct Circle {
  int x, y, r;
  Circle(int t_x = 0, int t_y = 0, int t_r = 0)
      : x(t_x),
        y(t_y),
        r(t_r) {}

  bool CheckIntersection(const Circle& o) const {
    return static_cast<int64_t>(x - o.x) * (x - o.x) + static_cast<int64_t>(y - o.y) * (y - o.y) <= static_cast<int64_t>(r + o.r) * (r + o.r);
  }
};

int main() {
  ios_base::sync_with_stdio(0); cin.tie(0);

  int n_circles; cin >> n_circles;
  vec<Circle, 1> circles(n_circles);
  int min_x, min_y;
  min_x = min_y = numeric_limits<int>::max();
  for (auto& circle : circles) {
    cin >> circle.x >> circle.y >> circle.r;
    Minimize(min_x, circle.x);
    Minimize(min_y, circle.y);
  }
  for (auto& circle : circles) {
    circle.x -= min_x;
    circle.y -= min_y;
  }

  vec<int, 1> ord_circles(n_circles); iota(ALL(ord_circles), 0);
  sort(ALL(ord_circles), [&](int i, int j) {
    return circles[i].r != circles[j].r ? circles[i].r > circles[j].r : i < j;
  });

  int scaler = 31;
  vec<pair<int, int>, 2> members_groups(1);
  for (int i = 0; i < n_circles; ++i) {
    members_groups[0].emplace_back(circles[i].y, i);
  }
  sort(ALL(members_groups[0]));

  vec<bool, 1> deleted(n_circles);
  vec<int, 1> answers(n_circles);
  for (auto& idx_circle : ord_circles) {
    if (!deleted[idx_circle]) {
      deleted[idx_circle] = true;
      answers[idx_circle] = idx_circle;

      while (scaler && circles[idx_circle].r < (1 << (scaler - 1))) {
        --scaler;

        vec<pair<int, int>, 2> next_members_groups;
        for (auto& members : members_groups) {
          array<vec<pair<int, int>, 1>, 2> tmp_members;
          for (auto& member : members) {
            if (deleted[member.second]) {
              continue;
            }
            tmp_members[(circles[member.second].x >> scaler) & 1].emplace_back(member);
          }
          if (SZ(tmp_members[0])) {
            next_members_groups.emplace_back(tmp_members[0]);
          }
          if (SZ(tmp_members[1])) {
            next_members_groups.emplace_back(tmp_members[1]);
          }
        }

        members_groups.swap(next_members_groups);
      }

      for (auto it_members_groups = lower_bound(ALL(members_groups), (circles[idx_circle].x >> scaler) - 2, [&](vec<pair<int, int>, 1> i, int j) { return (circles[i[0].second].x >> scaler) < j; }); it_members_groups != members_groups.end() && (circles[(*it_members_groups)[0].second].x >> scaler) <= (circles[idx_circle].x >> scaler) + 2; ++it_members_groups) {
        for (auto it_members = lower_bound(ALL(*it_members_groups), (circles[idx_circle].y >> scaler) - 2, [&](pair<int, int> i, int j) { return (i.first >> scaler) < j; });
        it_members != it_members_groups->end() && (it_members->first >> scaler) <= (circles[idx_circle].y >> scaler) + 2; ++it_members) {
          if (!deleted[it_members->second] && circles[idx_circle].CheckIntersection(circles[it_members->second])) {
            deleted[it_members->second] = true;
            answers[it_members->second] = idx_circle;
          }
        }
      }
    }
  }

  for (auto& answer : answers) {
    cout << answer + 1 << ' ';
  }
  cout << '\n';

  return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 416 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 4 ms 768 KB Output is correct
20 Correct 4 ms 768 KB Output is correct
21 Correct 4 ms 768 KB Output is correct
22 Correct 10 ms 896 KB Output is correct
23 Correct 11 ms 768 KB Output is correct
24 Correct 11 ms 1020 KB Output is correct
25 Correct 13 ms 1260 KB Output is correct
26 Correct 10 ms 1024 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 211 ms 17132 KB Output is correct
2 Correct 206 ms 17356 KB Output is correct
3 Correct 209 ms 22300 KB Output is correct
4 Correct 200 ms 21564 KB Output is correct
5 Correct 348 ms 20804 KB Output is correct
6 Correct 711 ms 26784 KB Output is correct
7 Correct 383 ms 21860 KB Output is correct
8 Correct 544 ms 21452 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 244 ms 8052 KB Output is correct
3 Correct 1025 ms 20680 KB Output is correct
4 Correct 1130 ms 22596 KB Output is correct
5 Correct 850 ms 19308 KB Output is correct
6 Correct 314 ms 12456 KB Output is correct
7 Correct 149 ms 6968 KB Output is correct
8 Correct 30 ms 2164 KB Output is correct
9 Correct 1020 ms 22064 KB Output is correct
10 Correct 892 ms 19008 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 978 ms 19608 KB Output is correct
2 Correct 1859 ms 57744 KB Output is correct
3 Correct 421 ms 17996 KB Output is correct
4 Correct 1676 ms 52520 KB Output is correct
5 Correct 1818 ms 53408 KB Output is correct
6 Correct 390 ms 26060 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 416 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 4 ms 768 KB Output is correct
20 Correct 4 ms 768 KB Output is correct
21 Correct 4 ms 768 KB Output is correct
22 Correct 10 ms 896 KB Output is correct
23 Correct 11 ms 768 KB Output is correct
24 Correct 11 ms 1020 KB Output is correct
25 Correct 13 ms 1260 KB Output is correct
26 Correct 10 ms 1024 KB Output is correct
27 Correct 8 ms 1152 KB Output is correct
28 Correct 8 ms 1280 KB Output is correct
29 Correct 10 ms 1200 KB Output is correct
30 Correct 19 ms 1308 KB Output is correct
31 Correct 20 ms 1596 KB Output is correct
32 Correct 22 ms 1676 KB Output is correct
33 Correct 88 ms 7920 KB Output is correct
34 Correct 84 ms 7920 KB Output is correct
35 Correct 92 ms 8768 KB Output is correct
36 Correct 274 ms 11192 KB Output is correct
37 Correct 279 ms 10420 KB Output is correct
38 Correct 246 ms 9396 KB Output is correct
39 Correct 322 ms 7072 KB Output is correct
40 Correct 313 ms 7096 KB Output is correct
41 Correct 309 ms 6836 KB Output is correct
42 Correct 190 ms 7544 KB Output is correct
43 Correct 314 ms 19044 KB Output is correct
44 Correct 307 ms 17528 KB Output is correct
45 Correct 322 ms 19136 KB Output is correct
46 Correct 295 ms 19072 KB Output is correct
47 Correct 302 ms 19068 KB Output is correct
48 Correct 354 ms 19064 KB Output is correct
49 Correct 352 ms 19064 KB Output is correct
50 Correct 400 ms 19060 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 416 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 1 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 4 ms 768 KB Output is correct
20 Correct 4 ms 768 KB Output is correct
21 Correct 4 ms 768 KB Output is correct
22 Correct 10 ms 896 KB Output is correct
23 Correct 11 ms 768 KB Output is correct
24 Correct 11 ms 1020 KB Output is correct
25 Correct 13 ms 1260 KB Output is correct
26 Correct 10 ms 1024 KB Output is correct
27 Correct 211 ms 17132 KB Output is correct
28 Correct 206 ms 17356 KB Output is correct
29 Correct 209 ms 22300 KB Output is correct
30 Correct 200 ms 21564 KB Output is correct
31 Correct 348 ms 20804 KB Output is correct
32 Correct 711 ms 26784 KB Output is correct
33 Correct 383 ms 21860 KB Output is correct
34 Correct 544 ms 21452 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 244 ms 8052 KB Output is correct
37 Correct 1025 ms 20680 KB Output is correct
38 Correct 1130 ms 22596 KB Output is correct
39 Correct 850 ms 19308 KB Output is correct
40 Correct 314 ms 12456 KB Output is correct
41 Correct 149 ms 6968 KB Output is correct
42 Correct 30 ms 2164 KB Output is correct
43 Correct 1020 ms 22064 KB Output is correct
44 Correct 892 ms 19008 KB Output is correct
45 Correct 978 ms 19608 KB Output is correct
46 Correct 1859 ms 57744 KB Output is correct
47 Correct 421 ms 17996 KB Output is correct
48 Correct 1676 ms 52520 KB Output is correct
49 Correct 1818 ms 53408 KB Output is correct
50 Correct 390 ms 26060 KB Output is correct
51 Correct 8 ms 1152 KB Output is correct
52 Correct 8 ms 1280 KB Output is correct
53 Correct 10 ms 1200 KB Output is correct
54 Correct 19 ms 1308 KB Output is correct
55 Correct 20 ms 1596 KB Output is correct
56 Correct 22 ms 1676 KB Output is correct
57 Correct 88 ms 7920 KB Output is correct
58 Correct 84 ms 7920 KB Output is correct
59 Correct 92 ms 8768 KB Output is correct
60 Correct 274 ms 11192 KB Output is correct
61 Correct 279 ms 10420 KB Output is correct
62 Correct 246 ms 9396 KB Output is correct
63 Correct 322 ms 7072 KB Output is correct
64 Correct 313 ms 7096 KB Output is correct
65 Correct 309 ms 6836 KB Output is correct
66 Correct 190 ms 7544 KB Output is correct
67 Correct 314 ms 19044 KB Output is correct
68 Correct 307 ms 17528 KB Output is correct
69 Correct 322 ms 19136 KB Output is correct
70 Correct 295 ms 19072 KB Output is correct
71 Correct 302 ms 19068 KB Output is correct
72 Correct 354 ms 19064 KB Output is correct
73 Correct 352 ms 19064 KB Output is correct
74 Correct 400 ms 19060 KB Output is correct
75 Correct 296 ms 24116 KB Output is correct
76 Correct 301 ms 23824 KB Output is correct
77 Correct 348 ms 26188 KB Output is correct
78 Correct 289 ms 23728 KB Output is correct
79 Correct 413 ms 23932 KB Output is correct
80 Correct 321 ms 23780 KB Output is correct
81 Correct 1108 ms 26640 KB Output is correct
82 Correct 1226 ms 26748 KB Output is correct
83 Correct 1139 ms 26308 KB Output is correct
84 Correct 984 ms 25760 KB Output is correct
85 Correct 1060 ms 26648 KB Output is correct
86 Correct 1177 ms 28220 KB Output is correct
87 Correct 1374 ms 23676 KB Output is correct
88 Correct 1422 ms 20760 KB Output is correct
89 Correct 1331 ms 18764 KB Output is correct
90 Correct 1596 ms 21088 KB Output is correct
91 Correct 1365 ms 20992 KB Output is correct
92 Correct 1382 ms 19432 KB Output is correct
93 Correct 1769 ms 53944 KB Output is correct
94 Execution timed out 3069 ms 22844 KB Time limit exceeded
95 Halted 0 ms 0 KB -