oj.uz

Submission #955953

# Submission time Handle Problem Language Result Execution time Memory
955953 2024-03-31T17:59:46 Z chrisvilches Dragon 2 (JOI17_dragon2) C++14
100 / 100
 3698 ms 5080 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;

ll Bx, By;

struct Point {
  ll x, y;
  int idx;
  Point operator-(const Point p) const { return {x - p.x, y - p.y, idx}; }
  Point operator+(const Point p) const { return {x + p.x, y + p.y, idx}; }
  ll cross(const Point p) const { return x * p.y - y * p.x; }
  bool operator<(const Point p) const { return to_upper().cross(p.to_upper()) > 0; }
  Point to_upper() const { return above() ? *this : negate(); }
  bool above() const {
    // TODO: Improve this
    const Point B{Bx, By, idx};
    return B.cross(*this) > 0;
  }
  ll operator*(const Point p) const { return x * p.x + y * p.y; }
  bool deg0(const Point p) const { return cross(p) == 0 && *this * p >= 0; }
  bool deg180(const Point p) const { return cross(p) == 0 && *this * p < 0; }
  Point negate() const { return {-x, -y, -1}; }
};

short sgn(const ll x) { return (x > 0) - (x < 0); }

short orientation(const Point& o, const Point& a, const Point& b) {
  // assert((a - o).cross(b - o) != 0);
  return sgn((a - o).cross(b - o));
}

short bit[30'001];

void clear(const int n) { memset(bit, 0, sizeof(short) * n); }

short sum_single(int r) {
  short ret = 0;
  for (; r >= 0; r = (r & (r + 1)) - 1) ret += bit[r];
  return ret;
}

short sum(int l, int r) { return sum_single(r) - sum_single(l - 1); }

void add(int idx, const short delta) {
  for (; idx < 30'001; idx = idx | (idx + 1)) bit[idx] += delta;
}

unordered_map<int, vector<Point>> order_by_b;

bool cmp_by_b(const Point& p, const Point& q) {
  const bool a1 = p.above();
  const bool a2 = q.above();
  if (a1 != a2) return a1;
  return p.cross(q) > 0;
}

int handle_query(const vector<Point>& points1, const vector<Point>& points2,
                 const vector<Point>& ord_b, const Point& B) {
  if (points1.empty() || points2.empty()) return 0;

  clear(points2.size());

  for (const auto& q : points2) {
    if (!q.above()) {
      add(q.idx, 1);
    }
  }

  int total = 0;

  int j = 0;
  for (const Point& p : points1) {
    while (j < (int)points2.size()) {
      const Point& q = points2[j];

      if (q.to_upper().cross(p.to_upper()) < 0) break;
      add(q.idx, q.above() ? 1 : -1);

      j++;
    }

    Point from_point = p;
    Point to_point = B + (p - B).negate();

    if (!p.above()) swap(from_point, to_point);

    // total += 1;
    // continue;

    const auto it1 = lower_bound(ord_b.begin(), ord_b.end(), from_point - B, cmp_by_b);
    const auto it2 = lower_bound(ord_b.begin(), ord_b.end(), to_point - B, cmp_by_b);

    const int from = it1 - ord_b.begin();
    const int to = it2 - ord_b.begin();

    total += sum(from, to - 1);
  }

  return total;
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  int N, M, Q;

  int t = 0;
  while (cin >> N >> M) {
    cerr << "--- " << (t++) << endl;
    vector<vector<Point>> tribe_points(M + 1);
    for (int i = 0; i < N; i++) {
      Point p;
      int tribe;
      cin >> p.x >> p.y >> tribe;
      tribe_points[tribe].push_back(p);
    }

    Point A;
    cin >> A.x >> A.y;
    cin >> Bx >> By;
    cin >> Q;

    Bx -= A.x;
    By -= A.y;

    for (auto& points : tribe_points) {
      for (auto& p : points) p = p - A;
    }

    const Point B{Bx, By, -1};

    for (int m = 0; m <= M; m++) {
      auto& points = tribe_points[m];

      for (auto& p : tribe_points.at(m)) p = p - B;
      sort(points.begin(), points.end(), cmp_by_b);
      for (int i = 0; i < (int)points.size(); i++) {
        points[i].idx = i;
      }
      order_by_b[m] = tribe_points.at(m);
      for (auto& p : tribe_points.at(m)) p = p + B;
    }

    for (auto& points : tribe_points) {
      sort(points.begin(), points.end());
    }

    const Point origin{0, 0, -1};

    int fast_queries = 50'000;

    while (Q--) {
      int i, j;
      cin >> i >> j;

      if (fast_queries-- > 0) {
        const int ans =
            handle_query(tribe_points.at(i), tribe_points.at(j), order_by_b.at(j), B);
        cout << ans << '\n';
      } else {
        int total = 0;
        for (const Point& p : tribe_points[i]) {
          for (const Point& q : tribe_points[j]) {
            if (orientation(origin, B, p) == 1) {
              if (orientation(B, p, q) == 1 && orientation(p, origin, q) == 1) total++;
            } else {
              if (orientation(origin, p, q) == 1 && orientation(p, B, q) == 1) total++;
            }
          }
        }
        cout << total << '\n';
      }
    }
  }
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 600 KB Output is correct
2 Correct 4 ms 600 KB Output is correct
3 Correct 20 ms 600 KB Output is correct
4 Correct 32 ms 860 KB Output is correct
5 Correct 22 ms 860 KB Output is correct
6 Correct 2 ms 1112 KB Output is correct
7 Correct 2 ms 856 KB Output is correct
8 Correct 2 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 1856 KB Output is correct
2 Correct 47 ms 1908 KB Output is correct
3 Correct 19 ms 2496 KB Output is correct
4 Correct 11 ms 2140 KB Output is correct
5 Correct 13 ms 4688 KB Output is correct
6 Correct 14 ms 2168 KB Output is correct
7 Correct 13 ms 2056 KB Output is correct
8 Correct 15 ms 1872 KB Output is correct
9 Correct 10 ms 2132 KB Output is correct
10 Correct 9 ms 1820 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 600 KB Output is correct
2 Correct 4 ms 600 KB Output is correct
3 Correct 20 ms 600 KB Output is correct
4 Correct 32 ms 860 KB Output is correct
5 Correct 22 ms 860 KB Output is correct
6 Correct 2 ms 1112 KB Output is correct
7 Correct 2 ms 856 KB Output is correct
8 Correct 2 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 17 ms 1856 KB Output is correct
12 Correct 47 ms 1908 KB Output is correct
13 Correct 19 ms 2496 KB Output is correct
14 Correct 11 ms 2140 KB Output is correct
15 Correct 13 ms 4688 KB Output is correct
16 Correct 14 ms 2168 KB Output is correct
17 Correct 13 ms 2056 KB Output is correct
18 Correct 15 ms 1872 KB Output is correct
19 Correct 10 ms 2132 KB Output is correct
20 Correct 9 ms 1820 KB Output is correct
21 Correct 16 ms 1872 KB Output is correct
22 Correct 42 ms 2036 KB Output is correct
23 Correct 279 ms 2532 KB Output is correct
24 Correct 419 ms 2576 KB Output is correct
25 Correct 47 ms 3188 KB Output is correct
26 Correct 36 ms 4884 KB Output is correct
27 Correct 15 ms 4792 KB Output is correct
28 Correct 15 ms 4792 KB Output is correct
29 Correct 3698 ms 4964 KB Output is correct
30 Correct 77 ms 4748 KB Output is correct
31 Correct 35 ms 4760 KB Output is correct
32 Correct 70 ms 4868 KB Output is correct
33 Correct 307 ms 5080 KB Output is correct
34 Correct 35 ms 4792 KB Output is correct
35 Correct 33 ms 4792 KB Output is correct
36 Correct 35 ms 4792 KB Output is correct
37 Correct 36 ms 4788 KB Output is correct
38 Correct 355 ms 4828 KB Output is correct
39 Correct 415 ms 4784 KB Output is correct
40 Correct 327 ms 5036 KB Output is correct
41 Correct 2641 ms 4844 KB Output is correct
42 Correct 917 ms 4860 KB Output is correct
43 Correct 512 ms 4892 KB Output is correct
44 Correct 3264 ms 3624 KB Output is correct
45 Correct 1694 ms 3640 KB Output is correct
46 Correct 1054 ms 3412 KB Output is correct
47 Correct 1669 ms 3480 KB Output is correct
48 Correct 1307 ms 3384 KB Output is correct
49 Correct 985 ms 3408 KB Output is correct