oj.uz

Submission #955950

# Submission time Handle Problem Language Result Execution time Memory
955950 2024-03-31T17:58:32 Z chrisvilches Dragon 2 (JOI17_dragon2) C++14
100 / 100
 1783 ms 5040 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 = 1000;

    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 604 KB Output is correct
3 Correct 19 ms 604 KB Output is correct
4 Correct 25 ms 856 KB Output is correct
5 Correct 21 ms 1116 KB Output is correct
6 Correct 2 ms 1112 KB Output is correct
7 Correct 3 ms 860 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 16 ms 1860 KB Output is correct
2 Correct 42 ms 1884 KB Output is correct
3 Correct 17 ms 2396 KB Output is correct
4 Correct 11 ms 2140 KB Output is correct
5 Correct 13 ms 4792 KB Output is correct
6 Correct 14 ms 2224 KB Output is correct
7 Correct 13 ms 2168 KB Output is correct
8 Correct 14 ms 1876 KB Output is correct
9 Correct 10 ms 1880 KB Output is correct
10 Correct 10 ms 2044 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 604 KB Output is correct
3 Correct 19 ms 604 KB Output is correct
4 Correct 25 ms 856 KB Output is correct
5 Correct 21 ms 1116 KB Output is correct
6 Correct 2 ms 1112 KB Output is correct
7 Correct 3 ms 860 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 16 ms 1860 KB Output is correct
12 Correct 42 ms 1884 KB Output is correct
13 Correct 17 ms 2396 KB Output is correct
14 Correct 11 ms 2140 KB Output is correct
15 Correct 13 ms 4792 KB Output is correct
16 Correct 14 ms 2224 KB Output is correct
17 Correct 13 ms 2168 KB Output is correct
18 Correct 14 ms 1876 KB Output is correct
19 Correct 10 ms 1880 KB Output is correct
20 Correct 10 ms 2044 KB Output is correct
21 Correct 16 ms 1872 KB Output is correct
22 Correct 42 ms 1884 KB Output is correct
23 Correct 993 ms 2516 KB Output is correct
24 Correct 421 ms 2668 KB Output is correct
25 Correct 37 ms 3208 KB Output is correct
26 Correct 34 ms 4788 KB Output is correct
27 Correct 15 ms 4792 KB Output is correct
28 Correct 14 ms 4744 KB Output is correct
29 Correct 1783 ms 4848 KB Output is correct
30 Correct 47 ms 4752 KB Output is correct
31 Correct 33 ms 4756 KB Output is correct
32 Correct 46 ms 4792 KB Output is correct
33 Correct 384 ms 4896 KB Output is correct
34 Correct 33 ms 4792 KB Output is correct
35 Correct 32 ms 4788 KB Output is correct
36 Correct 33 ms 4792 KB Output is correct
37 Correct 34 ms 4792 KB Output is correct
38 Correct 625 ms 5040 KB Output is correct
39 Correct 552 ms 4932 KB Output is correct
40 Correct 416 ms 5036 KB Output is correct
41 Correct 1260 ms 4832 KB Output is correct
42 Correct 575 ms 5040 KB Output is correct
43 Correct 313 ms 4784 KB Output is correct
44 Correct 1186 ms 3620 KB Output is correct
45 Correct 583 ms 3392 KB Output is correct
46 Correct 349 ms 3352 KB Output is correct
47 Correct 777 ms 3616 KB Output is correct
48 Correct 588 ms 3404 KB Output is correct
49 Correct 311 ms 3416 KB Output is correct