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Submission #955959

# Submission time Handle Problem Language Result Execution time Memory
955959 2024-03-31T18:09:31 Z chrisvilches Dragon 2 (JOI17_dragon2) C++14
100 / 100
 3837 ms 4808 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = int;

ll Bx, By;

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

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

short bit[30'001];
int bit_n = 30'001;

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

// TODO: Return should be int, not short.
int sum_single(int r) {
  int ret = 0;
  for (; r >= 0; r = (r & (r + 1)) - 1) ret += bit[r];
  return ret;
}

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

void add(int idx, const short delta) {
  for (; idx < bit_n; 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;

  bit_n = (int)points2.size();
  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;

  while (cin >> N >> M) {

    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 344 KB Output is correct
2 Correct 4 ms 348 KB Output is correct
3 Correct 22 ms 572 KB Output is correct
4 Correct 31 ms 792 KB Output is correct
5 Correct 22 ms 860 KB Output is correct
6 Correct 2 ms 860 KB Output is correct
7 Correct 2 ms 856 KB Output is correct
8 Correct 2 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 1172 KB Output is correct
2 Correct 46 ms 1116 KB Output is correct
3 Correct 17 ms 1372 KB Output is correct
4 Correct 10 ms 1372 KB Output is correct
5 Correct 14 ms 4024 KB Output is correct
6 Correct 13 ms 1136 KB Output is correct
7 Correct 14 ms 1244 KB Output is correct
8 Correct 14 ms 1244 KB Output is correct
9 Correct 9 ms 1244 KB Output is correct
10 Correct 11 ms 1212 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 344 KB Output is correct
2 Correct 4 ms 348 KB Output is correct
3 Correct 22 ms 572 KB Output is correct
4 Correct 31 ms 792 KB Output is correct
5 Correct 22 ms 860 KB Output is correct
6 Correct 2 ms 860 KB Output is correct
7 Correct 2 ms 856 KB Output is correct
8 Correct 2 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 19 ms 1172 KB Output is correct
12 Correct 46 ms 1116 KB Output is correct
13 Correct 17 ms 1372 KB Output is correct
14 Correct 10 ms 1372 KB Output is correct
15 Correct 14 ms 4024 KB Output is correct
16 Correct 13 ms 1136 KB Output is correct
17 Correct 14 ms 1244 KB Output is correct
18 Correct 14 ms 1244 KB Output is correct
19 Correct 9 ms 1244 KB Output is correct
20 Correct 11 ms 1212 KB Output is correct
21 Correct 17 ms 1244 KB Output is correct
22 Correct 42 ms 1116 KB Output is correct
23 Correct 270 ms 1616 KB Output is correct
24 Correct 418 ms 1628 KB Output is correct
25 Correct 50 ms 2384 KB Output is correct
26 Correct 38 ms 4276 KB Output is correct
27 Correct 15 ms 4788 KB Output is correct
28 Correct 16 ms 4792 KB Output is correct
29 Correct 3837 ms 4388 KB Output is correct
30 Correct 75 ms 4024 KB Output is correct
31 Correct 35 ms 4108 KB Output is correct
32 Correct 60 ms 4272 KB Output is correct
33 Correct 336 ms 4808 KB Output is correct
34 Correct 34 ms 4268 KB Output is correct
35 Correct 34 ms 4272 KB Output is correct
36 Correct 35 ms 4348 KB Output is correct
37 Correct 36 ms 4280 KB Output is correct
38 Correct 363 ms 4740 KB Output is correct
39 Correct 401 ms 4272 KB Output is correct
40 Correct 354 ms 4572 KB Output is correct
41 Correct 2739 ms 4512 KB Output is correct
42 Correct 939 ms 4168 KB Output is correct
43 Correct 523 ms 4148 KB Output is correct
44 Correct 3465 ms 2896 KB Output is correct
45 Correct 1762 ms 2704 KB Output is correct
46 Correct 1092 ms 2720 KB Output is correct
47 Correct 1542 ms 2712 KB Output is correct
48 Correct 1182 ms 2968 KB Output is correct
49 Correct 871 ms 2900 KB Output is correct