oj.uz

Submission #955948

# Submission time Handle Problem Language Result Execution time Memory
955948 2024-03-31T17:54:12 Z chrisvilches Dragon 2 (JOI17_dragon2) C++14
60 / 100
 4000 ms 5160 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;

  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 = 1;

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

      if (fast_queries--) {
        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 856 KB Output is correct
3 Correct 20 ms 688 KB Output is correct
4 Correct 40 ms 860 KB Output is correct
5 Correct 23 ms 860 KB Output is correct
6 Correct 2 ms 856 KB Output is correct
7 Correct 2 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 17 ms 2112 KB Output is correct
2 Correct 65 ms 2084 KB Output is correct
3 Correct 17 ms 2716 KB Output is correct
4 Correct 14 ms 2140 KB Output is correct
5 Correct 14 ms 4584 KB Output is correct
6 Correct 13 ms 2168 KB Output is correct
7 Correct 16 ms 2288 KB Output is correct
8 Correct 15 ms 1872 KB Output is correct
9 Correct 11 ms 1980 KB Output is correct
10 Correct 10 ms 1876 KB Output is correct

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 600 KB Output is correct
2 Correct 4 ms 856 KB Output is correct
3 Correct 20 ms 688 KB Output is correct
4 Correct 40 ms 860 KB Output is correct
5 Correct 23 ms 860 KB Output is correct
6 Correct 2 ms 856 KB Output is correct
7 Correct 2 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 17 ms 2112 KB Output is correct
12 Correct 65 ms 2084 KB Output is correct
13 Correct 17 ms 2716 KB Output is correct
14 Correct 14 ms 2140 KB Output is correct
15 Correct 14 ms 4584 KB Output is correct
16 Correct 13 ms 2168 KB Output is correct
17 Correct 16 ms 2288 KB Output is correct
18 Correct 15 ms 1872 KB Output is correct
19 Correct 11 ms 1980 KB Output is correct
20 Correct 10 ms 1876 KB Output is correct
21 Correct 17 ms 1876 KB Output is correct
22 Correct 65 ms 1880 KB Output is correct
23 Correct 285 ms 2520 KB Output is correct
24 Correct 418 ms 2600 KB Output is correct
25 Correct 54 ms 3164 KB Output is correct
26 Correct 39 ms 4788 KB Output is correct
27 Correct 16 ms 4792 KB Output is correct
28 Correct 16 ms 4624 KB Output is correct
29 Execution timed out 4054 ms 5160 KB Time limit exceeded
30 Halted 0 ms 0 KB -