oj.uz

답안 #955936

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
955936 2024-03-31T17:43:55 Z chrisvilches Dragon 2 (JOI17_dragon2) C++14
60 / 100
 4000 ms 5076 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));
}

template <class T>
struct BIT {
  BIT(const int n) : n(n) { bit.assign(n, 0); }
  // void clear(const int n) { memset(bit, 0, n * sizeof(T)); }

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

  void add(int idx, const T delta) {
    for (; idx < n; idx = idx | (idx + 1)) bit[idx] += delta;
  }

 private:
  int n;
  vector<T> bit;

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

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<short> active(points2.size());

  for (const auto& q : points2) {
    if (!q.above()) {
      active.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;
      active.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 += active.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());
    }

    // map<pair<int, int>, int> memo;

    const Point origin{0, 0, -1};
    // const Point origin = A;

    while (Q--) {
      int i, j;
      cin >> i >> j;
      // if (memo.count({i, j})) {
      //   cout << memo.count({i, j}) << '\n';
      //   continue;
      // }

      if (true || (tribe_points[i].size() > 14900 || tribe_points[j].size() > 14900)) {
        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

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 600 KB Output is correct
2 Correct 4 ms 604 KB Output is correct
3 Correct 19 ms 668 KB Output is correct
4 Correct 61 ms 872 KB Output is correct
5 Correct 30 ms 860 KB Output is correct
6 Correct 3 ms 856 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 1 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

# 결과 실행 시간 메모리 Grader output
1 Correct 17 ms 1792 KB Output is correct
2 Correct 45 ms 2072 KB Output is correct
3 Correct 17 ms 2396 KB Output is correct
4 Correct 12 ms 2140 KB Output is correct
5 Correct 14 ms 4536 KB Output is correct
6 Correct 14 ms 2164 KB Output is correct
7 Correct 13 ms 2108 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 1824 KB Output is correct

Subtask #3
0 / 40.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 600 KB Output is correct
2 Correct 4 ms 604 KB Output is correct
3 Correct 19 ms 668 KB Output is correct
4 Correct 61 ms 872 KB Output is correct
5 Correct 30 ms 860 KB Output is correct
6 Correct 3 ms 856 KB Output is correct
7 Correct 2 ms 860 KB Output is correct
8 Correct 1 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 1792 KB Output is correct
12 Correct 45 ms 2072 KB Output is correct
13 Correct 17 ms 2396 KB Output is correct
14 Correct 12 ms 2140 KB Output is correct
15 Correct 14 ms 4536 KB Output is correct
16 Correct 14 ms 2164 KB Output is correct
17 Correct 13 ms 2108 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 1824 KB Output is correct
21 Correct 17 ms 1876 KB Output is correct
22 Correct 42 ms 2044 KB Output is correct
23 Correct 272 ms 2368 KB Output is correct
24 Correct 388 ms 2528 KB Output is correct
25 Correct 57 ms 3152 KB Output is correct
26 Correct 39 ms 4788 KB Output is correct
27 Correct 16 ms 4792 KB Output is correct
28 Correct 20 ms 5004 KB Output is correct
29 Execution timed out 4051 ms 5076 KB Time limit exceeded
30 Halted 0 ms 0 KB -