제출 #955918

#제출 시각아이디문제언어결과실행 시간메모리
955918chrisvilchesDragon 2 (JOI17_dragon2)C++14
100 / 100
2828 ms3664 KiB
#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, -1};
    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, idx}; }
};

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(Point p, Point q) {
//   p.x -= Bx;
//   q.x -= Bx;
//   p.y -= By;
//   q.y -= By;
//   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, cmp_by_b);
//     const auto it2 = lower_bound(ord_b.begin(), ord_b.end(), to_point, 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;
    // }

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

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

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

    // 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 (false && (tribe_points[i].size() > 1000 || tribe_points[j].size() > 1000)) {
      //   const int ans =
      //       handle_query(tribe_points.at(i), tribe_points.at(j), order_by_b.at(j), B);
      //   memo[{i, j}] = ans;
      //   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';
    }
    // }
  }
}
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