oj.uz

Submission #955916

# Submission time Handle Problem Language Result Execution time Memory
955916 2024-03-31T17:22:16 Z chrisvilches Dragon 2 (JOI17_dragon2) C++14
60 / 100
 4000 ms 2416 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, -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};

    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]) {
            const short or1 = orientation(p, q, origin);
            const short or2 = orientation(p, q, B);

            if (or1 == or2) continue;

            if (orientation(origin, B, p) != orientation(origin, B, q)) {
              total++;
            } else 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 20 ms 348 KB Output is correct
2 Correct 29 ms 348 KB Output is correct
3 Correct 46 ms 348 KB Output is correct
4 Correct 158 ms 596 KB Output is correct
5 Correct 159 ms 948 KB Output is correct
6 Correct 6 ms 348 KB Output is correct
7 Correct 5 ms 348 KB Output is correct
8 Correct 10 ms 348 KB Output is correct
9 Correct 9 ms 348 KB Output is correct
10 Correct 10 ms 344 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 1905 ms 1260 KB Output is correct
2 Correct 3589 ms 1464 KB Output is correct
3 Correct 81 ms 1364 KB Output is correct
4 Correct 24 ms 1508 KB Output is correct
5 Correct 26 ms 1876 KB Output is correct
6 Correct 585 ms 1388 KB Output is correct
7 Correct 572 ms 1452 KB Output is correct
8 Correct 804 ms 1260 KB Output is correct
9 Correct 679 ms 1368 KB Output is correct
10 Correct 794 ms 1352 KB Output is correct

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 348 KB Output is correct
2 Correct 29 ms 348 KB Output is correct
3 Correct 46 ms 348 KB Output is correct
4 Correct 158 ms 596 KB Output is correct
5 Correct 159 ms 948 KB Output is correct
6 Correct 6 ms 348 KB Output is correct
7 Correct 5 ms 348 KB Output is correct
8 Correct 10 ms 348 KB Output is correct
9 Correct 9 ms 348 KB Output is correct
10 Correct 10 ms 344 KB Output is correct
11 Correct 1905 ms 1260 KB Output is correct
12 Correct 3589 ms 1464 KB Output is correct
13 Correct 81 ms 1364 KB Output is correct
14 Correct 24 ms 1508 KB Output is correct
15 Correct 26 ms 1876 KB Output is correct
16 Correct 585 ms 1388 KB Output is correct
17 Correct 572 ms 1452 KB Output is correct
18 Correct 804 ms 1260 KB Output is correct
19 Correct 679 ms 1368 KB Output is correct
20 Correct 794 ms 1352 KB Output is correct
21 Correct 1899 ms 1260 KB Output is correct
22 Correct 3623 ms 1508 KB Output is correct
23 Correct 2755 ms 2004 KB Output is correct
24 Correct 837 ms 2028 KB Output is correct
25 Correct 190 ms 1956 KB Output is correct
26 Correct 197 ms 2116 KB Output is correct
27 Correct 49 ms 1880 KB Output is correct
28 Correct 49 ms 1844 KB Output is correct
29 Execution timed out 4067 ms 2416 KB Time limit exceeded
30 Halted 0 ms 0 KB -