oj.uz

Submission #955928

# Submission time Handle Problem Language Result Execution time Memory
955928 2024-03-31T17:36:14 Z chrisvilches Dragon 2 (JOI17_dragon2) C++14
100 / 100
 1723 ms 6324 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(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() > 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

# Verdict Execution time Memory Grader output
1 Correct 8 ms 604 KB Output is correct
2 Correct 13 ms 660 KB Output is correct
3 Correct 19 ms 648 KB Output is correct
4 Correct 26 ms 872 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 860 KB Output is correct
8 Correct 8 ms 604 KB Output is correct
9 Correct 6 ms 604 KB Output is correct
10 Correct 9 ms 612 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 581 ms 1860 KB Output is correct
2 Correct 1145 ms 2132 KB Output is correct
3 Correct 39 ms 2392 KB Output is correct
4 Correct 12 ms 2140 KB Output is correct
5 Correct 14 ms 4680 KB Output is correct
6 Correct 489 ms 2176 KB Output is correct
7 Correct 429 ms 2168 KB Output is correct
8 Correct 627 ms 1996 KB Output is correct
9 Correct 564 ms 1984 KB Output is correct
10 Correct 622 ms 1988 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 604 KB Output is correct
2 Correct 13 ms 660 KB Output is correct
3 Correct 19 ms 648 KB Output is correct
4 Correct 26 ms 872 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 860 KB Output is correct
8 Correct 8 ms 604 KB Output is correct
9 Correct 6 ms 604 KB Output is correct
10 Correct 9 ms 612 KB Output is correct
11 Correct 581 ms 1860 KB Output is correct
12 Correct 1145 ms 2132 KB Output is correct
13 Correct 39 ms 2392 KB Output is correct
14 Correct 12 ms 2140 KB Output is correct
15 Correct 14 ms 4680 KB Output is correct
16 Correct 489 ms 2176 KB Output is correct
17 Correct 429 ms 2168 KB Output is correct
18 Correct 627 ms 1996 KB Output is correct
19 Correct 564 ms 1984 KB Output is correct
20 Correct 622 ms 1988 KB Output is correct
21 Correct 577 ms 1992 KB Output is correct
22 Correct 1108 ms 2132 KB Output is correct
23 Correct 1179 ms 2504 KB Output is correct
24 Correct 442 ms 2640 KB Output is correct
25 Correct 38 ms 3164 KB Output is correct
26 Correct 35 ms 4792 KB Output is correct
27 Correct 15 ms 4588 KB Output is correct
28 Correct 15 ms 4788 KB Output is correct
29 Correct 1723 ms 5164 KB Output is correct
30 Correct 50 ms 5924 KB Output is correct
31 Correct 37 ms 6008 KB Output is correct
32 Correct 48 ms 6228 KB Output is correct
33 Correct 399 ms 6128 KB Output is correct
34 Correct 37 ms 6064 KB Output is correct
35 Correct 34 ms 6064 KB Output is correct
36 Correct 35 ms 6064 KB Output is correct
37 Correct 45 ms 6312 KB Output is correct
38 Correct 645 ms 6220 KB Output is correct
39 Correct 526 ms 5956 KB Output is correct
40 Correct 420 ms 6324 KB Output is correct
41 Correct 1505 ms 6060 KB Output is correct
42 Correct 964 ms 6100 KB Output is correct
43 Correct 841 ms 6064 KB Output is correct
44 Correct 995 ms 3956 KB Output is correct
45 Correct 514 ms 3936 KB Output is correct
46 Correct 301 ms 3940 KB Output is correct
47 Correct 665 ms 3736 KB Output is correct
48 Correct 538 ms 3716 KB Output is correct
49 Correct 267 ms 3924 KB Output is correct