oj.uz

Submission #955829

# Submission time Handle Problem Language Result Execution time Memory
955829 2024-03-31T13:52:47 Z chrisvilches Dragon 2 (JOI17_dragon2) C++14
60 / 100
 4000 ms 10000 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;

// TODO: New index category: point inside polygon (log N), and polygon tangent.

ll Bx, By;

struct Point {
  ll x, y;
  Point operator-(const Point p) const { return {x - p.x, y - p.y}; }
  Point operator+(const Point p) const { return {x + p.x, y + p.y}; }
  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 {
    const Point B{Bx, By};
    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}; }
};

template <class T, unsigned int N>
struct BIT {
  void clear(const int n) { fill(bit, bit + n, 0); }

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

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

 private:
  T bit[N];

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

ostream& operator<<(ostream& os, const Point& p) {
  return os << "(" << p.x << ", " << p.y << ")";
}

short orientation(const Point o, const Point a, const Point b) {
  const ll cross = (a - o).cross(b - o);
  assert(cross != 0);
  return (cross > 0) - (cross < 0);
}

map<int, vector<Point>> ordered_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;
}

map<pair<ll, ll>, int> point_idx;

int get_point_idx(const Point p) {
  const pair<ll, ll> val{p.x, p.y};
  return point_idx.at(val);
}

BIT<int, 100000> active;

int handle_query(const vector<Point>& points1, const vector<Point>& points2,
                 const vector<Point>& points2_sorted_by_b, const Point B) {
  active.clear(points2.size());

  for (const auto q : points2) {
    if (!q.above()) {
      const int idx = get_point_idx(q);
      active.add(idx, 1);
    }
  }

  int total = 0;

  int j = 0;
  for (const Point p : points1) {
    while (j < (int)points2.size()) {
      const Point q = points2[j];
      const int idx = get_point_idx(q);

      if (q.to_upper().cross(p.to_upper()) < 0) {
        break;
      }
      if (q.above()) {
        // assert(!active[idx]);
        // active[idx] = 1;
        active.add(idx, 1);
        // assert(active[idx]);
      } else {
        // assert(active[idx]);
        // active[idx] = 0;
        // assert(active.sum == 1);
        active.add(idx, -1);
        // assert(!active[idx]);
      }
      j++;
    }

    Point from_point = p;
    Point to_point = B + (p - B).negate();

    if (!p.above()) swap(from_point, to_point);
    const auto it1 = lower_bound(points2_sorted_by_b.begin(), points2_sorted_by_b.end(),
                                 from_point, cmp_by_b);

    const auto it2 = lower_bound(points2_sorted_by_b.begin(), points2_sorted_by_b.end(),
                                 to_point, cmp_by_b);

    const int from = it1 - points2_sorted_by_b.begin();
    const int to = it2 - points2_sorted_by_b.begin();

    total += active.sum(from, to - 1);

    // for (int i = from; i < to; i++) {
    //   const Point q = points2_sorted_by_b[i];
    //   const int idx = get_point_idx(q);
    //   total += active.sum(i, i);
    //   // total += active[idx];
    // }
  }

  return total;
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  int N, M, Q;

  // BIT<int, 100000> bit;

  // bit.add(3, 1);
  // bit.add(4, 1);
  // bit.add(9, 1);
  // cerr << bit.sum(2, 6) << endl;
  // assert(bit.sum(2, 6) == 2);
  // assert(bit.sum(2, 11) == 3);
  // bit.add(9, -1);
  // assert(bit.sum(2, 11) == 2);

  while (cin >> N >> M) {
    vector<Point> points;
    unordered_map<int, vector<Point>> tribe_points;
    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;
    const Point B{Bx, By};

    for (auto& [_, points] : tribe_points) {
      for (auto& p : points) {
        p = p - A;
      }

      sort(points.begin(), points.end());
    }

    for (auto [tribe_idx, points] : tribe_points) {
      sort(points.begin(), points.end(), cmp_by_b);

      for (int i = 0; i < (int)points.size(); i++) {
        const pair<ll, ll> val{points[i].x, points[i].y};
        point_idx[val] = i;
      }

      ordered_by_b[tribe_idx] = points;
    }

    while (Q--) {
      int i, j;
      cin >> i >> j;
      cout << handle_query(tribe_points[i], tribe_points[j], ordered_by_b[j], B) << '\n';
    }
  }
}

Compilation message

dragon2.cpp: In function 'int main()':
dragon2.cpp:175:16: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  175 |     for (auto& [_, points] : tribe_points) {
      |                ^
dragon2.cpp:183:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  183 |     for (auto [tribe_idx, points] : tribe_points) {
      |               ^

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 604 KB Output is correct
2 Correct 6 ms 828 KB Output is correct
3 Correct 46 ms 604 KB Output is correct
4 Correct 102 ms 1104 KB Output is correct
5 Correct 46 ms 1372 KB Output is correct
6 Correct 3 ms 1116 KB Output is correct
7 Correct 3 ms 1116 KB Output is correct
8 Correct 2 ms 604 KB Output is correct
9 Correct 2 ms 600 KB Output is correct
10 Correct 2 ms 600 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 3552 KB Output is correct
2 Correct 95 ms 4124 KB Output is correct
3 Correct 33 ms 4184 KB Output is correct
4 Correct 21 ms 4188 KB Output is correct
5 Correct 26 ms 7112 KB Output is correct
6 Correct 23 ms 4056 KB Output is correct
7 Correct 25 ms 4188 KB Output is correct
8 Correct 23 ms 4056 KB Output is correct
9 Correct 16 ms 3952 KB Output is correct
10 Correct 16 ms 3904 KB Output is correct

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 604 KB Output is correct
2 Correct 6 ms 828 KB Output is correct
3 Correct 46 ms 604 KB Output is correct
4 Correct 102 ms 1104 KB Output is correct
5 Correct 46 ms 1372 KB Output is correct
6 Correct 3 ms 1116 KB Output is correct
7 Correct 3 ms 1116 KB Output is correct
8 Correct 2 ms 604 KB Output is correct
9 Correct 2 ms 600 KB Output is correct
10 Correct 2 ms 600 KB Output is correct
11 Correct 29 ms 3552 KB Output is correct
12 Correct 95 ms 4124 KB Output is correct
13 Correct 33 ms 4184 KB Output is correct
14 Correct 21 ms 4188 KB Output is correct
15 Correct 26 ms 7112 KB Output is correct
16 Correct 23 ms 4056 KB Output is correct
17 Correct 25 ms 4188 KB Output is correct
18 Correct 23 ms 4056 KB Output is correct
19 Correct 16 ms 3952 KB Output is correct
20 Correct 16 ms 3904 KB Output is correct
21 Correct 28 ms 4292 KB Output is correct
22 Correct 99 ms 3948 KB Output is correct
23 Correct 712 ms 4440 KB Output is correct
24 Correct 1278 ms 5568 KB Output is correct
25 Correct 159 ms 6972 KB Output is correct
26 Correct 102 ms 10000 KB Output is correct
27 Correct 33 ms 9132 KB Output is correct
28 Correct 31 ms 9300 KB Output is correct
29 Execution timed out 4025 ms 6860 KB Time limit exceeded
30 Halted 0 ms 0 KB -