oj.uz

Submission #955875

# Submission time Handle Problem Language Result Execution time Memory
955875 2024-03-31T15:56:09 Z chrisvilches Dragon 2 (JOI17_dragon2) C++14
60 / 100
 4000 ms 63568 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;

ll Bx, By;

map<pair<int, int>, int> ans;
set<pair<int, int>> queries;

struct Point {
  ll x, y;
  int idx;
  int tribe;
  Point operator-(const Point p) const { return {x - p.x, y - p.y, idx, tribe}; }
  Point operator+(const Point p) const { return {x + p.x, y + p.y, idx, tribe}; }
  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, -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, tribe}; }
};

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;
  }
};

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;
}

BIT<int, 30'001> active;

void handle_query(const vector<Point>& points1, const vector<Point>& points2,
                  const vector<Point>& ord_b, const int attacked_tribe_idx,
                  const Point B) {
  if (points1.empty() || points2.empty()) return;

  active.clear(points2.size());

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

  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;

      if (q.above()) {
        active.add(q.idx, 1);
      } else {
        active.add(q.idx, -1);
      }
      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(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();

    ans[{p.tribe, attacked_tribe_idx}] += active.sum(from, to - 1);
  }
}

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

  while (cin >> N >> M) {
    ans.clear();
    vector<Point> points;
    unordered_map<int, vector<Point>> tribe_points;
    for (int i = 0; i < N; i++) {
      Point p;
      cin >> p.x >> p.y >> p.tribe;
      tribe_points[p.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 (auto& [tribe_idx, points] : tribe_points) {
      sort(points.begin(), points.end(), cmp_by_b);
      for (int i = 0; i < (int)points.size(); i++) points[i].idx = i;
      order_by_b[tribe_idx] = points;
    }

    vector<Point> all;

    for (auto& [_, points] : tribe_points) {
      sort(points.begin(), points.end());
      for (const auto p : points) all.emplace_back(p);
    }

    sort(all.begin(), all.end());

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

    queries.clear();

    map<int, int> attacked;

    vector<pair<int, int>> queries_raw;

    while (Q--) {
      int i, j;
      cin >> i >> j;
      queries_raw.emplace_back(i, j);
      queries.emplace(i, j);
    }

    for (const auto& [_, j] : queries) attacked[j]++;

    set<int> solved_attacked;

    const int sqrtn = sqrt(M);

    for (int i = 0; i < N; i++) {
      if (attacked[i] > sqrtn) {
        handle_query(all, tribe_points[i], order_by_b[i], i, B);
        solved_attacked.emplace(i);
      }
    }

    for (const auto& [i, j] : queries) {
      if (solved_attacked.count(j)) continue;
      handle_query(tribe_points[i], tribe_points[j], order_by_b[j], j, B);
    }

    for (const auto& [i, j] : queries_raw) {
      cout << ans[{i, j}] << '\n';
    }
  }
}

Compilation message

dragon2.cpp: In function 'int main()':
dragon2.cpp:131:16: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  131 |     for (auto& [_, points] : tribe_points) {
      |                ^
dragon2.cpp:135:16: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  135 |     for (auto& [tribe_idx, points] : tribe_points) {
      |                ^
dragon2.cpp:143:16: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  143 |     for (auto& [_, points] : tribe_points) {
      |                ^
dragon2.cpp:165:22: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  165 |     for (const auto& [_, j] : queries) attacked[j]++;
      |                      ^
dragon2.cpp:178:22: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  178 |     for (const auto& [i, j] : queries) {
      |                      ^
dragon2.cpp:183:22: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  183 |     for (const auto& [i, j] : queries_raw) {
      |                      ^

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 856 KB Output is correct
2 Correct 6 ms 860 KB Output is correct
3 Correct 46 ms 1736 KB Output is correct
4 Correct 1008 ms 63568 KB Output is correct
5 Correct 101 ms 13244 KB Output is correct
6 Correct 3 ms 1372 KB Output is correct
7 Correct 3 ms 1372 KB Output is correct
8 Correct 2 ms 780 KB Output is correct
9 Correct 2 ms 604 KB Output is correct
10 Correct 2 ms 604 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 4028 KB Output is correct
2 Correct 90 ms 3960 KB Output is correct
3 Correct 26 ms 4308 KB Output is correct
4 Correct 20 ms 4312 KB Output is correct
5 Correct 27 ms 6348 KB Output is correct
6 Correct 22 ms 3828 KB Output is correct
7 Correct 22 ms 3824 KB Output is correct
8 Correct 22 ms 4052 KB Output is correct
9 Correct 16 ms 4056 KB Output is correct
10 Correct 15 ms 4000 KB Output is correct

Subtask #3
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 856 KB Output is correct
2 Correct 6 ms 860 KB Output is correct
3 Correct 46 ms 1736 KB Output is correct
4 Correct 1008 ms 63568 KB Output is correct
5 Correct 101 ms 13244 KB Output is correct
6 Correct 3 ms 1372 KB Output is correct
7 Correct 3 ms 1372 KB Output is correct
8 Correct 2 ms 780 KB Output is correct
9 Correct 2 ms 604 KB Output is correct
10 Correct 2 ms 604 KB Output is correct
11 Correct 25 ms 4028 KB Output is correct
12 Correct 90 ms 3960 KB Output is correct
13 Correct 26 ms 4308 KB Output is correct
14 Correct 20 ms 4312 KB Output is correct
15 Correct 27 ms 6348 KB Output is correct
16 Correct 22 ms 3828 KB Output is correct
17 Correct 22 ms 3824 KB Output is correct
18 Correct 22 ms 4052 KB Output is correct
19 Correct 16 ms 4056 KB Output is correct
20 Correct 15 ms 4000 KB Output is correct
21 Correct 24 ms 4048 KB Output is correct
22 Correct 83 ms 3948 KB Output is correct
23 Correct 593 ms 5228 KB Output is correct
24 Execution timed out 4054 ms 39132 KB Time limit exceeded
25 Halted 0 ms 0 KB -