oj.uz

Submission #956769

# Submission time Handle Problem Language Result Execution time Memory
956769 2024-04-02T12:55:33 Z chrisvilches Dragon 2 (JOI17_dragon2) C++14
100 / 100
 737 ms 28176 KB 
#include <bits/stdc++.h>
using namespace std;

struct Point {
  int x, y, idx, 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}; }
  long long cross(const Point p) const { return x * (long long)p.y - y * (long long)p.x; }
  Point negate() const { return {-x, -y, idx, tribe}; }
};

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

  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;
  }
};

BIT<int, 30'001> bit;
Point A, B;
vector<unordered_map<int, int>> ans;
vector<vector<Point>> tribe_points, order_by_b;

bool above(const Point p) { return B.cross(p) > 0; }

Point to_upper(const Point p) { return above(p) ? p : p.negate(); }

bool operator<(const Point p, const Point q) {
  return to_upper(p).cross(to_upper(q)) > 0;
}

bool cmp_by_b(const Point p, const Point q) {
  const bool a1 = above(p);
  const bool a2 = above(q);
  if (a1 != a2) return a1;
  return p.cross(q) > 0;
}

// TODO: Make sure the namings make sense. How queries work is a bit confusing.
void query_attacked(const vector<Point>& attacked, const int attacker_idx) {
  const vector<Point>& attackers = tribe_points[attacker_idx];
  const vector<Point>& ord = order_by_b[attacker_idx];

  bit.clear(attackers.size());

  int j = 0;

  for (const Point p : attacked) {
    int total = 0;

    while (j < (int)attackers.size() && attackers[j] < p) {
      bit.add(attackers[j].idx, 1);
      j++;
    }

    const auto mid = lower_bound(ord.begin(), ord.end(), B.negate(), cmp_by_b);

    if (above(p)) {
      const int a = lower_bound(ord.begin(), mid, p - B, cmp_by_b) - ord.begin();
      const auto it = lower_bound(mid, ord.end(), B - p, cmp_by_b);

      total += a - bit.sum(0, a - 1);
      total += it - mid;
      total -= bit.sum(mid - ord.begin(), it - ord.begin() - 1);

    } else {
      const int a = lower_bound(ord.begin(), ord.end(), p - B, cmp_by_b) - ord.begin();
      const int b = lower_bound(ord.begin(), mid, B - p, cmp_by_b) - ord.begin();

      total += bit.sum(a, ord.size() - 1);
      total += bit.sum(b, mid - ord.begin() - 1);
    }

    ans[attacker_idx][p.tribe] += total;
  }
}

void query_attacks(const vector<Point>& attackers, const int attacked_idx) {
  const vector<Point>& attacked = tribe_points[attacked_idx];
  const vector<Point>& ord = order_by_b[attacked_idx];

  bit.clear(attacked.size());

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

  int j = 0;

  for (const Point p : attackers) {
    while (j < (int)attacked.size() && attacked[j] < p) {
      const Point q = attacked[j];
      bit.add(q.idx, above(q) ? 1 : -1);
      j++;
    }

    const Point v = above(p) ? p - B : B - p;

    const int a = lower_bound(ord.begin(), ord.end(), v, cmp_by_b) - ord.begin();
    const int b = lower_bound(ord.begin(), ord.end(), v.negate(), cmp_by_b) - ord.begin();

    ans[p.tribe][attacked_idx] += bit.sum(a, b - 1);
  }
}

void handle_all_queries(const map<int, set<int>>& attacks,
                        const map<int, set<int>>& attacked) {
  vector<tuple<long long, int, bool>> queries;

  for (const auto& [tribe_idx, other] : attacks) {
    const long long weight = /*tribe_points[tribe_idx].size() **/ other.size();
    queries.emplace_back(weight, tribe_idx, true);
  }

  for (const auto& [tribe_idx, other] : attacked) {
    const long long weight = /*tribe_points[tribe_idx].size() **/ other.size();
    queries.emplace_back(weight, tribe_idx, false);
  }

  sort(queries.rbegin(), queries.rend());

  for (const auto& [_, tribe_idx, is_attack] : queries) {
    vector<Point> all_points;

    const auto& other_tribes = (is_attack ? attacks : attacked).at(tribe_idx);

    for (const int other_tribe_idx : other_tribes) {
      int i = tribe_idx, j = other_tribe_idx;
      if (!is_attack) swap(i, j);

      if (ans[i].count(j)) continue;

      for (const Point p : tribe_points[other_tribe_idx]) {
        all_points.emplace_back(p);
      }

      ans[i][j] = 0;
    }

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

    // TODO: This is weird. Shouldn't it be is_attack -> query_attacks ????
    if (is_attack) {
      query_attacked(all_points, tribe_idx);
    } else {
      query_attacks(all_points, tribe_idx);
    }
  }
}

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

  while (cin >> N >> M) {
    tribe_points.assign(M + 1, vector<Point>());
    order_by_b.assign(M + 1, vector<Point>());
    ans.assign(M + 1, unordered_map<int, int>());

    for (int i = 0; i < N; i++) {
      Point p;
      cin >> p.x >> p.y >> p.tribe;
      tribe_points[p.tribe].push_back(p);
    }

    cin >> A.x >> A.y >> B.x >> B.y;
    cin >> Q;
    B = B - A;

    for (int m = 0; m <= M; m++) {
      auto& points = tribe_points[m];
      for (auto& p : points) p = p - A;
      for (auto& p : points) p = p - B;
      sort(points.begin(), points.end(), cmp_by_b);
      for (int i = 0; i < (int)points.size(); i++) points[i].idx = i;
      auto& b = order_by_b[m];
      b = points;
      for (auto& p : points) p = p + B;
      sort(points.begin(), points.end());
    }

    map<int, set<int>> attacks, attacked;
    vector<pair<int, int>> query_original_order;

    while (Q--) {
      int i, j;
      cin >> i >> j;
      attacks[i].emplace(j);
      attacked[j].emplace(i);
      query_original_order.emplace_back(i, j);
    }

    handle_all_queries(attacks, attacked);

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

Compilation message

dragon2.cpp: In function 'void handle_all_queries(const std::map<int, std::set<int> >&, const std::map<int, std::set<int> >&)':
dragon2.cpp:123:20: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  123 |   for (const auto& [tribe_idx, other] : attacks) {
      |                    ^
dragon2.cpp:128:20: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  128 |   for (const auto& [tribe_idx, other] : attacked) {
      |                    ^
dragon2.cpp:135:20: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  135 |   for (const auto& [_, tribe_idx, is_attack] : queries) {
      |                    ^
dragon2.cpp: In function 'int main()':
dragon2.cpp:209:22: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  209 |     for (const auto& [i, j] : query_original_order) {
      |                      ^

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 604 KB Output is correct
2 Correct 5 ms 736 KB Output is correct
3 Correct 32 ms 1280 KB Output is correct
4 Correct 173 ms 15300 KB Output is correct
5 Correct 127 ms 16328 KB Output is correct
6 Correct 4 ms 1624 KB Output is correct
7 Correct 3 ms 1628 KB Output is correct
8 Correct 2 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 1816 KB Output is correct
2 Correct 56 ms 2168 KB Output is correct
3 Correct 20 ms 1880 KB Output is correct
4 Correct 12 ms 1628 KB Output is correct
5 Correct 14 ms 4952 KB Output is correct
6 Correct 15 ms 1748 KB Output is correct
7 Correct 14 ms 1752 KB Output is correct
8 Correct 16 ms 1752 KB Output is correct
9 Correct 11 ms 1756 KB Output is correct
10 Correct 11 ms 1748 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 604 KB Output is correct
2 Correct 5 ms 736 KB Output is correct
3 Correct 32 ms 1280 KB Output is correct
4 Correct 173 ms 15300 KB Output is correct
5 Correct 127 ms 16328 KB Output is correct
6 Correct 4 ms 1624 KB Output is correct
7 Correct 3 ms 1628 KB Output is correct
8 Correct 2 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 19 ms 1816 KB Output is correct
12 Correct 56 ms 2168 KB Output is correct
13 Correct 20 ms 1880 KB Output is correct
14 Correct 12 ms 1628 KB Output is correct
15 Correct 14 ms 4952 KB Output is correct
16 Correct 15 ms 1748 KB Output is correct
17 Correct 14 ms 1752 KB Output is correct
18 Correct 16 ms 1752 KB Output is correct
19 Correct 11 ms 1756 KB Output is correct
20 Correct 11 ms 1748 KB Output is correct
21 Correct 19 ms 1948 KB Output is correct
22 Correct 58 ms 2168 KB Output is correct
23 Correct 415 ms 3116 KB Output is correct
24 Correct 737 ms 16580 KB Output is correct
25 Correct 195 ms 19656 KB Output is correct
26 Correct 198 ms 27820 KB Output is correct
27 Correct 29 ms 12156 KB Output is correct
28 Correct 29 ms 12240 KB Output is correct
29 Correct 212 ms 27924 KB Output is correct
30 Correct 318 ms 26700 KB Output is correct
31 Correct 209 ms 27976 KB Output is correct
32 Correct 231 ms 27972 KB Output is correct
33 Correct 476 ms 26880 KB Output is correct
34 Correct 217 ms 27720 KB Output is correct
35 Correct 234 ms 28176 KB Output is correct
36 Correct 186 ms 27016 KB Output is correct
37 Correct 195 ms 27804 KB Output is correct
38 Correct 491 ms 27328 KB Output is correct
39 Correct 519 ms 27052 KB Output is correct
40 Correct 502 ms 26944 KB Output is correct
41 Correct 210 ms 27480 KB Output is correct
42 Correct 220 ms 27552 KB Output is correct
43 Correct 240 ms 27464 KB Output is correct
44 Correct 32 ms 7128 KB Output is correct
45 Correct 33 ms 7116 KB Output is correct
46 Correct 31 ms 7044 KB Output is correct
47 Correct 30 ms 8656 KB Output is correct
48 Correct 31 ms 8652 KB Output is correct
49 Correct 37 ms 8456 KB Output is correct