oj.uz

Submission #567133

# Submission time Handle Problem Language Result Execution time Memory
567133 2022-05-23T08:20:23 Z 600Mihnea The Forest of Fangorn (CEOI14_fangorn) C++17
50 / 100
 3000 ms 1008 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef double ld;

struct Vector {
  ll x;
  ll y;
};

Vector operator + (Vector a, Vector b) {
  return { a.x + b.x, a.y + b.y };
}

Vector operator - (Vector a, Vector b) {
  return { a.x - b.x, a.y - b.y };
}

Vector operator * (Vector a, ll b) {
  return { a.x * b, a.y * b };
}


Vector operator * (ll b, Vector a) {
  return { a.x * b, a.y * b };
}


Vector readVector() {
  int x, y;
  cin >> x >> y;
  return { x, y };
}

const int N = 2000 + 7;
const int C = 10000 + 7;

int w, h;
int n, c;
int cnt_good[C];
Vector camps[C];
Vector trees[N];
Vector myself;


bool cmp(pair<Vector, int> a, pair<Vector, int> b) {
  return atan2((ld)a.first.y, (ld)a.first.x) < atan2((ld)b.first.y, (ld)b.first.x);
}

int get_type(Vector a) {

  if (a.x == w) return 0;
  if (a.y == h) return 1;
  if (a.x == 0) return 2;
  if (a.y == 0) return 3;
}

bool cmpOnRect(int i, int j) {
  Vector a = camps[i];
  Vector b = camps[j];

  int type_a = get_type(a);
  int type_b = get_type(b);
  if (type_a != type_b) return type_a < type_b;
  int type = type_a;

  if (type == 0) {
    return a.y < b.y;
  }
  if (type == 1) {
    return a.x > b.x;
  }
  if (type == 2) {
    return a.y > b.y;
  }
  if (type == 3) {
    return a.x < b.x;
  }
}

signed main() {
  ios::sync_with_stdio(0); cin.tie(0);

  cin >> w >> h;
  myself = readVector();

  vector<int> inds;

  cin >> c;
  for (int i = 1; i <= c; i++) {
    camps[i] = readVector();
    inds.push_back(i);
  }
  sort(inds.begin(), inds.end(), cmpOnRect);

  cin >> n;
  for (int i = 1; i <= n; i++) {
    trees[i] = readVector();
  }

  bool is = (n >= 10000);

  for (int tid = 1; tid <= n; tid++) {
    Vector origin = trees[tid];
    vector<pair<Vector, int>> events;
    for (int i = 1; i <= n; i++) {
      if (i == tid) continue;
      Vector delta = trees[i] - origin;
      events.push_back({ {-delta.x,-delta.y}, -1 });
    }
    events.push_back({ myself - origin, 0 });


    if (is) {
      continue;
    }
    auto cop_events = events;

    ld minAng = (ld)1e18;
    int start = -1;

    for (int P = 0; P < c; P++) {
      int i = inds[P];
      Vector vec = camps[i] - origin;
      ld ang = atan2(vec.y, vec.x);
      if (ang < minAng) {
        minAng = ang;
        start = P;
      }
    }

    vector<pair<Vector, int>> cps;
    for (int l = 0; l < c; l++) {
      int i = inds[(start + l) % c];
      cps.push_back({ camps[i] - origin, i });
    }

    sort(cop_events.begin(), cop_events.end(), cmp);
    vector<pair<Vector, int>> so;

    int p1 = 0, p2 = 0;
    while (p1 < (int)cps.size() && p2 < (int)cop_events.size()) {
      if (cmp(cps[p1], cop_events[p2])) {
        so.push_back(cps[p1++]);
      }
      else {
        so.push_back(cop_events[p2++]);
      }
    }
    while (p1 < (int)cps.size()) {
      so.push_back(cps[p1++]);
    }

    while (p2 < (int)cop_events.size()) {
      so.push_back(cop_events[p2++]);
    }

    events = so;
    int p0 = 0;
    while (events[p0].second != 0) p0++;

    int l = p0, r = p0, sz = (int)events.size();

    while (events[(l + sz - 1) % sz].second != -1) l = (l + sz - 1) % sz;
    while (events[(r + 1) % sz].second != -1) r = (r + 1) % sz;

    for (int j = l; j != (r + 1) % sz; j = (j + 1) % sz) {
      if (events[j].second > 0) {
        cnt_good[events[j].second]++;
      }
    }
  }
  vector<int> sol;
  for (int i = 1; i <= c; i++) {
    if (cnt_good[i] == n) {
      sol.push_back(i);
    }
  }
  cout << (int)sol.size() << "\n";
  for (auto& i : sol) {
    cout << i << " ";
  }
  cout << "\n";
}

Compilation message

fangorn.cpp: In function 'int get_type(Vector)':
fangorn.cpp:58:1: warning: control reaches end of non-void function [-Wreturn-type]
   58 | }
      | ^
fangorn.cpp: In function 'bool cmpOnRect(int, int)':
fangorn.cpp:81:1: warning: control reaches end of non-void function [-Wreturn-type]
   81 | }
      | ^

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 4 ms 340 KB Output is correct
8 Correct 3 ms 340 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 2 ms 336 KB Output is correct
3 Correct 4 ms 348 KB Output is correct
4 Correct 4 ms 340 KB Output is correct
5 Correct 6 ms 340 KB Output is correct
6 Correct 14 ms 340 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 3 ms 340 KB Output is correct
10 Correct 22 ms 360 KB Output is correct
11 Correct 21 ms 364 KB Output is correct
12 Correct 34 ms 352 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 2 ms 212 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 854 ms 444 KB Output is correct
5 Correct 186 ms 376 KB Output is correct
6 Execution timed out 3059 ms 632 KB Time limit exceeded
7 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3057 ms 1008 KB Time limit exceeded
2 Halted 0 ms 0 KB -