Submission #54912

# Submission time Handle Problem Language Result Execution time Memory
54912 2018-07-05T10:53:13 Z jklepec Printed Circuit Board (CEOI12_circuit) C++11
65 / 100
100 ms 32944 KB
#include <bits/stdc++.h>
using namespace std;

#define FOR(i, a, b) for(int i = a; i < b; ++i)
#define REP(i, n) FOR(i, 0, n)
#define _ << " " <<
#define sz(x) ((int) x.size())

typedef long double lf;
typedef long long ll;
typedef pair<int, int> point;

const int MAXN = 1e5 + 5, inf = 1e9;
const lf eps = 1e-9;

int x[MAXN], y[MAXN];

lf K;

lf kk(int X, int Y) {
  return (lf) Y / X;
}

struct duz {
  lf k, l;
  lf lo, hi;
  bool usp;

  duz() {}
  duz(int i, int j) {
    lo = kk(x[i], y[i]);
    hi = kk(x[j], y[j]);

    if(lo > hi) swap(lo, hi);

    if(x[i] == x[j]) {
      usp = true;
      k = x[i];
    }
    else {
      k = (lf) (y[i] - y[j]) / (x[i] - x[j]);
      l = (lf) y[i] - k * x[i];
      usp = false;
    }
  }

  friend bool operator < (const duz &A, const duz &B);
} line[MAXN];

lf calc(duz A) {
  if(A.usp) return A.k;
  return A.l / (K - A.k);
}

bool operator < (const duz &A, const duz &B) {

  lf x1 = calc(A), x2 = calc(B);
//
//  if(x1 == x2 && A.lo == K && B.lo == K) {
//    K += eps;
//    x1 = calc(A);
//    x2 = calc(B);
//    K -= eps;
//  }
//  else {
//    K -= eps;
//    x1 = calc(A);
//    x2 = calc(B);
//    K += eps;
//  }

  return x1 < x2;
}

vector<pair<lf, point> > e;

void add(int i, int j) {
  line[i] = duz(i, j);

  lf k1 = kk(x[i], y[i]);
  lf k2 = kk(x[j], y[j]);

  if(k1 > k2) swap(k1, k2);

  if(k1 == k2) return;

  e.push_back({k1 + eps, {0, i}});
  e.push_back({k2 - eps, {2, i}});
}

multiset<duz> s;
unordered_map<lf, int> m;

int main() {
  ios_base::sync_with_stdio(false); cin.tie(0);

  int n; cin >> n;
  REP(i, n) {
    cin >> x[i] >> y[i];
    e.push_back({kk(x[i], y[i]), {1, i}});
    m[kk(x[i], y[i])] = max(m[kk(x[i], y[i])], inf - x[i]);
  }

  REP(i, n) {
    int j = (i + 1) % n;
    add(i, j);
  }

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

  vector<int> sol(n, 0);
  for(auto p: e) {
    K = p.first;
    if(p.second.first == 0) {
      s.insert(line[p.second.second]);
    }
    if(p.second.first == 1) {
      if(sz(s) == 0) continue;
      duz X = *s.begin();
      if(calc(X) < x[p.second.second]) {
        sol[p.second.second] = true;
      }
    }
    if(p.second.first == 2) {
      if(s.find(line[p.second.second]) == s.end()) continue;
      s.erase(s.lower_bound(line[p.second.second]));
    }
  }

  vector<int> ans;
  REP(i, n) {
    if(!sol[i] && m[kk(x[i], y[i])] == inf - x[i]) ans.push_back(i);
  }

  cout << sz(ans) << endl;
  for(auto xx: ans) {
    cout << xx + 1 << " ";
  }
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 4 ms 808 KB Output is correct
3 Correct 6 ms 1436 KB Output is correct
4 Correct 10 ms 1784 KB Output is correct
5 Correct 25 ms 3444 KB Output is correct
6 Correct 29 ms 3700 KB Output is correct
7 Correct 49 ms 6548 KB Output is correct
8 Correct 22 ms 6548 KB Output is correct
9 Correct 18 ms 6548 KB Output is correct
10 Correct 31 ms 6548 KB Output is correct
11 Correct 28 ms 6548 KB Output is correct
12 Correct 40 ms 6548 KB Output is correct
13 Incorrect 83 ms 9660 KB Output isn't correct
14 Correct 71 ms 11732 KB Output is correct
15 Execution timed out 123 ms 16752 KB Time limit exceeded
16 Execution timed out 290 ms 32944 KB Time limit exceeded
17 Execution timed out 352 ms 32944 KB Time limit exceeded
18 Runtime error 118 ms 32944 KB Execution killed with signal 11 (could be triggered by violating memory limits)
19 Runtime error 111 ms 32944 KB Execution killed with signal 11 (could be triggered by violating memory limits)
20 Runtime error 112 ms 32944 KB Execution killed with signal 11 (could be triggered by violating memory limits)