Submission #772190

# Submission time Handle Problem Language Result Execution time Memory
772190 2023-07-03T17:50:15 Z Sam_a17 Circle selection (APIO18_circle_selection) C++17
7 / 100
3000 ms 83728 KB
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include "temp.cpp"
#include <cstdio>
using namespace std;
 
#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif
 
#define sz(x) (int)x.size()
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) (x).clear()
#define uniq(x) x.resize(unique(all(x)) - x.begin());
#define blt __builtin_popcount
 
#define pb push_back
#define popf pop_front
#define popb pop_back
#define ld long double
#define ll long long
 
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(long double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
 
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'
 
// Indexed Set  
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
 
template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T, class V> void print(T v[],V n) {cerr << "["; for(int i = 0; i < n; i++) {print(v[i]); cerr << " "; } cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
// template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(Tree <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(deque <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
 
 
// for random generations
mt19937 myrand(chrono::steady_clock::now().time_since_epoch().count());
// mt19937 myrand(131);
 
// for grid problems
int dx[8] = {-1,0,1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};
 
// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
void setIO(string str = "") {
  fastIO();
 
  // if(str == "input") {
    // freopen("input.txt", "r", stdin);
    // freopen("output.txt", "w", stdout);
  // } else if(str != "") {
    // freopen((str + ".in").c_str(), "r", stdin);
    // freopen((str + ".out").c_str(), "w", stdout);
  // }
}

int n;

long long dist(pair<long long, long long> a, pair<long long, long long> b) {
  return abs(a.first - b.first) * abs(a.first - b.first) + abs(a.second - b.second) * abs(a.second - b.second);
}

struct node {
  long long x, y, r;
  int index;
};


void solve_() {
  cin >> n;

  vector<node> a;
  for(int i = 1; i <= n; i++) {
    long long x, y, r; cin >> x >> y >> r;
    a.push_back({x, y, r, i});
  }

  if (n <= 5000) {
    vector<bool> to_del(n + 1);
    vector<int> answ(n + 1);
    while(!a.empty()) {
      vector<node> new_a;
      
      int max_r = -1, ind = -1;
      for(auto i: a) {
        if(i.r > max_r) {
          max_r = i.r;
          ind = i.index;
        } else if(i.r == max_r) {
          ind = min(i.index, ind);
        }
      }

      long long xi = -1, yi = -1;
      for(auto i: a) {
        if(i.index == ind) {
          xi = i.x, yi = i.y;
        }
      }

      // vector<int> to_del;
      for(auto i: a) {
        if(i.index == ind) continue;
        long long rr = i.r + max_r;
        rr *= rr;

        if(rr >= dist(make_pair(xi, yi), make_pair(i.x, i.y))) {
          to_del[i.index] = true;
        }
      }

      to_del[ind] = true;
      for(auto i: a) {
        if(to_del[i.index]) {
          answ[i.index] = ind;
          continue;
        }
        new_a.push_back(i);
      }

      a.swap(new_a);
    }

    for(int i = 1; i <= n; i++) {
      cout << answ[i] << " ";
    }
    cout << '\n';
  }
  else {
    vector<int> compress;
    for(auto i: a) {
      compress.push_back(i.x);
      compress.push_back(i.x + i.r);
      compress.push_back(i.x - i.r);
    }

    sort(all(compress));
    uniq(compress);

    vector<int> l(n + 2), r(n + 2);
    for(auto i: a) {
      l[i.index] = lower_bound(all(compress), i.x - i.r) - compress.begin();
      r[i.index] = lower_bound(all(compress), i.x + i.r) - compress.begin();
    }

    multiset<pair<int, int>> mt;

    for(auto i: a) {
      int id = lower_bound(all(compress), i.r) - compress.begin();
      mt.insert({id, -i.index});
    }

    set<int> sti;
    for(int i = 0; i < sz(compress); i++) {
      sti.insert(i);
    }

    vector<int> answ(n + 1), ansi(sz(compress) + 2, 0);
    while(!mt.empty()) {
      auto it = *mt.rbegin();
      if(ansi[it.first]) {
        answ[-it.second] = ansi[it.first];
        mt.erase(prev(mt.end())); 
        continue;
      }

      answ[-it.second] = -it.second;
      
      int lx = l[-it.second], rx = r[-it.second];
      auto itr = sti.lower_bound(lx);

      vector<int> to_del;
      while(itr != sti.end() && *itr <= rx) {
        ansi[*itr] = -it.second;
        to_del.push_back(*itr);        
        itr = next(itr);
      }

      for(auto i: to_del) {
        sti.erase(i);
      }
    }

    for(int i = 1; i <= n; i++) {
      assert(answ[i]);
      cout << answ[i] << '\n';
    }
  }
}
 
int main() {
  setIO();
 
  auto solve = [&](int test_case)-> void {
    for(int i = 1; i <= test_case; i++) {
      solve_();
    }
  };
 
  int test_cases = 1;
  // cin >> test_cases;
  solve(test_cases);
 
  return 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 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 408 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 2 ms 600 KB Output is correct
20 Correct 2 ms 600 KB Output is correct
21 Correct 2 ms 724 KB Output is correct
22 Correct 68 ms 924 KB Output is correct
23 Correct 87 ms 924 KB Output is correct
24 Correct 68 ms 924 KB Output is correct
25 Correct 67 ms 924 KB Output is correct
26 Correct 72 ms 924 KB Output is correct
# Verdict Execution time Memory Grader output
1 Execution timed out 3071 ms 83728 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Execution timed out 3053 ms 25752 KB Time limit exceeded
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 3060 ms 76692 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# 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 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 408 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 2 ms 600 KB Output is correct
20 Correct 2 ms 600 KB Output is correct
21 Correct 2 ms 724 KB Output is correct
22 Correct 68 ms 924 KB Output is correct
23 Correct 87 ms 924 KB Output is correct
24 Correct 68 ms 924 KB Output is correct
25 Correct 67 ms 924 KB Output is correct
26 Correct 72 ms 924 KB Output is correct
27 Execution timed out 3079 ms 3028 KB Time limit exceeded
28 Halted 0 ms 0 KB -
# 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 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 408 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 2 ms 600 KB Output is correct
20 Correct 2 ms 600 KB Output is correct
21 Correct 2 ms 724 KB Output is correct
22 Correct 68 ms 924 KB Output is correct
23 Correct 87 ms 924 KB Output is correct
24 Correct 68 ms 924 KB Output is correct
25 Correct 67 ms 924 KB Output is correct
26 Correct 72 ms 924 KB Output is correct
27 Execution timed out 3071 ms 83728 KB Time limit exceeded
28 Halted 0 ms 0 KB -