Submission #772167

#	Time	Username	Problem	Language	Result	Execution time	Memory
772167		Sam_a17	Circle selection (APIO18_circle_selection)	C++17	7 / 100	3095 ms	1048576 KiB

circle_selection

#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 + 1), r(n + 1);
    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(auto i: compress) {
      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.first] = -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);        
      }

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

    for(int i = 1; i <= n; 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;
} 

• Subtask 1: 7 / 7
• Subtask 2: 0 / 12
• Subtask 3: 0 / 15
• Subtask 4: 0 / 23
• Subtask 5: 0 / 30
• Subtask 6: 0 / 13