oj.uz

Submission #772169

# Submission time Handle Problem Language Result Execution time Memory
772169 2023-07-03T17:34:43 Z Sam_a17 Circle selection (APIO18_circle_selection) C++17
7 / 100
 1153 ms 1048576 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 + 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(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.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
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 0 ms 320 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 324 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 324 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 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 388 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 2 ms 728 KB Output is correct
20 Correct 2 ms 728 KB Output is correct
21 Correct 2 ms 832 KB Output is correct
22 Correct 74 ms 1052 KB Output is correct
23 Correct 74 ms 1052 KB Output is correct
24 Correct 88 ms 1036 KB Output is correct
25 Correct 73 ms 1052 KB Output is correct
26 Correct 74 ms 1052 KB Output is correct

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Runtime error 1153 ms 1048576 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Runtime error 930 ms 1048576 KB Execution killed with signal 9
3 Halted 0 ms 0 KB -

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Runtime error 1047 ms 1048576 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 0 ms 320 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 324 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 324 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 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 388 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 2 ms 728 KB Output is correct
20 Correct 2 ms 728 KB Output is correct
21 Correct 2 ms 832 KB Output is correct
22 Correct 74 ms 1052 KB Output is correct
23 Correct 74 ms 1052 KB Output is correct
24 Correct 88 ms 1036 KB Output is correct
25 Correct 73 ms 1052 KB Output is correct
26 Correct 74 ms 1052 KB Output is correct
27 Runtime error 707 ms 1048576 KB Execution killed with signal 9
28 Halted 0 ms 0 KB -

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 0 ms 320 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 324 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 324 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 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 388 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 2 ms 728 KB Output is correct
20 Correct 2 ms 728 KB Output is correct
21 Correct 2 ms 832 KB Output is correct
22 Correct 74 ms 1052 KB Output is correct
23 Correct 74 ms 1052 KB Output is correct
24 Correct 88 ms 1036 KB Output is correct
25 Correct 73 ms 1052 KB Output is correct
26 Correct 74 ms 1052 KB Output is correct
27 Runtime error 1153 ms 1048576 KB Execution killed with signal 9
28 Halted 0 ms 0 KB -