Submission #732740

#	Time	Username	Problem	Language	Result	Execution time	Memory
732740		minhcool	Circle selection (APIO18_circle_selection)	C++17	87 / 100	3056 ms	126672 KiB

circle_selection

#include<bits/stdc++.h>
using namespace std;
 
#define int long long
#define fi first
#define se second
#define pb push_back
//#define mp make_pair
 
typedef pair<int, int> ii;
typedef pair<ii, int> iii;
typedef pair<ii, ii> iiii;
 
const int N = 3e5 + 5;
 
const int oo = 1e18 + 7, mod = 1e9 + 7;
 
int n, x[N], y[N], r[N];
 
int ans[N];
 
bool out[N];
 
unordered_map<int, int> mp;
vector<ii> vc[N];
 
bool ck(int i, int j){
//	cout << i << " " << j << "\n";
	int dist = ((x[i] - x[j]) * (x[i] - x[j]) + (y[i] - y[j]) * (y[i] - y[j]));
	int rd = (r[i] + r[j]) * (r[i] + r[j]);
	return (dist <= rd);
}
 
void process(){
	cin >> n;
	for(int i = 1; i <= n; i++) cin >> x[i] >> y[i] >> r[i];
	set<ii> rem;
	for(int i = 1; i <= n; i++) rem.insert({-r[i], i});
	bool chk = 1;
	for(int i = 1; i <= n; i++) chk &= (r[i] == 1);
	if(chk){
		for(int i = 1; i <= n; i++) cout << i << " ";
		cout << "\n";
		exit(0);
	}
	for(int i = 32; i >= 0; i--){// executing with radius (1LL << (i - 1)) to (1LL << i)
		int rad = (1LL << i);
		mp.clear();
		for(int j = 1; j <= n; j++) vc[j].clear();
		vector<int> diff;
		for(int j = 1; j <= n; j++) if(!out[j]) diff.pb(x[j] / rad);
		sort(diff.begin(), diff.end());
		diff.resize(unique(diff.begin(), diff.end()) - diff.begin());
		for(int j = 0; j < diff.size(); j++) mp[diff[j]] = j + 1;
		for(int j = 1; j <= n; j++){
			if(!out[j]){
				//cout << "OK " << rad << " " << j << " " << x[j]/rad << " " << y[j] << "\n";
				vc[mp[x[j]/rad]].pb({y[j], j});
			}
		}
		for(int j = 1; j <= n; j++) sort(vc[j].begin(), vc[j].end());
		while(!rem.empty() && -((*rem.begin()).fi) >= (1LL << (i - 1))){
			int ind = (*rem.begin()).se;
		//	cout << rad << " " << ind << "\n";
			assert(!out[ind]);
			out[ind] = 1;
			ans[ind] = ind;
			rem.erase({-r[ind], ind});
			for(int i2 = x[ind]/rad - 4; i2 <= x[ind]/rad + 5; i2++){
				if(mp.find(i2) == mp.end()) continue;
				int temp = mp[i2];
				int le = (y[ind]/rad) - 4, ri = (y[ind] / rad) + 5;
			//	cout << 
				le *= rad, ri *= rad;
			//	cout << le << " " << ri << "\n";
				vector<ii>::iterator it = lower_bound(vc[temp].begin(), vc[temp].end(), make_pair(le, -oo));
				for(; it != vc[temp].end(); it++){
					if((*it).fi > ri) break;
					if(out[(*it).se]) continue;
					if(ck(ind, (*it).se)){
						//cout << ind << " " << (*it).se << "\n";
						ans[(*it).se] = ind;
						rem.erase({-r[(*it).se], (*it).se});
						out[(*it).se] = 1;
					}
				}
			}
		}
	}
	for(int i = 1; i <= n; i++) if(!ans[i]) ans[i] = i;
	for(int i = 1; i <= n; i++) cout << ans[i] << " ";
	cout << "\n";
}
 
signed main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	process();
}

Compilation message (stderr)

circle_selection.cpp: In function 'void process()':
circle_selection.cpp:54:20: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   54 |   for(int j = 0; j < diff.size(); j++) mp[diff[j]] = j + 1;
      |                  ~~^~~~~~~~~~~~~

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