Submission #1043500

#	Time	Username	Problem	Language	Result	Execution time	Memory
1043500		vjudge1	Circle selection (APIO18_circle_selection)	C++17	34 / 100	1182 ms	82240 KiB

circle_selection

#include <bits/stdc++.h>

using namespace std;

#define int long long

bool inte(vector<int> c,vector<int> c1)
{
	int dis=(c[2]-c1[2])*(c[2]-c1[2])+(c[3]-c1[3])*(c[3]-c1[3]);
	return dis <= (c[0]+c1[0])*(c[0]+c1[0]);
}

signed main()
{
	int n;
	cin>>n;
	int r[n],x[n],y[n],ans[n]={};
	for (int i=0;i<n;i++)
		cin>>x[i]>>y[i]>>r[i];
	if (n<=5000)
	{
		set<vector<int>> se;
		set<int> rem;
		for (int i=0;i<n;i++)
		{
			se.insert({-r[i],i,x[i],y[i]});
			rem.insert(i);
		}
		while (!se.empty())
		{
			auto it=se.begin();
			vector<int> c=*it;c[0]*=-1;
			for (int i:rem)
				if (!ans[i] && inte(c,{r[i],i,x[i],y[i]}))
				{
					se.erase({-r[i],i,x[i],y[i]});
					ans[i]=c[1]+1;
				}
		}
	}
	else
	{
		int mx=-1e9,mn=-mx;
		for (int i=0;i<n;i++)
			mn=min(mn,y[i]),mx=max(mx,y[i]);
		if (!mn && !mx)
		{
			set<pair<int,int>> st,en,rem;
			for (int i=0;i<n;i++)
				st.insert({x[i]-r[i],i}),en.insert({x[i]+r[i],i}),rem.insert({-r[i],i});
			while (!rem.empty())
			{
				set<int> toer;
				auto p=*rem.begin();
				auto it=st.lower_bound({x[p.second]-r[p.second],0});
				auto it1=st.lower_bound({1+x[p.second]+r[p.second],0});
				while (it!=it1)
				{
					toer.insert((*it).second);
					it++;
				}
				it=en.lower_bound({x[p.second]-r[p.second],0});
				it1=en.lower_bound({x[p.second]+r[p.second]+1,0});
				while (it!=it1)
				{
					toer.insert((*it).second);
					it++;
				}
				for (int i:toer)
				{
					ans[i]=p.second+1;
					st.erase({x[i]-r[i],i}),en.erase({x[i]+r[i],i}),rem.erase({-r[i],i});
				}
			}
		}
		else
		{
			vector<vector<int>> vec;
			for (int i=0;i<n;i++)
				vec.push_back({y[i]+r[i],i,1}),vec.push_back({y[i]-r[i],i,0});
			sort(vec.begin(),vec.end());
			set<pair<int,int>> ms;
			while (!vec.empty())
			{
				vector<int> v=vec.back();
				vec.pop_back();
				if (v[2])
				{
					auto it=ms.insert({x[v[1]],v[1]}).first;
					if (it!=ms.begin())
					{
						it--;
						int id=(*it).second;
						if (inte({r[v[1]],0,x[v[1]],y[v[1]]},{r[id],0,x[id],y[id]}))
						{
							if (r[v[1]]>r[id] || (r[v[1]]==r[id] && v[1]<id))
								ans[v[1]]=ans[id]=v[1]+1;
							else
								ans[v[1]]=ans[id]=id+1;
						}
						it++;
					}
					it++;
					if (it!=ms.end())
					{
						int id=(*it).second;
						if (inte({r[v[1]],0,x[v[1]],y[v[1]]},{r[id],0,x[id],y[id]}))
						{
							if (r[v[1]]>r[id] || (r[v[1]]==r[id] && v[1]<id))
								ans[v[1]]=ans[id]=v[1]+1;
							else
								ans[v[1]]=ans[id]=id+1;
						}
					}
				}
				else
				{
					auto it=ms.find({x[v[1]],v[1]});
					if (it!=ms.begin())
					{
						it--;
						int id=(*it).second;
						it++,it++;
						if (it!=ms.end())
						{
							int id1=(*it).second;
							if (inte({r[id],0,x[id],y[id]},{r[id1],0,x[id1],y[id1]}))
							{
								if (r[id]>r[id1] || (r[id]==r[id1] && id<id1))
									ans[id]=ans[id1]=id+1;
								else
									ans[id]=ans[id1]=id1+1;
							}
						}
					}
					ms.erase({x[v[1]],v[1]});
				}
			}
		}
	}
	for (int i=0;i<n;i++)
	{
		if (!ans[i])
			ans[i]=i+1;
		cout<<ans[i]<<' ';
	}
	cout<<endl;
	
	return 0;
}

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