Submission #949076

#TimeUsernameProblemLanguageResultExecution timeMemory
949076MilosMilutinovicIOI Fever (JOI21_fever)C++14
25 / 100
914 ms524288 KiB
#include<bits/stdc++.h>
 
#define pb push_back
#define fi first
#define se second
#define mp make_pair
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef long double ld;
 
template <typename T> bool chkmin(T &x,T y){return x>y?x=y,1:0;}
template <typename T> bool chkmax(T &x,T y){return x<y?x=y,1:0;}
 
ll readint(){
    ll x=0,f=1; char ch=getchar();
    while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}
    return x*f;
}
 
const int dx[]={1,0,-1,0};
const int dy[]={0,1,0,-1};
int n;
int d1[100005],d2[100005];
ll x[100005],y[100005],dir[100005];
bool vis[100005];
 
int main(){
	n=readint();
	for(int i=1;i<=n;i++) x[i]=readint(),y[i]=readint(),x[i]*=2,y[i]*=2;
	vector<int> xs1,xs2;
	for(int i=1;i<=n;i++){
		xs1.pb(x[i]+y[i]);
		xs2.pb(x[i]-y[i]);
	}
	sort(xs1.begin(),xs1.end());
	xs1.erase(unique(xs1.begin(),xs1.end()),xs1.end());
	sort(xs2.begin(),xs2.end());
	xs2.erase(unique(xs2.begin(),xs2.end()),xs2.end());
	int sz1=(int)xs1.size(),sz2=(int)xs2.size();
	vector<set<pii>> st1(sz1),st2(sz2);
	vector<vector<int>> ids1(sz1),ids2(sz2);
	for(int i=1;i<=n;i++){
		d1[i]=(int)(lower_bound(xs1.begin(),xs1.end(),x[i]+y[i])-xs1.begin());
		d2[i]=(int)(lower_bound(xs2.begin(),xs2.end(),x[i]-y[i])-xs2.begin());
		st1[d1[i]].emplace(x[i],i);
		st2[d2[i]].emplace(x[i],i);
		ids1[d1[i]].pb(i);
		ids2[d2[i]].pb(i);
	}
	for(int i=0;i<sz1;i++){
		sort(ids1[i].begin(),ids1[i].end(),[&](int i,int j){return x[i]<x[j];});
	}
	for(int i=0;i<sz2;i++){
		sort(ids2[i].begin(),ids2[i].end(),[&](int i,int j){return x[i]<x[j];});
	}
	int ans=0;
	for(int d=0;d<4;d++){
		for(int i=1;i<=n;i++) vis[i]=false;
		dir[1]=d;
		priority_queue<pair<ll,pii>> pq;
		pq.push(mp(0,mp(1,d)));
		for(int i=1;i<=n;i++){
			st1[d1[i]].emplace(x[i],i);
			st2[d2[i]].emplace(x[i],i);
		}
		while(!pq.empty()){
			ll t=-pq.top().fi;
			int i=pq.top().se.fi;
			int dd=pq.top().se.se;
			pq.pop();
			if(vis[i]) continue;
			dir[i]=dd;
			vis[i]=true;
			auto it1=st1[d1[i]].lower_bound(mp(x[i],i));
			st1[d1[i]].erase(it1);
			auto it2=st2[d2[i]].lower_bound(mp(x[i],i));
			st2[d2[i]].erase(it2);
			if(dir[i]==0){
				// up
				{
					int low=0,high=ids1[d1[i]].size()-1,p=-1;
					while(low<=high){
						int mid=(low+high)/2;
						if(x[i]-x[ids1[d1[i]][mid]]>=t) p=mid,low=mid+1;
						else high=mid-1;
					}
					for(int j=0;j<=p;j++) pq.push(mp(-(x[i]-x[ids1[d1[i]][j]]),mp(ids1[d1[i]][j],2)));
				}
				{
					int low=0,high=ids2[d2[i]].size()-1,p=high+1;
					while(low<=high){
						int mid=(low+high)/2;
						if(x[ids2[d2[i]][mid]]-x[i]>=t) p=mid,high=mid-1; 
						else low=mid+1;
					}
					for(int j=p;j<(int)ids2[d2[i]].size();j++) pq.push(mp(-(x[ids2[d2[i]][j]]-x[i]),mp(ids2[d2[i]][j],3)));
				}
			}
			if(dir[i]==1){
				// down
				{
					int low=0,high=ids1[d1[i]].size()-1,p=high+1;
					while(low<=high){
						int mid=(low+high)/2;
						if(x[ids1[d1[i]][mid]]-x[i]>=t) p=mid,high=mid-1;
						else low=mid+1;
					}
					for(int j=p;j<(int)ids1[d1[i]].size();j++) pq.push(mp(-(x[ids1[d1[i]][j]]-x[i]),mp(ids1[d1[i]][j],3)));
				}
				{
					int low=0,high=ids2[d2[i]].size()-1,p=-1;
					while(low<=high){
						int mid=(low+high)/2;
						if(x[i]-x[ids2[d2[i]][mid]]>=t) p=mid,low=mid+1; 
						else high=mid-1;
					}
					for(int j=0;j<=p;j++) pq.push(mp(-(x[i]-x[ids2[d2[i]][j]]),mp(ids2[d2[i]][j],2)));
				}
			}
			if(dir[i]==2){
				// right
				{
					int low=0,high=ids1[d1[i]].size()-1,p=high+1;
					while(low<=high){
						int mid=(low+high)/2;
						if(x[ids1[d1[i]][mid]]-x[i]>=t) p=mid,high=mid-1;
						else low=mid+1;
					}
					for(int j=p;j<(int)ids1[d1[i]].size();j++) pq.push(mp(-(x[ids1[d1[i]][j]]-x[i]),mp(ids1[d1[i]][j],0)));
				}
				{
					int low=0,high=ids2[d2[i]].size()-1,p=high+1;
					while(low<=high){
						int mid=(low+high)/2;
						if(x[ids2[d2[i]][mid]]-x[i]>=t) p=mid,high=mid-1;
						else low=mid+1;
					}
					for(int j=p;j<(int)ids2[d2[i]].size();j++) pq.push(mp(-(x[ids2[d2[i]][j]]-x[i]),mp(ids2[d2[i]][j],1)));
				}
			}
			if(dir[i]==3){
				// left
				{
					int low=0,high=ids1[d1[i]].size()-1,p=-1;
					while(low<=high){
						int mid=(low+high)/2;
						if(x[i]-x[ids1[d1[i]][mid]]>=t) p=mid,low=mid+1;
						else high=mid-1;
					}
					for(int j=0;j<=p;j++) pq.push(mp(-(x[i]-x[ids1[d1[i]][j]]),mp(ids1[d1[i]][j],1)));
				}
				{
					int low=0,high=ids2[d2[i]].size()-1,p=-1;
					while(low<=high){
						int mid=(low+high)/2;
						if(x[i]-x[ids2[d2[i]][mid]]>=t) p=mid,low=mid+1;
						else high=mid-1;
					}
					for(int j=0;j<=p;j++) pq.push(mp(-(x[i]-x[ids2[d2[i]][j]]),mp(ids2[d2[i]][j],0)));
				}
			}
		}
		int cnt=0;
		for(int i=1;i<=n;i++) cnt+=vis[i];
		ans=max(ans,cnt);
	}
	printf("%d\n",ans);
}
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