Submission #1190742

#TimeUsernameProblemLanguageResultExecution timeMemory
1190742MalixCircle selection (APIO18_circle_selection)C++20
0 / 100
320 ms33320 KiB
#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vii;
typedef pair<int,int> pi;
typedef vector<pi> pii;
typedef tuple<ll,ll,ll> ti;
typedef vector<ll> li;
typedef vector<li> lii;
 
#define REP(i,a,b) for(int i=a;i<b;i++)
#define F first
#define S second
#define PB push_back
#define LSOne(s) ((s)&(-s))
 
ll INF=1000000000000000010;
int inf=1e9+10;
ll M=1e9+7;

vector<ti> a;

bool check(int x,int y){
    ll x1=get<0>(a[x]);
    ll y1=get<1>(a[x]);
    ll z1=get<2>(a[x]);
    ll x2=get<0>(a[y]);
    ll y2=get<1>(a[y]);
    ll z2=get<2>(a[y]);
    return ((x1-x2)*(x1-x2)+(y1-y2)*(y1-y2)<=(z1+z2)*(z1+z2));
}

int main() {   
// ios::sync_with_stdio(0);
// cin.tie(0);
    int n;cin>>n;
    a.resize(n);
    REP(i,0,n){
        ll x,y,z;cin>>x>>y>>z;
        a[i]={x,y,z};
    }
    sort(a.begin(),a.end());
    set<pair<ll,int>> st;
    priority_queue<pair<ll,int>> pq;
    vi ans(n);
    REP(i,0,n)ans[i]=i;
    REP(i,0,n){
        ll x=get<0>(a[i]);
        ll y=get<1>(a[i]);
        ll z=get<2>(a[i]);
        while(!pq.empty()&&pq.top().F<x-z){
            st.erase({get<1>(a[pq.top().S]),pq.top().S});
            pq.pop();
        }
        auto it=st.lower_bound({y,-1});
        int ps=it->S;
        if(check(i,ps)){
            if(get<2>(a[i])>get<2>(a[ps]))ans[ps]=i;
            else if(get<2>(a[i])<get<2>(a[ps]))ans[i]=ps;
            else if(i<ps)ans[ps]=i;
            else ans[i]=ps;
        }
        if(it==st.begin()){
            st.insert({y,i});
            pq.push({x+z,i});
            continue;
        }
        it--;
        ps=it->S;
        if(check(i,ps)){
            if(get<2>(a[i])>get<2>(a[ps]))ans[ps]=i;
            else if(get<2>(a[i])<get<2>(a[ps]))ans[i]=ps;
            else if(i<ps)ans[ps]=i;
            else ans[i]=ps;
        }
        st.insert({y,i});
        pq.push({x+z,i});
    }
    REP(i,0,n)cout<<ans[i]+1<<" ";
}
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