This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define ff first
#define ss second
#define pb push_back
const int N=3e5+5;
double x[N],r[N];
double p[N];
bool check(int i, int j, double R){
double xj=x[j],yj=p[j],rj=p[j];
double xi=x[i],yi=R,ri=R;
double d=(xi-xj)*(xi-xj)+(yi-yj)*(yi-yj);
double f=rj+ri;
if(f*f<=d){
return 1;
}
else{
return 0;
}
}
signed main(){
int n;
cin>>n;
for(int i=1;i<=n;i++){
cin>>x[i]>>r[i];
}
p[1]=r[1];
for(int i=2;i<=n;i++){
double lo=0,hi=r[i];
while(hi>=lo){
double mid=(hi+lo)/2;
bool u=1;
for(int j=1;j<i;j++){
u&=check(i,j,mid);
}
if(u){
lo=mid+0.00001;
}
else{
hi=mid-0.00001;
}
}
p[i]=hi;
}
for(int i=1;i<=n;i++){
cout<<fixed<<setprecision(3)<<p[i]<<endl;
}
}
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