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 sqr(x) (x)*(x)
const double eps=1e-3;
const int N=2e5+10;
double ans[N];
long long x[N],R[N];
int n;
double get(int i,int j){
double l=0,r=R[i],kq=-1;
for(int k=0;k<32;++k){
double m=(l+r)/2.;
double dist=sqr(m-ans[j])+sqr(x[j]-x[i]);
if(sqr(m+ans[j])-dist<eps)kq=m,l=m;
else r=m;
}
return kq;
}
signed main()
{
ios::sync_with_stdio(NULL);
cin.tie(nullptr);
cout.precision(3);
cout<<fixed;
cin>>n;
for(int i=0;i<n;++i)cin>>x[i]>>R[i];
ans[0]=R[0];
for(int i=1;i<n;++i){
for(int j=max(0,i-10);j<i;++j){
double tmp=get(i,j);
// cout<<tmp<<endl;
if(ans[i]>=tmp||ans[i]==0)ans[i]=tmp;
}
}
for(int i=0;i<n;++i)cout<<ans[i]<<'\n';
}
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