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 pr pair<double, double>
#define ll long long
#define pb push_back
#define f first
#define s second
vector<double> x, r;
vector<pr> xr;
bool check(double mid, int bb, int be){
bool judge=false;
for (int i=bb; i<be; i++){
double rr=(mid+r[xr[i].s])*(mid+r[xr[i].s]);
double dist1=(mid-r[xr[i].s])*(mid-r[xr[i].s])+(x[be]-x[xr[i].s])*(x[be]-x[xr[i].s]);
if(rr>=dist1){
judge=true; break;
}
}
return judge;
}
int main(){
int n; cin>>n;
x.resize(n); r.resize(n); xr.resize(n);
for (int i=0; i<n; i++) {
cin>>x[i]>>r[i];
xr[i].f=x[i]+r[i]; xr[i].s=i;
}
sort(xr.begin(), xr.end());
vector<double> ans(n);
for (int i=0; i<n; i++){
if(i==0) {
ans[i]=r[i];
continue;
}
//
pr node={x[i]-r[i], 0};
int pos=lower_bound(xr.begin(), xr.begin()+n, node)-xr.begin(); // pos can only be less than or equal to i;
if(pos==i) {ans[i]=r[i]; continue;}
double lft=0; double rht=r[i];
while(rht-lft>0.00001){
double mid=lft+(rht-lft)/2;
if(check(mid, pos, i)) {
rht=mid;
}
else lft=mid;
}
ans[i]=lft;
}
cout << fixed <<setprecision(3);
for (int i=0; i<n; i++) cout<<ans[i]<<endl;
}
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