#include <bits/stdc++.h>
using namespace std;
set<pair<float, int>> steigungen;
set<pair<float, int>> endpunkt;
vector<float> ende;
vector<float> steigung;
float max_r(float r1, float x1, float x2){
return ((x1-x2) * (x1-x2)) / (4 * r1);
}
int find_interval(float x1){
pair<int, int> interval = *lower_bound(endpunkt.begin(), endpunkt.end(), make_pair(x1, 0));
return interval.second;
}
float schnittstelle(float a1, float b1, float a2, float b2){
float a = b2 - b1;
float b = 2*a2*b1 - 2*a1*b2;
float c = b2*a1*a1 - b1*a2*a2;
//cout << "a, b, c: " << a << " " << b << " " << c << endl;
float radikand = sqrt(b*b - 4.0 * a * c);
//cout << radikand << endl;
float x1 = (-b + radikand) / (2 * a);
float x2 = (-b - radikand) / (2 * a);
return max(x1, x2);
}
void del(int idx){
//cout << "del: " << idx << endl;
endpunkt.erase(endpunkt.find(make_pair(ende[idx], idx)));
steigungen.erase(steigungen.find(make_pair(steigung[idx], idx)));
}
int main(){
int n; cin >> n;
vector<float> x(n), r(n);
for (int i=0; i<n; i++){
cin >> x[i] >> r[i];
}
vector<float> res(n);
res[0] = r[0];
//int last_idx = 0;
ende.resize(n);
steigung.resize(n);
ende[0] = 1e9;
steigung[0] = res[0]*4;
steigungen.insert(make_pair(4*res[0], 0));
endpunkt.insert(make_pair(1e9, 0));
for (int i=1; i<n; i++){
//cout << "i: " << i << endl;
//for (auto x : endpunkt) cout << x.first << " " << x.second << endl;
int idx = find_interval(x[i]);
//cout << "idx: " << idx << endl;
res[i] = min(max_r(res[idx], x[idx], x[i]), (float)r[i]);
//cout << "radius: " << res[i] << endl;
//steigungen.erase(steigungen.end(), steigungen.upper_bound({4.0 * res[i], 0}));
steigung[i] = res[i] * 4.0;
// alle steileren aus steigungen UND endpunkten löschen
//cout << steigungen.size() << " " << endpunkt.size() << endl;
while(steigungen.size() > 0 && (*steigungen.begin()).first <= steigung[i]){
//cout << steigungen.size() << " " << endpunkt.size() << endl;
int idx2 = (*steigungen.begin()).second;
del(idx2);
}
//cout << steigungen.size() << " " << endpunkt.size() << endl;
if(steigungen.size() == 0){
steigungen.insert(make_pair(res[i]*4.0, i));
endpunkt.insert(make_pair(1e9, i));
continue;
}
//cout << x[idx] << " " << steigung[idx] << " " << x[i] << " " << steigung[i] << endl;
float s = schnittstelle(x[idx], steigung[idx], x[i], steigung[i]);
//cout << "s: " << s << endl;
auto interval = lower_bound(endpunkt.begin(), endpunkt.end(), make_pair(x[i], 0));
//cout << steigungen.size() << " " << endpunkt.size() << endl;
while((*interval).second != find_interval(s)){
int idx2 = (*interval).second;
interval++;
del(idx2);
}
//cout << steigungen.size() << " " << endpunkt.size() << endl;
if(steigungen.size() == 0){
steigungen.insert(make_pair(res[i]*4.0, i));
endpunkt.insert(make_pair(1e9, i));
continue;
}
ende[i] = s;
endpunkt.insert(make_pair(ende[i], i));
steigungen.insert(make_pair(steigung[i], i));
}
for (float a : res) cout << fixed << setprecision(3) << a << endl;
}
