#include <bits/stdc++.h>
using namespace std;
/*
* how long can the radius of the new balloon at position bx be
* so that it touches the ballon a, which is described by
* its x position a.first and its radius a.second
*/
double calc_r(pair<double, double> a, double bx) {
return (a.first - bx) * (a.first - bx) / (4 * a.second);
}
int main() {
// number of balloons
int n;
cin >> n;
// the radius of each balloon after inflating
vector<double> res(n);
// the balloons we should check when we add a new one
stack<pair<double, double>> to_check;
// simulate inflating balloons
for (int i = 0; i < n; i++) {
/*
* the x coordinate and the maximum radius of the
* current balloon being inflated
*/
double x, r;
cin >> x >> r;
// the maximum radius of the current balloon
double max_r = r;
/*
* as long as the stack is not empty, we want to check
* if the last balloon makes the radius of the current balloon smaller
*/
while (!to_check.empty()) {
pair<double, double> last = to_check.top();
// the radius if the current balloon touches the last balloon
double to_last_r = calc_r(last, x);
/*
* the maximum possible radius is the smaller one between current
* maximum and the maximum radius so that we touches the last balloon
* (by which we have to stop)
*/
max_r = min(max_r, to_last_r);
/*
* if current maximum radius >= radius of the last balloon, we can
* remove the last balloon since it will never be touched by any
* new balloons other than the current one
*/
if (max_r >= last.second) {
to_check.pop();
// check the next balloon saved which will possibly reduce max_r
continue;
}
/*
* otherwise, the current balloon is smaller than the last saved balloon
* and we can stop checking
*/
else {
break;
}
}
/*
* save the x coordinate and radius of the current balloon, so that
* it can be checked later when a new balloon being inflated
*/
to_check.push({x, max_r});
res[i] = max_r;
}
cout << fixed << setprecision(3);
for (auto &r : res) {
cout << r << "\n";
}
}
