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>
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
using namespace std;
using i64 = long long;
template<class T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define int i64
#define vi vector<int>
#define vvi vector<vi>
#define vb vector<bool>
#define pii pair<int, int>
#define fi first
#define se second
#define double long double
#define sz(x) (int)(x).size()
inline double calc_radius(pair<double, double> a, double bx){ // a.fi -> a.x, a.se -> a.r
return (a.fi - bx) * (a.fi - bx) / (4 * a.se); // comes from Pythagorean theorem
}
signed main(){
ios_base::sync_with_stdio(false); cin.tie(0);
int n;
double x, r;
cin >> n;
stack<pair<double, double>> s;
vector<double> ans(n);
for(int i = 0; i < n; i++){
cin >> x >> r;
double maxr = r;
while(!s.empty()){
pair<double, double> prev = s.top();
double curr = calc_radius(prev, x);
maxr = min(maxr, curr);
if(maxr >= prev.se)
s.pop();
else
break;
}
s.push({x, maxr});
ans[i] = maxr;
}
cout << fixed << setprecision(3);
for(double d : ans)
cout << d << "\n";
return 0;
}
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