#include<bits/stdc++.h> #define ll long long #define pii pair<int,double> #define pdd pair<double,double> #define tiii tuple<int,int,int> using namespace std; double eps = 1e-6; double dist(pdd a, pdd b){ double dx = a.first-b.first; double dy = a.second-b.second; return sqrt((dx*dx)+(dy*dy)); } double get(pii bal, int p){ // double l = 0; // double r = 1e9; // pdd point = {bal.first, bal.second}; // double ma = 0; // while(r-l >= eps){ // double mid = (r+l)/2; // pdd po = {p,mid}; // double d = dist(point, po); // if(d >= mid+bal.second){ // ma = max(ma, mid); // l = mid+eps; // }else{ // r = mid-eps; // } // } // return l; double top = (bal.first-p)*(bal.first-p); return (top/(4.0*bal.second)); } int main(){ int n; cin >> n; vector<int> arr(n); vector<double> constr(n); for(int i = 0; i < n; i++){ cin >> arr[i] >> constr[i]; } cout << fixed << setprecision(3); vector<pii> S; for(int i = 0; i < n; i++){ double val = 1e9; for(auto v : S){ val = min(val, get(v, arr[i])); } val = min(val, constr[i]); while(S.size() && S.back().second <= val){ S.pop_back(); } S.push_back({arr[i],val}); cout << val << "\n"; } }