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>
#define vi vector<int>
#define ve vector
#define ll long long
#define vf vector<float>
#define vll vector<pair<ll,ll>>
#define ii pair<int,int>
#define vvi vector<vi>
#define vii vector<ii>
#define gii greater<ii>
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define INF 1e16
#define eps 1e-7
#define eps1 1e-25
#define optimise ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
#define MAX_A 1e5+5
#define V 450
using namespace std;
const int MOD = 1e9+7;
const int nax = 2e5+5;
ve<pair<long double,long double>> s;
long double r[nax];
int main(){
optimise;
int n;
cin >> n;
for (int i = 0; i < n; ++i)
{
long double x,mr;
cin >> x >> mr;
s.pb({x,mr});
}
stack<int> st;
for (int i = 0; i < n; ++i)
{
long double mx = s[i].se;
while (!st.empty())
{
pair<long double,long double> a = s[st.top()];
long double b = (long double)((s[i].fi-a.fi)*(s[i].fi-a.fi))/(long double) (4*r[st.top()]);
mx = min(b,mx);
if(mx >= r[st.top()]){
st.pop();
} else {
break;
}
}
st.push(i);
r[i] = mx;
cout <<fixed << setprecision(3) << mx << endl;
}
}
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