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 Loop(x,l,r) for (ll x = (l); x < (ll)(r); ++x)
#define LoopR(x,l,r) for (ll x = (r)-1; x >= (ll)(l); --x)
typedef long long ll;
typedef std::pair<int, int> pii;
typedef std::pair<ll , ll > pll;
using namespace std;
typedef pair<double, double> pdd;
pdd in()
{
ll x, y;
cin >> x >> y;
return {x, y};
}
const int S = 4096;
const int N = S*50;
double a[N], b[N];
double x[N], r[N];
int len = 0;
void insert(pdd f)
{
a[len] = f.first;
b[len] = f.second;
++len;
}
__attribute__((optimize("Ofast,unroll-loops"),target("avx2,fma")))
double get(double x, int l, int r)
{
#define MIN(x, y) ((x)>(y)?(y):(x))
double ans = 1e30;
Loop (i,l,r) {
double tmp = a[i]*x + b[i];
ans = MIN(ans, tmp);
}
return ans;
#undef MIN
}
int main()
{
cin.tie(0) -> sync_with_stdio(false);
cout << fixed << setprecision(3);
int n;
cin >> n;
Loop (i,0,n) {
auto [x, r] = in();
r = sqrt(r);
::x[i] = x;
::r[i] = r;
}
for (int s = 0; s < n; s += S) {
int f = s+S;
Loop (i,s,min(n,f)) {
r[i] = min(r[i], get(x[i], s, i));
cout << r[i]*r[i] << '\n';
insert({0.5/r[i], -x[i]*0.5/r[i]});
}
Loop (i,f,n)
r[i] = min(r[i], get(x[i], s, f));
}
}
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