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"
using namespace std;
#define INF 1000000000
#define INFLL 1000000000000000000ll
#define EPS 1e-9
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define pb push_back
#define fi first
#define sc second
using i64 = long long;
using u64 = unsigned long long;
using ld = long double;
using ii = pair<int, int>;
using i128 = __int128;
struct point {
ld x, y;
};
ld minRadius(point A, ld x0) {
ld l = 0, r = 1e9;
while(fabs(l - r) > EPS) {
ld m = (l + r) / 2;
ld x = A.x - x0, y = A.y - m;
if(x * x + y * y <= (A.y + m) * (A.y + m)) r = m;
else l = m;
}
return r;
}
void solve() {
int n;
vector<point> c;
cin >> n;
vector<int> x(n), r(n);
for(int i = 0; i < n; ++i) cin >> x[i] >> r[i];
cout.precision(3);
cout.setf(ios_base :: fixed);
c.pb({0.0L + x[0], 0.0L + r[0]});
cout << 0.0L + r[0] << '\n';
for(int i = 1; i < n; ++i) {
ld radius = r[i];
while(!c.empty()) {
radius = min(radius, minRadius(c.back(), x[i]));
if(radius <= c.back().y) break;
c.pop_back();
}
c.pb({0.0L + x[i], 0.0L + radius});
cout << radius << '\n';
}
}
int main() {
ios_base :: sync_with_stdio(false);
cin.tie(0);
int t = 1;
//cin >> t;
while(t--) solve();
return 0;
}
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