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 <iostream>
#include <iomanip>
#include <cmath>
#include <cstring>
#include <vector>
#include <algorithm>
#include <deque>
#include <set>
#include <utility>
#include <array>
using i64 = long long;
using u64 = unsigned long long;
using f64 = double;
using f80 = long double;
using namespace std;
#define ALL(x) x.begin(), x.end()
#define ShinLena cin.tie(nullptr)->sync_with_stdio(false);
#define N 200005
int n, x[N], r[N];
f80 rr[N];
int main()
{
ShinLena;
cin >> n;
for (int i = 0; i < n; ++i)
{
cin >> x[i] >> r[i];
}
rr[0] = r[0];
for (int i = 1; i < n; ++i)
{
f80 l = 0, r = ::r[i], iter = 100;
for (; iter--;)
{
f80 m = (l+r)/2, ok = 1;
for (int j = 0; ok && j < i; ++j)
{
f80 dy = abs(::rr[j] - m);
f80 dx = x[i] - x[j];
f80 reco = sqrtl(dy * dy + dx * dx);
if (reco < ::rr[j] + m) ok = 0;
}
if (ok) l = m;
else r = m;
}
rr[i] = r;
}
cout << fixed << setprecision(3);
for (int i = 0; i < n; ++i)
cout << rr[i] << '\n';
return 0;
}
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