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 sz(x) (int)(x.size())
using namespace std;
int n, L;
vector<pair<double, double>> a;
void solve() {
cin >> n >> L;
a.clear();
for (int i=0; i<n; i++) {
int x, y; cin >> x >> y;
if (!a.empty() && x==a.back().first) {
if (abs(y)<abs(a.back().second)) a.back().second=y;
}
else a.push_back({x, y});
}
n=sz(a);
double l=0, r=1e9;
while (r-l>0.0009) {
double mid=(l+r)/2;
double borne=0;
double popo=pow(mid, 2);
for (int i=0; i<n; i++) {
if (abs(a[i].second)>mid) continue;
double x=a[i].first, y=a[i].second;
double dist=sqrt(popo-pow(y, 2));
if (x-dist<=borne && x+dist>borne) borne=x+dist;
}
if (borne>=L) r=mid;
else l=mid;
}
cout << fixed << setprecision(3) << l << endl;
return;
}
signed main() {
ios::sync_with_stdio(0);
cin.tie(0);
solve();
return 0;
}
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