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 ll long long
#define pii pair<ll, ll>
#define pdd pair<double, double>
double prec = 1e6;
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
//freopen("input.txt", "r", stdin);
//freopen("output.txt", "w", stdout);
cout << setprecision(5);
int n, l;
cin >> n >> l;
vector<pii> stations(n);
for (int i = 0; i < n; i++)
{
int a, b;
cin >> a >> b;
stations[i] = {a, b};
}
double dist = 0;
ll one = 1;
for (int i = 50; i >= 0; i--)
{
dist += (one<<i)/prec;
double highest = 0;
for (pii ele:stations)
{
double dy = ele.second*ele.second;
double diff = dist*dist-dy;
if (diff <= 0) continue;
double dx = sqrt(diff);
double f = ele.first-dx;
double s = ele.first+dx;
if (f < highest) highest = max(highest, s);
}
if (highest < l) continue;
dist -= (one<<i)/prec;
}
cout << dist << "\n";
return 0;
}
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