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 int long long
#define sp << ' ' <<
#define nl << '\n'
vector<array<double, 2>> a;
int n; double l;
bool possible(double x){
double last = 0, w;
for(auto &i : a){
if(x * x < i[1]) continue;
w = sqrt(x * x - i[1]);
if(last >= i[0] - w) last = max(last, i[0] + w);
}
return last >= l;
}
signed main(){
cin.tie(0)->sync_with_stdio(0);
cin >> n >> l;
a.resize(n);
for(auto &i : a) cin >> i[0] >> i[1], i[1] *= i[1];
double low = 0, high = 4e9;
for(int _=0; _<45; ++_){
double mid = (low + high) / (double) 2.0;
if(possible(mid)) high = mid - 1e-5;
else low = mid;
}
cout << fixed << setprecision(5) << low;
}
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