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 int64_t
#define pii array<int,2>
#define double long double
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n,t;cin>>n>>t;
vector<pii> v(n);
for (auto &x:v)cin>>x[0]>>x[1];
double l = 1;
double r = 1e15;
vector<bool> rem(n, false);
while (abs(l-r) > 0.00001) {
double m = (l+r)/2.0;
int i=0;
vector<array<double,2>> start;
for (auto &x:v) {
if ((double)abs(x[1]) >= m) {
rem[i]=true;
}
else {
double aa=(double)abs(x[1]);
double dis=sqrt(m*m-aa*aa);
array<double,2> pos1 = {x[0]-dis,x[0]+dis};
if ((pos1[0] < 0.0 && pos1[1] < 0.0) || (pos1[0] > (double)t && pos1[1] > (double)t)) {
rem[i]=true;
}
else {
pos1[0]=max(pos1[0], (double)0.0);
pos1[1]=min(pos1[1], (double)t);
start.push_back(pos1);
}
}
i++;
}
start.push_back({0.0, 0.0});
start.push_back({(double)t,(double)t});
sort(start.begin(),start.end());
// cout<<m<<" "<<l<<" "<<r<<"\n";
// for (auto &x:start) {
// cout<<x[0]<<" "<<x[1]<<"\n";
// }
// cout<<"\n";
// for (auto &x:v) {
// cout<<x[0]<<" "<<x[1]<<"\n";
// }
// cout<<"\n\n";
array<double,2> pos={0.0, 0.0};
bool possible=true;
for (auto &x:start) {
if (x[0] <= pos[1]) {
pos[1]=max(pos[1], x[1]);
}
else {
possible=false;
break;
}
}
if (possible) {
r=m;
// int cnt=0;
// int pt=0;
// for (int i=0;i<n;i++) {
// if (rem[i]) {
// cnt++;
// }
// else if (cnt != 0) {
// swap(v[i], v[pt]);
// }
// if (!rem[i]) {
// pt++;
// }
// }
// n -= cnt;
// while (v.size() != n){
// v.pop_back();
// rem.pop_back();
// }
// for (int i=0;i<n;i++) {
// rem[i]=false;
// }
}
else {
l=m;
for (i=0;i<n;i++) {
rem[i]=false;
}
}
}
r = round(r * 10000.0) / 10000.0;
cout<<r<<"\n";
}
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