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 double
double dist(double x1, double y1, double x2, double y2){
double dist=sqrt(pow((x1-x2),2)+pow((y1-y2),2));
return dist;
}
signed main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
int N,L; cin >> N >> L;
vector<pair<double,double>> a(N);
map<int,int> minabs;
for (int i = 0; i < N; i++){
cin >> a[i].first >> a[i].second;
if(minabs.find(a[i].first)==minabs.end()) {
minabs[a[i].first]=abs(a[i].second);
}
else {
minabs[a[i].first]=min(minabs[a[i].first],abs(a[i].second));
}
}
double toL=1e10+100;
double toO=1e10+100;
double mxDst=0;
for (int i = 0; i < N; i++)
{
toO=min(dist(0,0,a[i].first,minabs[a[i].first]),toO);
toL=min(dist(L,0,a[i].first,minabs[a[i].first]),toL);
}
mxDst=max(toO,toL);
for (int i = 0; i < N-1; i++)
{
double x1=a[i].first,y1=minabs[a[i].first],x2=a[i+1].first,y2=minabs[a[i+1].first];
if(x1==x2) continue;
else{
double x=(((pow(x2,2)+pow(y2,2))-pow(x1,2))-pow(y1,2))/((((double)2*x2)-(double)2*x1));
if(x>L||x<0) continue;
mxDst=max(min(dist(x2,y2,x,0),dist(x1,y1,x,0)),mxDst);
}
}
cout << setprecision(4) << fixed << (double)mxDst << "\n";
return 0;
}
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