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 pdl pair<double, ll>
double sp(double x1, double y1, double x2, double y2) {
double top = x2*x2 - x1*x1 + y2*y2 - y1*y1;
double bottom = 2*x2 - 2*x1;
return top/bottom;
}
int main()
{
ll n; double l;
cin >> n >> l;
vector<pdl> p(n);
ll li = -1;
vector<double> x(n);
vector<double> y(n);
for (ll i = 0; i < n; i++) {
cin >> x[i] >> y[i];
double last;
while (li >= 0) {
double lsp, i2;
tie(lsp, i2) = p[li];
double csp = sp(x[i], y[i], x[i2], y[i2]);
if (csp <= lsp) {
li--;
} else {
last = csp;
break;
}
}
if (li == -1) p[0] = make_pair(0, i);
else p[li+1] = make_pair(last, i);
li++;
}
double maxi = 0;
ll last = p[0].second;
for (ll i = 0; i <= li; i++) {
double csp, ci;
tie(csp, ci) = p[i];
if (csp > l || i == li) {
if (i == li) last = ci;
double dist = sqrt((x[last]-l)*(x[last]-l)+y[last]*y[last]);
maxi = max(maxi, dist);
}
double dist = sqrt((x[ci]-csp)*(x[ci]-csp)+y[ci]*y[ci]);
maxi = max(maxi, dist);
last = ci;
}
cout << maxi;
return 0;
}
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