func_code_string: #include <bits/stdc++.h>   using namespace std;   int n;   int k;   vector<pair<long double, long double> > vp;   const long double PI = 2 * acos(0.0);   bool check(long double r) {     vector<pair<long double, int> > events;     for (int i = 0; i < n; ++i) {       long double ang = atan2(vp[i].second, vp[i].first);       long double d =           sqrt(vp[i].first * vp[i].first + vp[i].second * vp[i].second);       if (d > 2 * r) continue;       long double alph = (PI - acos(1 - (d * d) / (2 * (r * r)))) / 2;       long double ang_in = ang - alph;       long double ang_out = ang + alph;       if (ang_in < 0) {         ang_in += 2 * PI;         ang_out += 2 * PI;       }       events.emplace_back(ang_in, 1);       events.emplace_back(ang_out, -1);       events.emplace_back(ang_in + 2 * PI, 1);       events.emplace_back(ang_out + 2 * PI, -1);     }     sort(events.begin(), events.end());     int ck = 0;     for (int i = 0; i < (int)events.size(); ++i) {       ck += events[i].second;       if (ck >= k) return true;     }     return false;   }   int main() {     cout.setf(ios::fixed);     cout << setprecision(10);     cin >> n;     cin >> k;     for (int i = 0; i < n; ++i) {       int first, second;       cin >> first >> second;       vp.emplace_back(first, second);     }     long double l = 0;     long double r = 2e5;     while (r - l > 1e-6) {       long double mid = (l + r) / 2;       if (check(mid)) {         r = mid;       } else {         l = mid;       }     }     cout << l << endl;   }   