Submission #589106

#	Time	Username	Problem	Language	Result	Execution time	Memory
589106		jakubd	Mobile (BOI12_mobile)	C++17	12 / 100	511 ms	24732 KiB

mobile

#include <bits/stdc++.h>

using namespace std;

int main() {
  ios_base::sync_with_stdio(false); cin.tie(0);

  int n, l; cin >> n >> l;

  vector<pair<int, int>> a;
  for (int i = 0; i < n; i++) {
    int x, y; cin >> x >> y;
    a.push_back({x, y});
  }

  double lo = 0, ri = 1e9;
  while (fabs(lo - ri) > 1e-6) {
    double m = (lo + ri) / 2, cur = 0;
    
    for (int i = 0; i < n; i++) {
      double d = sqrt(m * m - a[i].second * a[i].second);
      if (a[i].first - d <= cur) cur = max(cur, a[i].first + d);
    }

    if (cur >= l) ri = m;
    else lo = m;
  }

  cout << fixed << setprecision(12) << lo << "\n";

  return 0;
};

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