Submission #589127

#	Time	Username	Problem	Language	Result	Execution time	Memory
589127		jakubd	Mobile (BOI12_mobile)	C++17	100 / 100	691 ms	35344 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<long long> x(n), y(n);
  for (int i = 0; i < n; i++) {
    cin >> x[i] >> y[i];
  }

  double left = 0, right = 1e9;
  for (int it = 0; it < 60; it++) {
    double mid = (left + right) / 2, cur = 0;

    for (int i = 0; i < n; i++) {
      double dx = sqrt(mid * mid - y[i] * y[i]);
      if (x[i] - dx <= cur) cur = max(cur, x[i] + dx);
    }

    (cur >= l ? right : left) = mid;
  }

  cout << fixed << setprecision(6) << left << "\n";

  return 0;
};

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