Submission #1109854

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1109854	2024-11-07T20:12:01 Z	vjudge1	Mobile (BOI12_mobile)	C++17	100 / 100	988 ms	27436 KB

mobile

#include <iostream>
#include <vector>
#include <cmath>
#include <iomanip>
using namespace std;

int main() {
  int N, L;
  cin >> N >> L;
  vector<pair<int, int>> tr(N);
  for (auto& p : tr) cin >> p.first >> p.second;

  double low = 0, high = 3 * 1e9;
  while (low + 1e-4 < high) {
    double r = (high + low) / 2;
    vector<pair<double, double>> s;
    for (auto& p : tr) {
      if (abs(p.second) >= r) continue;
      double x = sqrt(r* r - 1.0 * p.second * p.second);
      double x1 = p.first - x, x2 = p.first + x;

      // x2 >= s.back().first is always true. That's why we can use merge with stack.
      while (!s.empty() && s.back().second >= x1) {
        x1 = min(x1, s.back().first);
        x2 = max(x2, s.back().second);
        s.pop_back();
      }
      s.push_back({x1, x2});
    }

    bool ok = false;
    for (auto& p : s) {
      if (p.first <= 0 && p.second >= L) {
        ok = true;
      }
    }
    if (ok) {
      high = r;
    } else {
      low = r;
    }
  }
  cout << fixed << setprecision(4) << high << endl;
  return 0;
}

Subtask #1
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	336 KB	Output is correct
2	Correct	1 ms	336 KB	Output is correct
3	Correct	1 ms	336 KB	Output is correct
4	Correct	1 ms	336 KB	Output is correct

Subtask #2
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	336 KB	Output is correct
2	Correct	1 ms	336 KB	Output is correct
3	Correct	1 ms	336 KB	Output is correct
4	Correct	1 ms	336 KB	Output is correct

Subtask #3
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	336 KB	Output is correct
2	Correct	3 ms	336 KB	Output is correct
3	Correct	3 ms	508 KB	Output is correct
4	Correct	3 ms	336 KB	Output is correct

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	336 KB	Output is correct
2	Correct	6 ms	336 KB	Output is correct
3	Correct	4 ms	508 KB	Output is correct
4	Correct	4 ms	336 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	336 KB	Output is correct
2	Correct	5 ms	336 KB	Output is correct
3	Correct	4 ms	336 KB	Output is correct
4	Correct	4 ms	336 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	336 KB	Output is correct
2	Correct	5 ms	336 KB	Output is correct
3	Correct	4 ms	336 KB	Output is correct
4	Correct	4 ms	336 KB	Output is correct
5	Correct	5 ms	336 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	56 ms	1012 KB	Output is correct
2	Correct	69 ms	848 KB	Output is correct
3	Correct	43 ms	848 KB	Output is correct
4	Correct	45 ms	1028 KB	Output is correct
5	Correct	30 ms	592 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	46 ms	1036 KB	Output is correct
2	Correct	41 ms	980 KB	Output is correct
3	Correct	47 ms	1068 KB	Output is correct
4	Correct	48 ms	1044 KB	Output is correct
5	Correct	53 ms	1104 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	77 ms	1112 KB	Output is correct
2	Correct	74 ms	1076 KB	Output is correct
3	Correct	66 ms	1088 KB	Output is correct
4	Correct	71 ms	1208 KB	Output is correct
5	Correct	53 ms	1124 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	94 ms	1104 KB	Output is correct
2	Correct	90 ms	1104 KB	Output is correct
3	Correct	75 ms	1220 KB	Output is correct
4	Correct	66 ms	1104 KB	Output is correct
5	Correct	60 ms	1360 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	93 ms	1104 KB	Output is correct
2	Correct	90 ms	1212 KB	Output is correct
3	Correct	73 ms	1212 KB	Output is correct
4	Correct	62 ms	1104 KB	Output is correct
5	Correct	71 ms	1104 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	401 ms	4344 KB	Output is correct
2	Correct	455 ms	4344 KB	Output is correct
3	Correct	540 ms	4344 KB	Output is correct
4	Correct	307 ms	4176 KB	Output is correct
5	Correct	344 ms	4340 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	479 ms	4340 KB	Output is correct
2	Correct	398 ms	4424 KB	Output is correct
3	Correct	378 ms	4176 KB	Output is correct
4	Correct	292 ms	4344 KB	Output is correct
5	Correct	290 ms	4348 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	477 ms	4944 KB	Output is correct
2	Correct	588 ms	5116 KB	Output is correct
3	Correct	539 ms	5128 KB	Output is correct
4	Correct	358 ms	4944 KB	Output is correct
5	Correct	351 ms	4944 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	571 ms	5124 KB	Output is correct
2	Correct	500 ms	5192 KB	Output is correct
3	Correct	436 ms	5128 KB	Output is correct
4	Correct	406 ms	4944 KB	Output is correct
5	Correct	363 ms	5124 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	593 ms	5900 KB	Output is correct
2	Correct	643 ms	5712 KB	Output is correct
3	Correct	645 ms	5908 KB	Output is correct
4	Correct	429 ms	5712 KB	Output is correct
5	Correct	399 ms	5924 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	672 ms	5908 KB	Output is correct
2	Correct	569 ms	5908 KB	Output is correct
3	Correct	590 ms	5912 KB	Output is correct
4	Correct	421 ms	5904 KB	Output is correct
5	Correct	424 ms	5712 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	619 ms	6480 KB	Output is correct
2	Correct	786 ms	6480 KB	Output is correct
3	Correct	716 ms	6688 KB	Output is correct
4	Correct	500 ms	22420 KB	Output is correct
5	Correct	497 ms	17736 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	765 ms	6736 KB	Output is correct
2	Correct	636 ms	6688 KB	Output is correct
3	Correct	601 ms	6684 KB	Output is correct
4	Correct	490 ms	6692 KB	Output is correct
5	Correct	479 ms	6696 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	774 ms	8016 KB	Output is correct
2	Correct	988 ms	8252 KB	Output is correct
3	Correct	942 ms	8252 KB	Output is correct
4	Correct	636 ms	8256 KB	Output is correct
5	Correct	563 ms	8016 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	969 ms	8260 KB	Output is correct
2	Correct	810 ms	21460 KB	Output is correct
3	Correct	808 ms	20532 KB	Output is correct
4	Correct	666 ms	27436 KB	Output is correct
5	Correct	616 ms	22956 KB	Output is correct

Submission #1109854

Compilation message