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Submission #1109853

# Submission time Handle Problem Language Result Execution time Memory
1109853 2024-11-07T20:10:22 Z vjudge1 Mobile (BOI12_mobile) C++17
90 / 100
 1000 ms 27208 KB 
#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-6 < 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(5) << 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 504 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 504 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 508 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 3 ms 336 KB Output is correct
2 Correct 3 ms 336 KB Output is correct
3 Correct 2 ms 336 KB Output is correct
4 Correct 4 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 5 ms 336 KB Output is correct
3 Correct 5 ms 516 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 6 ms 336 KB Output is correct
3 Correct 5 ms 508 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 5 ms 336 KB Output is correct
2 Correct 6 ms 336 KB Output is correct
3 Correct 5 ms 504 KB Output is correct
4 Correct 5 ms 336 KB Output is correct
5 Correct 4 ms 336 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 61 ms 1016 KB Output is correct
2 Correct 89 ms 1028 KB Output is correct
3 Correct 45 ms 1464 KB Output is correct
4 Correct 48 ms 2120 KB Output is correct
5 Correct 30 ms 1104 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 47 ms 848 KB Output is correct
2 Correct 42 ms 848 KB Output is correct
3 Correct 47 ms 848 KB Output is correct
4 Correct 48 ms 2068 KB Output is correct
5 Correct 53 ms 2376 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 1104 KB Output is correct
2 Correct 83 ms 1072 KB Output is correct
3 Correct 76 ms 1872 KB Output is correct
4 Correct 64 ms 3116 KB Output is correct
5 Correct 54 ms 2048 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 103 ms 1212 KB Output is correct
2 Correct 100 ms 2620 KB Output is correct
3 Correct 81 ms 2240 KB Output is correct
4 Correct 64 ms 3144 KB Output is correct
5 Correct 60 ms 2376 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 102 ms 1360 KB Output is correct
2 Correct 104 ms 2620 KB Output is correct
3 Correct 85 ms 2120 KB Output is correct
4 Correct 64 ms 2992 KB Output is correct
5 Correct 60 ms 2376 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 449 ms 4336 KB Output is correct
2 Correct 531 ms 11848 KB Output is correct
3 Correct 483 ms 11336 KB Output is correct
4 Correct 306 ms 13800 KB Output is correct
5 Correct 291 ms 11088 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 499 ms 4176 KB Output is correct
2 Correct 468 ms 10944 KB Output is correct
3 Correct 409 ms 10084 KB Output is correct
4 Correct 307 ms 13676 KB Output is correct
5 Correct 295 ms 11628 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 532 ms 4956 KB Output is correct
2 Correct 612 ms 14152 KB Output is correct
3 Correct 586 ms 13808 KB Output is correct
4 Correct 364 ms 16968 KB Output is correct
5 Correct 364 ms 13100 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 607 ms 4944 KB Output is correct
2 Correct 701 ms 13128 KB Output is correct
3 Correct 489 ms 11848 KB Output is correct
4 Correct 355 ms 16756 KB Output is correct
5 Correct 349 ms 13816 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 593 ms 5912 KB Output is correct
2 Correct 720 ms 16776 KB Output is correct
3 Correct 690 ms 16004 KB Output is correct
4 Correct 433 ms 19272 KB Output is correct
5 Correct 423 ms 14720 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 711 ms 5712 KB Output is correct
2 Correct 603 ms 15148 KB Output is correct
3 Correct 584 ms 14204 KB Output is correct
4 Correct 446 ms 19204 KB Output is correct
5 Correct 413 ms 15880 KB Output is correct

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 693 ms 6684 KB Output is correct
2 Correct 791 ms 18960 KB Output is correct
3 Execution timed out 1072 ms 18192 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 823 ms 6480 KB Output is correct
2 Correct 676 ms 17300 KB Output is correct
3 Correct 663 ms 16200 KB Output is correct
4 Correct 493 ms 22088 KB Output is correct
5 Correct 481 ms 18248 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 845 ms 8256 KB Output is correct
2 Correct 992 ms 23624 KB Output is correct
3 Correct 979 ms 22792 KB Output is correct
4 Correct 591 ms 27208 KB Output is correct
5 Correct 601 ms 21688 KB Output is correct

Subtask #21
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1044 ms 8016 KB Time limit exceeded
2 Halted 0 ms 0 KB -