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Submission #589111

# Submission time Handle Problem Language Result Execution time Memory
589111 2022-07-04T09:27:57 Z jakubd Mobile (BOI12_mobile) C++17
70 / 100
 1000 ms 35240 KB 
#include <bits/stdc++.h>

using namespace std;

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

  int n; double l; cin >> n >> l;

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

  long double lo = 0, ri = 1e9;
  while (fabs(lo - ri) > 1e-6) {
    long double m = (lo + ri) / 2, cur = 0;
    
    for (int i = 0; i < n; i++) {
      long 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 >= 1e-9) ri = m;
    else lo = m;
  }

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

  return 0;
};

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 320 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 320 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 340 KB Output is correct
2 Correct 2 ms 340 KB Output is correct
3 Correct 4 ms 328 KB Output is correct
4 Correct 3 ms 456 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 456 KB Output is correct
2 Correct 3 ms 596 KB Output is correct
3 Correct 3 ms 468 KB Output is correct
4 Correct 6 ms 596 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 460 KB Output is correct
2 Correct 2 ms 604 KB Output is correct
3 Correct 4 ms 468 KB Output is correct
4 Correct 7 ms 592 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 468 KB Output is correct
2 Correct 3 ms 548 KB Output is correct
3 Correct 3 ms 468 KB Output is correct
4 Correct 7 ms 596 KB Output is correct
5 Correct 5 ms 468 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 104 ms 2804 KB Output is correct
2 Correct 33 ms 2896 KB Output is correct
3 Correct 37 ms 2088 KB Output is correct
4 Correct 90 ms 3664 KB Output is correct
5 Correct 50 ms 1876 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 93 ms 2864 KB Output is correct
2 Correct 98 ms 2792 KB Output is correct
3 Correct 92 ms 2896 KB Output is correct
4 Correct 97 ms 3660 KB Output is correct
5 Correct 110 ms 3776 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 2896 KB Output is correct
2 Correct 47 ms 2872 KB Output is correct
3 Correct 68 ms 3348 KB Output is correct
4 Correct 266 ms 3912 KB Output is correct
5 Correct 96 ms 3408 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 2884 KB Output is correct
2 Correct 78 ms 2880 KB Output is correct
3 Correct 66 ms 3380 KB Output is correct
4 Correct 142 ms 3956 KB Output is correct
5 Correct 115 ms 3408 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 83 ms 2860 KB Output is correct
2 Correct 53 ms 2876 KB Output is correct
3 Correct 76 ms 3268 KB Output is correct
4 Correct 151 ms 3968 KB Output is correct
5 Correct 158 ms 3508 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 281 ms 8960 KB Output is correct
2 Correct 245 ms 9024 KB Output is correct
3 Correct 260 ms 15488 KB Output is correct
4 Correct 821 ms 17888 KB Output is correct
5 Correct 663 ms 15052 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 214 ms 8944 KB Output is correct
2 Correct 581 ms 14776 KB Output is correct
3 Correct 292 ms 14000 KB Output is correct
4 Correct 733 ms 17556 KB Output is correct
5 Correct 633 ms 15480 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 251 ms 17256 KB Output is correct
2 Correct 318 ms 17096 KB Output is correct
3 Correct 259 ms 24652 KB Output is correct
4 Correct 932 ms 27424 KB Output is correct
5 Correct 723 ms 24008 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 282 ms 17060 KB Output is correct
2 Correct 717 ms 23804 KB Output is correct
3 Correct 379 ms 23072 KB Output is correct
4 Correct 890 ms 27244 KB Output is correct
5 Correct 773 ms 24616 KB Output is correct

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 290 ms 17248 KB Output is correct
2 Correct 318 ms 17040 KB Output is correct
3 Correct 337 ms 24624 KB Output is correct
4 Execution timed out 1025 ms 27128 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #17
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 407 ms 17072 KB Output is correct
2 Execution timed out 1008 ms 23904 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 320 ms 17312 KB Output is correct
2 Correct 370 ms 16828 KB Output is correct
3 Correct 358 ms 24604 KB Output is correct
4 Execution timed out 1075 ms 28568 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 392 ms 16812 KB Output is correct
2 Execution timed out 1061 ms 23968 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 413 ms 16796 KB Output is correct
2 Correct 514 ms 16856 KB Output is correct
3 Correct 462 ms 30640 KB Output is correct
4 Execution timed out 1012 ms 35240 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #21
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 392 ms 16812 KB Output is correct
2 Execution timed out 1060 ms 29320 KB Time limit exceeded
3 Halted 0 ms 0 KB -