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Submission #669101

# Submission time Handle Problem Language Result Execution time Memory
669101 2022-12-05T17:14:05 Z hanlei35 Mobile (BOI12_mobile) C++17
100 / 100
 462 ms 35228 KB 
#include <iostream>
#include <cmath>
#include <iomanip>
using ll = long long;
using namespace std;

int N, L; 
pair<ll,ll> xy[1000005];
int main(){
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  cin >> N >> L;
  for(int i=0;i<N;i++){
    cin >> xy[i].first >> xy[i].second;
  }
  double l = 1, r = 1.5E9;
  while(r - l > 1E-4){
    double mid = (l+r)/2, curr = 0;
    for(int i=0;i<N;i++){
      double delta = sqrt(mid*mid - xy[i].second * xy[i].second);
      double a = xy[i].first - delta, b = xy[i].first + delta;
      if(a<=curr) curr = max(curr,b);
    }
    if(curr >= L) r = mid;
    else l = mid;
  }
  cout << fixed << setprecision(4) << l << "\n";
}

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 324 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 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 2 ms 392 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 2 ms 340 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 2 ms 468 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 3 ms 468 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 392 KB Output is correct
2 Correct 2 ms 464 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 3 ms 468 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 2 ms 468 KB Output is correct
3 Correct 2 ms 336 KB Output is correct
4 Correct 3 ms 468 KB Output is correct
5 Correct 2 ms 340 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 2260 KB Output is correct
2 Correct 26 ms 2516 KB Output is correct
3 Correct 15 ms 1772 KB Output is correct
4 Correct 29 ms 2604 KB Output is correct
5 Correct 14 ms 1492 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 2196 KB Output is correct
2 Correct 25 ms 2220 KB Output is correct
3 Correct 28 ms 2596 KB Output is correct
4 Correct 29 ms 2748 KB Output is correct
5 Correct 36 ms 3132 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 2388 KB Output is correct
2 Correct 27 ms 2756 KB Output is correct
3 Correct 24 ms 2612 KB Output is correct
4 Correct 41 ms 3808 KB Output is correct
5 Correct 29 ms 2508 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 3336 KB Output is correct
2 Correct 29 ms 3240 KB Output is correct
3 Correct 27 ms 2808 KB Output is correct
4 Correct 42 ms 3784 KB Output is correct
5 Correct 37 ms 3112 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 3392 KB Output is correct
2 Correct 28 ms 3204 KB Output is correct
3 Correct 31 ms 3020 KB Output is correct
4 Correct 42 ms 3940 KB Output is correct
5 Correct 35 ms 3052 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 120 ms 12344 KB Output is correct
2 Correct 147 ms 15860 KB Output is correct
3 Correct 146 ms 15304 KB Output is correct
4 Correct 210 ms 17732 KB Output is correct
5 Correct 173 ms 14956 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 146 ms 16284 KB Output is correct
2 Correct 232 ms 14804 KB Output is correct
3 Correct 141 ms 13772 KB Output is correct
4 Correct 207 ms 17564 KB Output is correct
5 Correct 193 ms 15552 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 156 ms 14884 KB Output is correct
2 Correct 186 ms 19000 KB Output is correct
3 Correct 185 ms 18440 KB Output is correct
4 Correct 251 ms 21516 KB Output is correct
5 Correct 218 ms 17656 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 185 ms 19624 KB Output is correct
2 Correct 274 ms 17628 KB Output is correct
3 Correct 197 ms 16496 KB Output is correct
4 Correct 256 ms 21556 KB Output is correct
5 Correct 249 ms 18436 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 186 ms 17328 KB Output is correct
2 Correct 204 ms 22120 KB Output is correct
3 Correct 201 ms 21440 KB Output is correct
4 Correct 297 ms 24920 KB Output is correct
5 Correct 252 ms 20308 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 212 ms 22736 KB Output is correct
2 Correct 306 ms 20520 KB Output is correct
3 Correct 206 ms 19652 KB Output is correct
4 Correct 294 ms 24560 KB Output is correct
5 Correct 259 ms 21500 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 202 ms 19772 KB Output is correct
2 Correct 239 ms 25136 KB Output is correct
3 Correct 232 ms 24484 KB Output is correct
4 Correct 331 ms 28492 KB Output is correct
5 Correct 297 ms 24044 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 262 ms 26016 KB Output is correct
2 Correct 357 ms 23408 KB Output is correct
3 Correct 241 ms 22368 KB Output is correct
4 Correct 339 ms 28288 KB Output is correct
5 Correct 309 ms 24492 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 242 ms 24604 KB Output is correct
2 Correct 310 ms 31516 KB Output is correct
3 Correct 300 ms 30524 KB Output is correct
4 Correct 417 ms 35184 KB Output is correct
5 Correct 354 ms 29568 KB Output is correct

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 319 ms 32400 KB Output is correct
2 Correct 435 ms 29176 KB Output is correct
3 Correct 292 ms 28144 KB Output is correct
4 Correct 462 ms 35228 KB Output is correct
5 Correct 372 ms 30612 KB Output is correct