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Submission #253199

# Submission time Handle Problem Language Result Execution time Memory
253199 2020-07-27T11:48:01 Z rama_pang Wish (LMIO19_noras) C++14
100 / 100
 731 ms 7308 KB 
#include <bits/stdc++.h>
using namespace std;

using lint = long long;
const double EPS = 1e-9;

int N, R;

double Evaluate(lint a, lint b, lint c, lint d, double t) {
  lint dx = c - a;
  lint dy = d - b;
  double x = (double) a + dx * t;
  double y = (double) b + dy * t;
  return x * x + y * y - (double(R) * double(R));
}

int main() {
  ios::sync_with_stdio(0);
  cin.tie(0), cout.tie(0);

  cin >> N >> R;
  vector<pair<lint, lint>> segs;
  for (int i = 0; i < N; i++) {
    int a, b, c, d;
    cin >> a >> b >> c >> d;
    double lo = 0, hi = 4e8;
    for (int rep = 0; rep < 160; rep++) {
      double md1 = (lo + lo + hi) / 3;
      double md2 = (lo + hi + hi) / 3;
      if (Evaluate(a, b, c, d, md1) < Evaluate(a, b, c, d, md2)) {
        hi = md2;
      } else {
        lo = md1;
      }
    }
    if (Evaluate(a, b, c, d, lo) > 0) {
      continue;
    }
    double piv = lo;
    lint l, r;
    {
      lint lo = 0, hi = ceil(piv);
      while (lo < hi) {
        lint md = (lo + hi) / 2;
        if (Evaluate(a, b, c, d, md) < EPS) {
          hi = md;
        } else {
          lo = md + 1;
        }
      }
      l = lo;
    }
    {
      lint lo = floor(piv), hi = 4e8;
      while (lo < hi) {
        double md = (lo + hi + 1) / 2;
        if (Evaluate(a, b, c, d, md) < EPS) {
          lo = md;
        } else {
          hi = md - 1;
        }
      }
      r = lo;
    }
    if (Evaluate(a, b, c, d, l) < EPS && Evaluate(a, b, c, d, r) < EPS && l <= r) {
      segs.emplace_back(ceil(l), floor(r));
    }
  }

  int ans = 0, cnt = 0;
  sort(begin(segs), end(segs));
  priority_queue<lint, vector<lint>, greater<lint>> pq;
  for (auto i : segs) {
    pq.emplace(i.second);
    cnt++;
    while (!pq.empty() && pq.top() < i.first) {
      pq.pop();
      cnt--;
    }
    ans = max(ans, cnt);
  }
  
  cout << ans << "\n";
  return 0;
}

Subtask #1
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 3 ms 384 KB Output is correct
5 Correct 3 ms 384 KB Output is correct
6 Correct 3 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 4 ms 384 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 4 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 4 ms 384 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 3 ms 384 KB Output is correct
5 Correct 3 ms 384 KB Output is correct
6 Correct 3 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 4 ms 384 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 4 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 4 ms 384 KB Output is correct
23 Correct 324 ms 3560 KB Output is correct
24 Correct 327 ms 3560 KB Output is correct
25 Correct 321 ms 3560 KB Output is correct
26 Correct 321 ms 3560 KB Output is correct
27 Correct 322 ms 2032 KB Output is correct
28 Correct 324 ms 2652 KB Output is correct
29 Correct 325 ms 2820 KB Output is correct
30 Correct 324 ms 2716 KB Output is correct
31 Correct 323 ms 2664 KB Output is correct
32 Correct 352 ms 2540 KB Output is correct
33 Correct 352 ms 2588 KB Output is correct
34 Correct 352 ms 2540 KB Output is correct
35 Correct 350 ms 2540 KB Output is correct
36 Correct 351 ms 2712 KB Output is correct
37 Correct 326 ms 2156 KB Output is correct
38 Correct 325 ms 2156 KB Output is correct
39 Correct 326 ms 1900 KB Output is correct
40 Correct 325 ms 2028 KB Output is correct
41 Correct 327 ms 2084 KB Output is correct
42 Correct 330 ms 1900 KB Output is correct
43 Correct 720 ms 7148 KB Output is correct
44 Correct 722 ms 7132 KB Output is correct
45 Correct 723 ms 7308 KB Output is correct
46 Correct 724 ms 7188 KB Output is correct
47 Correct 731 ms 7136 KB Output is correct
48 Correct 703 ms 4588 KB Output is correct
49 Correct 704 ms 4632 KB Output is correct
50 Correct 699 ms 4580 KB Output is correct
51 Correct 697 ms 4584 KB Output is correct
52 Correct 694 ms 4716 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 3 ms 384 KB Output is correct
5 Correct 3 ms 384 KB Output is correct
6 Correct 3 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 4 ms 384 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 4 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 4 ms 384 KB Output is correct
23 Correct 0 ms 384 KB Output is correct
24 Correct 4 ms 384 KB Output is correct
25 Correct 4 ms 384 KB Output is correct
26 Correct 4 ms 384 KB Output is correct
27 Correct 4 ms 384 KB Output is correct
28 Correct 4 ms 384 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 3 ms 384 KB Output is correct
5 Correct 3 ms 384 KB Output is correct
6 Correct 3 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 4 ms 384 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 4 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 4 ms 384 KB Output is correct
23 Correct 324 ms 3560 KB Output is correct
24 Correct 327 ms 3560 KB Output is correct
25 Correct 321 ms 3560 KB Output is correct
26 Correct 321 ms 3560 KB Output is correct
27 Correct 322 ms 2032 KB Output is correct
28 Correct 324 ms 2652 KB Output is correct
29 Correct 325 ms 2820 KB Output is correct
30 Correct 324 ms 2716 KB Output is correct
31 Correct 323 ms 2664 KB Output is correct
32 Correct 352 ms 2540 KB Output is correct
33 Correct 352 ms 2588 KB Output is correct
34 Correct 352 ms 2540 KB Output is correct
35 Correct 350 ms 2540 KB Output is correct
36 Correct 351 ms 2712 KB Output is correct
37 Correct 326 ms 2156 KB Output is correct
38 Correct 325 ms 2156 KB Output is correct
39 Correct 326 ms 1900 KB Output is correct
40 Correct 325 ms 2028 KB Output is correct
41 Correct 327 ms 2084 KB Output is correct
42 Correct 330 ms 1900 KB Output is correct
43 Correct 720 ms 7148 KB Output is correct
44 Correct 722 ms 7132 KB Output is correct
45 Correct 723 ms 7308 KB Output is correct
46 Correct 724 ms 7188 KB Output is correct
47 Correct 731 ms 7136 KB Output is correct
48 Correct 703 ms 4588 KB Output is correct
49 Correct 704 ms 4632 KB Output is correct
50 Correct 699 ms 4580 KB Output is correct
51 Correct 697 ms 4584 KB Output is correct
52 Correct 694 ms 4716 KB Output is correct
53 Correct 320 ms 3700 KB Output is correct
54 Correct 313 ms 1548 KB Output is correct
55 Correct 314 ms 1688 KB Output is correct
56 Correct 317 ms 1648 KB Output is correct
57 Correct 325 ms 1652 KB Output is correct
58 Correct 321 ms 1524 KB Output is correct
59 Correct 325 ms 1524 KB Output is correct
60 Correct 328 ms 1524 KB Output is correct
61 Correct 328 ms 1524 KB Output is correct
62 Correct 352 ms 2516 KB Output is correct
63 Correct 349 ms 2544 KB Output is correct
64 Correct 350 ms 2652 KB Output is correct
65 Correct 348 ms 2540 KB Output is correct
66 Correct 349 ms 2544 KB Output is correct
67 Correct 323 ms 2028 KB Output is correct
68 Correct 330 ms 2540 KB Output is correct
69 Correct 326 ms 2540 KB Output is correct
70 Correct 332 ms 2012 KB Output is correct
71 Correct 705 ms 6368 KB Output is correct
72 Correct 710 ms 6368 KB Output is correct
73 Correct 706 ms 6556 KB Output is correct
74 Correct 708 ms 6488 KB Output is correct
75 Correct 710 ms 6500 KB Output is correct
76 Correct 709 ms 4712 KB Output is correct
77 Correct 704 ms 4608 KB Output is correct
78 Correct 708 ms 4720 KB Output is correct
79 Correct 696 ms 4596 KB Output is correct
80 Correct 702 ms 4584 KB Output is correct
81 Correct 0 ms 384 KB Output is correct
82 Correct 4 ms 384 KB Output is correct
83 Correct 4 ms 384 KB Output is correct
84 Correct 4 ms 384 KB Output is correct
85 Correct 4 ms 384 KB Output is correct
86 Correct 4 ms 384 KB Output is correct

Subtask #5
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 3 ms 384 KB Output is correct
5 Correct 3 ms 384 KB Output is correct
6 Correct 3 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 4 ms 384 KB Output is correct
15 Correct 4 ms 384 KB Output is correct
16 Correct 4 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 4 ms 384 KB Output is correct
19 Correct 4 ms 384 KB Output is correct
20 Correct 4 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 4 ms 384 KB Output is correct
23 Correct 324 ms 3560 KB Output is correct
24 Correct 327 ms 3560 KB Output is correct
25 Correct 321 ms 3560 KB Output is correct
26 Correct 321 ms 3560 KB Output is correct
27 Correct 322 ms 2032 KB Output is correct
28 Correct 324 ms 2652 KB Output is correct
29 Correct 325 ms 2820 KB Output is correct
30 Correct 324 ms 2716 KB Output is correct
31 Correct 323 ms 2664 KB Output is correct
32 Correct 352 ms 2540 KB Output is correct
33 Correct 352 ms 2588 KB Output is correct
34 Correct 352 ms 2540 KB Output is correct
35 Correct 350 ms 2540 KB Output is correct
36 Correct 351 ms 2712 KB Output is correct
37 Correct 326 ms 2156 KB Output is correct
38 Correct 325 ms 2156 KB Output is correct
39 Correct 326 ms 1900 KB Output is correct
40 Correct 325 ms 2028 KB Output is correct
41 Correct 327 ms 2084 KB Output is correct
42 Correct 330 ms 1900 KB Output is correct
43 Correct 720 ms 7148 KB Output is correct
44 Correct 722 ms 7132 KB Output is correct
45 Correct 723 ms 7308 KB Output is correct
46 Correct 724 ms 7188 KB Output is correct
47 Correct 731 ms 7136 KB Output is correct
48 Correct 703 ms 4588 KB Output is correct
49 Correct 704 ms 4632 KB Output is correct
50 Correct 699 ms 4580 KB Output is correct
51 Correct 697 ms 4584 KB Output is correct
52 Correct 694 ms 4716 KB Output is correct
53 Correct 320 ms 3700 KB Output is correct
54 Correct 313 ms 1548 KB Output is correct
55 Correct 314 ms 1688 KB Output is correct
56 Correct 317 ms 1648 KB Output is correct
57 Correct 325 ms 1652 KB Output is correct
58 Correct 321 ms 1524 KB Output is correct
59 Correct 325 ms 1524 KB Output is correct
60 Correct 328 ms 1524 KB Output is correct
61 Correct 328 ms 1524 KB Output is correct
62 Correct 352 ms 2516 KB Output is correct
63 Correct 349 ms 2544 KB Output is correct
64 Correct 350 ms 2652 KB Output is correct
65 Correct 348 ms 2540 KB Output is correct
66 Correct 349 ms 2544 KB Output is correct
67 Correct 323 ms 2028 KB Output is correct
68 Correct 330 ms 2540 KB Output is correct
69 Correct 326 ms 2540 KB Output is correct
70 Correct 332 ms 2012 KB Output is correct
71 Correct 705 ms 6368 KB Output is correct
72 Correct 710 ms 6368 KB Output is correct
73 Correct 706 ms 6556 KB Output is correct
74 Correct 708 ms 6488 KB Output is correct
75 Correct 710 ms 6500 KB Output is correct
76 Correct 709 ms 4712 KB Output is correct
77 Correct 704 ms 4608 KB Output is correct
78 Correct 708 ms 4720 KB Output is correct
79 Correct 696 ms 4596 KB Output is correct
80 Correct 702 ms 4584 KB Output is correct
81 Correct 352 ms 1580 KB Output is correct
82 Correct 350 ms 1652 KB Output is correct
83 Correct 347 ms 1524 KB Output is correct
84 Correct 345 ms 1524 KB Output is correct
85 Correct 346 ms 1548 KB Output is correct
86 Correct 353 ms 1524 KB Output is correct
87 Correct 356 ms 1524 KB Output is correct
88 Correct 361 ms 1532 KB Output is correct
89 Correct 355 ms 1528 KB Output is correct
90 Correct 356 ms 1652 KB Output is correct
91 Correct 330 ms 3688 KB Output is correct
92 Correct 335 ms 4008 KB Output is correct
93 Correct 335 ms 3568 KB Output is correct
94 Correct 338 ms 3736 KB Output is correct
95 Correct 334 ms 3740 KB Output is correct
96 Correct 334 ms 3556 KB Output is correct
97 Correct 333 ms 3560 KB Output is correct
98 Correct 330 ms 3560 KB Output is correct
99 Correct 331 ms 3684 KB Output is correct
100 Correct 332 ms 3652 KB Output is correct
101 Correct 0 ms 384 KB Output is correct
102 Correct 4 ms 384 KB Output is correct
103 Correct 4 ms 384 KB Output is correct
104 Correct 4 ms 384 KB Output is correct
105 Correct 4 ms 384 KB Output is correct
106 Correct 4 ms 384 KB Output is correct