Submission #623529

# Submission time Handle Problem Language Result Execution time Memory
623529 2022-08-05T18:59:26 Z ipaljak Wish (LMIO19_noras) C++14
100 / 100
424 ms 11988 KB
#include <bits/stdc++.h>

using namespace std;

typedef long long llint;

const int MAXN = 2e5 + 10;

int n;
llint r;

vector<pair<llint, int>> event;

inline double dst(llint x, llint y) {
  return sqrt((double)x * x + (double)y * y);
}

llint closest(llint x, llint y, llint dx, llint dy) {
  llint lo = 0, hi = 1e9;
  while (hi - lo >= 3) {
    llint m1 = lo + (hi - lo) / 3;
    llint m2 = hi - (hi - lo) / 3;
    if (dst(x + m1 * dx, y + m1 * dy) > dst(x + m2 * dx, y + m2 * dy))
      lo = m1;
    else
      hi = m2;
  }
  llint ret = lo;
  for (llint i = lo + 1; i <= hi; ++i)
    if (dst(x + i * dx, y + i * dy) < dst(x + ret * dx, y + ret * dy))
      ret = i;
  return ret;
}

llint find_lo(llint x, llint y, llint dx, llint dy, llint lo, llint hi) {
  while (lo < hi) {
    llint mid = (lo + hi) / 2;
    if (dst(x + mid * dx, y + mid * dy) > r) lo = mid + 1; else hi = mid;
  }
  return lo;
}

llint find_hi(llint x, llint y, llint dx, llint dy, llint lo, llint hi) {
  while (lo < hi) {
    llint mid = (lo + hi) / 2 + 1;
    if (dst(x + mid * dx, y + mid * dy) <= r) lo = mid; else hi = mid - 1;
  }
  return lo;
}

void find_interval(llint a, llint b, llint c, llint d) {
   llint dx = c - a, dy = d - b;
   llint k = closest(a, b, dx, dy);
   //cerr << k << endl;
   //cerr << dst(a + k * dx, b + k * dy) << " " << r << endl;
   if (dst(a + k * dx, b + k * dy) > r) return;
   llint lo = find_lo(a, b, dx, dy, 0, k);
   llint hi = find_hi(a, b, dx, dy, k, 1e9);
   //cerr << lo << " " << hi << endl;
   if (hi < 0LL) return;
   lo = max(lo, 0LL);
   event.emplace_back(lo, 1);
   event.emplace_back(hi + 1, -1);
}

int main(void) {
  scanf("%d%lld", &n, &r);
  for (int i = 0; i < n; ++i) {
    llint a, b, c, d;
    scanf("%lld%lld%lld%lld", &a, &b, &c, &d);
    find_interval(a, b, c, d);
  }

  sort(event.begin(), event.end());

  int curr = 0, sol = 0;
  for (auto &p : event) {
    curr += p.second;
    sol = max(sol, curr);
  }

  printf("%d\n", sol);
  return 0;
}

Compilation message

noras.cpp: In function 'int main()':
noras.cpp:67:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   67 |   scanf("%d%lld", &n, &r);
      |   ~~~~~^~~~~~~~~~~~~~~~~~
noras.cpp:70:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   70 |     scanf("%lld%lld%lld%lld", &a, &b, &c, &d);
      |     ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 2 ms 212 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 2 ms 312 KB Output is correct
6 Correct 2 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 304 KB Output is correct
11 Correct 0 ms 304 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 3 ms 340 KB Output is correct
15 Correct 2 ms 316 KB Output is correct
16 Correct 3 ms 340 KB Output is correct
17 Correct 2 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 2 ms 340 KB Output is correct
21 Correct 2 ms 316 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 2 ms 212 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 2 ms 312 KB Output is correct
6 Correct 2 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 304 KB Output is correct
11 Correct 0 ms 304 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 3 ms 340 KB Output is correct
15 Correct 2 ms 316 KB Output is correct
16 Correct 3 ms 340 KB Output is correct
17 Correct 2 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 2 ms 340 KB Output is correct
21 Correct 2 ms 316 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 184 ms 5688 KB Output is correct
24 Correct 183 ms 5820 KB Output is correct
25 Correct 182 ms 5688 KB Output is correct
26 Correct 182 ms 5688 KB Output is correct
27 Correct 161 ms 3816 KB Output is correct
28 Correct 177 ms 5800 KB Output is correct
29 Correct 177 ms 5944 KB Output is correct
30 Correct 179 ms 5804 KB Output is correct
31 Correct 181 ms 5816 KB Output is correct
32 Correct 207 ms 5804 KB Output is correct
33 Correct 205 ms 5864 KB Output is correct
34 Correct 205 ms 5832 KB Output is correct
35 Correct 204 ms 5816 KB Output is correct
36 Correct 210 ms 5852 KB Output is correct
37 Correct 171 ms 3928 KB Output is correct
38 Correct 168 ms 3896 KB Output is correct
39 Correct 160 ms 3904 KB Output is correct
40 Correct 166 ms 3844 KB Output is correct
41 Correct 161 ms 3960 KB Output is correct
42 Correct 163 ms 4032 KB Output is correct
43 Correct 416 ms 11488 KB Output is correct
44 Correct 423 ms 11676 KB Output is correct
45 Correct 421 ms 11488 KB Output is correct
46 Correct 423 ms 11520 KB Output is correct
47 Correct 424 ms 11556 KB Output is correct
48 Correct 404 ms 11164 KB Output is correct
49 Correct 414 ms 11160 KB Output is correct
50 Correct 408 ms 11064 KB Output is correct
51 Correct 405 ms 11184 KB Output is correct
52 Correct 402 ms 11128 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 2 ms 212 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 2 ms 312 KB Output is correct
6 Correct 2 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 304 KB Output is correct
11 Correct 0 ms 304 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 3 ms 340 KB Output is correct
15 Correct 2 ms 316 KB Output is correct
16 Correct 3 ms 340 KB Output is correct
17 Correct 2 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 2 ms 340 KB Output is correct
21 Correct 2 ms 316 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 3 ms 316 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 2 ms 340 KB Output is correct
27 Correct 3 ms 340 KB Output is correct
28 Correct 3 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 2 ms 212 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 2 ms 312 KB Output is correct
6 Correct 2 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 304 KB Output is correct
11 Correct 0 ms 304 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 3 ms 340 KB Output is correct
15 Correct 2 ms 316 KB Output is correct
16 Correct 3 ms 340 KB Output is correct
17 Correct 2 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 2 ms 340 KB Output is correct
21 Correct 2 ms 316 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 184 ms 5688 KB Output is correct
24 Correct 183 ms 5820 KB Output is correct
25 Correct 182 ms 5688 KB Output is correct
26 Correct 182 ms 5688 KB Output is correct
27 Correct 161 ms 3816 KB Output is correct
28 Correct 177 ms 5800 KB Output is correct
29 Correct 177 ms 5944 KB Output is correct
30 Correct 179 ms 5804 KB Output is correct
31 Correct 181 ms 5816 KB Output is correct
32 Correct 207 ms 5804 KB Output is correct
33 Correct 205 ms 5864 KB Output is correct
34 Correct 205 ms 5832 KB Output is correct
35 Correct 204 ms 5816 KB Output is correct
36 Correct 210 ms 5852 KB Output is correct
37 Correct 171 ms 3928 KB Output is correct
38 Correct 168 ms 3896 KB Output is correct
39 Correct 160 ms 3904 KB Output is correct
40 Correct 166 ms 3844 KB Output is correct
41 Correct 161 ms 3960 KB Output is correct
42 Correct 163 ms 4032 KB Output is correct
43 Correct 416 ms 11488 KB Output is correct
44 Correct 423 ms 11676 KB Output is correct
45 Correct 421 ms 11488 KB Output is correct
46 Correct 423 ms 11520 KB Output is correct
47 Correct 424 ms 11556 KB Output is correct
48 Correct 404 ms 11164 KB Output is correct
49 Correct 414 ms 11160 KB Output is correct
50 Correct 408 ms 11064 KB Output is correct
51 Correct 405 ms 11184 KB Output is correct
52 Correct 402 ms 11128 KB Output is correct
53 Correct 0 ms 212 KB Output is correct
54 Correct 3 ms 316 KB Output is correct
55 Correct 2 ms 340 KB Output is correct
56 Correct 2 ms 340 KB Output is correct
57 Correct 3 ms 340 KB Output is correct
58 Correct 3 ms 340 KB Output is correct
59 Correct 184 ms 5788 KB Output is correct
60 Correct 162 ms 4012 KB Output is correct
61 Correct 166 ms 4016 KB Output is correct
62 Correct 168 ms 4316 KB Output is correct
63 Correct 167 ms 4096 KB Output is correct
64 Correct 164 ms 4160 KB Output is correct
65 Correct 168 ms 4064 KB Output is correct
66 Correct 168 ms 4096 KB Output is correct
67 Correct 166 ms 4008 KB Output is correct
68 Correct 205 ms 5988 KB Output is correct
69 Correct 203 ms 5960 KB Output is correct
70 Correct 199 ms 6012 KB Output is correct
71 Correct 221 ms 6056 KB Output is correct
72 Correct 204 ms 5944 KB Output is correct
73 Correct 166 ms 3788 KB Output is correct
74 Correct 169 ms 6024 KB Output is correct
75 Correct 177 ms 5956 KB Output is correct
76 Correct 167 ms 4008 KB Output is correct
77 Correct 394 ms 11952 KB Output is correct
78 Correct 404 ms 11988 KB Output is correct
79 Correct 402 ms 11864 KB Output is correct
80 Correct 399 ms 11892 KB Output is correct
81 Correct 395 ms 11948 KB Output is correct
82 Correct 405 ms 11420 KB Output is correct
83 Correct 402 ms 11324 KB Output is correct
84 Correct 404 ms 11524 KB Output is correct
85 Correct 398 ms 11440 KB Output is correct
86 Correct 408 ms 11384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 2 ms 212 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 2 ms 312 KB Output is correct
6 Correct 2 ms 340 KB Output is correct
7 Correct 2 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 304 KB Output is correct
11 Correct 0 ms 304 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 3 ms 340 KB Output is correct
15 Correct 2 ms 316 KB Output is correct
16 Correct 3 ms 340 KB Output is correct
17 Correct 2 ms 340 KB Output is correct
18 Correct 2 ms 340 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 2 ms 340 KB Output is correct
21 Correct 2 ms 316 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 184 ms 5688 KB Output is correct
24 Correct 183 ms 5820 KB Output is correct
25 Correct 182 ms 5688 KB Output is correct
26 Correct 182 ms 5688 KB Output is correct
27 Correct 161 ms 3816 KB Output is correct
28 Correct 177 ms 5800 KB Output is correct
29 Correct 177 ms 5944 KB Output is correct
30 Correct 179 ms 5804 KB Output is correct
31 Correct 181 ms 5816 KB Output is correct
32 Correct 207 ms 5804 KB Output is correct
33 Correct 205 ms 5864 KB Output is correct
34 Correct 205 ms 5832 KB Output is correct
35 Correct 204 ms 5816 KB Output is correct
36 Correct 210 ms 5852 KB Output is correct
37 Correct 171 ms 3928 KB Output is correct
38 Correct 168 ms 3896 KB Output is correct
39 Correct 160 ms 3904 KB Output is correct
40 Correct 166 ms 3844 KB Output is correct
41 Correct 161 ms 3960 KB Output is correct
42 Correct 163 ms 4032 KB Output is correct
43 Correct 416 ms 11488 KB Output is correct
44 Correct 423 ms 11676 KB Output is correct
45 Correct 421 ms 11488 KB Output is correct
46 Correct 423 ms 11520 KB Output is correct
47 Correct 424 ms 11556 KB Output is correct
48 Correct 404 ms 11164 KB Output is correct
49 Correct 414 ms 11160 KB Output is correct
50 Correct 408 ms 11064 KB Output is correct
51 Correct 405 ms 11184 KB Output is correct
52 Correct 402 ms 11128 KB Output is correct
53 Correct 184 ms 5788 KB Output is correct
54 Correct 162 ms 4012 KB Output is correct
55 Correct 166 ms 4016 KB Output is correct
56 Correct 168 ms 4316 KB Output is correct
57 Correct 167 ms 4096 KB Output is correct
58 Correct 164 ms 4160 KB Output is correct
59 Correct 168 ms 4064 KB Output is correct
60 Correct 168 ms 4096 KB Output is correct
61 Correct 166 ms 4008 KB Output is correct
62 Correct 205 ms 5988 KB Output is correct
63 Correct 203 ms 5960 KB Output is correct
64 Correct 199 ms 6012 KB Output is correct
65 Correct 221 ms 6056 KB Output is correct
66 Correct 204 ms 5944 KB Output is correct
67 Correct 166 ms 3788 KB Output is correct
68 Correct 169 ms 6024 KB Output is correct
69 Correct 177 ms 5956 KB Output is correct
70 Correct 167 ms 4008 KB Output is correct
71 Correct 394 ms 11952 KB Output is correct
72 Correct 404 ms 11988 KB Output is correct
73 Correct 402 ms 11864 KB Output is correct
74 Correct 399 ms 11892 KB Output is correct
75 Correct 395 ms 11948 KB Output is correct
76 Correct 405 ms 11420 KB Output is correct
77 Correct 402 ms 11324 KB Output is correct
78 Correct 404 ms 11524 KB Output is correct
79 Correct 398 ms 11440 KB Output is correct
80 Correct 408 ms 11384 KB Output is correct
81 Correct 0 ms 212 KB Output is correct
82 Correct 3 ms 316 KB Output is correct
83 Correct 2 ms 340 KB Output is correct
84 Correct 2 ms 340 KB Output is correct
85 Correct 3 ms 340 KB Output is correct
86 Correct 3 ms 340 KB Output is correct
87 Correct 182 ms 5432 KB Output is correct
88 Correct 180 ms 5444 KB Output is correct
89 Correct 180 ms 5320 KB Output is correct
90 Correct 176 ms 5428 KB Output is correct
91 Correct 176 ms 5432 KB Output is correct
92 Correct 180 ms 5548 KB Output is correct
93 Correct 181 ms 5316 KB Output is correct
94 Correct 180 ms 5524 KB Output is correct
95 Correct 186 ms 5472 KB Output is correct
96 Correct 184 ms 5360 KB Output is correct
97 Correct 187 ms 6192 KB Output is correct
98 Correct 186 ms 6204 KB Output is correct
99 Correct 190 ms 6308 KB Output is correct
100 Correct 185 ms 6424 KB Output is correct
101 Correct 185 ms 6192 KB Output is correct
102 Correct 188 ms 6308 KB Output is correct
103 Correct 198 ms 6192 KB Output is correct
104 Correct 187 ms 6264 KB Output is correct
105 Correct 191 ms 6376 KB Output is correct
106 Correct 189 ms 6300 KB Output is correct