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Submission #253171

# Submission time Handle Problem Language Result Execution time Memory
253171 2020-07-27T09:21:09 Z Nightlight Wish (LMIO19_noras) C++14
100 / 100
 194 ms 8188 KB 
#include <bits/stdc++.h>
#define point pair<long long, long long>
#define pii pair<int, bool>
using namespace std;

const long long limit = 2e8;

int N;
long long R;
long long a, b, c, d;
vector<pii> seg;

//a*x + b*y = c
//m = p/q


long long x_1, y_1, x_2, y_2, vx, vy;
long long p, q;
long double xx, yy;//terdekat

bool check(long long mid) {
  long long a = x_1 + mid * vx, b = y_1 + mid * vy;
  if(a > limit || a < -limit || b > limit || b < -limit) return 0;
  return a * a + b * b <= R * R;
}

int main() {
  ios_base::sync_with_stdio(0);
  cin >> N >> R;
  long long l, r, res, mid;
  long long lb, ub;
  for(int i = 1; i <= N; i++) {
    cin >> x_1 >> y_1 >> x_2 >> y_2;
    if(x_1 == x_2) swap(x_1, y_1), swap(x_2, y_2);
    p = y_2 - y_1, q = x_2 - x_1;
    vx = q, vy = p;
//    cout << i << " " << p << " " << q << "\n";
    xx = (long double)(q * y_1 - p * x_1) * -p / (q * q + p * p);
    yy = (long double)(q * y_1 - p * x_1) * q / (q * q + p * p);
//    cout << xx << " " << yy << "\n";
    //kalau tedekat > R
    if(xx * xx + yy * yy > R * R) continue;
    //kalau ga bakal ketemu yang terdekat
    if(((x_1 > x_2) ^ (x_1 > xx)) || ((y_1 > y_2) ^ (y_1 > yy)) || (x_1 == xx)) {
//    	cout << "A\n";
      if(x_1 * x_1 + y_1 * y_1 > R * R) continue;
      else {
        l = 0, r = limit;
        while(l <= r) {
          mid = (l + r) >> 1;
          if(check(mid)) {
            l = mid + 1;
            res = mid;
          }else r = mid - 1;
        }
        seg.emplace_back(0, 1);
        seg.emplace_back(res + 1, 0);
      }
    }else {
//    	cout << "B\n";
      //cari yang bawah dulu
      l = 0, r = floor((x_1 - xx) / (x_1 - x_2)), lb = -1;
      while(l <= r) {
        mid = (l + r) >> 1;
        if(check(mid)) {
          r = mid - 1;
          lb = mid;
        }else l = mid + 1;
      }
      l = lb, r = limit, ub = -1;
      if(lb == -1) l = ceil((x_1 - xx) / (x_1 - x_2));
      while(l <= r) {
        mid = (l + r) >> 1;
        if(check(mid)) {
          l = mid + 1;
          ub = mid;
        }else r = mid - 1;
      }
      if(ub == -1 && lb == -1) continue;
      if(ub == -1) ub = floor((x_1 - xx) / (x_1 - x_2));
      if(lb == -1) lb = ceil((x_1 - xx) / (x_1 - x_2));
      seg.emplace_back(lb, 1);
      seg.emplace_back(ub + 1, 0);
    }
  }
  sort(seg.begin(), seg.end());
  seg.emplace_back(limit, 1);
  //linesweep
  long long now;
  int cnt = 0, ans = 0;
  for(int i = 0; i < seg.size() - 1;) {
    now = seg[i].first;
    while(now == seg[i].first) {
      if(seg[i].second) cnt++;
      else cnt--;
      i++;
    }
    ans = max(ans, cnt);
  }
  cout << ans << "\n";
  cin >> N;
}

Compilation message

noras.cpp: In function 'int main()':
noras.cpp:91:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i = 0; i < seg.size() - 1;) {
                  ~~^~~~~~~~~~~~~~~~
noras.cpp:57:30: warning: 'res' may be used uninitialized in this function [-Wmaybe-uninitialized]
         seg.emplace_back(res + 1, 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 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 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 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 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 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 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 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 80 ms 3820 KB Output is correct
24 Correct 72 ms 3844 KB Output is correct
25 Correct 74 ms 3820 KB Output is correct
26 Correct 75 ms 3824 KB Output is correct
27 Correct 61 ms 3180 KB Output is correct
28 Correct 64 ms 3952 KB Output is correct
29 Correct 63 ms 3952 KB Output is correct
30 Correct 61 ms 4080 KB Output is correct
31 Correct 63 ms 3952 KB Output is correct
32 Correct 88 ms 3948 KB Output is correct
33 Correct 82 ms 3968 KB Output is correct
34 Correct 79 ms 3964 KB Output is correct
35 Correct 93 ms 3952 KB Output is correct
36 Correct 83 ms 3952 KB Output is correct
37 Correct 83 ms 3184 KB Output is correct
38 Correct 88 ms 3052 KB Output is correct
39 Correct 70 ms 3060 KB Output is correct
40 Correct 75 ms 2932 KB Output is correct
41 Correct 78 ms 3060 KB Output is correct
42 Correct 64 ms 3188 KB Output is correct
43 Correct 185 ms 8076 KB Output is correct
44 Correct 189 ms 7904 KB Output is correct
45 Correct 183 ms 7904 KB Output is correct
46 Correct 190 ms 7912 KB Output is correct
47 Correct 194 ms 8188 KB Output is correct
48 Correct 168 ms 7144 KB Output is correct
49 Correct 180 ms 7272 KB Output is correct
50 Correct 164 ms 7140 KB Output is correct
51 Correct 161 ms 7312 KB Output is correct
52 Correct 167 ms 7144 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 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 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 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 0 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 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 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 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 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 80 ms 3820 KB Output is correct
24 Correct 72 ms 3844 KB Output is correct
25 Correct 74 ms 3820 KB Output is correct
26 Correct 75 ms 3824 KB Output is correct
27 Correct 61 ms 3180 KB Output is correct
28 Correct 64 ms 3952 KB Output is correct
29 Correct 63 ms 3952 KB Output is correct
30 Correct 61 ms 4080 KB Output is correct
31 Correct 63 ms 3952 KB Output is correct
32 Correct 88 ms 3948 KB Output is correct
33 Correct 82 ms 3968 KB Output is correct
34 Correct 79 ms 3964 KB Output is correct
35 Correct 93 ms 3952 KB Output is correct
36 Correct 83 ms 3952 KB Output is correct
37 Correct 83 ms 3184 KB Output is correct
38 Correct 88 ms 3052 KB Output is correct
39 Correct 70 ms 3060 KB Output is correct
40 Correct 75 ms 2932 KB Output is correct
41 Correct 78 ms 3060 KB Output is correct
42 Correct 64 ms 3188 KB Output is correct
43 Correct 185 ms 8076 KB Output is correct
44 Correct 189 ms 7904 KB Output is correct
45 Correct 183 ms 7904 KB Output is correct
46 Correct 190 ms 7912 KB Output is correct
47 Correct 194 ms 8188 KB Output is correct
48 Correct 168 ms 7144 KB Output is correct
49 Correct 180 ms 7272 KB Output is correct
50 Correct 164 ms 7140 KB Output is correct
51 Correct 161 ms 7312 KB Output is correct
52 Correct 167 ms 7144 KB Output is correct
53 Correct 73 ms 3824 KB Output is correct
54 Correct 64 ms 3312 KB Output is correct
55 Correct 69 ms 3312 KB Output is correct
56 Correct 73 ms 3308 KB Output is correct
57 Correct 64 ms 3268 KB Output is correct
58 Correct 64 ms 3276 KB Output is correct
59 Correct 61 ms 3312 KB Output is correct
60 Correct 63 ms 3308 KB Output is correct
61 Correct 63 ms 3188 KB Output is correct
62 Correct 85 ms 4080 KB Output is correct
63 Correct 86 ms 4080 KB Output is correct
64 Correct 81 ms 4080 KB Output is correct
65 Correct 83 ms 4080 KB Output is correct
66 Correct 83 ms 4076 KB Output is correct
67 Correct 73 ms 2924 KB Output is correct
68 Correct 77 ms 4080 KB Output is correct
69 Correct 77 ms 4080 KB Output is correct
70 Correct 71 ms 3060 KB Output is correct
71 Correct 180 ms 7916 KB Output is correct
72 Correct 188 ms 7912 KB Output is correct
73 Correct 168 ms 7912 KB Output is correct
74 Correct 167 ms 7912 KB Output is correct
75 Correct 174 ms 7912 KB Output is correct
76 Correct 172 ms 7528 KB Output is correct
77 Correct 174 ms 7400 KB Output is correct
78 Correct 176 ms 7560 KB Output is correct
79 Correct 180 ms 7400 KB Output is correct
80 Correct 173 ms 7400 KB Output is correct
81 Correct 0 ms 384 KB Output is correct
82 Correct 1 ms 384 KB Output is correct
83 Correct 1 ms 384 KB Output is correct
84 Correct 1 ms 384 KB Output is correct
85 Correct 1 ms 384 KB Output is correct
86 Correct 1 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 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 1 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 1 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 80 ms 3820 KB Output is correct
24 Correct 72 ms 3844 KB Output is correct
25 Correct 74 ms 3820 KB Output is correct
26 Correct 75 ms 3824 KB Output is correct
27 Correct 61 ms 3180 KB Output is correct
28 Correct 64 ms 3952 KB Output is correct
29 Correct 63 ms 3952 KB Output is correct
30 Correct 61 ms 4080 KB Output is correct
31 Correct 63 ms 3952 KB Output is correct
32 Correct 88 ms 3948 KB Output is correct
33 Correct 82 ms 3968 KB Output is correct
34 Correct 79 ms 3964 KB Output is correct
35 Correct 93 ms 3952 KB Output is correct
36 Correct 83 ms 3952 KB Output is correct
37 Correct 83 ms 3184 KB Output is correct
38 Correct 88 ms 3052 KB Output is correct
39 Correct 70 ms 3060 KB Output is correct
40 Correct 75 ms 2932 KB Output is correct
41 Correct 78 ms 3060 KB Output is correct
42 Correct 64 ms 3188 KB Output is correct
43 Correct 185 ms 8076 KB Output is correct
44 Correct 189 ms 7904 KB Output is correct
45 Correct 183 ms 7904 KB Output is correct
46 Correct 190 ms 7912 KB Output is correct
47 Correct 194 ms 8188 KB Output is correct
48 Correct 168 ms 7144 KB Output is correct
49 Correct 180 ms 7272 KB Output is correct
50 Correct 164 ms 7140 KB Output is correct
51 Correct 161 ms 7312 KB Output is correct
52 Correct 167 ms 7144 KB Output is correct
53 Correct 73 ms 3824 KB Output is correct
54 Correct 64 ms 3312 KB Output is correct
55 Correct 69 ms 3312 KB Output is correct
56 Correct 73 ms 3308 KB Output is correct
57 Correct 64 ms 3268 KB Output is correct
58 Correct 64 ms 3276 KB Output is correct
59 Correct 61 ms 3312 KB Output is correct
60 Correct 63 ms 3308 KB Output is correct
61 Correct 63 ms 3188 KB Output is correct
62 Correct 85 ms 4080 KB Output is correct
63 Correct 86 ms 4080 KB Output is correct
64 Correct 81 ms 4080 KB Output is correct
65 Correct 83 ms 4080 KB Output is correct
66 Correct 83 ms 4076 KB Output is correct
67 Correct 73 ms 2924 KB Output is correct
68 Correct 77 ms 4080 KB Output is correct
69 Correct 77 ms 4080 KB Output is correct
70 Correct 71 ms 3060 KB Output is correct
71 Correct 180 ms 7916 KB Output is correct
72 Correct 188 ms 7912 KB Output is correct
73 Correct 168 ms 7912 KB Output is correct
74 Correct 167 ms 7912 KB Output is correct
75 Correct 174 ms 7912 KB Output is correct
76 Correct 172 ms 7528 KB Output is correct
77 Correct 174 ms 7400 KB Output is correct
78 Correct 176 ms 7560 KB Output is correct
79 Correct 180 ms 7400 KB Output is correct
80 Correct 173 ms 7400 KB Output is correct
81 Correct 90 ms 4784 KB Output is correct
82 Correct 91 ms 4844 KB Output is correct
83 Correct 86 ms 4820 KB Output is correct
84 Correct 90 ms 4848 KB Output is correct
85 Correct 90 ms 4848 KB Output is correct
86 Correct 92 ms 4764 KB Output is correct
87 Correct 97 ms 4848 KB Output is correct
88 Correct 101 ms 4848 KB Output is correct
89 Correct 91 ms 4848 KB Output is correct
90 Correct 88 ms 4720 KB Output is correct
91 Correct 82 ms 4336 KB Output is correct
92 Correct 82 ms 4460 KB Output is correct
93 Correct 82 ms 4332 KB Output is correct
94 Correct 88 ms 4336 KB Output is correct
95 Correct 82 ms 4340 KB Output is correct
96 Correct 83 ms 4360 KB Output is correct
97 Correct 86 ms 4336 KB Output is correct
98 Correct 85 ms 4336 KB Output is correct
99 Correct 86 ms 4472 KB Output is correct
100 Correct 92 ms 4336 KB Output is correct
101 Correct 0 ms 384 KB Output is correct
102 Correct 1 ms 384 KB Output is correct
103 Correct 1 ms 384 KB Output is correct
104 Correct 1 ms 384 KB Output is correct
105 Correct 1 ms 384 KB Output is correct
106 Correct 1 ms 384 KB Output is correct