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Submission #247017

# Submission time Handle Problem Language Result Execution time Memory
247017 2020-07-10T18:30:10 Z dolphingarlic Wish (LMIO19_noras) C++14
100 / 100
 338 ms 20020 KB 
#include <bits/stdc++.h>
#define FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n;
    long double r;
    cin >> n >> r;
    vector<pair<long double, int>> stars;
    FOR(i, 0, n) {
        long double x1, y1, x2, y2;
        cin >> x1 >> y1 >> x2 >> y2;
        if (x1 == x2) swap(x1, y1), swap(x2, y2);
        long double v = x2 - x1;

        long double m = (y1 - y2) / (x1 - x2);
        long double c = y1 - m * x1;
        if (m * m * c * c < (m * m + 1) * (c * c - r * r)) continue;

        long double int_1 =
            (-m * c + sqrt(m * m * c * c - (m * m + 1) * (c * c - r * r))) /
            (m * m + 1);
        long double int_2 =
            (-m * c - sqrt(m * m * c * c - (m * m + 1) * (c * c - r * r))) /
            (m * m + 1);
        if ((int_1 - x1) / v > (int_2 - x1) / v) swap(int_1, int_2);

        stars.push_back({ceil((int_1 - x1) / v), -1});
        stars.push_back({floor((int_2 - x1) / v), 1});
    }
    stars.push_back({0, 0});
    sort(stars.begin(), stars.end());

    int ans = 0, cnt = 0;
    for (pair<long double, int> i : stars) {
        cnt -= i.second;
        if (i.first >= 0) ans = max(ans, cnt);
    }
    cout << ans;
    return 0;
}

Subtask #1
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 7 ms 512 KB Output is correct
4 Correct 7 ms 512 KB Output is correct
5 Correct 6 ms 416 KB Output is correct
6 Correct 7 ms 512 KB Output is correct
7 Correct 6 ms 512 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 6 ms 512 KB Output is correct
15 Correct 6 ms 512 KB Output is correct
16 Correct 6 ms 512 KB Output is correct
17 Correct 6 ms 512 KB Output is correct
18 Correct 6 ms 512 KB Output is correct
19 Correct 6 ms 512 KB Output is correct
20 Correct 6 ms 512 KB Output is correct
21 Correct 6 ms 512 KB Output is correct
22 Correct 6 ms 512 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 7 ms 512 KB Output is correct
4 Correct 7 ms 512 KB Output is correct
5 Correct 6 ms 416 KB Output is correct
6 Correct 7 ms 512 KB Output is correct
7 Correct 6 ms 512 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 6 ms 512 KB Output is correct
15 Correct 6 ms 512 KB Output is correct
16 Correct 6 ms 512 KB Output is correct
17 Correct 6 ms 512 KB Output is correct
18 Correct 6 ms 512 KB Output is correct
19 Correct 6 ms 512 KB Output is correct
20 Correct 6 ms 512 KB Output is correct
21 Correct 6 ms 512 KB Output is correct
22 Correct 6 ms 512 KB Output is correct
23 Correct 134 ms 8800 KB Output is correct
24 Correct 135 ms 8800 KB Output is correct
25 Correct 133 ms 8864 KB Output is correct
26 Correct 133 ms 8804 KB Output is correct
27 Correct 150 ms 8800 KB Output is correct
28 Correct 137 ms 8800 KB Output is correct
29 Correct 142 ms 8932 KB Output is correct
30 Correct 140 ms 8800 KB Output is correct
31 Correct 141 ms 8804 KB Output is correct
32 Correct 158 ms 8928 KB Output is correct
33 Correct 154 ms 8960 KB Output is correct
34 Correct 153 ms 8804 KB Output is correct
35 Correct 152 ms 8800 KB Output is correct
36 Correct 148 ms 8800 KB Output is correct
37 Correct 140 ms 8800 KB Output is correct
38 Correct 141 ms 8796 KB Output is correct
39 Correct 144 ms 8800 KB Output is correct
40 Correct 162 ms 8888 KB Output is correct
41 Correct 140 ms 8804 KB Output is correct
42 Correct 144 ms 8796 KB Output is correct
43 Correct 329 ms 17232 KB Output is correct
44 Correct 321 ms 17108 KB Output is correct
45 Correct 320 ms 17148 KB Output is correct
46 Correct 328 ms 16980 KB Output is correct
47 Correct 320 ms 16980 KB Output is correct
48 Correct 323 ms 16980 KB Output is correct
49 Correct 303 ms 16980 KB Output is correct
50 Correct 313 ms 16984 KB Output is correct
51 Correct 305 ms 16980 KB Output is correct
52 Correct 307 ms 17048 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 7 ms 512 KB Output is correct
4 Correct 7 ms 512 KB Output is correct
5 Correct 6 ms 416 KB Output is correct
6 Correct 7 ms 512 KB Output is correct
7 Correct 6 ms 512 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 6 ms 512 KB Output is correct
15 Correct 6 ms 512 KB Output is correct
16 Correct 6 ms 512 KB Output is correct
17 Correct 6 ms 512 KB Output is correct
18 Correct 6 ms 512 KB Output is correct
19 Correct 6 ms 512 KB Output is correct
20 Correct 6 ms 512 KB Output is correct
21 Correct 6 ms 512 KB Output is correct
22 Correct 6 ms 512 KB Output is correct
23 Correct 4 ms 384 KB Output is correct
24 Correct 6 ms 512 KB Output is correct
25 Correct 7 ms 512 KB Output is correct
26 Correct 6 ms 512 KB Output is correct
27 Correct 6 ms 512 KB Output is correct
28 Correct 6 ms 512 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 7 ms 512 KB Output is correct
4 Correct 7 ms 512 KB Output is correct
5 Correct 6 ms 416 KB Output is correct
6 Correct 7 ms 512 KB Output is correct
7 Correct 6 ms 512 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 6 ms 512 KB Output is correct
15 Correct 6 ms 512 KB Output is correct
16 Correct 6 ms 512 KB Output is correct
17 Correct 6 ms 512 KB Output is correct
18 Correct 6 ms 512 KB Output is correct
19 Correct 6 ms 512 KB Output is correct
20 Correct 6 ms 512 KB Output is correct
21 Correct 6 ms 512 KB Output is correct
22 Correct 6 ms 512 KB Output is correct
23 Correct 134 ms 8800 KB Output is correct
24 Correct 135 ms 8800 KB Output is correct
25 Correct 133 ms 8864 KB Output is correct
26 Correct 133 ms 8804 KB Output is correct
27 Correct 150 ms 8800 KB Output is correct
28 Correct 137 ms 8800 KB Output is correct
29 Correct 142 ms 8932 KB Output is correct
30 Correct 140 ms 8800 KB Output is correct
31 Correct 141 ms 8804 KB Output is correct
32 Correct 158 ms 8928 KB Output is correct
33 Correct 154 ms 8960 KB Output is correct
34 Correct 153 ms 8804 KB Output is correct
35 Correct 152 ms 8800 KB Output is correct
36 Correct 148 ms 8800 KB Output is correct
37 Correct 140 ms 8800 KB Output is correct
38 Correct 141 ms 8796 KB Output is correct
39 Correct 144 ms 8800 KB Output is correct
40 Correct 162 ms 8888 KB Output is correct
41 Correct 140 ms 8804 KB Output is correct
42 Correct 144 ms 8796 KB Output is correct
43 Correct 329 ms 17232 KB Output is correct
44 Correct 321 ms 17108 KB Output is correct
45 Correct 320 ms 17148 KB Output is correct
46 Correct 328 ms 16980 KB Output is correct
47 Correct 320 ms 16980 KB Output is correct
48 Correct 323 ms 16980 KB Output is correct
49 Correct 303 ms 16980 KB Output is correct
50 Correct 313 ms 16984 KB Output is correct
51 Correct 305 ms 16980 KB Output is correct
52 Correct 307 ms 17048 KB Output is correct
53 Correct 147 ms 8800 KB Output is correct
54 Correct 152 ms 8800 KB Output is correct
55 Correct 144 ms 10596 KB Output is correct
56 Correct 142 ms 10464 KB Output is correct
57 Correct 157 ms 10764 KB Output is correct
58 Correct 160 ms 10596 KB Output is correct
59 Correct 157 ms 10592 KB Output is correct
60 Correct 157 ms 10720 KB Output is correct
61 Correct 154 ms 10592 KB Output is correct
62 Correct 157 ms 10208 KB Output is correct
63 Correct 157 ms 10208 KB Output is correct
64 Correct 158 ms 10336 KB Output is correct
65 Correct 162 ms 10212 KB Output is correct
66 Correct 160 ms 10208 KB Output is correct
67 Correct 138 ms 9824 KB Output is correct
68 Correct 140 ms 9956 KB Output is correct
69 Correct 150 ms 9996 KB Output is correct
70 Correct 145 ms 9952 KB Output is correct
71 Correct 330 ms 20020 KB Output is correct
72 Correct 338 ms 19924 KB Output is correct
73 Correct 322 ms 19924 KB Output is correct
74 Correct 322 ms 19924 KB Output is correct
75 Correct 324 ms 19920 KB Output is correct
76 Correct 305 ms 19668 KB Output is correct
77 Correct 312 ms 19784 KB Output is correct
78 Correct 304 ms 19740 KB Output is correct
79 Correct 316 ms 19668 KB Output is correct
80 Correct 316 ms 19668 KB Output is correct
81 Correct 4 ms 384 KB Output is correct
82 Correct 6 ms 512 KB Output is correct
83 Correct 7 ms 512 KB Output is correct
84 Correct 6 ms 512 KB Output is correct
85 Correct 6 ms 512 KB Output is correct
86 Correct 6 ms 512 KB Output is correct

Subtask #5
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 7 ms 512 KB Output is correct
4 Correct 7 ms 512 KB Output is correct
5 Correct 6 ms 416 KB Output is correct
6 Correct 7 ms 512 KB Output is correct
7 Correct 6 ms 512 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 6 ms 512 KB Output is correct
15 Correct 6 ms 512 KB Output is correct
16 Correct 6 ms 512 KB Output is correct
17 Correct 6 ms 512 KB Output is correct
18 Correct 6 ms 512 KB Output is correct
19 Correct 6 ms 512 KB Output is correct
20 Correct 6 ms 512 KB Output is correct
21 Correct 6 ms 512 KB Output is correct
22 Correct 6 ms 512 KB Output is correct
23 Correct 134 ms 8800 KB Output is correct
24 Correct 135 ms 8800 KB Output is correct
25 Correct 133 ms 8864 KB Output is correct
26 Correct 133 ms 8804 KB Output is correct
27 Correct 150 ms 8800 KB Output is correct
28 Correct 137 ms 8800 KB Output is correct
29 Correct 142 ms 8932 KB Output is correct
30 Correct 140 ms 8800 KB Output is correct
31 Correct 141 ms 8804 KB Output is correct
32 Correct 158 ms 8928 KB Output is correct
33 Correct 154 ms 8960 KB Output is correct
34 Correct 153 ms 8804 KB Output is correct
35 Correct 152 ms 8800 KB Output is correct
36 Correct 148 ms 8800 KB Output is correct
37 Correct 140 ms 8800 KB Output is correct
38 Correct 141 ms 8796 KB Output is correct
39 Correct 144 ms 8800 KB Output is correct
40 Correct 162 ms 8888 KB Output is correct
41 Correct 140 ms 8804 KB Output is correct
42 Correct 144 ms 8796 KB Output is correct
43 Correct 329 ms 17232 KB Output is correct
44 Correct 321 ms 17108 KB Output is correct
45 Correct 320 ms 17148 KB Output is correct
46 Correct 328 ms 16980 KB Output is correct
47 Correct 320 ms 16980 KB Output is correct
48 Correct 323 ms 16980 KB Output is correct
49 Correct 303 ms 16980 KB Output is correct
50 Correct 313 ms 16984 KB Output is correct
51 Correct 305 ms 16980 KB Output is correct
52 Correct 307 ms 17048 KB Output is correct
53 Correct 147 ms 8800 KB Output is correct
54 Correct 152 ms 8800 KB Output is correct
55 Correct 144 ms 10596 KB Output is correct
56 Correct 142 ms 10464 KB Output is correct
57 Correct 157 ms 10764 KB Output is correct
58 Correct 160 ms 10596 KB Output is correct
59 Correct 157 ms 10592 KB Output is correct
60 Correct 157 ms 10720 KB Output is correct
61 Correct 154 ms 10592 KB Output is correct
62 Correct 157 ms 10208 KB Output is correct
63 Correct 157 ms 10208 KB Output is correct
64 Correct 158 ms 10336 KB Output is correct
65 Correct 162 ms 10212 KB Output is correct
66 Correct 160 ms 10208 KB Output is correct
67 Correct 138 ms 9824 KB Output is correct
68 Correct 140 ms 9956 KB Output is correct
69 Correct 150 ms 9996 KB Output is correct
70 Correct 145 ms 9952 KB Output is correct
71 Correct 330 ms 20020 KB Output is correct
72 Correct 338 ms 19924 KB Output is correct
73 Correct 322 ms 19924 KB Output is correct
74 Correct 322 ms 19924 KB Output is correct
75 Correct 324 ms 19920 KB Output is correct
76 Correct 305 ms 19668 KB Output is correct
77 Correct 312 ms 19784 KB Output is correct
78 Correct 304 ms 19740 KB Output is correct
79 Correct 316 ms 19668 KB Output is correct
80 Correct 316 ms 19668 KB Output is correct
81 Correct 181 ms 12008 KB Output is correct
82 Correct 182 ms 11872 KB Output is correct
83 Correct 190 ms 11952 KB Output is correct
84 Correct 195 ms 11964 KB Output is correct
85 Correct 185 ms 11868 KB Output is correct
86 Correct 183 ms 11872 KB Output is correct
87 Correct 187 ms 11872 KB Output is correct
88 Correct 181 ms 11912 KB Output is correct
89 Correct 187 ms 11876 KB Output is correct
90 Correct 182 ms 11872 KB Output is correct
91 Correct 154 ms 10456 KB Output is correct
92 Correct 147 ms 10464 KB Output is correct
93 Correct 150 ms 10592 KB Output is correct
94 Correct 150 ms 10464 KB Output is correct
95 Correct 146 ms 10464 KB Output is correct
96 Correct 151 ms 10536 KB Output is correct
97 Correct 148 ms 10464 KB Output is correct
98 Correct 146 ms 10516 KB Output is correct
99 Correct 151 ms 10464 KB Output is correct
100 Correct 152 ms 10464 KB Output is correct
101 Correct 4 ms 384 KB Output is correct
102 Correct 6 ms 512 KB Output is correct
103 Correct 7 ms 512 KB Output is correct
104 Correct 6 ms 512 KB Output is correct
105 Correct 6 ms 512 KB Output is correct
106 Correct 6 ms 512 KB Output is correct