Submission #708378

# Submission time Handle Problem Language Result Execution time Memory
708378 2023-03-11T16:10:30 Z tamyte Wish (LMIO19_noras) C++14
100 / 100
155 ms 17216 KB
#include <bits/stdc++.h>

using namespace std;
#define sz(x) (int)(x).size()
void setIO(string name = "") {
    cin.tie(0)->sync_with_stdio(0); // see /general/fast-io
    if (sz(name)) {
        freopen((name + ".in").c_str(), "r", stdin); // see /general/input-output
        freopen((name + ".out").c_str(), "w", stdout);
    }
}

/*----------------------------------*/

typedef long long ll;


struct star
{
    long long x, y;
    long long dx, dy;
} stars[(int)2e5 + 1];

bool find_roots(int i, long double &root1, long double &root2, long long r) {
    long long a, b, c;
    a = stars[i].dx * stars[i].dx + stars[i].dy * stars[i].dy;
    b = 2 * stars[i].dx * stars[i].x + 2 * stars[i].dy * stars[i].y;
    c = stars[i].x * stars[i].x + stars[i].y * stars[i].y - r * r;
    __int128 d = (__int128)b * b - (__int128) 4 * a * c;
    if (d < 0) return false;
    long double D = sqrt((long double)d);
    root1 = (-b - D) / (2.L * a);
    root2 = (-b + D) / (2.L * a);
    return true;
}

bool cmp(const pair<long long, int>& a, const pair<long long, int>& b) {
    if (a.first != b.first) return a.first < b.first;
    return a.second > b.second;
}

int main() {
    setIO("");
    int n;
    ll r;
    cin >> n >> r;
    vector<pair<long long, int>> interval;
    for (int i = 0; i < n; ++i) {
        cin >> stars[i].x >> stars[i].y >> stars[i].dx >> stars[i].dy;
        stars[i].dx -= stars[i].x;
        stars[i].dy -= stars[i].y;
        long double root1, root2;
        if (!find_roots(i, root1, root2, r)) continue;
        long long start = max(0.L, ceil(root1)), finish = floor(root2);
        if (start > finish) continue;   
        interval.push_back({start, 1});
        interval.push_back({finish, -1});
    }
    sort(interval.begin(), interval.end(), cmp);
    int mx = 0, curr = 0;
    for (auto u : interval) {
        // cout << u.first << " " << u.second << "\n";
        curr += u.second;
        mx = max(mx, curr);
    }
    cout << mx;
}

Compilation message

noras.cpp: In function 'void setIO(std::string)':
noras.cpp:8:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
    8 |         freopen((name + ".in").c_str(), "r", stdin); // see /general/input-output
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
noras.cpp:9:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
    9 |         freopen((name + ".out").c_str(), "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# 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 1 ms 380 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 380 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 256 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 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 1 ms 380 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 380 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 256 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 59 ms 8124 KB Output is correct
24 Correct 57 ms 8100 KB Output is correct
25 Correct 57 ms 8128 KB Output is correct
26 Correct 56 ms 8172 KB Output is correct
27 Correct 65 ms 6936 KB Output is correct
28 Correct 71 ms 8252 KB Output is correct
29 Correct 55 ms 8304 KB Output is correct
30 Correct 58 ms 8368 KB Output is correct
31 Correct 57 ms 8240 KB Output is correct
32 Correct 69 ms 8252 KB Output is correct
33 Correct 87 ms 8208 KB Output is correct
34 Correct 66 ms 8236 KB Output is correct
35 Correct 67 ms 8352 KB Output is correct
36 Correct 64 ms 8232 KB Output is correct
37 Correct 60 ms 7120 KB Output is correct
38 Correct 62 ms 7088 KB Output is correct
39 Correct 51 ms 6744 KB Output is correct
40 Correct 53 ms 6828 KB Output is correct
41 Correct 54 ms 6676 KB Output is correct
42 Correct 51 ms 6732 KB Output is correct
43 Correct 153 ms 17192 KB Output is correct
44 Correct 136 ms 17140 KB Output is correct
45 Correct 137 ms 17132 KB Output is correct
46 Correct 139 ms 17216 KB Output is correct
47 Correct 155 ms 17208 KB Output is correct
48 Correct 134 ms 16112 KB Output is correct
49 Correct 132 ms 16156 KB Output is correct
50 Correct 127 ms 16096 KB Output is correct
51 Correct 135 ms 16148 KB Output is correct
52 Correct 135 ms 16096 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 1 ms 380 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 380 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 256 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 2 ms 344 KB Output is correct
28 Correct 1 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 1 ms 380 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 380 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 256 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 59 ms 8124 KB Output is correct
24 Correct 57 ms 8100 KB Output is correct
25 Correct 57 ms 8128 KB Output is correct
26 Correct 56 ms 8172 KB Output is correct
27 Correct 65 ms 6936 KB Output is correct
28 Correct 71 ms 8252 KB Output is correct
29 Correct 55 ms 8304 KB Output is correct
30 Correct 58 ms 8368 KB Output is correct
31 Correct 57 ms 8240 KB Output is correct
32 Correct 69 ms 8252 KB Output is correct
33 Correct 87 ms 8208 KB Output is correct
34 Correct 66 ms 8236 KB Output is correct
35 Correct 67 ms 8352 KB Output is correct
36 Correct 64 ms 8232 KB Output is correct
37 Correct 60 ms 7120 KB Output is correct
38 Correct 62 ms 7088 KB Output is correct
39 Correct 51 ms 6744 KB Output is correct
40 Correct 53 ms 6828 KB Output is correct
41 Correct 54 ms 6676 KB Output is correct
42 Correct 51 ms 6732 KB Output is correct
43 Correct 153 ms 17192 KB Output is correct
44 Correct 136 ms 17140 KB Output is correct
45 Correct 137 ms 17132 KB Output is correct
46 Correct 139 ms 17216 KB Output is correct
47 Correct 155 ms 17208 KB Output is correct
48 Correct 134 ms 16112 KB Output is correct
49 Correct 132 ms 16156 KB Output is correct
50 Correct 127 ms 16096 KB Output is correct
51 Correct 135 ms 16148 KB Output is correct
52 Correct 135 ms 16096 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 348 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 2 ms 344 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 60 ms 8064 KB Output is correct
60 Correct 52 ms 6964 KB Output is correct
61 Correct 51 ms 7072 KB Output is correct
62 Correct 50 ms 7232 KB Output is correct
63 Correct 54 ms 7076 KB Output is correct
64 Correct 54 ms 6912 KB Output is correct
65 Correct 54 ms 6996 KB Output is correct
66 Correct 56 ms 7108 KB Output is correct
67 Correct 57 ms 7036 KB Output is correct
68 Correct 68 ms 8380 KB Output is correct
69 Correct 69 ms 8388 KB Output is correct
70 Correct 66 ms 8388 KB Output is correct
71 Correct 70 ms 8360 KB Output is correct
72 Correct 75 ms 8472 KB Output is correct
73 Correct 55 ms 6976 KB Output is correct
74 Correct 57 ms 9168 KB Output is correct
75 Correct 57 ms 8852 KB Output is correct
76 Correct 58 ms 6840 KB Output is correct
77 Correct 136 ms 16580 KB Output is correct
78 Correct 129 ms 16568 KB Output is correct
79 Correct 139 ms 16592 KB Output is correct
80 Correct 153 ms 16488 KB Output is correct
81 Correct 138 ms 16520 KB Output is correct
82 Correct 132 ms 16428 KB Output is correct
83 Correct 132 ms 16448 KB Output is correct
84 Correct 137 ms 16436 KB Output is correct
85 Correct 130 ms 16416 KB Output is correct
86 Correct 131 ms 16496 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 1 ms 380 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 380 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 256 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 344 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 59 ms 8124 KB Output is correct
24 Correct 57 ms 8100 KB Output is correct
25 Correct 57 ms 8128 KB Output is correct
26 Correct 56 ms 8172 KB Output is correct
27 Correct 65 ms 6936 KB Output is correct
28 Correct 71 ms 8252 KB Output is correct
29 Correct 55 ms 8304 KB Output is correct
30 Correct 58 ms 8368 KB Output is correct
31 Correct 57 ms 8240 KB Output is correct
32 Correct 69 ms 8252 KB Output is correct
33 Correct 87 ms 8208 KB Output is correct
34 Correct 66 ms 8236 KB Output is correct
35 Correct 67 ms 8352 KB Output is correct
36 Correct 64 ms 8232 KB Output is correct
37 Correct 60 ms 7120 KB Output is correct
38 Correct 62 ms 7088 KB Output is correct
39 Correct 51 ms 6744 KB Output is correct
40 Correct 53 ms 6828 KB Output is correct
41 Correct 54 ms 6676 KB Output is correct
42 Correct 51 ms 6732 KB Output is correct
43 Correct 153 ms 17192 KB Output is correct
44 Correct 136 ms 17140 KB Output is correct
45 Correct 137 ms 17132 KB Output is correct
46 Correct 139 ms 17216 KB Output is correct
47 Correct 155 ms 17208 KB Output is correct
48 Correct 134 ms 16112 KB Output is correct
49 Correct 132 ms 16156 KB Output is correct
50 Correct 127 ms 16096 KB Output is correct
51 Correct 135 ms 16148 KB Output is correct
52 Correct 135 ms 16096 KB Output is correct
53 Correct 60 ms 8064 KB Output is correct
54 Correct 52 ms 6964 KB Output is correct
55 Correct 51 ms 7072 KB Output is correct
56 Correct 50 ms 7232 KB Output is correct
57 Correct 54 ms 7076 KB Output is correct
58 Correct 54 ms 6912 KB Output is correct
59 Correct 54 ms 6996 KB Output is correct
60 Correct 56 ms 7108 KB Output is correct
61 Correct 57 ms 7036 KB Output is correct
62 Correct 68 ms 8380 KB Output is correct
63 Correct 69 ms 8388 KB Output is correct
64 Correct 66 ms 8388 KB Output is correct
65 Correct 70 ms 8360 KB Output is correct
66 Correct 75 ms 8472 KB Output is correct
67 Correct 55 ms 6976 KB Output is correct
68 Correct 57 ms 9168 KB Output is correct
69 Correct 57 ms 8852 KB Output is correct
70 Correct 58 ms 6840 KB Output is correct
71 Correct 136 ms 16580 KB Output is correct
72 Correct 129 ms 16568 KB Output is correct
73 Correct 139 ms 16592 KB Output is correct
74 Correct 153 ms 16488 KB Output is correct
75 Correct 138 ms 16520 KB Output is correct
76 Correct 132 ms 16428 KB Output is correct
77 Correct 132 ms 16448 KB Output is correct
78 Correct 137 ms 16436 KB Output is correct
79 Correct 130 ms 16416 KB Output is correct
80 Correct 131 ms 16496 KB Output is correct
81 Correct 1 ms 212 KB Output is correct
82 Correct 1 ms 348 KB Output is correct
83 Correct 1 ms 340 KB Output is correct
84 Correct 1 ms 340 KB Output is correct
85 Correct 2 ms 344 KB Output is correct
86 Correct 1 ms 340 KB Output is correct
87 Correct 72 ms 8624 KB Output is correct
88 Correct 66 ms 8536 KB Output is correct
89 Correct 67 ms 8572 KB Output is correct
90 Correct 68 ms 8540 KB Output is correct
91 Correct 73 ms 8592 KB Output is correct
92 Correct 75 ms 8504 KB Output is correct
93 Correct 64 ms 8536 KB Output is correct
94 Correct 67 ms 8652 KB Output is correct
95 Correct 67 ms 8476 KB Output is correct
96 Correct 65 ms 8508 KB Output is correct
97 Correct 63 ms 8872 KB Output is correct
98 Correct 63 ms 8864 KB Output is correct
99 Correct 63 ms 8912 KB Output is correct
100 Correct 64 ms 8984 KB Output is correct
101 Correct 60 ms 8908 KB Output is correct
102 Correct 68 ms 8800 KB Output is correct
103 Correct 67 ms 8968 KB Output is correct
104 Correct 62 ms 8904 KB Output is correct
105 Correct 63 ms 8868 KB Output is correct
106 Correct 60 ms 8844 KB Output is correct