| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 1023557 |
2024-07-15T02:26:14 Z |
vjudge1 |
Wish (LMIO19_noras) |
C++17 |
|
79 ms |
19400 KB |
#include <bits/stdc++.h>
using namespace std;
const double eps = 1e-13;
void solve() {
int n; long long r;
cin >> n >> r;
vector<long long> a(n), b(n), c(n), d(n);
for (int i=0; i<n; i++) cin >> a[i] >> b[i] >> c[i] >> d[i];
vector<pair<long long, bool>> evs;
for (int i=0; i<n; i++) {
// p(t) = (a[i] + t * dx, b[i] + t * dy)
// cari t sehingga (a[i] + t * dx)^2 + (b[i] + t * dy)^2 = r^2
// => a[i]^2 + t^2*dx^2 + 2*t*a[i]*dx + b[i]^2 + t^2*dy^2 + 2*t*b[i]*dy = r^2
// => t^2 * (dx^2 + dy^2) + t * (2*a[i]*dx + 2*b[i]*dy) + a[i]^2 + b[i]^2 - r^2 = 0
// => t^2 * A + t * B + C = 0
// pakai rumus akar persamaan kuadrat?
long long dx = c[i] - a[i], dy = d[i] - b[i];
long long A = dx * dx + dy * dy, B = 2 * (a[i] * dx + b[i] * dy), C = a[i] * a[i] + b[i] * b[i] - r * r;
long long D = B * B - 4 * A * C;
if (D >= 0) {
double sd = sqrt(D);
double t1 = (-B + sd) / (2 * A);
double t2 = (-B - sd) / (2 * A);
long long llt1 = ceil(min(t1, t2));
long long llt2 = floor(max(t1, t2));
evs.emplace_back(llt1, 0);
evs.emplace_back(llt2, 1);
}
}
sort(evs.begin(), evs.end());
int ans = 0, cnt = 0;
for (int i=0; i<(int)evs.size(); i++) {
auto &[t, rem] = evs[i];
if (t >= 0) ans = max(ans, cnt);
if (rem) {
cnt--;
} else {
cnt++;
}
}
cout << ans << '\n';
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
int tcs = 1;
// cin >> tcs;
while (tcs--) {
solve();
}
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
344 KB |
Output is correct |
| 5 |
Correct |
1 ms |
508 KB |
Output is correct |
| 6 |
Correct |
1 ms |
348 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
0 ms |
456 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
1 ms |
348 KB |
Output is correct |
| 13 |
Correct |
1 ms |
348 KB |
Output is correct |
| 14 |
Correct |
1 ms |
348 KB |
Output is correct |
| 15 |
Correct |
1 ms |
348 KB |
Output is correct |
| 16 |
Correct |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
1 ms |
348 KB |
Output is correct |
| 18 |
Correct |
1 ms |
348 KB |
Output is correct |
| 19 |
Correct |
0 ms |
348 KB |
Output is correct |
| 20 |
Correct |
1 ms |
348 KB |
Output is correct |
| 21 |
Correct |
0 ms |
348 KB |
Output is correct |
| 22 |
Correct |
0 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
344 KB |
Output is correct |
| 5 |
Correct |
1 ms |
508 KB |
Output is correct |
| 6 |
Correct |
1 ms |
348 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
0 ms |
456 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
1 ms |
348 KB |
Output is correct |
| 13 |
Correct |
1 ms |
348 KB |
Output is correct |
| 14 |
Correct |
1 ms |
348 KB |
Output is correct |
| 15 |
Correct |
1 ms |
348 KB |
Output is correct |
| 16 |
Correct |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
1 ms |
348 KB |
Output is correct |
| 18 |
Correct |
1 ms |
348 KB |
Output is correct |
| 19 |
Correct |
0 ms |
348 KB |
Output is correct |
| 20 |
Correct |
1 ms |
348 KB |
Output is correct |
| 21 |
Correct |
0 ms |
348 KB |
Output is correct |
| 22 |
Correct |
0 ms |
348 KB |
Output is correct |
| 23 |
Correct |
25 ms |
9420 KB |
Output is correct |
| 24 |
Correct |
25 ms |
9156 KB |
Output is correct |
| 25 |
Correct |
25 ms |
9420 KB |
Output is correct |
| 26 |
Correct |
25 ms |
9420 KB |
Output is correct |
| 27 |
Correct |
27 ms |
9684 KB |
Output is correct |
| 28 |
Correct |
27 ms |
9420 KB |
Output is correct |
| 29 |
Correct |
27 ms |
9424 KB |
Output is correct |
| 30 |
Correct |
27 ms |
9572 KB |
Output is correct |
| 31 |
Correct |
27 ms |
9428 KB |
Output is correct |
| 32 |
Correct |
33 ms |
9600 KB |
Output is correct |
| 33 |
Correct |
33 ms |
9420 KB |
Output is correct |
| 34 |
Correct |
33 ms |
9416 KB |
Output is correct |
| 35 |
Correct |
33 ms |
9344 KB |
Output is correct |
| 36 |
Correct |
34 ms |
9380 KB |
Output is correct |
| 37 |
Correct |
26 ms |
9208 KB |
Output is correct |
| 38 |
Correct |
26 ms |
9368 KB |
Output is correct |
| 39 |
Correct |
27 ms |
9204 KB |
Output is correct |
| 40 |
Correct |
34 ms |
9172 KB |
Output is correct |
| 41 |
Correct |
31 ms |
9164 KB |
Output is correct |
| 42 |
Correct |
26 ms |
9428 KB |
Output is correct |
| 43 |
Correct |
79 ms |
19252 KB |
Output is correct |
| 44 |
Correct |
79 ms |
19400 KB |
Output is correct |
| 45 |
Correct |
74 ms |
19168 KB |
Output is correct |
| 46 |
Correct |
73 ms |
19144 KB |
Output is correct |
| 47 |
Correct |
73 ms |
19144 KB |
Output is correct |
| 48 |
Correct |
66 ms |
18516 KB |
Output is correct |
| 49 |
Correct |
70 ms |
18632 KB |
Output is correct |
| 50 |
Correct |
66 ms |
18372 KB |
Output is correct |
| 51 |
Correct |
66 ms |
18500 KB |
Output is correct |
| 52 |
Correct |
66 ms |
18376 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
344 KB |
Output is correct |
| 5 |
Correct |
1 ms |
508 KB |
Output is correct |
| 6 |
Correct |
1 ms |
348 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
0 ms |
456 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
1 ms |
348 KB |
Output is correct |
| 13 |
Correct |
1 ms |
348 KB |
Output is correct |
| 14 |
Correct |
1 ms |
348 KB |
Output is correct |
| 15 |
Correct |
1 ms |
348 KB |
Output is correct |
| 16 |
Correct |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
1 ms |
348 KB |
Output is correct |
| 18 |
Correct |
1 ms |
348 KB |
Output is correct |
| 19 |
Correct |
0 ms |
348 KB |
Output is correct |
| 20 |
Correct |
1 ms |
348 KB |
Output is correct |
| 21 |
Correct |
0 ms |
348 KB |
Output is correct |
| 22 |
Correct |
0 ms |
348 KB |
Output is correct |
| 23 |
Correct |
0 ms |
344 KB |
Output is correct |
| 24 |
Correct |
1 ms |
348 KB |
Output is correct |
| 25 |
Correct |
1 ms |
468 KB |
Output is correct |
| 26 |
Correct |
0 ms |
348 KB |
Output is correct |
| 27 |
Correct |
1 ms |
348 KB |
Output is correct |
| 28 |
Correct |
1 ms |
344 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
344 KB |
Output is correct |
| 5 |
Correct |
1 ms |
508 KB |
Output is correct |
| 6 |
Correct |
1 ms |
348 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
0 ms |
456 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
1 ms |
348 KB |
Output is correct |
| 13 |
Correct |
1 ms |
348 KB |
Output is correct |
| 14 |
Correct |
1 ms |
348 KB |
Output is correct |
| 15 |
Correct |
1 ms |
348 KB |
Output is correct |
| 16 |
Correct |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
1 ms |
348 KB |
Output is correct |
| 18 |
Correct |
1 ms |
348 KB |
Output is correct |
| 19 |
Correct |
0 ms |
348 KB |
Output is correct |
| 20 |
Correct |
1 ms |
348 KB |
Output is correct |
| 21 |
Correct |
0 ms |
348 KB |
Output is correct |
| 22 |
Correct |
0 ms |
348 KB |
Output is correct |
| 23 |
Correct |
25 ms |
9420 KB |
Output is correct |
| 24 |
Correct |
25 ms |
9156 KB |
Output is correct |
| 25 |
Correct |
25 ms |
9420 KB |
Output is correct |
| 26 |
Correct |
25 ms |
9420 KB |
Output is correct |
| 27 |
Correct |
27 ms |
9684 KB |
Output is correct |
| 28 |
Correct |
27 ms |
9420 KB |
Output is correct |
| 29 |
Correct |
27 ms |
9424 KB |
Output is correct |
| 30 |
Correct |
27 ms |
9572 KB |
Output is correct |
| 31 |
Correct |
27 ms |
9428 KB |
Output is correct |
| 32 |
Correct |
33 ms |
9600 KB |
Output is correct |
| 33 |
Correct |
33 ms |
9420 KB |
Output is correct |
| 34 |
Correct |
33 ms |
9416 KB |
Output is correct |
| 35 |
Correct |
33 ms |
9344 KB |
Output is correct |
| 36 |
Correct |
34 ms |
9380 KB |
Output is correct |
| 37 |
Correct |
26 ms |
9208 KB |
Output is correct |
| 38 |
Correct |
26 ms |
9368 KB |
Output is correct |
| 39 |
Correct |
27 ms |
9204 KB |
Output is correct |
| 40 |
Correct |
34 ms |
9172 KB |
Output is correct |
| 41 |
Correct |
31 ms |
9164 KB |
Output is correct |
| 42 |
Correct |
26 ms |
9428 KB |
Output is correct |
| 43 |
Correct |
79 ms |
19252 KB |
Output is correct |
| 44 |
Correct |
79 ms |
19400 KB |
Output is correct |
| 45 |
Correct |
74 ms |
19168 KB |
Output is correct |
| 46 |
Correct |
73 ms |
19144 KB |
Output is correct |
| 47 |
Correct |
73 ms |
19144 KB |
Output is correct |
| 48 |
Correct |
66 ms |
18516 KB |
Output is correct |
| 49 |
Correct |
70 ms |
18632 KB |
Output is correct |
| 50 |
Correct |
66 ms |
18372 KB |
Output is correct |
| 51 |
Correct |
66 ms |
18500 KB |
Output is correct |
| 52 |
Correct |
66 ms |
18376 KB |
Output is correct |
| 53 |
Correct |
0 ms |
344 KB |
Output is correct |
| 54 |
Correct |
1 ms |
348 KB |
Output is correct |
| 55 |
Correct |
1 ms |
468 KB |
Output is correct |
| 56 |
Correct |
0 ms |
348 KB |
Output is correct |
| 57 |
Correct |
1 ms |
348 KB |
Output is correct |
| 58 |
Correct |
1 ms |
344 KB |
Output is correct |
| 59 |
Correct |
25 ms |
9172 KB |
Output is correct |
| 60 |
Correct |
31 ms |
9696 KB |
Output is correct |
| 61 |
Correct |
32 ms |
9736 KB |
Output is correct |
| 62 |
Correct |
31 ms |
9676 KB |
Output is correct |
| 63 |
Correct |
35 ms |
9684 KB |
Output is correct |
| 64 |
Correct |
35 ms |
9708 KB |
Output is correct |
| 65 |
Correct |
35 ms |
9684 KB |
Output is correct |
| 66 |
Correct |
36 ms |
9836 KB |
Output is correct |
| 67 |
Correct |
35 ms |
9676 KB |
Output is correct |
| 68 |
Correct |
35 ms |
9672 KB |
Output is correct |
| 69 |
Correct |
36 ms |
9684 KB |
Output is correct |
| 70 |
Correct |
44 ms |
9684 KB |
Output is correct |
| 71 |
Correct |
37 ms |
9600 KB |
Output is correct |
| 72 |
Correct |
35 ms |
9468 KB |
Output is correct |
| 73 |
Correct |
27 ms |
9172 KB |
Output is correct |
| 74 |
Correct |
32 ms |
9164 KB |
Output is correct |
| 75 |
Correct |
28 ms |
9164 KB |
Output is correct |
| 76 |
Correct |
28 ms |
9420 KB |
Output is correct |
| 77 |
Correct |
75 ms |
19124 KB |
Output is correct |
| 78 |
Correct |
78 ms |
19144 KB |
Output is correct |
| 79 |
Correct |
73 ms |
19140 KB |
Output is correct |
| 80 |
Correct |
72 ms |
19140 KB |
Output is correct |
| 81 |
Correct |
73 ms |
19144 KB |
Output is correct |
| 82 |
Correct |
69 ms |
18732 KB |
Output is correct |
| 83 |
Correct |
69 ms |
18632 KB |
Output is correct |
| 84 |
Correct |
69 ms |
18632 KB |
Output is correct |
| 85 |
Correct |
74 ms |
18628 KB |
Output is correct |
| 86 |
Correct |
69 ms |
18628 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
344 KB |
Output is correct |
| 5 |
Correct |
1 ms |
508 KB |
Output is correct |
| 6 |
Correct |
1 ms |
348 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
0 ms |
456 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| 11 |
Correct |
0 ms |
348 KB |
Output is correct |
| 12 |
Correct |
1 ms |
348 KB |
Output is correct |
| 13 |
Correct |
1 ms |
348 KB |
Output is correct |
| 14 |
Correct |
1 ms |
348 KB |
Output is correct |
| 15 |
Correct |
1 ms |
348 KB |
Output is correct |
| 16 |
Correct |
1 ms |
348 KB |
Output is correct |
| 17 |
Correct |
1 ms |
348 KB |
Output is correct |
| 18 |
Correct |
1 ms |
348 KB |
Output is correct |
| 19 |
Correct |
0 ms |
348 KB |
Output is correct |
| 20 |
Correct |
1 ms |
348 KB |
Output is correct |
| 21 |
Correct |
0 ms |
348 KB |
Output is correct |
| 22 |
Correct |
0 ms |
348 KB |
Output is correct |
| 23 |
Correct |
25 ms |
9420 KB |
Output is correct |
| 24 |
Correct |
25 ms |
9156 KB |
Output is correct |
| 25 |
Correct |
25 ms |
9420 KB |
Output is correct |
| 26 |
Correct |
25 ms |
9420 KB |
Output is correct |
| 27 |
Correct |
27 ms |
9684 KB |
Output is correct |
| 28 |
Correct |
27 ms |
9420 KB |
Output is correct |
| 29 |
Correct |
27 ms |
9424 KB |
Output is correct |
| 30 |
Correct |
27 ms |
9572 KB |
Output is correct |
| 31 |
Correct |
27 ms |
9428 KB |
Output is correct |
| 32 |
Correct |
33 ms |
9600 KB |
Output is correct |
| 33 |
Correct |
33 ms |
9420 KB |
Output is correct |
| 34 |
Correct |
33 ms |
9416 KB |
Output is correct |
| 35 |
Correct |
33 ms |
9344 KB |
Output is correct |
| 36 |
Correct |
34 ms |
9380 KB |
Output is correct |
| 37 |
Correct |
26 ms |
9208 KB |
Output is correct |
| 38 |
Correct |
26 ms |
9368 KB |
Output is correct |
| 39 |
Correct |
27 ms |
9204 KB |
Output is correct |
| 40 |
Correct |
34 ms |
9172 KB |
Output is correct |
| 41 |
Correct |
31 ms |
9164 KB |
Output is correct |
| 42 |
Correct |
26 ms |
9428 KB |
Output is correct |
| 43 |
Correct |
79 ms |
19252 KB |
Output is correct |
| 44 |
Correct |
79 ms |
19400 KB |
Output is correct |
| 45 |
Correct |
74 ms |
19168 KB |
Output is correct |
| 46 |
Correct |
73 ms |
19144 KB |
Output is correct |
| 47 |
Correct |
73 ms |
19144 KB |
Output is correct |
| 48 |
Correct |
66 ms |
18516 KB |
Output is correct |
| 49 |
Correct |
70 ms |
18632 KB |
Output is correct |
| 50 |
Correct |
66 ms |
18372 KB |
Output is correct |
| 51 |
Correct |
66 ms |
18500 KB |
Output is correct |
| 52 |
Correct |
66 ms |
18376 KB |
Output is correct |
| 53 |
Correct |
25 ms |
9172 KB |
Output is correct |
| 54 |
Correct |
31 ms |
9696 KB |
Output is correct |
| 55 |
Correct |
32 ms |
9736 KB |
Output is correct |
| 56 |
Correct |
31 ms |
9676 KB |
Output is correct |
| 57 |
Correct |
35 ms |
9684 KB |
Output is correct |
| 58 |
Correct |
35 ms |
9708 KB |
Output is correct |
| 59 |
Correct |
35 ms |
9684 KB |
Output is correct |
| 60 |
Correct |
36 ms |
9836 KB |
Output is correct |
| 61 |
Correct |
35 ms |
9676 KB |
Output is correct |
| 62 |
Correct |
35 ms |
9672 KB |
Output is correct |
| 63 |
Correct |
36 ms |
9684 KB |
Output is correct |
| 64 |
Correct |
44 ms |
9684 KB |
Output is correct |
| 65 |
Correct |
37 ms |
9600 KB |
Output is correct |
| 66 |
Correct |
35 ms |
9468 KB |
Output is correct |
| 67 |
Correct |
27 ms |
9172 KB |
Output is correct |
| 68 |
Correct |
32 ms |
9164 KB |
Output is correct |
| 69 |
Correct |
28 ms |
9164 KB |
Output is correct |
| 70 |
Correct |
28 ms |
9420 KB |
Output is correct |
| 71 |
Correct |
75 ms |
19124 KB |
Output is correct |
| 72 |
Correct |
78 ms |
19144 KB |
Output is correct |
| 73 |
Correct |
73 ms |
19140 KB |
Output is correct |
| 74 |
Correct |
72 ms |
19140 KB |
Output is correct |
| 75 |
Correct |
73 ms |
19144 KB |
Output is correct |
| 76 |
Correct |
69 ms |
18732 KB |
Output is correct |
| 77 |
Correct |
69 ms |
18632 KB |
Output is correct |
| 78 |
Correct |
69 ms |
18632 KB |
Output is correct |
| 79 |
Correct |
74 ms |
18628 KB |
Output is correct |
| 80 |
Correct |
69 ms |
18628 KB |
Output is correct |
| 81 |
Correct |
0 ms |
344 KB |
Output is correct |
| 82 |
Correct |
1 ms |
348 KB |
Output is correct |
| 83 |
Correct |
1 ms |
468 KB |
Output is correct |
| 84 |
Correct |
0 ms |
348 KB |
Output is correct |
| 85 |
Correct |
1 ms |
348 KB |
Output is correct |
| 86 |
Correct |
1 ms |
344 KB |
Output is correct |
| 87 |
Incorrect |
42 ms |
11368 KB |
Output isn't correct |
| 88 |
Halted |
0 ms |
0 KB |
- |
