#include "bits/stdc++.h"
using namespace std;
#define INF 1000000000
#define INFLL 1000000000000000000ll
#define EPS 1e-9
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define pb push_back
#define fi first
#define sc second
using i64 = long long;
using u64 = unsigned long long;
using ld = long double;
using ii = pair<int, int>;
#define double ld
int n, radius;
double closest(int a, int b, int c, int d) {
if(1ll*a*a+1ll*b*b <= 1ll * radius*radius) return 0;
return max(0.0L, (-1ll * a * c - 1ll * b * d) / double(1ll*c*c+1ll*d*d));
}
double firstSec(int a, int b, int c, int d, double k) {
double l = 0, r = k;
while(fabs(l - r) > EPS) {
double m = (l + r) / 2;
double x = a + m * c, y = b + m * d;
if(x * x + y * y <= 1ll * radius * radius) r = m;
else l = m;
}
return r;
}
double secondSec(int a, int b, int c, int d, double k) {
double l = k, r = 1e9;
while(fabs(l - r) > EPS) {
double m = (l + r) / 2;
double x = a + m * c, y = b + m * d;
if(x * x + y * y > 1ll * radius * radius) r = m;
else l = m;
}
return r;
}
void solve() {
cin >> n >> radius;
set<ii> sweep;
int opening = 0, ans = 0;
for(int i = 1; i <= n; ++i) {
int a, b, c, d;
cin >> a >> b >> c >> d;
c -= a, d -= b;
double k = closest(a, b, c, d);
if(hypot(a + k * c, b + k * d) - radius > EPS) continue;
double l = firstSec(a, b, c, d, k);
double r = secondSec(a, b, c, d, k);
int L = (int)ceil(l), R = floor(r);
if(L > R) continue;
sweep.emplace(L, -i);
sweep.emplace(R, i);
}
for(auto [x, k] : sweep) {
opening += k < 0 ? 1 : -1;
ans = max(ans, opening);
}
cout << ans << '\n';
}
int main() {
ios_base :: sync_with_stdio(false);
cin.tie(0);
int t = 1;
//cin >> t;
while(t--) solve();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
340 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 |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 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 |
3 ms |
340 KB |
Output is correct |
16 |
Correct |
3 ms |
340 KB |
Output is correct |
17 |
Correct |
2 ms |
340 KB |
Output is correct |
18 |
Correct |
3 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
328 KB |
Output is correct |
21 |
Correct |
3 ms |
340 KB |
Output is correct |
22 |
Correct |
2 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
340 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 |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 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 |
3 ms |
340 KB |
Output is correct |
16 |
Correct |
3 ms |
340 KB |
Output is correct |
17 |
Correct |
2 ms |
340 KB |
Output is correct |
18 |
Correct |
3 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
328 KB |
Output is correct |
21 |
Correct |
3 ms |
340 KB |
Output is correct |
22 |
Correct |
2 ms |
340 KB |
Output is correct |
23 |
Incorrect |
206 ms |
9392 KB |
Output isn't correct |
24 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
340 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 |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 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 |
3 ms |
340 KB |
Output is correct |
16 |
Correct |
3 ms |
340 KB |
Output is correct |
17 |
Correct |
2 ms |
340 KB |
Output is correct |
18 |
Correct |
3 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
328 KB |
Output is correct |
21 |
Correct |
3 ms |
340 KB |
Output is correct |
22 |
Correct |
2 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Incorrect |
2 ms |
340 KB |
Output isn't correct |
25 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
340 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 |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 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 |
3 ms |
340 KB |
Output is correct |
16 |
Correct |
3 ms |
340 KB |
Output is correct |
17 |
Correct |
2 ms |
340 KB |
Output is correct |
18 |
Correct |
3 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
328 KB |
Output is correct |
21 |
Correct |
3 ms |
340 KB |
Output is correct |
22 |
Correct |
2 ms |
340 KB |
Output is correct |
23 |
Incorrect |
206 ms |
9392 KB |
Output isn't correct |
24 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
340 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 |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 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 |
3 ms |
340 KB |
Output is correct |
16 |
Correct |
3 ms |
340 KB |
Output is correct |
17 |
Correct |
2 ms |
340 KB |
Output is correct |
18 |
Correct |
3 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
340 KB |
Output is correct |
20 |
Correct |
2 ms |
328 KB |
Output is correct |
21 |
Correct |
3 ms |
340 KB |
Output is correct |
22 |
Correct |
2 ms |
340 KB |
Output is correct |
23 |
Incorrect |
206 ms |
9392 KB |
Output isn't correct |
24 |
Halted |
0 ms |
0 KB |
- |