답안 #1023557

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1023557	2024-07-15T02:26:14 Z	vjudge1	Wish (LMIO19_noras)	C++17	93 / 100	79 ms	19400 KB

noras

#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;
}

Subtask #1
23.0 / 23.0

#	결과	실행 시간	메모리	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

Subtask #2
23.0 / 23.0

#	결과	실행 시간	메모리	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

Subtask #3
15.0 / 15.0

#	결과	실행 시간	메모리	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

Subtask #4
32.0 / 32.0

#	결과	실행 시간	메모리	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

Subtask #5
0 / 7.0

#	결과	실행 시간	메모리	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	-

답안 #1023557

Compilation message

Subtask #1 23.0 / 23.0

Subtask #2 23.0 / 23.0

Subtask #3 15.0 / 15.0

Subtask #4 32.0 / 32.0

Subtask #5 0 / 7.0

Subtask #1
23.0 / 23.0

Subtask #2
23.0 / 23.0

Subtask #3
15.0 / 15.0

Subtask #4
32.0 / 32.0

Subtask #5
0 / 7.0