oj.uz

Submission #1023562

# Submission time Handle Problem Language Result Execution time Memory
1023562 2024-07-15T02:31:27 Z vjudge1 Wish (LMIO19_noras) C++17
93 / 100
 86 ms 16844 KB 
#include <bits/stdc++.h>
using namespace std;

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) {
			long double sd = sqrt(D);
			long double t1 = (-B + sd) / (2 * A);
			long double t2 = (-B - sd) / (2 * A);
			long long llt1 = ceil(min(t1, t2));
			long long llt2 = floor(max(t1, t2));
			if (llt1 <= llt2) {
				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

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 348 KB Output is correct
6 Correct 0 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 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 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

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 348 KB Output is correct
6 Correct 0 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 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 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 27 ms 8584 KB Output is correct
24 Correct 25 ms 8660 KB Output is correct
25 Correct 25 ms 9676 KB Output is correct
26 Correct 24 ms 8660 KB Output is correct
27 Correct 25 ms 5788 KB Output is correct
28 Correct 27 ms 8084 KB Output is correct
29 Correct 32 ms 8184 KB Output is correct
30 Correct 27 ms 9684 KB Output is correct
31 Correct 26 ms 8848 KB Output is correct
32 Correct 33 ms 8404 KB Output is correct
33 Correct 33 ms 9160 KB Output is correct
34 Correct 33 ms 9428 KB Output is correct
35 Correct 34 ms 8140 KB Output is correct
36 Correct 33 ms 7888 KB Output is correct
37 Correct 25 ms 5580 KB Output is correct
38 Correct 24 ms 5596 KB Output is correct
39 Correct 25 ms 5776 KB Output is correct
40 Correct 23 ms 5592 KB Output is correct
41 Correct 23 ms 5780 KB Output is correct
42 Correct 26 ms 5776 KB Output is correct
43 Correct 73 ms 15296 KB Output is correct
44 Correct 72 ms 16844 KB Output is correct
45 Correct 71 ms 16816 KB Output is correct
46 Correct 72 ms 15556 KB Output is correct
47 Correct 85 ms 16044 KB Output is correct
48 Correct 65 ms 16316 KB Output is correct
49 Correct 64 ms 15292 KB Output is correct
50 Correct 66 ms 16324 KB Output is correct
51 Correct 68 ms 15280 KB Output is correct
52 Correct 66 ms 16072 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 348 KB Output is correct
6 Correct 0 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 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 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 348 KB Output is correct
24 Correct 1 ms 344 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 348 KB Output is correct
6 Correct 0 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 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 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 27 ms 8584 KB Output is correct
24 Correct 25 ms 8660 KB Output is correct
25 Correct 25 ms 9676 KB Output is correct
26 Correct 24 ms 8660 KB Output is correct
27 Correct 25 ms 5788 KB Output is correct
28 Correct 27 ms 8084 KB Output is correct
29 Correct 32 ms 8184 KB Output is correct
30 Correct 27 ms 9684 KB Output is correct
31 Correct 26 ms 8848 KB Output is correct
32 Correct 33 ms 8404 KB Output is correct
33 Correct 33 ms 9160 KB Output is correct
34 Correct 33 ms 9428 KB Output is correct
35 Correct 34 ms 8140 KB Output is correct
36 Correct 33 ms 7888 KB Output is correct
37 Correct 25 ms 5580 KB Output is correct
38 Correct 24 ms 5596 KB Output is correct
39 Correct 25 ms 5776 KB Output is correct
40 Correct 23 ms 5592 KB Output is correct
41 Correct 23 ms 5780 KB Output is correct
42 Correct 26 ms 5776 KB Output is correct
43 Correct 73 ms 15296 KB Output is correct
44 Correct 72 ms 16844 KB Output is correct
45 Correct 71 ms 16816 KB Output is correct
46 Correct 72 ms 15556 KB Output is correct
47 Correct 85 ms 16044 KB Output is correct
48 Correct 65 ms 16316 KB Output is correct
49 Correct 64 ms 15292 KB Output is correct
50 Correct 66 ms 16324 KB Output is correct
51 Correct 68 ms 15280 KB Output is correct
52 Correct 66 ms 16072 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 1 ms 344 KB Output is correct
55 Correct 1 ms 344 KB Output is correct
56 Correct 1 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 1 ms 348 KB Output is correct
59 Correct 28 ms 8908 KB Output is correct
60 Correct 32 ms 8564 KB Output is correct
61 Correct 32 ms 8140 KB Output is correct
62 Correct 32 ms 5584 KB Output is correct
63 Correct 37 ms 8904 KB Output is correct
64 Correct 37 ms 8904 KB Output is correct
65 Correct 34 ms 8656 KB Output is correct
66 Correct 37 ms 7628 KB Output is correct
67 Correct 37 ms 9428 KB Output is correct
68 Correct 36 ms 7892 KB Output is correct
69 Correct 37 ms 8856 KB Output is correct
70 Correct 46 ms 8652 KB Output is correct
71 Correct 34 ms 8332 KB Output is correct
72 Correct 43 ms 8272 KB Output is correct
73 Correct 25 ms 5584 KB Output is correct
74 Correct 30 ms 8916 KB Output is correct
75 Correct 27 ms 8648 KB Output is correct
76 Correct 26 ms 5772 KB Output is correct
77 Correct 86 ms 16564 KB Output is correct
78 Correct 78 ms 15812 KB Output is correct
79 Correct 74 ms 16840 KB Output is correct
80 Correct 74 ms 16068 KB Output is correct
81 Correct 75 ms 15048 KB Output is correct
82 Correct 73 ms 15552 KB Output is correct
83 Correct 72 ms 16828 KB Output is correct
84 Correct 74 ms 16072 KB Output is correct
85 Correct 76 ms 15544 KB Output is correct
86 Correct 73 ms 16824 KB Output is correct

Subtask #5
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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 348 KB Output is correct
6 Correct 0 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 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 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 27 ms 8584 KB Output is correct
24 Correct 25 ms 8660 KB Output is correct
25 Correct 25 ms 9676 KB Output is correct
26 Correct 24 ms 8660 KB Output is correct
27 Correct 25 ms 5788 KB Output is correct
28 Correct 27 ms 8084 KB Output is correct
29 Correct 32 ms 8184 KB Output is correct
30 Correct 27 ms 9684 KB Output is correct
31 Correct 26 ms 8848 KB Output is correct
32 Correct 33 ms 8404 KB Output is correct
33 Correct 33 ms 9160 KB Output is correct
34 Correct 33 ms 9428 KB Output is correct
35 Correct 34 ms 8140 KB Output is correct
36 Correct 33 ms 7888 KB Output is correct
37 Correct 25 ms 5580 KB Output is correct
38 Correct 24 ms 5596 KB Output is correct
39 Correct 25 ms 5776 KB Output is correct
40 Correct 23 ms 5592 KB Output is correct
41 Correct 23 ms 5780 KB Output is correct
42 Correct 26 ms 5776 KB Output is correct
43 Correct 73 ms 15296 KB Output is correct
44 Correct 72 ms 16844 KB Output is correct
45 Correct 71 ms 16816 KB Output is correct
46 Correct 72 ms 15556 KB Output is correct
47 Correct 85 ms 16044 KB Output is correct
48 Correct 65 ms 16316 KB Output is correct
49 Correct 64 ms 15292 KB Output is correct
50 Correct 66 ms 16324 KB Output is correct
51 Correct 68 ms 15280 KB Output is correct
52 Correct 66 ms 16072 KB Output is correct
53 Correct 28 ms 8908 KB Output is correct
54 Correct 32 ms 8564 KB Output is correct
55 Correct 32 ms 8140 KB Output is correct
56 Correct 32 ms 5584 KB Output is correct
57 Correct 37 ms 8904 KB Output is correct
58 Correct 37 ms 8904 KB Output is correct
59 Correct 34 ms 8656 KB Output is correct
60 Correct 37 ms 7628 KB Output is correct
61 Correct 37 ms 9428 KB Output is correct
62 Correct 36 ms 7892 KB Output is correct
63 Correct 37 ms 8856 KB Output is correct
64 Correct 46 ms 8652 KB Output is correct
65 Correct 34 ms 8332 KB Output is correct
66 Correct 43 ms 8272 KB Output is correct
67 Correct 25 ms 5584 KB Output is correct
68 Correct 30 ms 8916 KB Output is correct
69 Correct 27 ms 8648 KB Output is correct
70 Correct 26 ms 5772 KB Output is correct
71 Correct 86 ms 16564 KB Output is correct
72 Correct 78 ms 15812 KB Output is correct
73 Correct 74 ms 16840 KB Output is correct
74 Correct 74 ms 16068 KB Output is correct
75 Correct 75 ms 15048 KB Output is correct
76 Correct 73 ms 15552 KB Output is correct
77 Correct 72 ms 16828 KB Output is correct
78 Correct 74 ms 16072 KB Output is correct
79 Correct 76 ms 15544 KB Output is correct
80 Correct 73 ms 16824 KB Output is correct
81 Correct 0 ms 348 KB Output is correct
82 Correct 1 ms 344 KB Output is correct
83 Correct 1 ms 344 KB Output is correct
84 Correct 1 ms 348 KB Output is correct
85 Correct 1 ms 348 KB Output is correct
86 Correct 1 ms 348 KB Output is correct
87 Incorrect 42 ms 9168 KB Output isn't correct
88 Halted 0 ms 0 KB -