답안 #253296

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
253296	2020-07-27T16:03:08 Z	DystoriaX	Wish (LMIO19_noras)	C++14	100 / 100	142 ms	11360 KB

noras

#include <bits/stdc++.h>

using namespace std;

typedef pair<long long, int> pii;

int n, r;
int a[200010], b[200010], dx[200010], dy[200010];
int pref[200010];

vector<pii> v;

long long sq(long long x){
	return x * x;
}

bool check(long long dx, long long dy){
	return sq(dx) + sq(dy) <= sq(r);
}

int main(){
	ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);

	cin >> n >> r;

	for(int i = 1; i <= n; i++){
		cin >> a[i] >> b[i] >> dx[i] >> dy[i];
		
		dx[i] -= a[i];
		dy[i] -= b[i];

		long long A, B, C;
		long double D;

		A = sq(dx[i]) + sq(dy[i]); B = 2LL * (1LL * a[i] * dx[i] + 1LL * b[i] * dy[i]); C = sq(a[i]) + sq(b[i]) - sq(r);

		D = (long double) B*B - (long double) 4 * A * C;

		// cerr << mn << " " << mx << "\n";
		if(D < 0) continue;

		long long mn = ceil((long double) (-B - sqrtl(D)) / (2LL * A)), mx = floor((long double) (-B + sqrtl(D)) / (2LL * A));

		bool f1, f2;

		for(int off = -10; off <= 10; off++){
			if(check(a[i] + 1LL * (mn + off) * dx[i], b[i] + 1LL * (mn + off) * dy[i])){
				mn += off; f1 = true;
				break;
			}
		}

		for(int off = 10; off >= -10; off--){
			if(check(a[i] + 1LL * (mx + off) * dx[i], b[i] + 1LL * (mx + off) * dy[i])){
				mx += off; f2 = true;
				break;
			}
		}

		if(!f1 || !f2) continue;

		if(mx >= 0 && mn <= mx){
			// cerr << mn << " " << mx << "\n";
			assert(check(a[i] + 1LL * mn * dx[i], b[i] + 1LL * mn * dy[i]));
			assert(check(a[i] + 1LL * mx * dx[i], b[i] + 1LL * mx * dy[i]));
			v.emplace_back(max(0LL, mn), 1);
			v.emplace_back(mx + 1, -1);
		}
		// for(int k = 0; k <= 20000; k++){
		// 	if(sq(a[i] + 1LL * k * dx[i]) + sq(b[i] + 1LL * k * dy[i]) <= sq(r)) pref[k]++;
		// }
	}

	int ans = 0, cnt = 0;

	sort(v.begin(), v.end());

	for(int i = 0; i < (int) v.size(); i++){
		int j = i;

		while(j < (int) v.size() && v[i].first == v[j].first){
			cnt += v[j++].second;
		}

		ans = max(ans, cnt);
		i = j - 1;
	}

	cout << ans << "\n";
	
	return 0;
}

Subtask #1
23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	384 KB	Output is correct
2	Correct	0 ms	384 KB	Output is correct
3	Correct	1 ms	512 KB	Output is correct
4	Correct	1 ms	384 KB	Output is correct
5	Correct	1 ms	512 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	0 ms	384 KB	Output is correct
9	Correct	0 ms	384 KB	Output is correct
10	Correct	0 ms	384 KB	Output is correct
11	Correct	0 ms	384 KB	Output is correct
12	Correct	0 ms	384 KB	Output is correct
13	Correct	0 ms	384 KB	Output is correct
14	Correct	1 ms	396 KB	Output is correct
15	Correct	1 ms	512 KB	Output is correct
16	Correct	1 ms	512 KB	Output is correct
17	Correct	1 ms	512 KB	Output is correct
18	Correct	1 ms	512 KB	Output is correct
19	Correct	1 ms	384 KB	Output is correct
20	Correct	1 ms	384 KB	Output is correct
21	Correct	1 ms	384 KB	Output is correct
22	Correct	1 ms	384 KB	Output is correct

Subtask #2
23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	384 KB	Output is correct
2	Correct	0 ms	384 KB	Output is correct
3	Correct	1 ms	512 KB	Output is correct
4	Correct	1 ms	384 KB	Output is correct
5	Correct	1 ms	512 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	0 ms	384 KB	Output is correct
9	Correct	0 ms	384 KB	Output is correct
10	Correct	0 ms	384 KB	Output is correct
11	Correct	0 ms	384 KB	Output is correct
12	Correct	0 ms	384 KB	Output is correct
13	Correct	0 ms	384 KB	Output is correct
14	Correct	1 ms	396 KB	Output is correct
15	Correct	1 ms	512 KB	Output is correct
16	Correct	1 ms	512 KB	Output is correct
17	Correct	1 ms	512 KB	Output is correct
18	Correct	1 ms	512 KB	Output is correct
19	Correct	1 ms	384 KB	Output is correct
20	Correct	1 ms	384 KB	Output is correct
21	Correct	1 ms	384 KB	Output is correct
22	Correct	1 ms	384 KB	Output is correct
23	Correct	59 ms	5868 KB	Output is correct
24	Correct	68 ms	5868 KB	Output is correct
25	Correct	62 ms	5864 KB	Output is correct
26	Correct	70 ms	5868 KB	Output is correct
27	Correct	59 ms	3948 KB	Output is correct
28	Correct	57 ms	5996 KB	Output is correct
29	Correct	59 ms	5996 KB	Output is correct
30	Correct	53 ms	5996 KB	Output is correct
31	Correct	52 ms	5996 KB	Output is correct
32	Correct	65 ms	5864 KB	Output is correct
33	Correct	63 ms	5868 KB	Output is correct
34	Correct	63 ms	5864 KB	Output is correct
35	Correct	64 ms	5868 KB	Output is correct
36	Correct	62 ms	5868 KB	Output is correct
37	Correct	57 ms	4332 KB	Output is correct
38	Correct	54 ms	4204 KB	Output is correct
39	Correct	50 ms	4080 KB	Output is correct
40	Correct	49 ms	3952 KB	Output is correct
41	Correct	50 ms	4080 KB	Output is correct
42	Correct	50 ms	4080 KB	Output is correct
43	Correct	135 ms	11104 KB	Output is correct
44	Correct	134 ms	11108 KB	Output is correct
45	Correct	135 ms	11012 KB	Output is correct
46	Correct	135 ms	11104 KB	Output is correct
47	Correct	134 ms	11104 KB	Output is correct
48	Correct	128 ms	10976 KB	Output is correct
49	Correct	125 ms	10976 KB	Output is correct
50	Correct	130 ms	10980 KB	Output is correct
51	Correct	133 ms	10980 KB	Output is correct
52	Correct	128 ms	10976 KB	Output is correct

Subtask #3
15.0 / 15.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	384 KB	Output is correct
2	Correct	0 ms	384 KB	Output is correct
3	Correct	1 ms	512 KB	Output is correct
4	Correct	1 ms	384 KB	Output is correct
5	Correct	1 ms	512 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	0 ms	384 KB	Output is correct
9	Correct	0 ms	384 KB	Output is correct
10	Correct	0 ms	384 KB	Output is correct
11	Correct	0 ms	384 KB	Output is correct
12	Correct	0 ms	384 KB	Output is correct
13	Correct	0 ms	384 KB	Output is correct
14	Correct	1 ms	396 KB	Output is correct
15	Correct	1 ms	512 KB	Output is correct
16	Correct	1 ms	512 KB	Output is correct
17	Correct	1 ms	512 KB	Output is correct
18	Correct	1 ms	512 KB	Output is correct
19	Correct	1 ms	384 KB	Output is correct
20	Correct	1 ms	384 KB	Output is correct
21	Correct	1 ms	384 KB	Output is correct
22	Correct	1 ms	384 KB	Output is correct
23	Correct	0 ms	384 KB	Output is correct
24	Correct	1 ms	384 KB	Output is correct
25	Correct	1 ms	512 KB	Output is correct
26	Correct	1 ms	384 KB	Output is correct
27	Correct	1 ms	384 KB	Output is correct
28	Correct	1 ms	384 KB	Output is correct

Subtask #4
32.0 / 32.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	384 KB	Output is correct
2	Correct	0 ms	384 KB	Output is correct
3	Correct	1 ms	512 KB	Output is correct
4	Correct	1 ms	384 KB	Output is correct
5	Correct	1 ms	512 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	0 ms	384 KB	Output is correct
9	Correct	0 ms	384 KB	Output is correct
10	Correct	0 ms	384 KB	Output is correct
11	Correct	0 ms	384 KB	Output is correct
12	Correct	0 ms	384 KB	Output is correct
13	Correct	0 ms	384 KB	Output is correct
14	Correct	1 ms	396 KB	Output is correct
15	Correct	1 ms	512 KB	Output is correct
16	Correct	1 ms	512 KB	Output is correct
17	Correct	1 ms	512 KB	Output is correct
18	Correct	1 ms	512 KB	Output is correct
19	Correct	1 ms	384 KB	Output is correct
20	Correct	1 ms	384 KB	Output is correct
21	Correct	1 ms	384 KB	Output is correct
22	Correct	1 ms	384 KB	Output is correct
23	Correct	59 ms	5868 KB	Output is correct
24	Correct	68 ms	5868 KB	Output is correct
25	Correct	62 ms	5864 KB	Output is correct
26	Correct	70 ms	5868 KB	Output is correct
27	Correct	59 ms	3948 KB	Output is correct
28	Correct	57 ms	5996 KB	Output is correct
29	Correct	59 ms	5996 KB	Output is correct
30	Correct	53 ms	5996 KB	Output is correct
31	Correct	52 ms	5996 KB	Output is correct
32	Correct	65 ms	5864 KB	Output is correct
33	Correct	63 ms	5868 KB	Output is correct
34	Correct	63 ms	5864 KB	Output is correct
35	Correct	64 ms	5868 KB	Output is correct
36	Correct	62 ms	5868 KB	Output is correct
37	Correct	57 ms	4332 KB	Output is correct
38	Correct	54 ms	4204 KB	Output is correct
39	Correct	50 ms	4080 KB	Output is correct
40	Correct	49 ms	3952 KB	Output is correct
41	Correct	50 ms	4080 KB	Output is correct
42	Correct	50 ms	4080 KB	Output is correct
43	Correct	135 ms	11104 KB	Output is correct
44	Correct	134 ms	11108 KB	Output is correct
45	Correct	135 ms	11012 KB	Output is correct
46	Correct	135 ms	11104 KB	Output is correct
47	Correct	134 ms	11104 KB	Output is correct
48	Correct	128 ms	10976 KB	Output is correct
49	Correct	125 ms	10976 KB	Output is correct
50	Correct	130 ms	10980 KB	Output is correct
51	Correct	133 ms	10980 KB	Output is correct
52	Correct	128 ms	10976 KB	Output is correct
53	Correct	53 ms	5864 KB	Output is correct
54	Correct	54 ms	3832 KB	Output is correct
55	Correct	62 ms	3816 KB	Output is correct
56	Correct	60 ms	3944 KB	Output is correct
57	Correct	62 ms	3952 KB	Output is correct
58	Correct	65 ms	3952 KB	Output is correct
59	Correct	57 ms	3824 KB	Output is correct
60	Correct	60 ms	3824 KB	Output is correct
61	Correct	57 ms	3824 KB	Output is correct
62	Correct	68 ms	5868 KB	Output is correct
63	Correct	65 ms	5868 KB	Output is correct
64	Correct	65 ms	5868 KB	Output is correct
65	Correct	64 ms	5868 KB	Output is correct
66	Correct	64 ms	5868 KB	Output is correct
67	Correct	67 ms	4072 KB	Output is correct
68	Correct	57 ms	6380 KB	Output is correct
69	Correct	54 ms	6248 KB	Output is correct
70	Correct	51 ms	3952 KB	Output is correct
71	Correct	142 ms	11360 KB	Output is correct
72	Correct	135 ms	11360 KB	Output is correct
73	Correct	128 ms	11360 KB	Output is correct
74	Correct	140 ms	11360 KB	Output is correct
75	Correct	133 ms	11360 KB	Output is correct
76	Correct	132 ms	11276 KB	Output is correct
77	Correct	126 ms	11108 KB	Output is correct
78	Correct	131 ms	11100 KB	Output is correct
79	Correct	127 ms	11104 KB	Output is correct
80	Correct	131 ms	11276 KB	Output is correct
81	Correct	0 ms	384 KB	Output is correct
82	Correct	1 ms	384 KB	Output is correct
83	Correct	1 ms	512 KB	Output is correct
84	Correct	1 ms	384 KB	Output is correct
85	Correct	1 ms	384 KB	Output is correct
86	Correct	1 ms	384 KB	Output is correct

Subtask #5
7.0 / 7.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	384 KB	Output is correct
2	Correct	0 ms	384 KB	Output is correct
3	Correct	1 ms	512 KB	Output is correct
4	Correct	1 ms	384 KB	Output is correct
5	Correct	1 ms	512 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	0 ms	384 KB	Output is correct
9	Correct	0 ms	384 KB	Output is correct
10	Correct	0 ms	384 KB	Output is correct
11	Correct	0 ms	384 KB	Output is correct
12	Correct	0 ms	384 KB	Output is correct
13	Correct	0 ms	384 KB	Output is correct
14	Correct	1 ms	396 KB	Output is correct
15	Correct	1 ms	512 KB	Output is correct
16	Correct	1 ms	512 KB	Output is correct
17	Correct	1 ms	512 KB	Output is correct
18	Correct	1 ms	512 KB	Output is correct
19	Correct	1 ms	384 KB	Output is correct
20	Correct	1 ms	384 KB	Output is correct
21	Correct	1 ms	384 KB	Output is correct
22	Correct	1 ms	384 KB	Output is correct
23	Correct	59 ms	5868 KB	Output is correct
24	Correct	68 ms	5868 KB	Output is correct
25	Correct	62 ms	5864 KB	Output is correct
26	Correct	70 ms	5868 KB	Output is correct
27	Correct	59 ms	3948 KB	Output is correct
28	Correct	57 ms	5996 KB	Output is correct
29	Correct	59 ms	5996 KB	Output is correct
30	Correct	53 ms	5996 KB	Output is correct
31	Correct	52 ms	5996 KB	Output is correct
32	Correct	65 ms	5864 KB	Output is correct
33	Correct	63 ms	5868 KB	Output is correct
34	Correct	63 ms	5864 KB	Output is correct
35	Correct	64 ms	5868 KB	Output is correct
36	Correct	62 ms	5868 KB	Output is correct
37	Correct	57 ms	4332 KB	Output is correct
38	Correct	54 ms	4204 KB	Output is correct
39	Correct	50 ms	4080 KB	Output is correct
40	Correct	49 ms	3952 KB	Output is correct
41	Correct	50 ms	4080 KB	Output is correct
42	Correct	50 ms	4080 KB	Output is correct
43	Correct	135 ms	11104 KB	Output is correct
44	Correct	134 ms	11108 KB	Output is correct
45	Correct	135 ms	11012 KB	Output is correct
46	Correct	135 ms	11104 KB	Output is correct
47	Correct	134 ms	11104 KB	Output is correct
48	Correct	128 ms	10976 KB	Output is correct
49	Correct	125 ms	10976 KB	Output is correct
50	Correct	130 ms	10980 KB	Output is correct
51	Correct	133 ms	10980 KB	Output is correct
52	Correct	128 ms	10976 KB	Output is correct
53	Correct	53 ms	5864 KB	Output is correct
54	Correct	54 ms	3832 KB	Output is correct
55	Correct	62 ms	3816 KB	Output is correct
56	Correct	60 ms	3944 KB	Output is correct
57	Correct	62 ms	3952 KB	Output is correct
58	Correct	65 ms	3952 KB	Output is correct
59	Correct	57 ms	3824 KB	Output is correct
60	Correct	60 ms	3824 KB	Output is correct
61	Correct	57 ms	3824 KB	Output is correct
62	Correct	68 ms	5868 KB	Output is correct
63	Correct	65 ms	5868 KB	Output is correct
64	Correct	65 ms	5868 KB	Output is correct
65	Correct	64 ms	5868 KB	Output is correct
66	Correct	64 ms	5868 KB	Output is correct
67	Correct	67 ms	4072 KB	Output is correct
68	Correct	57 ms	6380 KB	Output is correct
69	Correct	54 ms	6248 KB	Output is correct
70	Correct	51 ms	3952 KB	Output is correct
71	Correct	142 ms	11360 KB	Output is correct
72	Correct	135 ms	11360 KB	Output is correct
73	Correct	128 ms	11360 KB	Output is correct
74	Correct	140 ms	11360 KB	Output is correct
75	Correct	133 ms	11360 KB	Output is correct
76	Correct	132 ms	11276 KB	Output is correct
77	Correct	126 ms	11108 KB	Output is correct
78	Correct	131 ms	11100 KB	Output is correct
79	Correct	127 ms	11104 KB	Output is correct
80	Correct	131 ms	11276 KB	Output is correct
81	Correct	74 ms	4036 KB	Output is correct
82	Correct	74 ms	3948 KB	Output is correct
83	Correct	75 ms	6256 KB	Output is correct
84	Correct	75 ms	6384 KB	Output is correct
85	Correct	76 ms	6256 KB	Output is correct
86	Correct	73 ms	6256 KB	Output is correct
87	Correct	74 ms	6256 KB	Output is correct
88	Correct	72 ms	6256 KB	Output is correct
89	Correct	75 ms	6348 KB	Output is correct
90	Correct	75 ms	6252 KB	Output is correct
91	Correct	65 ms	7404 KB	Output is correct
92	Correct	64 ms	7400 KB	Output is correct
93	Correct	69 ms	7540 KB	Output is correct
94	Correct	67 ms	7400 KB	Output is correct
95	Correct	63 ms	7400 KB	Output is correct
96	Correct	63 ms	7432 KB	Output is correct
97	Correct	64 ms	7404 KB	Output is correct
98	Correct	68 ms	7400 KB	Output is correct
99	Correct	64 ms	7400 KB	Output is correct
100	Correct	64 ms	7504 KB	Output is correct
101	Correct	0 ms	384 KB	Output is correct
102	Correct	1 ms	384 KB	Output is correct
103	Correct	1 ms	512 KB	Output is correct
104	Correct	1 ms	384 KB	Output is correct
105	Correct	1 ms	384 KB	Output is correct
106	Correct	1 ms	384 KB	Output is correct

답안 #253296

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 7.0 / 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
7.0 / 7.0