Submission #253296

# Submission time Handle Problem Language Result Execution time Memory
253296 2020-07-27T16:03:08 Z DystoriaX Wish (LMIO19_noras) C++14
100 / 100
142 ms 11360 KB
#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;
}
# Verdict Execution time Memory 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
# Verdict Execution time Memory 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
# Verdict Execution time Memory 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
# Verdict Execution time Memory 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
# Verdict Execution time Memory 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