#include "bits/stdc++.h"
using namespace std;
#define ar array
typedef long long ll;
#define int __int128
const int N = 2e5 + 5;
const int MX = 1e9;
ll a[N], b[N], c[N], d[N];
int l_[N], r_[N];
signed main(){
ios::sync_with_stdio(0); cin.tie(0);
ll n, R; cin >> n >> R;
for(int i=0;i<n;i++){
cin >> a[i] >> b[i] >> c[i] >> d[i];
c[i] -= a[i], d[i] -= b[i];
}
auto sq = [&](int x) -> __int128{
return x * x;
};
for(int i=0;i<n;i++){
auto check = [&](int t) -> __int128{
int x = a[i] + c[i] * t, y = b[i] + d[i] * t;
return sq(x) + sq(y);
};
int l = 0, r = MX;
//~ if(c[i]) r = abs(MX / c[i]);
//~ if(d[i]) r = min(r, abs(MX / d[i]));
int mx = r;
while(l + 2 < r){
int m = (l + r) >> 1;
if(check(m) <= check(m + 1)){
r = m + 1;
} else {
l = m;
}
}
l_[i] = r_[i] = -1;
int T = l;
if(check(T) > check(l + 1)) T = l + 1;
if(check(T) > check(r)) T = r;
if(check(T) > sq(R)) continue;
l = 0, r = T;
while(l < r){
int m = (l + r) >> 1;
if(check(m) <= sq(R)) r = m;
else l = m + 1;
}
l_[i] = l;
l = T, r = mx;
while(l < r){
int m = (l + r) >> 1;
if(check(m) > sq(R)) r = m;
else l = m + 1;
}
r_[i] = l;
}
vector<ar<int, 2>> tot;
for(int i=0;i<n;i++){
tot.push_back({l_[i], 1});
tot.push_back({r_[i], -1});
}
sort(tot.begin(), tot.end());
ll res = 0, cur = 0;
for(auto [a, b] : tot){
cur += b;
res = max(res, cur);
}
cout<<res<<"\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
468 KB |
Output is correct |
4 |
Correct |
2 ms |
468 KB |
Output is correct |
5 |
Correct |
2 ms |
468 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
2 ms |
468 KB |
Output is correct |
15 |
Correct |
2 ms |
468 KB |
Output is correct |
16 |
Correct |
2 ms |
468 KB |
Output is correct |
17 |
Correct |
2 ms |
560 KB |
Output is correct |
18 |
Correct |
2 ms |
468 KB |
Output is correct |
19 |
Correct |
2 ms |
468 KB |
Output is correct |
20 |
Correct |
2 ms |
468 KB |
Output is correct |
21 |
Correct |
2 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
468 KB |
Output is correct |
4 |
Correct |
2 ms |
468 KB |
Output is correct |
5 |
Correct |
2 ms |
468 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
2 ms |
468 KB |
Output is correct |
15 |
Correct |
2 ms |
468 KB |
Output is correct |
16 |
Correct |
2 ms |
468 KB |
Output is correct |
17 |
Correct |
2 ms |
560 KB |
Output is correct |
18 |
Correct |
2 ms |
468 KB |
Output is correct |
19 |
Correct |
2 ms |
468 KB |
Output is correct |
20 |
Correct |
2 ms |
468 KB |
Output is correct |
21 |
Correct |
2 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
118 ms |
14924 KB |
Output is correct |
24 |
Correct |
115 ms |
14884 KB |
Output is correct |
25 |
Correct |
117 ms |
14936 KB |
Output is correct |
26 |
Correct |
117 ms |
14968 KB |
Output is correct |
27 |
Correct |
108 ms |
15036 KB |
Output is correct |
28 |
Correct |
131 ms |
14888 KB |
Output is correct |
29 |
Correct |
118 ms |
15024 KB |
Output is correct |
30 |
Correct |
113 ms |
14948 KB |
Output is correct |
31 |
Correct |
114 ms |
14968 KB |
Output is correct |
32 |
Correct |
149 ms |
14888 KB |
Output is correct |
33 |
Correct |
133 ms |
14968 KB |
Output is correct |
34 |
Correct |
139 ms |
14964 KB |
Output is correct |
35 |
Correct |
139 ms |
14980 KB |
Output is correct |
36 |
Correct |
135 ms |
14900 KB |
Output is correct |
37 |
Correct |
109 ms |
14928 KB |
Output is correct |
38 |
Correct |
115 ms |
14956 KB |
Output is correct |
39 |
Correct |
121 ms |
14920 KB |
Output is correct |
40 |
Correct |
111 ms |
14956 KB |
Output is correct |
41 |
Correct |
107 ms |
14864 KB |
Output is correct |
42 |
Correct |
108 ms |
14912 KB |
Output is correct |
43 |
Correct |
321 ms |
29332 KB |
Output is correct |
44 |
Correct |
291 ms |
29360 KB |
Output is correct |
45 |
Correct |
312 ms |
29308 KB |
Output is correct |
46 |
Correct |
318 ms |
29388 KB |
Output is correct |
47 |
Correct |
284 ms |
29372 KB |
Output is correct |
48 |
Correct |
297 ms |
29396 KB |
Output is correct |
49 |
Correct |
287 ms |
29440 KB |
Output is correct |
50 |
Correct |
290 ms |
29356 KB |
Output is correct |
51 |
Correct |
283 ms |
29480 KB |
Output is correct |
52 |
Correct |
285 ms |
29380 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
468 KB |
Output is correct |
4 |
Correct |
2 ms |
468 KB |
Output is correct |
5 |
Correct |
2 ms |
468 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
2 ms |
468 KB |
Output is correct |
15 |
Correct |
2 ms |
468 KB |
Output is correct |
16 |
Correct |
2 ms |
468 KB |
Output is correct |
17 |
Correct |
2 ms |
560 KB |
Output is correct |
18 |
Correct |
2 ms |
468 KB |
Output is correct |
19 |
Correct |
2 ms |
468 KB |
Output is correct |
20 |
Correct |
2 ms |
468 KB |
Output is correct |
21 |
Correct |
2 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
0 ms |
340 KB |
Output is correct |
24 |
Correct |
2 ms |
468 KB |
Output is correct |
25 |
Correct |
2 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
2 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
468 KB |
Output is correct |
4 |
Correct |
2 ms |
468 KB |
Output is correct |
5 |
Correct |
2 ms |
468 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
2 ms |
468 KB |
Output is correct |
15 |
Correct |
2 ms |
468 KB |
Output is correct |
16 |
Correct |
2 ms |
468 KB |
Output is correct |
17 |
Correct |
2 ms |
560 KB |
Output is correct |
18 |
Correct |
2 ms |
468 KB |
Output is correct |
19 |
Correct |
2 ms |
468 KB |
Output is correct |
20 |
Correct |
2 ms |
468 KB |
Output is correct |
21 |
Correct |
2 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
118 ms |
14924 KB |
Output is correct |
24 |
Correct |
115 ms |
14884 KB |
Output is correct |
25 |
Correct |
117 ms |
14936 KB |
Output is correct |
26 |
Correct |
117 ms |
14968 KB |
Output is correct |
27 |
Correct |
108 ms |
15036 KB |
Output is correct |
28 |
Correct |
131 ms |
14888 KB |
Output is correct |
29 |
Correct |
118 ms |
15024 KB |
Output is correct |
30 |
Correct |
113 ms |
14948 KB |
Output is correct |
31 |
Correct |
114 ms |
14968 KB |
Output is correct |
32 |
Correct |
149 ms |
14888 KB |
Output is correct |
33 |
Correct |
133 ms |
14968 KB |
Output is correct |
34 |
Correct |
139 ms |
14964 KB |
Output is correct |
35 |
Correct |
139 ms |
14980 KB |
Output is correct |
36 |
Correct |
135 ms |
14900 KB |
Output is correct |
37 |
Correct |
109 ms |
14928 KB |
Output is correct |
38 |
Correct |
115 ms |
14956 KB |
Output is correct |
39 |
Correct |
121 ms |
14920 KB |
Output is correct |
40 |
Correct |
111 ms |
14956 KB |
Output is correct |
41 |
Correct |
107 ms |
14864 KB |
Output is correct |
42 |
Correct |
108 ms |
14912 KB |
Output is correct |
43 |
Correct |
321 ms |
29332 KB |
Output is correct |
44 |
Correct |
291 ms |
29360 KB |
Output is correct |
45 |
Correct |
312 ms |
29308 KB |
Output is correct |
46 |
Correct |
318 ms |
29388 KB |
Output is correct |
47 |
Correct |
284 ms |
29372 KB |
Output is correct |
48 |
Correct |
297 ms |
29396 KB |
Output is correct |
49 |
Correct |
287 ms |
29440 KB |
Output is correct |
50 |
Correct |
290 ms |
29356 KB |
Output is correct |
51 |
Correct |
283 ms |
29480 KB |
Output is correct |
52 |
Correct |
285 ms |
29380 KB |
Output is correct |
53 |
Correct |
0 ms |
340 KB |
Output is correct |
54 |
Correct |
2 ms |
468 KB |
Output is correct |
55 |
Correct |
2 ms |
468 KB |
Output is correct |
56 |
Correct |
1 ms |
468 KB |
Output is correct |
57 |
Correct |
2 ms |
468 KB |
Output is correct |
58 |
Correct |
1 ms |
468 KB |
Output is correct |
59 |
Correct |
123 ms |
14904 KB |
Output is correct |
60 |
Correct |
122 ms |
14900 KB |
Output is correct |
61 |
Correct |
121 ms |
14840 KB |
Output is correct |
62 |
Correct |
133 ms |
14828 KB |
Output is correct |
63 |
Correct |
147 ms |
14916 KB |
Output is correct |
64 |
Correct |
122 ms |
14848 KB |
Output is correct |
65 |
Correct |
130 ms |
14952 KB |
Output is correct |
66 |
Correct |
141 ms |
14916 KB |
Output is correct |
67 |
Correct |
128 ms |
14896 KB |
Output is correct |
68 |
Correct |
146 ms |
14868 KB |
Output is correct |
69 |
Correct |
140 ms |
14904 KB |
Output is correct |
70 |
Correct |
150 ms |
14936 KB |
Output is correct |
71 |
Correct |
163 ms |
14848 KB |
Output is correct |
72 |
Correct |
138 ms |
14848 KB |
Output is correct |
73 |
Correct |
115 ms |
14904 KB |
Output is correct |
74 |
Correct |
145 ms |
14936 KB |
Output is correct |
75 |
Correct |
125 ms |
14916 KB |
Output is correct |
76 |
Correct |
113 ms |
14892 KB |
Output is correct |
77 |
Correct |
337 ms |
29332 KB |
Output is correct |
78 |
Correct |
295 ms |
29284 KB |
Output is correct |
79 |
Correct |
299 ms |
29372 KB |
Output is correct |
80 |
Correct |
298 ms |
29380 KB |
Output is correct |
81 |
Correct |
293 ms |
29364 KB |
Output is correct |
82 |
Correct |
288 ms |
29392 KB |
Output is correct |
83 |
Correct |
300 ms |
29412 KB |
Output is correct |
84 |
Correct |
286 ms |
29392 KB |
Output is correct |
85 |
Correct |
294 ms |
29408 KB |
Output is correct |
86 |
Correct |
314 ms |
29332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
468 KB |
Output is correct |
4 |
Correct |
2 ms |
468 KB |
Output is correct |
5 |
Correct |
2 ms |
468 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
2 ms |
468 KB |
Output is correct |
15 |
Correct |
2 ms |
468 KB |
Output is correct |
16 |
Correct |
2 ms |
468 KB |
Output is correct |
17 |
Correct |
2 ms |
560 KB |
Output is correct |
18 |
Correct |
2 ms |
468 KB |
Output is correct |
19 |
Correct |
2 ms |
468 KB |
Output is correct |
20 |
Correct |
2 ms |
468 KB |
Output is correct |
21 |
Correct |
2 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
118 ms |
14924 KB |
Output is correct |
24 |
Correct |
115 ms |
14884 KB |
Output is correct |
25 |
Correct |
117 ms |
14936 KB |
Output is correct |
26 |
Correct |
117 ms |
14968 KB |
Output is correct |
27 |
Correct |
108 ms |
15036 KB |
Output is correct |
28 |
Correct |
131 ms |
14888 KB |
Output is correct |
29 |
Correct |
118 ms |
15024 KB |
Output is correct |
30 |
Correct |
113 ms |
14948 KB |
Output is correct |
31 |
Correct |
114 ms |
14968 KB |
Output is correct |
32 |
Correct |
149 ms |
14888 KB |
Output is correct |
33 |
Correct |
133 ms |
14968 KB |
Output is correct |
34 |
Correct |
139 ms |
14964 KB |
Output is correct |
35 |
Correct |
139 ms |
14980 KB |
Output is correct |
36 |
Correct |
135 ms |
14900 KB |
Output is correct |
37 |
Correct |
109 ms |
14928 KB |
Output is correct |
38 |
Correct |
115 ms |
14956 KB |
Output is correct |
39 |
Correct |
121 ms |
14920 KB |
Output is correct |
40 |
Correct |
111 ms |
14956 KB |
Output is correct |
41 |
Correct |
107 ms |
14864 KB |
Output is correct |
42 |
Correct |
108 ms |
14912 KB |
Output is correct |
43 |
Correct |
321 ms |
29332 KB |
Output is correct |
44 |
Correct |
291 ms |
29360 KB |
Output is correct |
45 |
Correct |
312 ms |
29308 KB |
Output is correct |
46 |
Correct |
318 ms |
29388 KB |
Output is correct |
47 |
Correct |
284 ms |
29372 KB |
Output is correct |
48 |
Correct |
297 ms |
29396 KB |
Output is correct |
49 |
Correct |
287 ms |
29440 KB |
Output is correct |
50 |
Correct |
290 ms |
29356 KB |
Output is correct |
51 |
Correct |
283 ms |
29480 KB |
Output is correct |
52 |
Correct |
285 ms |
29380 KB |
Output is correct |
53 |
Correct |
123 ms |
14904 KB |
Output is correct |
54 |
Correct |
122 ms |
14900 KB |
Output is correct |
55 |
Correct |
121 ms |
14840 KB |
Output is correct |
56 |
Correct |
133 ms |
14828 KB |
Output is correct |
57 |
Correct |
147 ms |
14916 KB |
Output is correct |
58 |
Correct |
122 ms |
14848 KB |
Output is correct |
59 |
Correct |
130 ms |
14952 KB |
Output is correct |
60 |
Correct |
141 ms |
14916 KB |
Output is correct |
61 |
Correct |
128 ms |
14896 KB |
Output is correct |
62 |
Correct |
146 ms |
14868 KB |
Output is correct |
63 |
Correct |
140 ms |
14904 KB |
Output is correct |
64 |
Correct |
150 ms |
14936 KB |
Output is correct |
65 |
Correct |
163 ms |
14848 KB |
Output is correct |
66 |
Correct |
138 ms |
14848 KB |
Output is correct |
67 |
Correct |
115 ms |
14904 KB |
Output is correct |
68 |
Correct |
145 ms |
14936 KB |
Output is correct |
69 |
Correct |
125 ms |
14916 KB |
Output is correct |
70 |
Correct |
113 ms |
14892 KB |
Output is correct |
71 |
Correct |
337 ms |
29332 KB |
Output is correct |
72 |
Correct |
295 ms |
29284 KB |
Output is correct |
73 |
Correct |
299 ms |
29372 KB |
Output is correct |
74 |
Correct |
298 ms |
29380 KB |
Output is correct |
75 |
Correct |
293 ms |
29364 KB |
Output is correct |
76 |
Correct |
288 ms |
29392 KB |
Output is correct |
77 |
Correct |
300 ms |
29412 KB |
Output is correct |
78 |
Correct |
286 ms |
29392 KB |
Output is correct |
79 |
Correct |
294 ms |
29408 KB |
Output is correct |
80 |
Correct |
314 ms |
29332 KB |
Output is correct |
81 |
Correct |
0 ms |
340 KB |
Output is correct |
82 |
Correct |
2 ms |
468 KB |
Output is correct |
83 |
Correct |
2 ms |
468 KB |
Output is correct |
84 |
Correct |
1 ms |
468 KB |
Output is correct |
85 |
Correct |
2 ms |
468 KB |
Output is correct |
86 |
Correct |
1 ms |
468 KB |
Output is correct |
87 |
Correct |
135 ms |
14936 KB |
Output is correct |
88 |
Correct |
136 ms |
14916 KB |
Output is correct |
89 |
Correct |
162 ms |
14896 KB |
Output is correct |
90 |
Correct |
140 ms |
14916 KB |
Output is correct |
91 |
Correct |
133 ms |
14864 KB |
Output is correct |
92 |
Correct |
141 ms |
14804 KB |
Output is correct |
93 |
Correct |
162 ms |
14928 KB |
Output is correct |
94 |
Correct |
144 ms |
14888 KB |
Output is correct |
95 |
Correct |
143 ms |
14900 KB |
Output is correct |
96 |
Correct |
145 ms |
14880 KB |
Output is correct |
97 |
Correct |
137 ms |
14936 KB |
Output is correct |
98 |
Correct |
122 ms |
14884 KB |
Output is correct |
99 |
Correct |
139 ms |
14888 KB |
Output is correct |
100 |
Correct |
131 ms |
14852 KB |
Output is correct |
101 |
Correct |
139 ms |
15036 KB |
Output is correct |
102 |
Correct |
122 ms |
14944 KB |
Output is correct |
103 |
Correct |
122 ms |
14848 KB |
Output is correct |
104 |
Correct |
132 ms |
14892 KB |
Output is correct |
105 |
Correct |
140 ms |
14864 KB |
Output is correct |
106 |
Correct |
126 ms |
14884 KB |
Output is correct |