#include "bits/stdc++.h"
using namespace std;
#define ar array
typedef long long ll;
#define int ll
const int N = 2e5 + 5;
const int MX = 3e4;
int a[N], b[N], c[N], d[N];
int l_[N], r_[N];
signed main(){
ios::sync_with_stdio(0); cin.tie(0);
int 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;
for(int i=T + 1;i<mx;i++){
assert(check(i - 1) <= check(i));
}
for(int i=T-1;i>=0;i--){
assert(check(i + 1) <= check(i));
}
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());
int 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 |
82 ms |
392 KB |
Output is correct |
4 |
Correct |
88 ms |
396 KB |
Output is correct |
5 |
Correct |
84 ms |
400 KB |
Output is correct |
6 |
Correct |
81 ms |
400 KB |
Output is correct |
7 |
Correct |
86 ms |
400 KB |
Output is correct |
8 |
Correct |
2 ms |
340 KB |
Output is correct |
9 |
Correct |
3 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
2 ms |
340 KB |
Output is correct |
12 |
Correct |
2 ms |
336 KB |
Output is correct |
13 |
Correct |
2 ms |
324 KB |
Output is correct |
14 |
Correct |
84 ms |
404 KB |
Output is correct |
15 |
Correct |
84 ms |
404 KB |
Output is correct |
16 |
Correct |
81 ms |
408 KB |
Output is correct |
17 |
Correct |
94 ms |
404 KB |
Output is correct |
18 |
Correct |
91 ms |
400 KB |
Output is correct |
19 |
Correct |
81 ms |
396 KB |
Output is correct |
20 |
Correct |
85 ms |
400 KB |
Output is correct |
21 |
Correct |
84 ms |
408 KB |
Output is correct |
22 |
Correct |
90 ms |
412 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 |
82 ms |
392 KB |
Output is correct |
4 |
Correct |
88 ms |
396 KB |
Output is correct |
5 |
Correct |
84 ms |
400 KB |
Output is correct |
6 |
Correct |
81 ms |
400 KB |
Output is correct |
7 |
Correct |
86 ms |
400 KB |
Output is correct |
8 |
Correct |
2 ms |
340 KB |
Output is correct |
9 |
Correct |
3 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
2 ms |
340 KB |
Output is correct |
12 |
Correct |
2 ms |
336 KB |
Output is correct |
13 |
Correct |
2 ms |
324 KB |
Output is correct |
14 |
Correct |
84 ms |
404 KB |
Output is correct |
15 |
Correct |
84 ms |
404 KB |
Output is correct |
16 |
Correct |
81 ms |
408 KB |
Output is correct |
17 |
Correct |
94 ms |
404 KB |
Output is correct |
18 |
Correct |
91 ms |
400 KB |
Output is correct |
19 |
Correct |
81 ms |
396 KB |
Output is correct |
20 |
Correct |
85 ms |
400 KB |
Output is correct |
21 |
Correct |
84 ms |
408 KB |
Output is correct |
22 |
Correct |
90 ms |
412 KB |
Output is correct |
23 |
Execution timed out |
1071 ms |
5264 KB |
Time limit exceeded |
24 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
82 ms |
392 KB |
Output is correct |
4 |
Correct |
88 ms |
396 KB |
Output is correct |
5 |
Correct |
84 ms |
400 KB |
Output is correct |
6 |
Correct |
81 ms |
400 KB |
Output is correct |
7 |
Correct |
86 ms |
400 KB |
Output is correct |
8 |
Correct |
2 ms |
340 KB |
Output is correct |
9 |
Correct |
3 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
2 ms |
340 KB |
Output is correct |
12 |
Correct |
2 ms |
336 KB |
Output is correct |
13 |
Correct |
2 ms |
324 KB |
Output is correct |
14 |
Correct |
84 ms |
404 KB |
Output is correct |
15 |
Correct |
84 ms |
404 KB |
Output is correct |
16 |
Correct |
81 ms |
408 KB |
Output is correct |
17 |
Correct |
94 ms |
404 KB |
Output is correct |
18 |
Correct |
91 ms |
400 KB |
Output is correct |
19 |
Correct |
81 ms |
396 KB |
Output is correct |
20 |
Correct |
85 ms |
400 KB |
Output is correct |
21 |
Correct |
84 ms |
408 KB |
Output is correct |
22 |
Correct |
90 ms |
412 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
90 ms |
396 KB |
Output is correct |
25 |
Correct |
94 ms |
460 KB |
Output is correct |
26 |
Correct |
87 ms |
464 KB |
Output is correct |
27 |
Correct |
89 ms |
408 KB |
Output is correct |
28 |
Correct |
92 ms |
388 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 |
82 ms |
392 KB |
Output is correct |
4 |
Correct |
88 ms |
396 KB |
Output is correct |
5 |
Correct |
84 ms |
400 KB |
Output is correct |
6 |
Correct |
81 ms |
400 KB |
Output is correct |
7 |
Correct |
86 ms |
400 KB |
Output is correct |
8 |
Correct |
2 ms |
340 KB |
Output is correct |
9 |
Correct |
3 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
2 ms |
340 KB |
Output is correct |
12 |
Correct |
2 ms |
336 KB |
Output is correct |
13 |
Correct |
2 ms |
324 KB |
Output is correct |
14 |
Correct |
84 ms |
404 KB |
Output is correct |
15 |
Correct |
84 ms |
404 KB |
Output is correct |
16 |
Correct |
81 ms |
408 KB |
Output is correct |
17 |
Correct |
94 ms |
404 KB |
Output is correct |
18 |
Correct |
91 ms |
400 KB |
Output is correct |
19 |
Correct |
81 ms |
396 KB |
Output is correct |
20 |
Correct |
85 ms |
400 KB |
Output is correct |
21 |
Correct |
84 ms |
408 KB |
Output is correct |
22 |
Correct |
90 ms |
412 KB |
Output is correct |
23 |
Execution timed out |
1071 ms |
5264 KB |
Time limit exceeded |
24 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
82 ms |
392 KB |
Output is correct |
4 |
Correct |
88 ms |
396 KB |
Output is correct |
5 |
Correct |
84 ms |
400 KB |
Output is correct |
6 |
Correct |
81 ms |
400 KB |
Output is correct |
7 |
Correct |
86 ms |
400 KB |
Output is correct |
8 |
Correct |
2 ms |
340 KB |
Output is correct |
9 |
Correct |
3 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
2 ms |
340 KB |
Output is correct |
12 |
Correct |
2 ms |
336 KB |
Output is correct |
13 |
Correct |
2 ms |
324 KB |
Output is correct |
14 |
Correct |
84 ms |
404 KB |
Output is correct |
15 |
Correct |
84 ms |
404 KB |
Output is correct |
16 |
Correct |
81 ms |
408 KB |
Output is correct |
17 |
Correct |
94 ms |
404 KB |
Output is correct |
18 |
Correct |
91 ms |
400 KB |
Output is correct |
19 |
Correct |
81 ms |
396 KB |
Output is correct |
20 |
Correct |
85 ms |
400 KB |
Output is correct |
21 |
Correct |
84 ms |
408 KB |
Output is correct |
22 |
Correct |
90 ms |
412 KB |
Output is correct |
23 |
Execution timed out |
1071 ms |
5264 KB |
Time limit exceeded |
24 |
Halted |
0 ms |
0 KB |
- |